Publications

Publications HAL du labo/EPI 108959;1096064

2024

Journal articles

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Alexey Koshkin, Ulysse Herbach, María Rodríguez Martínez, Olivier Gandrillon, Fabien Crauste. Stochastic modeling of a gene regulatory network driving B cell development in germinal centers. PLoS ONE, 2024, 19 (3), pp.e0301022. ⟨10.1371/journal.pone.0301022⟩. ⟨hal-04490302v3⟩
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Avelin Aghokeng, Nicole Ngo-Giang-Huong, Thu Huynh, Anoumou Dagnra, Thomas D’aquin Toni, et al.. Prevalence of pretreatment HIV resistance to integrase inhibitors in West African and Southeast Asian countries. Journal of Antimicrobial Chemotherapy, 2024, online first (dkae087), ⟨10.1093/jac/dkae087⟩. ⟨hal-04533843⟩
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Vincent Calvez, Thomas Lepoutre, David Poyato. Ergodicity of the Fisher infinitesimal model with quadratic selection. Nonlinear Analysis: Theory, Methods and Applications, 2024, 238, pp.113392. ⟨10.1016/j.na.2023.113392⟩. ⟨hal-03274734v2⟩
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https://hal.science/hal-03274734/file/CLP-infinitesimal-model-quadratic.pdf BibTex
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Gervillien Arnold Malonga, Almoustapha Issiaka Maiga, Dimitry Moudiongui Mboungou Malanda, Mahamadou Saliou, Juthèce Private Malanda-Kiminou, et al.. Seroprevalence of Crimean-Congo hemorrhagic fever virus among people living with HIV in Brazzaville, Congo and among blood donors in Bamako, Mali. Ticks and Tick-borne Diseases, 2024, 15 (1), pp.102276. ⟨10.1016/j.ttbdis.2023.102276⟩. ⟨hal-04458727⟩
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Reports

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Samuel Bernard, Fabien Crauste, Olivier Gandrillon, Carole Knibbe, David Parsons. Simuscale: A Modular Framework for Multiscale Single-Cell Modelling. RT-0520, Inria Lyon. 2024, pp.18. ⟨hal-04400510⟩
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Preprints, Working Papers, …

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Vincent Calvez, Adil El Abdouni, Maxime Estavoyer, Ignacio Madrid, Julien Olivier, et al.. Regime switching on the propagation speed of travelling waves of some size-structured Myxobacteria population models. 2024. ⟨hal-04532644⟩
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Maxime Estavoyer, Thomas Lepoutre. Travelling waves for a fast reaction limit of a discrete coagulation-fragmentation model with diffusion and proliferation. 2024. ⟨hal-04516285⟩
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Thi Nhu Thao Nguyen, Madge Martin, C Arpin, Samuel Bernard, Olivier Gandrillon, et al.. In silico modelling of CD8 T cell immune response links genetic regulation to population dynamics. 2024. ⟨hal-04489553⟩
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Hugo da Cunha, Clément Erignoux, Marielle Simon. Hydrodynamic limit for a boundary-driven facilitated exclusion process. 2024. ⟨hal-04449478⟩
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Clément Erignoux, Linjie Zhao. Stationary fluctuations for the facilitated exclusion process. 2024. ⟨hal-04379637⟩
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https://hal.science/hal-04379637/file/2305.13853.pdf BibTex

2023

Journal articles

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Mostafa Adimy, Abdennasser Chekroun, Charlotte Dugourd-Camus, Hanene Meghelli. Global Asymptotic Stability of a Hybrid Differential–Difference System Describing SIR and SIS Epidemic Models with a Protection Phase and a Nonlinear Force of Infection. Qualitative Theory of Dynamical Systems, 2023, 23 (34), pp.32. ⟨10.1007/s12346-023-00891-z⟩. ⟨hal-04271594⟩
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James Mason, Clément Erignoux, Robert Jack, Maria Bruna. Exact hydrodynamics and onset of phase separation for an active exclusion process. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2023, 479 (2279), ⟨10.1098/rspa.2023.0524⟩. ⟨hal-04379583⟩
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Kyriaki Dariva, Thomas Lepoutre. Influence of the age structure on the stability in a tumor-immune model for chronic myeloid leukemia. Mathematical Modelling of Natural Phenomena, 2023, 54 (2), pp.619-648. ⟨10.1051/mmnp/2023034⟩. ⟨hal-03128770⟩
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Mostafa Adimy, Abdennasser Chekroun, Toshikazu Kuniya. Global asymptotic stability for a distributed delay differential-difference system of a Kermack-McKendrick SIR model. Applicable Analysis, 2023, 102 (Issue 12), pp.1-13. ⟨10.1080/00036811.2022.2075352⟩. ⟨hal-03683861⟩
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Elise Berthel, Laurent Pujo-Menjouet, Eymeric Le Reun, Laurène Sonzogni, Joëlle Al-Choboq, et al.. Toward an Early Diagnosis for Alzheimer’s Disease Based on the Perinuclear Localization of the ATM Protein. Cells, 2023, 12 (13), pp.1747. ⟨10.3390/cells12131747⟩. ⟨hal-04157903⟩
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https://hal.science/hal-04157903/file/CELLS-2023.pdf BibTex
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Mostafa Adimy, Abdennasser Chekroun, Toshikazu Kuniya, Hanene Meghelli. Global stability of a SEIR discrete delay differential‐difference system with protection phase. Mathematical Methods in the Applied Sciences, 2023, 2023, pp.21. ⟨10.1002/mma.9533⟩. ⟨hal-04273580⟩
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Jimmy Garnier, Olivier Cotto, Emeric Bouin, Thibault Bourgeron, Thomas Lepoutre, et al.. Adaptation of a quantitative trait to a changing environment: new analytical insights on the asexual and infinitesimal sexual models.. Theoretical Population Biology, 2023, 152, pp.1-22. ⟨10.1016/j.tpb.2023.04.002⟩. ⟨hal-03702032v4⟩
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https://hal.science/hal-03702032/file/Evolution_Sex___Asex%20%282%29.pdf BibTex
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Clément Erignoux, Marielle Simon, Linjie Zhao. Asymmetric attractive zero-range processes with particle destruction at the origin. Stochastic Processes and their Applications, 2023, 159, pp.1-33. ⟨10.1016/j.spa.2023.01.015⟩. ⟨hal-03431141⟩
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Nan Papili Gao, Olivier Gandrillon, András Páldi, Ulysse Herbach, Rudiyanto Gunawan. Single-cell transcriptional uncertainty landscape of cell differentiation. F1000Research, 2023, 12, pp.426. ⟨10.12688/f1000research.131861.2⟩. ⟨hal-04082461⟩
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Elias Ventre, Ulysse Herbach, Thibault Espinasse, Gérard Benoit, Olivier Gandrillon. One model fits all: Combining inference and simulation of gene regulatory networks. PLoS Computational Biology, 2023, 19 (3), pp.e1010962. ⟨10.1371/journal.pcbi.1010962⟩. ⟨hal-04071033⟩
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Samuel Bernard, Kirsty L Spalding. Implication of lipid turnover for the control of energy balance. Philosophical Transactions of the Royal Society B: Biological Sciences, 2023, 378 (1888), pp.20220202. ⟨10.1098/rstb.2022.0202⟩. ⟨hal-04195827⟩
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Mostafa Adimy, Abdennasser Chekroun, Laurent Pujo-Menjouet, Mattia Sensi. A multigroup approach to delayed prion production. Discrete and Continuous Dynamical Systems – Series B, 2023, ⟨10.3934/dcdsb.2023209⟩. ⟨hal-04162164⟩
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Marie Paule Gustin, Laurent Pujo-Menjouet, Philippe Vanhems. Influenza transmissibility among patients and health-care professionals in a geriatric short-stay unit using individual contact data. Scientific Reports, 2023, 13 (1), pp.10547. ⟨10.1038/s41598-023-36908-5⟩. ⟨hal-04157830⟩
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2022

Journal articles

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Mostafa Adimy, Louis Babin, Laurent Pujo-Menjouet. Neuron Scale Modeling of Prion Production with the Unfolded Protein Response. SIAM Journal on Applied Dynamical Systems, 2022, 21 (4), pp.2487-2517. ⟨10.1137/21M1443157⟩. ⟨hal-03962123⟩
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L Dekens, S P Otto, V Calvez. The best of both worlds: Combining population genetic and quantitative genetic models. Theoretical Population Biology, 2022, 148, pp.49-75. ⟨10.1016/j.tpb.2022.10.002⟩. ⟨hal-03440065v2⟩
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Mostafa Adimy, Julien Molina, Laurent Pujo-Menjouet, Grégoire Ranson, Jianhong Wu. Forecasting the Effect of Pre-Exposure Prophylaxis (PrEP) on HIV Propagation with a System of Differential–Difference Equations with Delay. Mathematics , 2022, 10 (21), pp.4093. ⟨10.3390/math10214093⟩. ⟨hal-03845950⟩
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Mostafa Adimy, Abdennasser Chekroun, Abderrahim El Abdllaoui, Arsène Marzorati. Discrete maturity and delay differential-difference model of hematopoietic cell dynamics with applications to acute myelogenous leukemia. Journal of Biological Systems, 2022, 30 (03), pp.497-527. ⟨10.1142/S0218339022500176⟩. ⟨hal-03918042⟩
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Samiran Ghosh, Vitaly Volpert, Malay Banerjee. An Epidemic Model with Time Delay Determined by the Disease Duration. Mathematics , 2022, 10, ⟨10.3390/math10152561⟩. ⟨hal-03840322⟩
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Vincent Calvez, Benoît Henry, Sylvie Méléard, Viet Chi Tran. Dynamics of lineages in adaptation to a gradual environmental change. Annales Henri Lebesgue, 2022, 5, pp.729-777. ⟨10.5802/ahl.135⟩. ⟨hal-03205023⟩
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Samiran Ghosh, Vitaly Volpert, Malay Banerjee. An Epidemic Model with Time-Distributed Recovery and Death Rates. Bulletin of Mathematical Biology, 2022, 84, ⟨10.1007/s11538-022-01028-0⟩. ⟨hal-03840307⟩
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Cristina Leon, Alexey A Tokarev, Vitaly A Volpert. Modelling of cytokine storm in respiratory viral infections. Computer Research and Modeling, 2022, 14, pp.619 – 645. ⟨10.20537/2076-7633-2022-14-3-619-645⟩. ⟨hal-03840309⟩
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L Ait Mahiout, Anastasia Mozokhina, A Tokarev, V Volpert. Virus replication and competition in a cell culture: Application to the SARS-CoV-2 variants. Applied Mathematics Letters, 2022, 133, ⟨10.1016/j.aml.2022.108217⟩. ⟨hal-03840306⟩
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Maxim Kuznetsov, Jean Clairambault, Vitali Volpert. Perspectives in cancer treatment. Reply to comments on “Improving cancer treatments via dynamical biophysical models”. Physics of Life Reviews, In press, ⟨10.1016/j.plrev.2022.05.003⟩. ⟨hal-03661846⟩
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Latifa Ait Mahiout, Nikolai Bessonov, Bogdan Kazmierczak, Georges Sadaka, Vitaly Volpert. Infection spreading in cell culture as a reaction-diffusion wave. ESAIM: Mathematical Modelling and Numerical Analysis, 2022, 56 (3), pp.791-814. ⟨10.1051/m2an/2022019⟩. ⟨hal-03651662⟩
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Charles Dussiau, Agathe Boussaroque, Mathilde Gaillard, Clotilde Bravetti, Laila Zaroili, et al.. Hematopoietic differentiation is characterized by a transient peak of entropy at a single-cell level. BMC Biology, 2022, 20 (1), pp.60. ⟨10.1186/s12915-022-01264-9⟩. ⟨inserm-03693012⟩
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Cristina Leon, Irina Kutsenko, Vitaly Volpert. Existence of solutions for a nonlocal reaction-diffusion equation in biomedical applications. Israel Journal of Mathematics, 2022, 248, pp.67 – 93. ⟨10.1007/s11856-022-2294-6⟩. ⟨hal-03840319⟩
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Jairo Gomes Da Silva, Izabel Cristina Rodrigues Da Silva, Mostafa Adimy, Paulo Fernando de Arruda Mancera. The effect of lenvatinib and pembrolizumab on thyroid cancer refractory to iodine 131I simulated by mathematical modeling. Journal of Biological Systems, 2022, 30 (01), pp.93-112. ⟨10.1142/S0218339022500036⟩. ⟨hal-03683414⟩
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Abdennasser Chekroun, Laurent Pujo-Menjouet, Steve Falcoz, Kamyine Tsuen, Kevin Tsueng, et al.. Theoretical evidence of osteoblast self-inhibition after activation of the genetic regulatory network controlling mineralization. Journal of Theoretical Biology, 2022, 537, pp.111005. ⟨10.1016/j.jtbi.2022.111005⟩. ⟨hal-03924769⟩
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Léonard Dekens. Evolutionary dynamics of complex traits in sexual populations in a heterogeneous environment: how normal?. Journal of Mathematical Biology, 2022, ⟨10.1007/s00285-021-01712-0⟩. ⟨hal-03073813v2⟩
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Latifa Ait Mahiout, Bogdan Kazmierczak, Vitaly Volpert. Viral Infection Spreading and Mutation in Cell Culture. Mathematics , 2022, 10, ⟨10.3390/math10020256⟩. ⟨hal-03840321⟩
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Jaafar El Karkri, Fatima Boudchich, Vitaly Volpert, Rajae Aboulaich. Stability Analysis of a Delayed Immune Response Model to Viral Infection. Differential Equations and Dynamical Systems, 2022, ⟨10.1007/s12591-022-00594-y⟩. ⟨hal-03840311⟩
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Elias Ventre. Reverse engineering of a mechanistic model of gene expression using metastability and temporal dynamics. In Silico Biology, 2022, 14 (3-4), pp.89-113. ⟨10.3233/ISB-210226⟩. ⟨hal-03531749⟩
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Mostafa Adimy, Abdennasser Chekroun, Toshikazu Kuniya. Traveling waves of a differential-difference diffusive Kermack-McKendrick epidemic model with age-structured protection phase. Journal of Mathematical Analysis and Applications, 2022, 505 (1), pp.125464. ⟨10.1016/j.jmaa.2021.125464⟩. ⟨hal-03518604⟩
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Mostafa Adimy, Louis Babin, Laurent Pujo-Menjouet. Why Are Periodic Erythrocytic Diseases so Rare in Humans?. Bulletin of Mathematical Biology, 2022, 84 (19), pp.1-19. ⟨10.1007/s11538-021-00973-6⟩. ⟨hal-03516975⟩
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Nicholas Bessonov, Gennady Bocharov, Vitaly Volpert. Space and Genotype-Dependent Virus Distribution during Infection Progression. Mathematics , 2022, 10 (1), pp.96. ⟨10.3390/math10010096⟩. ⟨hal-04134233⟩
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Helena Todorov, Margaux Prieux, Daphne Laubreton, Matteo Bouvier, Shaoying Wang, et al.. CD8 memory precursor cell generation is a continuous process. iScience, 2022, 25 (9), pp.104927. ⟨10.1016/j.isci.2022.104927⟩. ⟨hal-03842898⟩
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Mostafa Adimy, Abdennasser Chekroun, Bogdan Kazmierczak. Traveling waves for reaction-diffusion PDE coupled to difference equation with nonlocal dispersal term and time delay. Mathematical Modelling of Natural Phenomena, 2022, 17, pp.17. ⟨10.1051/mmnp/2022021⟩. ⟨hal-03697707⟩
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Anastasia A. Masalceva, Valeriia N. Kaneva, Mikhail A. Panteleev, Fazoil Ataullakhanov, Vitaly Volpert, et al.. Analysis of microvascular thrombus mechanobiology with a novel particle-based model. Journal of Biomechanics, 2022, 130, pp.110801. ⟨10.1016/j.jbiomech.2021.110801⟩. ⟨hal-04134234⟩
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Vincent Calvez, Christopher Henderson, Sepideh Mirrahimi, Olga Turanova, Thierry Dumont. Non-local competition slows down front acceleration during dispersal evolution. Annales Henri Lebesgue, 2022, 5, pp.1-71. ⟨10.5802/ahl.117⟩. ⟨hal-01963994⟩
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Thomas Lepoutre, Nicolas Meunier. Analysis of a model of cell crawling migration. Communications in Mathematical Sciences, 2022, 20 (6), pp.1589-1611. ⟨10.4310/CMS.2022.v20.n6.a6⟩. ⟨hal-03779089⟩
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Souad Zreika, Camille Fourneaux, Elodie Vallin, Laurent Modolo, Remi Seraphin, et al.. Evidence for close molecular proximity between reverting and undifferentiated cells. BMC Biology, 2022, 20 (1), pp.155. ⟨10.1186/s12915-022-01363-7⟩. ⟨hal-04134084⟩
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Samiran Ghosh, Malay Banerjee, Vitaly Volpert. Immuno-Epidemiological Model-Based Prediction of Further Covid-19 Epidemic Outbreaks Due to Immunity Waning. Mathematical Modelling of Natural Phenomena, 2022, 17, ⟨10.1051/mmnp/2022017⟩. ⟨hal-03840324⟩
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Conference papers

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Fabien Crauste, Olivier Gandrillon, Madge Martin, Thi Nhu Thao Nguyen, Samuel Bernard. A multi-scale model for CD8+ T cell immune response. Journées Math Bio Santé 2022, GDR MathSAV; GT Mabiome, Oct 2022, Besançon, France. ⟨hal-04193666⟩
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Theses

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Elias Ventre. Analysis, calibration and evaluation of stochastic models of gene expression. Probability [math.PR]. Ecole normale supérieure de lyon – ENS LYON, 2022. English. ⟨NNT : 2022ENSL0018⟩. ⟨tel-03848137⟩
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Mete Demircigil. Collective Movement in Dictyostelium discoideum and Other Species. Modeling, Analysis and Simulations. Analysis of PDEs [math.AP]. Université Claude Bernard – Lyon 1; Institut Camille Jordan, 2022. English. ⟨NNT : ⟩. ⟨tel-03880366⟩
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Léonard Dekens. Quantifying the influence of sexual reproduction on the spatial eco-evo dynamics of species characterized by complex traits: asymptotic methods.. Analysis of PDEs [math.AP]. Université Claude Bernard Lyon I, 2022. English. ⟨NNT : ⟩. ⟨tel-03877911⟩
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Kyriaki Dariva. Contributions à l’étude de la stabilité dans des modèles de populations de cellules. Mathématiques générales [math.GM]. Université de Lyon, 2022. Français. ⟨NNT : 2022LYSE1097⟩. ⟨tel-03956608v2⟩
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Preprints, Working Papers, …

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Ionel Ciuperca, Laurent Pujo-Menjouet, Leon Matar-Tine, Nicolas Torres, Vitaly Volpert. A qualitative analysis of an Aβ-monomer model with inflammation processes for Alzheimer’s disease. 2022. ⟨hal-03877951v2⟩
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Vincent Calvez, Hélène Hivert, Havva Yoldaş. Concentration in Lotka-Volterra parabolic equations: an asymptotic-preserving scheme. 2022. ⟨hal-03635830⟩
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Mete Demircigil. When Self-Generated Gradients interact with Expansion by Cell Division and Diffusion. Analysis of a Minimal Model. 2022. ⟨hal-03601815⟩
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2021

Journal articles

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Elias Ventre, Thibault Espinasse, Charles-Edouard Bréhier, Vincent Calvez, Thomas Lepoutre, et al.. Reduction of a stochastic model of gene expression: Lagrangian dynamics gives access to basins of attraction as cell types and metastabilty. Journal of Mathematical Biology, 2021, 83 (59), ⟨10.1007/s00285-021-01684-1⟩. ⟨hal-03243421⟩
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Maxim Kuznetsov, Jean Clairambault, Vitaly Volpert. Improving cancer treatments via dynamical biophysical models. Physics of Life Reviews, 2021, pp.1-84. ⟨10.1016/j.plrev.2021.10.001⟩. ⟨hal-03390854⟩
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Ronan Duchesne, Anissa Guillemin, Olivier Gandrillon, Fabien Crauste. Practical identifiability in the frame of nonlinear mixed effects models: the example of the in vitro erythropoiesis. BMC Bioinformatics, 2021, pp.1-21. ⟨10.1186/s12859-021-04373-4⟩. ⟨hal-03364480⟩
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Mostafa Adimy, Pablo Amster, Julián Epstein. Periodic solutions for a nonautonomous mathematical model of hematopoietic stem cell dynamics. Nonlinear Analysis: Theory, Methods and Applications, 2021, 211, pp.112397. ⟨10.1016/j.na.2021.112397⟩. ⟨hal-03518591⟩
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Anastasia Mozokhina, Anass Bouchnita, Vitaly Volpert. Blood Clotting Decreases Pulmonary Circulation during the Coronavirus Disease. Mathematics , 2021, 9 (19), pp.1-18. ⟨10.3390/math9192401⟩. ⟨hal-03404818⟩
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Olivier Gandrillon, Mathilde Gaillard, Thibault Espinasse, Nicolas B Garnier, Charles Dussiau, et al.. Entropy as a measure of variability and stemness in single-cell transcriptomics. Current Opinion in Systems Biology, 2021, 27, pp.1-14. ⟨10.1016/j.coisb.2021.05.009⟩. ⟨hal-03378505⟩
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Felipe de A Camargo, Mostafa Adimy, Lourdes Esteva, Clémence Métayer, Cláudia P Ferreira. Modeling the Relationship Between Antibody-Dependent Enhancement and Disease Severity in Secondary Dengue Infection. Bulletin of Mathematical Biology, 2021, 83 (8), pp.1-28. ⟨10.1007/s11538-021-00919-y⟩. ⟨hal-03400267⟩
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Vitali Vougalter, Vitaly Volpert. Solvability of some integro-differential equations with anomalous diffusion and transport. Analysis and Mathematical Physics, 2021, 11, pp.1-26. ⟨10.1007/s13324-021-00571-8⟩. ⟨hal-03379108⟩
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Chloe Audebert, Daphné Laubreton, Christophe Arpin, Olivier Gandrillon, Jacqueline Marvel, et al.. Modeling and characterization of inter-individual variability in CD8 T cell responses in mice. In Silico Biology, 2021, 14 (1-2), pp.13-39. ⟨10.3233/ISB-200205⟩. ⟨hal-03136073⟩
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Martin Andrade-Restrepo, Ionel Sorin Ciuperca, Paul Lemarre, Laurent Pujo-Menjouet, Leon Tine. A reaction-diffusion model of spatial propagation of Aβ oligomers in early stage Alzheimer’s disease. Journal of Mathematical Biology, 2021, 82 (5), pp.1-25. ⟨10.1007/s00285-021-01593-3⟩. ⟨hal-03533359⟩
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Anna Zincenko, Sergei Petrovskii, Vitaly Volpert, Malay Banerjee. Turing instability in an economic–demographic dynamical system may lead to pattern formation on a geographical scale. Journal of the Royal Society Interface, 2021, 18, pp.1-17. ⟨10.1098/rsif.2021.0034⟩. ⟨hal-03398977⟩
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Kalyan Manna, Vitaly Volpert, Malay Banerjee. Pattern Formation in a Three-Species Cyclic Competition Model. Bulletin of Mathematical Biology, 2021, 83, pp.1-37. ⟨10.1007/s11538-021-00886-4⟩. ⟨hal-03381821⟩
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Nicolas Ratto, Anass Bouchnita, P Chelle, Martine Marion, Mikhail A. Panteleev, et al.. Patient-Specific Modelling of Blood Coagulation. Bulletin of Mathematical Biology, 2021, 83, pp.1-31. ⟨10.1007/s11538-021-00890-8⟩. ⟨hal-03386476⟩
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Sebastian Aniţa, Malay Banerjee, Samiran Ghosh, Vitaly Volpert. Vaccination in a two-group epidemic model. Applied Mathematics Letters, 2021, 119, pp.1-7. ⟨10.1016/j.aml.2021.107197⟩. ⟨hal-03379104⟩
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Vitaly Volpert, Vitali Vougalter. Method of Monotone Solutions for Reaction-Diffusion Equations. Journal of Mathematical Sciences, 2021, 253, pp.660 – 675. ⟨10.1007/s10958-021-05260-2⟩. ⟨hal-03398980⟩
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Malay Banerjee, Sergei V Petrovskii, Vitaly Volpert. Nonlocal Reaction–Diffusion Models of Heterogeneous Wealth Distribution. Mathematics , 2021, 9 (4), pp.1-18. ⟨10.3390/math9040351⟩. ⟨hal-03404817⟩
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Elena Merino Tejero, Danial Lashgari, Rodrigo García-Valiente, Xuefeng Gao, Fabien Crauste, et al.. Multiscale Modeling of Germinal Center Recapitulates the Temporal Transition From Memory B Cells to Plasma Cells Differentiation as Regulated by Antigen Affinity-Based Tfh Cell Help. Frontiers in Immunology, 2021, 11, ⟨10.3389/fimmu.2020.620716⟩. ⟨hal-03153711⟩
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Nikolai Bessonov, Gennady Bocharov, Andreas Meyerhans, Vladimir Popov, Vitaly Volpert. Existence and Dynamics of Strains in a Nonlocal Reaction-Diffusion Model of Viral Evolution. SIAM Journal on Applied Mathematics, 2021, 81, pp.107-128. ⟨10.1137/19m1282234⟩. ⟨hal-03409170⟩
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Chang Yang, Léon Matar Tine. Analysis and Numerical Simulations of a Reaction-Diffusion Model with Fixed Active Bodies. SIAM Journal on Applied Mathematics, 2021, 81 (4), pp.1339-1360. ⟨10.1137/20M1343385⟩. ⟨hal-03534435⟩
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Vitaly Volpert, Malay Banerjee, Swarnali Sharma. Epidemic progression and vaccination in a heterogeneous population. Application to the Covid-19 epidemic. Ecological Complexity, 2021, 47, pp.1-28. ⟨10.1016/j.ecocom.2021.100940⟩. ⟨hal-03391028⟩
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Valeriia N. Kaneva, Joanne L. Dunster, Vitaly A Volpert, Fazoil Ataullahanov, Mikhail A. Panteleev, et al.. Modeling Thrombus Shell: Linking Adhesion Receptor Properties and Macroscopic Dynamics. Biophysical Journal, 2021, 120 (2), pp.334-351. ⟨10.1016/j.bpj.2020.10.049⟩. ⟨hal-04134271⟩
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Mouhamadou Samsidy Goudiaby, Ababacar Diagne, Léon Matar Tine. Longtime behavior of a second order finite element scheme simulating the kinematic effects in liquid crystal dynamics. Communications on Pure and Applied Analysis, 2021, 20 (10), pp.1-16. ⟨10.3934/cpaa.2021116⟩. ⟨hal-03534380⟩
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Book sections

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Vincent Calvez, Mete Demircigil, Roxana Sublet. Mathematical modeling of cell collective motion triggered by self-generated gradients. Active Particles, Volume 3, 2021, 978-3-030-93302-9. ⟨10.1007/978-3-030-93302-9_3⟩. ⟨hal-03342200⟩
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Mostafa Adimy, Khalil Ezzinbi, Catherine Marquet. Global Attractor in Alpha-Norm for Some Partial Functional Differential Equations of Neutral and Retarded Type. Studies in Evolution Equations and Related Topics, Springer International Publishing, pp.33-49, 2021, STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health, ⟨10.1007/978-3-030-77704-3_3⟩. ⟨hal-03518620⟩
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Reports

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Kyriaki Dariva, Pedro Jaramillo. Reconstruction of trajectories-Challenge AMIES. [Research Report] Univ Lyon, Université Claude-Bernard Lyon 1; Université de bordeaux. 2021, pp.1-15. ⟨hal-03364121⟩
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Romain Gauchon, Nicolas Ponthus, Catherine Pothier, Christophe Rigotti, Vitaly Volpert, et al.. Lessons learnt from the use of compartmental models over the COVID-19 induced lockdown in France. [Research Report] Université Lyon 1; Ecole Centrale de Lyon; INSA Lyon. 2021, p. 39. ⟨hal-03341704⟩
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Theses

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Alexey Koshkin. Studying a stochastic gene regulatory network driving the germinal center B cell differentiation. Bioinformatics [q-bio.QM]. Université de Lyon, 2021. English. ⟨NNT : 2021LYSEN083⟩. ⟨tel-03552186v2⟩
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Paul Lemarre. Prions come in all shapes and sizes – Mathematical modeling of protein self-aggregation and conversion. Analysis of PDEs [math.AP]. Institut Camille Jordan, Université Claude Bernard Lyon 1, France, 2021. English. ⟨NNT : ⟩. ⟨tel-03537876⟩
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Preprints, Working Papers, …

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Aquilina Al Khoury, Samuel Bernard, Jonathan Rouzaud-Cornabas. Accuracy of Mixed Precision Computation in Large Coupled Biological Systems. 2021. ⟨hal-03249828⟩
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2020

Journal articles

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Nayana Mukherjee, Vitaly Volpert. Bifurcation scenario of Turing patterns in prey-predator model with nonlocal consumption in the prey dynamics. Communications in Nonlinear Science and Numerical Simulation, 2020, 96, pp.1-11. ⟨10.1016/j.cnsns.2020.105677⟩. ⟨hal-03386477⟩
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Vitali Vougalter, Vitaly Volpert. Existence of solutions for some non‐Fredholm integro‐differential equations with the bi‐Laplacian. Mathematical Methods in the Applied Sciences, 2020, ⟨10.1002/mma.6721⟩. ⟨hal-03029315⟩
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Anne Beuter, Anne Balossier, François Vassal, Simone Hemm, Vitaly Volpert. Cortical stimulation in aphasia following ischemic stroke: toward model-guided electrical neuromodulation. Biological Cybernetics (Modeling), 2020, ⟨10.1007/s00422-020-00818-w⟩. ⟨hal-03019110⟩
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S Budzinskiy, A Beuter, Vitaly Volpert. Nonlinear analysis of periodic waves in a neural field model. Chaos: An Interdisciplinary Journal of Nonlinear Science, 2020, ⟨10.1063/5.0012010⟩. ⟨hal-03019102⟩
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Jairo Gomes da Silva, Rafael Martins de Morais, Izabel Cristina Rodrigues da Silva, Mostafa Adimy, Paulo Fernando de Arruda Mancera. A Mathematical model for treatment of papillary thyroid cancer using the allee effect. Journal of Biological Systems, 2020, 28 (03), pp.701-718. ⟨10.1142/S0218339020500138⟩. ⟨hal-03167508⟩
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Charles Rocabert, Guillaume Beslon, Carole Knibbe, Samuel Bernard. Phenotypic noise and the cost of complexity. Evolution – International Journal of Organic Evolution, 2020, ⟨10.1111/evo.14083⟩. ⟨hal-02920356⟩
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Tim Squire, A. Ryan, Samuel Bernard. Radioprotective effects of induced astronaut torpor and advanced propulsion systems during deep space travel. Life Sciences in Space Research, 2020, 26, pp.105-113. ⟨10.1016/j.lssr.2020.05.005⟩. ⟨hal-02868066⟩
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M Banerjee, Vitaly Volpert. Stochastic intracellular regulation can remove oscillations in a model of tissue growth. Mathematical Medicine and Biology, 2020, ⟨10.1093/imammb/dqaa009⟩. ⟨hal-03029320⟩
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Anass Bouchnita, Kirill Terekhov, Patrice Nony, Yuri Vassilevski, Vitaly Volpert. A mathematical model to quantify the effects of platelet count, shear rate, and injury size on the initiation of blood coagulation under venous flow conditions. PLoS ONE, 2020, 15 (7), pp.e0235392. ⟨10.1371/journal.pone.0235392⟩. ⟨hal-03027325⟩
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Nikolai Bessonov, Anne Beuter, Sergei Trofimchuk, Vitaly Volpert. Dynamics of Periodic Waves in a Neural Field Model. Mathematics , 2020, 8 (7), pp.1-17. ⟨10.3390/math8071076⟩. ⟨hal-03027337⟩
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Paul Lemarre, Laurent Pujo-Menjouet, Suzanne S Sindi. A unifying model for the propagation of prion proteins in yeast brings insight into the [PSI+] prion. PLoS Computational Biology, 2020, 16 (5), pp.e1007647. ⟨10.1371/journal.pcbi.1007647⟩. ⟨hal-02732998⟩
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Karam Allali, Youssef Joundy, Ahmed Taik, Vitaly Volpert. Dynamics of Convective Thermal Explosion in Porous Media. International journal of bifurcation and chaos in applied sciences and engineering , 2020, 30 (06), pp.2050081. ⟨10.1142/S0218127420500819⟩. ⟨hal-03029317⟩
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Vitaly Volpert. Existence of Reaction–Diffusion Waves in a Model of Immune Response. Mediterranean Journal of Mathematics, 2020, 17 (47), ⟨10.1007/s00009-020-1490-z⟩. ⟨hal-03027289⟩
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Mostafa Adimy, Paulo Mancera, Diego S Rodrigues, Fernando L P Santos, Cláudia P Ferreira. Maternal Passive Immunity and Dengue Hemorrhagic Fever in Infants. Bulletin of Mathematical Biology, 2020, 82 (2), ⟨10.1007/s11538-020-00699-x⟩. ⟨hal-03167544⟩
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Jaouad Danane, Karam Allali, Leon Tine, Vitaly Volpert. Nonlinear Spatiotemporal Viral Infection Model with CTL Immunity: Mathematical Analysis. Mathematics , 2020, 8 (1), pp.1-13. ⟨10.3390/math8010052⟩. ⟨hal-03029312⟩
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Kalyan Manna, Vitaly Volpert, Malay Banerjee. Dynamics of a Diffusive Two-Prey-One-Predator Model with Nonlocal Intra-Specific Competition for Both the Prey Species. Mathematics , 2020, 8 (1), pp.1-28. ⟨10.3390/math8010101⟩. ⟨hal-03027297⟩
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Nikolai Bessonov, Gennady Bocharov, Andreas Meyerhans, Vladimir Popov, Vitaly Volpert. Nonlocal Reaction–Diffusion Model of Viral Evolution: Emergence of Virus Strains. Mathematics , 2020, 8 (1), pp.1-20. ⟨10.3390/math8010117⟩. ⟨hal-03029316⟩
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Anass Bouchnita, Vitaly Volpert, Mark Koury, Andreas Hellander. A multiscale model to design therapeutic strategies that overcome drug resistance to tyrosine kinase inhibitors in multiple myeloma. Mathematical Biosciences, 2020, 319, pp.1-12. ⟨10.1016/j.mbs.2019.108293⟩. ⟨hal-03027293⟩
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Sergei Trofimchuk, Vitaly A Volpert. Traveling waves in delayed reaction-diffusion equations in biology. Mathematical Biosciences and Engineering, 2020, 17 (6), pp.6487-6514. ⟨10.3934/mbe.2020339⟩. ⟨hal-04135098⟩
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Latifa Ait Mahiout, Grigory Panasenko, Vitaly A Volpert. Homogenization of the diffusion equation with a singular potential for a model of a biological cell network. Zeitschrift für Angewandte Mathematik und Physik, 2020, 71 (6), pp.181. ⟨10.1007/s00033-020-01401-w⟩. ⟨hal-04135090⟩
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Swarnali Sharma, Vitaly A Volpert, Malay Banerjee. Extended SEIQR type model for COVID-19 epidemic and data analysis. Mathematical Biosciences and Engineering, 2020, 17 (6), pp.7562-7604. ⟨10.3934/mbe.2020386⟩. ⟨hal-04135095⟩
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Malay Banerjee, Alexey Tokarev, Vitaly A Volpert. Immuno-epidemiological model of two-stage epidemic growth. Mathematical Modelling of Natural Phenomena, 2020, 15, pp.2020012. ⟨10.1051/mmnp/2020012⟩. ⟨hal-04135128⟩
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Mostafa Adimy, Abdennasser Chekroun, Claudia Pio Ferreira. Global dynamics of a differential-difference system: a case of Kermack-McKendrick SIR model with age-structured protection phase. Mathematical Biosciences and Engineering, 2020, 17 (2), pp.1329-1354. ⟨10.3934/mbe.2020067⟩. ⟨hal-02431660⟩
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A.S. S Benedito, C.P. P Ferreira, Mostafa Adimy. Modeling the dynamics of Wolbachia -infected and uninfected A edes aegypti populations by delay differential equations. Mathematical Modelling of Natural Phenomena, 2020, 15, pp.1-26. ⟨10.1051/mmnp/2020041⟩. ⟨hal-03167481⟩
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Antonella Lupica, Piero Manfredi, Vitaly A Volpert, Annunziata Palumbo, Alberto d’Onofrio. Spatio-temporal games of voluntary vaccination in the absence of the infection: The interplay of local versus non-local information about vaccine adverse events. Mathematical Biosciences and Engineering, 2020, 17 (2), pp.1090-1131. ⟨10.3934/mbe.2020058⟩. ⟨hal-04135131⟩
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Loïs Boullu, Laurent Pujo-Menjouet, Jacques Bélair. Stability analysis of an equation with two delays and application to the production of platelets. Discrete and Continuous Dynamical Systems – Series S, 2020, 13 (11), pp.3005-3027. ⟨10.3934/dcdss.2020131⟩. ⟨hal-02109546⟩
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Vitaly Volpert, Malay Banerjee, Alberto D’onofrio, Tomasz Lipniacki, Sergei Petrovskii, et al.. Coronavirus – Scientific insights and societal aspects. Mathematical Modelling of Natural Phenomena, 2020, 15, pp.E2. ⟨10.1051/mmnp/2020010⟩. ⟨hal-02904004⟩
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Vincent Calvez, Thomas Lepoutre, Nicolas Meunier, Nicolas Muller. Non-linear analysis of a model for yeast cell communication. ESAIM: Mathematical Modelling and Numerical Analysis, 2020, 54 (2), pp.619 – 648. ⟨10.1051/m2an/2019065⟩. ⟨hal-02372511⟩
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Tarik Mohammed Touaoula, Mohammed Nor Frioui, Nikolay Bessonov, Vitaly Volpert. Dynamics of solutions of a reaction-diffusion equation with delayed inhibition. Discrete and Continuous Dynamical Systems – Series S, 2020, 13 (9), pp.2425-2442. ⟨10.3934/dcdss.2020193⟩. ⟨hal-03027194⟩
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Latifa Ait Mahiout, Grigory Panasenko, Vitaly A Volpert. Partial homogenization of the diffusion equation with a dirac-like potential. International Journal for Multiscale Computational Engineering, 2020, 18 (5), pp.507-518. ⟨10.1615/IntJMultCompEng.2020035521⟩. ⟨hal-04135125⟩
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Nicolas Ratto, Alexei Tokarev, P. Chelle, Brigitte Poncet Tardy-Poncet, Vitaly A Volpert. Clustering of Thrombin Generation Test Data Using a Reduced Mathematical Model of Blood Coagulation. Acta Biotheoretica, 2020, 68 (1), pp.21-43. ⟨10.1007/s10441-019-09372-w⟩. ⟨hal-04135115⟩
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Manaf Ahmed, Véronique Maume-Deschamps, Pierre Ribereau, Céline Vial. Spatial Risk Measure for Max-Stable and Max-Mixture Processes. Stochastics: An International Journal of Probability and Stochastic Processes, 2020, 92 (7), pp.1005-1020. ⟨10.1080/17442508.2019.1687703⟩. ⟨hal-01546570v2⟩
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Malay Banerjee, Nayana Mukherjee, Vitaly Volpert. Prey-predator model with nonlocal and global consumption in the prey dynamics. Discrete and Continuous Dynamical Systems – Series S, 2020, 13 (8), pp.2109-2120. ⟨10.3934/dcdss.2020180⟩. ⟨hal-03027313⟩
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Swadesh Pal, Malay Banerjee, Vitaly Volpert. Spatio-temporal Bazykin’s model with space-time nonlocality. Mathematical Biosciences and Engineering, 2020, 17 (5), pp.4801-4824. ⟨10.3934/mbe.2020262⟩. ⟨hal-03029319⟩
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Sergei Trofimchuk, Vitaly A Volpert. Existence of bistable waves for a nonlocal and nonmonotone reaction-diffusion equation. Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2020, 150 (2), pp.721-739. ⟨10.1017/prm.2018.164⟩. ⟨hal-04135113⟩
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Vitaly Volpert. Mathematical Modelling in the era of coronavirus (Six month in a new reality). Mathematical Modelling of Natural Phenomena, 2020, 15, pp.E3. ⟨10.1051/mmnp/2020027⟩. ⟨hal-02898842⟩
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https://hal.science/hal-02898842/file/mmnp200027s.pdf BibTex
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Vitaly Volpert, Malay Banerjee, Sergei Petrovskii. On a quarantine model of coronavirus infection and data analysis. Mathematical Modelling of Natural Phenomena, 2020, 15, pp.24. ⟨10.1051/mmnp/2020006⟩. ⟨hal-02904003⟩
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Nikolai Bessonov, Gennady Bocharov, Cristina Leon, Vladimir Popov, Vitaly Volpert. Genotype-dependent virus distribution and competition of virus strains. Mathematics and Mechanics of Complex Systems, 2020, 8 (2), pp.101-126. ⟨10.2140/memocs.2020.8.101⟩. ⟨hal-03027307⟩
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Vitaly V Ganusov, Vitaly Volpert, Burkhard Ludewig, Andreas Meyerhans. Editorial: Mathematical Modeling of the Immune System in Homeostasis, Infection and Disease. Frontiers in Immunology, 2020, pp.1-3. ⟨10.3389/fimmu.2019.02944⟩. ⟨hal-03019262⟩
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Reports

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Stéphane Derrode, Romain Gauchon, Nicolas Ponthus, Christophe Rigotti, Catherine Pothier, et al.. Piecewise estimation of R0 by a simple SEIR model. Application to COVID-19 in French regions and departments until June 30, 2020. [Research Report] LIRIS UMR CNRS 5205; Ecole centrale de lyon; INSA LYON; Université Lyon 1 – Claude Bernard. 2020. ⟨hal-02910202v2⟩
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Preprints, Working Papers, …

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Paul Lemarre, Suzanne S Sindi, Laurent Pujo-Menjouet. A unifying model for the propagation of prion proteins in yeast brings insight into the [PSI+] prion. 2020. ⟨hal-02501966⟩
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2019

Journal articles

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Anissa Guillemin, Ronan Duchesne, Fabien Crauste, Sandrine Gonin-Giraud, Olivier Gandrillon. Drugs modulating stochastic gene expression affect the erythroid differentiation process. PLoS ONE, 2019, 14 (11), pp.1-19. ⟨10.1371/journal.pone.0225166⟩. ⟨hal-02375801⟩
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Laurent Pujo-Menjouet. Est-ce par hasard s’il a le cœur qui s’égare. Pour la science, 2019. ⟨hal-02414752⟩
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Mostafa Adimy, Abdennasser Chekroun, Toshikazu Kuniya. Coupled reaction-diffusion and difference system of cell-cycle dynamics for hematopoiesis process with Dirichlet boundary conditions. Australian Journal of Mathematical Analysis and Applications, 2019, 479 (1), pp.1030-1068. ⟨10.1016/j.jmaa.2019.06.066⟩. ⟨hal-02448738⟩
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Jeff E. Mold, Pedro Réu, Axel Olin, Samuel Bernard, Jakob Michaelsson, et al.. Cell generation dynamics underlying naïve T cell homeostasis in adult humans. PLoS Biology, 2019, 17 (10), pp.e3000383. ⟨10.1371/journal.pbio.3000383⟩. ⟨hal-02160888v2⟩
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Ionel Sorin Ciuperca, Matthieu Dumont, Abdelkader Lakmeche, Pauline Mazzocco, Laurent Pujo-Menjouet, et al.. Alzheimer’s disease and prion: An in vitro mathematical model. Discrete and Continuous Dynamical Systems – Series B, 2019, 24 (10), pp.5225-5260. ⟨10.3934/dcdsb.2019057⟩. ⟨hal-02414635⟩
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Angélique Richard, Elodie Vallin, Caroline Romestaing, Damien Roussel, Olivier Gandrillon, et al.. Erythroid differentiation displays a peak of energy consumption concomitant with glycolytic metabolism rearrangements. PLoS ONE, 2019, 14 (9), pp.e0221472. ⟨10.1371/journal.pone.0221472⟩. ⟨hal-02318812⟩
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P. Arner, Samuel Bernard, Lena Appelsved, Keng-Yeh Fu, Mehran Salehpour, et al.. Adipose lipid turnover and long-term changes in body weight. Nature Medicine, 2019, 25 (9), pp.1385-1389. ⟨10.1038/s41591-019-0565-5⟩. ⟨hal-02317491⟩
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Loïs Boullu, Laurent Pujo-Menjouet, Jianhong Wu. A model for megakaryopoiesis with state-dependent delay. SIAM Journal on Applied Mathematics, 2019, 79 (4), pp.1218-1243. ⟨10.1137/18M1201020⟩. ⟨hal-02123621⟩
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Sergei Trofimchuk, Vitaly Volpert. Global continuation of monotone waves for bistable delayed equations with unimodal nonlinearities. Nonlinearity, 2019, 32 (7), pp.2593-2632. ⟨10.1088/1361-6544/ab0e23⟩. ⟨hal-02363393⟩
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Ulysse Herbach. Stochastic Gene Expression with a Multistate Promoter: Breaking Down Exact Distributions. SIAM Journal on Applied Mathematics, 2019, 79 (3), pp.1007-1029. ⟨10.1137/18M1181006⟩. ⟨hal-02159699⟩
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Nikolai Bessonov, Anne Beuter, Sergei Trofimchuk, Vitaly Volpert. Cortical waves and post‐stroke brain stimulation. Mathematical Methods in the Applied Sciences, 2019, 42 (11), pp.3912-3928. ⟨10.1002/mma.5620⟩. ⟨hal-02363412⟩
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Dmitry Grebennikov, Anass Bouchnita, Vitaly Volpert, Nikolay Bessonov, Andreas Meyerhans, et al.. Spatial Lymphocyte Dynamics in Lymph Nodes Predicts the Cytotoxic T Cell Frequency Needed for HIV Infection Control. Frontiers in Immunology, 2019, 10, pp.1-15. ⟨10.3389/fimmu.2019.01213⟩. ⟨hal-02363399⟩
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Ronan Duchesne, Anissa Guillemin, Fabien Crauste, Olivier Gandrillon. Calibration, Selection and Identifiability Analysis of a Mathematical Model of the in vitro Erythropoiesis in Normal and Perturbed Contexts. In Silico Biology, 2019, 13 (1-2), pp.55-69. ⟨10.3233/ISB-190471⟩. ⟨hal-02309925⟩
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Mohamed Amine Benchaib, Anass Bouchnita, Vitaly Volpert, Abdelkader Makhoute. Mathematical Modeling Reveals That the Administration of EGF Can Promote the Elimination of Lymph Node Metastases by PD-1/PD-L1 Blockade. Frontiers in Bioengineering and Biotechnology, 2019, 7, pp.1-18. ⟨10.3389/fbioe.2019.00104⟩. ⟨hal-02363404⟩
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Arnaud Bonnaffoux, Ulysse Herbach, Angélique Richard, Anissa Guillemin, Sandrine Gonin-Giraud, et al.. WASABI: a dynamic iterative framework for gene regulatory network inference. BMC Bioinformatics, 2019, 20 (1), pp.1-19. ⟨10.1186/s12859-019-2798-1⟩. ⟨hal-02159694⟩
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Anass Bouchnita, Vitaly Volpert. A multiscale model of platelet-fibrin thrombus growth in the flow. Computers and Fluids, 2019, 184, pp.10-20. ⟨10.1016/j.compfluid.2019.03.021⟩. ⟨hal-02363406⟩
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Moitri Sen, Vitaly Volpert, Vitali Vougalter. Existence of waves for a reaction–diffusion–dispersion system. Nonlinear Analysis: Theory, Methods and Applications, 2019, 180, pp.52-66. ⟨10.1016/j.na.2018.09.011⟩. ⟨hal-01941461⟩
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Simon Girel, Christophe Arpin, Jacqueline Marvel, Olivier Gandrillon, Fabien Crauste. Model-based assessment of the Role of Uneven Partitioning of Molecular Content on Heterogeneity and Regulation of Differentiation in CD8 T-cell Immune Responses. Frontiers in Immunology, In press, pp.1-41. ⟨10.3389/fimmu.2019.00230⟩. ⟨hal-02008705⟩
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Nikolay Bessonov, Anne Beuter, Sergei Trofimchuk, Vitaly Volpert. Estimate of the travelling wave speed for an integro-differential equation. Applied Mathematics Letters, 2019, 88, pp.103-110. ⟨10.1016/j.aml.2018.07.037⟩. ⟨hal-01941455⟩
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Paul Lemarre, Laurent Pujo-Menjouet, Suzanne S Sindi. Generalizing a mathematical model of prion aggregation allows strain coexistence and co-stability by including a novel misfolded species. Journal of Mathematical Biology, 2019, 78, pp.465-495. ⟨10.1007/s00285-018-1280-4⟩. ⟨hal-01858724⟩
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Thomas Lepoutre, Isabel Victoria Fernandez, Fanny Chevalier, Marie Lenormand, Nicolas Guérin. Les frontières psychanalytiques du moi : Freud, Klein, Winnicott, Lacan. L’Évolution Psychiatrique, 2019, 84 (1), pp.69-101. ⟨10.1016/j.evopsy.2018.10.008⟩. ⟨hal-02468443⟩
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Nicolas Ratto, Martine Marion, Vitaly Volpert. Existence of Waves for a Bistable Reaction–Diffusion System with Delay. Journal of Dynamics and Differential Equations, 2019, 16 (5), pp.4196-4212. ⟨10.1007/s10884-019-09751-4⟩. ⟨hal-02363403⟩
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Mohammed Helal, Angélique Igel-Egalon, Abdelkader Lakmeche, Pauline Mazzocco, Angélique Perrillat-Mercerot, et al.. Stability analysis of a steady state of a model describing Alzheimer’s disease and interactions with prion proteins. Journal of Mathematical Biology, 2019, 78 (1-2), pp.57-81. ⟨10.1007/s00285-018-1267-1⟩. ⟨hal-01946610⟩
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Nicolas Ratto, Martine Marion, Vitaly Volpert. Existence of pulses for a reaction-diffusion system of blood coagulation in flow. Mathematical Biosciences and Engineering, 2019, 16 (5), pp.4196-4212. ⟨10.3934/mbe.2019209⟩. ⟨hal-02084120⟩
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Manaf Ahmed, Véronique Maume-Deschamps, Pierre Ribereau, Céline Vial. Spatial risk measure for Gaussian processes. Annales de l’ISUP, 2019, 63 (1), pp.3-21. ⟨hal-01421078v2⟩
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Martine Marion, Vitaly Volpert. Existence of Pulses for the System of Competition of Species. Journal of Dynamics and Differential Equations, 2019, 31, pp.1653-1670. ⟨10.1007/s10884-017-9582-6⟩. ⟨hal-01573773⟩
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Maggie Yeung, Mehdi Djelloul, Embla Steiner, Samuel Bernard, Mehran Salehpour, et al.. Dynamics of oligodendrocyte generation in multiple sclerosis. Nature, 2019, 566, pp.538-542. ⟨10.1038/s41586-018-0842-3⟩. ⟨hal-02002274⟩
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Loïs Boullu, Mostafa Adimy, Fabien Crauste, Laurent Pujo-Menjouet. Oscillations and asymptotic convergence for a delay differential equation modeling platelet production. Discrete and Continuous Dynamical Systems – Series B, 2019, 24 (6), pp.2417-2442. ⟨10.3934/dcdsb.2018259⟩. ⟨hal-01835435v2⟩
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A.V. Panfilov, H. Dierckx, Vitaly A Volpert. (INVITED) Reaction–diffusion waves in cardiovascular diseases. Physica D: Nonlinear Phenomena, 2019, 399, pp.1-34. ⟨10.1016/j.physd.2019.04.001⟩. ⟨hal-04135137⟩
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Thomas Lepoutre. Improved duality estimates: time discrete case and applications to a class of cross-diffusion systems. Communications in Mathematical Sciences, 2019, 17 (2), pp.339 – 351. ⟨10.4310/CMS.2019.v17.n2.a2⟩. ⟨hal-01943576⟩
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Conference papers

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Cristina Leon, Vladimir Popov, Vitaly A Volpert. Viruses competition in the genotype space. International Conference “Mathematical Modelling in Biomedicine” 2019, Sep 2019, Moscow, Russia. pp.02002, ⟨10.1051/itmconf/20203102002⟩. ⟨hal-04139592⟩
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Nicolas Ratto, Martine Marion, Vitaly A Volpert. Wave propagation for a reduced model of blood coagulation. International Conference “Mathematical Modelling in Biomedicine” 2019, Sep 2019, Moscow, Russia. pp.01005, ⟨10.1051/itmconf/20203101005⟩. ⟨hal-04139584⟩
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Book sections

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Laurent Pujo-Menjouet. Passer notre amour à la machine. Futures of Love, 2019, 2956302833. ⟨hal-02414758⟩
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Katherine Grzesik, Kevin Eng, Fabien Crauste, Sebastiano Battaglia. In Silico Methods for Studying T Cell Biology. Int. Rev. Cell. Mol. Biol. 342, Elsevier, pp.265-304, 2019, ⟨10.1016/bs.ircmb.2018.07.005⟩. ⟨hal-02237891⟩
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Mathieu Caléro, Ionel Sorin Ciuperca, Laurent Pujo-Menjouet, Léon Matar Tine. Alzheimer Disease: Convergence Result from a Discrete Model Towards a Continuous One. Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics, Springer, pp.397-431, 2019, 978-3-030-23432-4. ⟨10.1007/978-3-030-23433-1_25⟩. ⟨hal-02414726⟩
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Books

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Laurent Pujo-Menjouet. Le jeu de l’amour sans le hasard Mathématiques du couple. Des Equateurs, pp.1-248, 2019, 9782849905685. ⟨hal-02414777⟩
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Poster communications

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Charles Rocabert, Guillaume Beslon, Carole Knibbe, Samuel Bernard. Phenotypic Noise and the Cost of Complexity. EvoLyon 2019, Nov 2019, Lyon, France. ⟨hal-02402443⟩
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2018

Journal articles

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Vitali Vougalter, Vitaly Volpert. Solvability of Some Integro-Differential Equations with Anomalous Diffusion in Two Dimensions. Journal of Mathematical Sciences, 2018, 235 (3), pp.243-255. ⟨10.1007/978-3-319-47512-7_9⟩. ⟨hal-01941457⟩
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Nikolai Bessonov, Natalia Reinberg, Malay Banerjee, Vitaly Volpert. The origin of species by means of mathematical modelling. Acta Biotheoretica, 2018, 66 (4), pp.333-344. ⟨10.1007/s10441-018-9328-9⟩. ⟨hal-01941452⟩
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Loic Barbarroux, Philippe Michel, Mostafa Adimy, Fabien Crauste. A multiscale model of the CD8 T cell immune response structured by intracellular content. Discrete and Continuous Dynamical Systems – Series B, 2018, 23 (9), pp.3969-4002. ⟨10.3934/dcdsb.2018120⟩. ⟨hal-01969237⟩
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Vladimir A. Belyaev, Joanne L. Dunster, Jon M. Gibbins, Mikhail A. Panteleev, Vitaly Volpert. Modeling thrombosis in silico: Frontiers, challenges, unresolved problems and milestones. Physics of Life Reviews, 2018, 26-27, pp.57-95. ⟨10.1016/j.plrev.2018.02.005⟩. ⟨hal-01941469⟩
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Gennady Bocharov, Andreas Meyerhans, Nikolay Bessonov, Sergei Trofimchuk, Vitaly Volpert. Interplay between reaction and diffusion processes in governing the dynamics of virus infections. Journal of Theoretical Biology, 2018, 457, pp.221-236. ⟨10.1016/j.jtbi.2018.08.036⟩. ⟨hal-01941458⟩
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Anne Beuter, Anne Balossier, Sergei Trofimchuk, Vitaly Volpert. Modeling of post-stroke stimulation of cortical tissue. Mathematical Biosciences, 2018, 305, pp.146-159. ⟨10.1016/j.mbs.2018.08.014⟩. ⟨hal-01941460⟩
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Léon Matar Tine, Babacar Lèye. Analysis and numerical simulation of a polymerization model with aggregation and Ostwald ripening for the growth phenomenon. Acta Applicandae Mathematicae, 2018, pp.1-28. ⟨10.1007/s10440-018-0222-x⟩. ⟨hal-01933553⟩
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Vitali Vougalter, Vitaly Volpert. On the Existence in the Sense of Sequences of Stationary Solutions for Some Systems of Non-Fredholm Integro-differential Equations. Mediterranean Journal of Mathematics, 2018, 15 (205), ⟨10.1007/s00009-018-1248-z⟩. ⟨hal-01941463⟩
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Tatiana Galochkina, Martine Marion, Vitaly Volpert. Initiation of reaction–diffusion waves of blood coagulation. Physica D: Nonlinear Phenomena, 2018, 376-377, pp.160-170. ⟨10.1016/j.physd.2017.11.006⟩. ⟨hal-01941465⟩
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Guillaume Vogin, Thierry Bastogne, Larry Bodgi, Julien Gillet-Daubin, Aurélien Canet, et al.. The pATM Immunofluorescence assay: a high-performance radiosensitivity assay to predict post radiotherapy overreactions.. International Journal of Radiation Oncology, Biology, Physics, 2018, 101 (3), pp.690-693. ⟨10.1016/j.ijrobp.2018.03.047⟩. ⟨hal-01757771⟩
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Simon Girel, Fabien Crauste. Existence and stability of periodic solutions of an impulsive differential equation and application to CD8 T-cell differentiation. Journal of Mathematical Biology, 2018, 76 (7), pp.1765-1795. ⟨10.1007/s00285-018-1220-3⟩. ⟨hal-01721728⟩
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Oscar Angulo, Fabien Crauste, Juan Carlos López-Marcos. Numerical integration of an erythropoiesis model with explicit growth factor dynamics. Journal of Computational and Applied Mathematics, 2018, 330, pp.770 – 782. ⟨10.1016/j.cam.2017.01.033⟩. ⟨hal-01646786⟩
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Oscar Angulo, Olivier Gandrillon, Fabien Crauste. Investigating the role of the experimental protocol in phenylhydrazine-induced anemia on mice recovery. Journal of Theoretical Biology, 2018, 437, pp.286 – 298. ⟨10.1016/j.jtbi.2017.10.031⟩. ⟨hal-01646792⟩
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Hagen B Huttner, Olaf Bergmann, Mehran Salehpour, Raouf El Cheikh, Makoto Nakamura, et al.. Meningioma growth dynamics assessed by radiocarbon retrospective birth dating. EBioMedicine, 2018, 27, pp.176-181. ⟨10.1016/j.ebiom.2017.12.020⟩. ⟨hal-01671339⟩
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Sergei Trofimchuk, Vitaly Volpert. Traveling Waves for a Bistable Reaction-Diffusion Equation with Delay. SIAM Journal on Mathematical Analysis, 2018, 50 (1), pp.1175-1199. ⟨10.1137/17M1115587⟩. ⟨hal-01941474⟩
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Abdennasser Chekroun, Laurent Pujo-Menjouet, Jean-Philippe Berteau. A Novel Multiscale Mathematical Model for Building Bone Substitute Materials for Children. Materials, 2018, 11 (6), pp.1-16. ⟨10.3390/ma11061045⟩. ⟨hal-02159058⟩
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Conference papers

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Martín Andrade-Restrepo, Paul Lemarre, Laurent Pujo-Menjouet, Leon Tine, Sorin Ionel Ciuperca. Modeling the spatial propagation of Aβ oligomers in alzheimer’s disease. CEMRACS 2018 – Numerical and mathematical modeling for biological and medical applications: deterministic, probabilistic and statistical descriptions, Jul 2018, Marseille, France. pp.1 – 10. ⟨hal-02414660⟩
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Books

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Gennady Bocharov, Vitaly Volpert, Burkhard Ludewig, Andreas Meyerhans. Mathematical Immunology of Virus Infections. Springer International Publishing, pp.XV, 245, 2018, 978-3-319-72316-7. ⟨10.1007/978-3-319-72317-4⟩. ⟨hal-01941475⟩
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Theses

ref_biblio
Simon Girel. Modélisation de la Réponse Immunitaire T-CD8 : Analyse Mathématique et Modèles Multiéchelles. Systèmes dynamiques [math.DS]. Université de Lyon, 2018. Français. ⟨NNT : ⟩. ⟨tel-01941850⟩
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Arnaud Bonnaffoux. Inférence de réseaux de régulation de gènes à partir de données dynamiques multi-échelles. Bio-Informatique, Biologie Systémique [q-bio.QM]. Université de Lyon, 2018. Français. ⟨NNT : ⟩. ⟨tel-01920262⟩
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Ulysse Herbach. Modélisation stochastique de l’expression des gènes et inférence de réseaux de régulation. Mathématiques [math]. Université de Lyon, 2018. Français. ⟨NNT : 2018LYSE1155⟩. ⟨tel-01930398⟩
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2017

Journal articles

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Ulysse Herbach, Arnaud Bonnaffoux, Thibault Espinasse, Olivier Gandrillon. Inferring gene regulatory networks from single-cell data: a mechanistic approach. BMC Systems Biology, 2017, 11 (1), pp.105. ⟨10.1186/s12918-017-0487-0⟩. ⟨hal-01646910⟩
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https://hal.science/hal-01646910/file/ArticleModel.pdf BibTex
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Sandrine Pereira, Larry Bodgi, Mirlande Duclos, Aurélien Canet, Mélanie L. Ferlazzo, et al.. Fast and binary assay for predicting radiosensitivity based on the nucleoshuttling of ATM protein: development, validation and performances. International Journal of Radiation Oncology, Biology, Physics, 2017, ⟨10.1016/j.ijrobp.2017.10.029⟩. ⟨hal-01647135⟩
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G Bocharov, A Meyerhans, N Bessonov, S Trofimchuk, Vitaly Volpert. Modelling the dynamics of virus infection and immune response in space and time. International Journal of Parallel, Emergent and Distributed Systems, 2017, ⟨10.1080/17445760.2017.1363203⟩. ⟨hal-01578907⟩
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Thomas Lepoutre, Ayman Moussa. Entropic structure and duality for multiple species cross-diffusion systems. Nonlinear Analysis: Theory, Methods and Applications, 2017, 159, ⟨10.1016/j.na.2017.02.008⟩. ⟨hal-01373172⟩
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Pedro Réu, Azadeh Khosravi, Samuel Bernard, Jeff E. Mold, Mehran Salehpour, et al.. The Lifespan and Turnover of Microglia in the Human Brain. Cell Reports, 2017, 20 (4), pp.779 – 784. ⟨10.1016/j.celrep.2017.07.004⟩. ⟨hal-01572438⟩
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Pauline Mazzocco, Samuel Bernard, Laurent Pujo-Menjouet. Estimates and impact of lymphocyte division parameters from CFSE data using mathematical modelling.. PLoS ONE, 2017, 12 (6), pp.e0179768. ⟨hal-01561667⟩
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Edouard Ollier, Pauline Mazzocco, Damien Ricard, Gentian Kaloshi, Ahmed Idbaih, et al.. Analysis of temozolomide resistance in low-grade gliomas using a mechanistic mathematical model. Fundamental & Clinical Pharmacology, 2017, 31 (3), pp.347-358. ⟨10.1111/fcp.12259⟩. ⟨hal-01623733⟩
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Kirsty L Spalding, Samuel Bernard, Erik Näslund, Mehran Salehpour, Göran Possnert, et al.. Impact of fat mass and distribution on lipid turnover in human adipose tissue. Nature Communications, 2017, 8, pp.15253. ⟨10.1038/ncomms15253⟩. ⟨hal-01561605⟩
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Fabien Crauste, Julien Mafille, Lilia Boucinha, Sophia Djebali, Olivier Gandrillon, et al.. Identification of Nascent Memory CD8 T Cells and Modeling of Their Ontogeny. Cell Systems, 2017, 4 (3), pp.306-317. ⟨10.1016/j.cels.2017.01.014⟩. ⟨hal-01409637⟩
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Chang Yang, Léon Matar Tine. A Hybrid Finite Volume Method for Advection Equations and Its Applications in Population Dynamics. Numerical Methods for Partial Differential Equations, 2017, 33 (4), pp.1114 – 1142. ⟨10.1002/num.22134⟩. ⟨hal-01646859⟩
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Vitaly Volpert, S Petrovskii, A Zincenko. Interaction of human migration and wealth distribution. Nonlinear Analysis: Hybrid Systems, 2017, 159, pp.408 – 423. ⟨10.1016/j.na.2017.02.024⟩. ⟨hal-01565519⟩
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Anass Bouchnita, T Galochkina, P Kurbatova, Patrice Nony, Vitaly Volpert. Conditions of microvessel occlusion for blood coagulation in flow. International Journal for Numerical Methods in Biomedical Engineering, 2017, CMBE15: SELECTED PAPERS FROM THE 4TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL & MATHEMATICAL BIOMEDICAL ENGINEERING 2015, ⟨10.1002/cnm.2850⟩. ⟨hal-01573775⟩
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Vitali Vougalter, Vitaly Volpert. Existence of stationary solutions for some systems of integro-differential equations with superdiffusion. Rocky Mountain Journal of Mathematics, 2017, 47 (3), pp.955-970. ⟨10.1216/RMJ-2017-47-3-955⟩. ⟨hal-01564763⟩
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Apollos Besse, Geoffrey D. Clapp, Samuel Bernard, Franck-Emmanuel Nicolini, Doron Levy, et al.. Stability Analysis of a Model of Interaction Between the Immune System and Cancer Cells in Chronic Myelogenous Leukemia. Bulletin of Mathematical Biology, 2017, pp.1-27. ⟨10.1007/s11538-017-0272-7⟩. ⟨hal-01539364⟩
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Apollos Besse, Thomas Lepoutre, Samuel Bernard. Long-term treatment effects in chronic myeloid leukemia. Journal of Mathematical Biology, 2017, pp.1-26. ⟨10.1007/s00285-017-1098-5⟩. ⟨hal-01447781⟩
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Tatiana Galochkina, Anass Bouchnita, Polina Kurbatova, Vitaly Volpert. Reaction-diffusion waves of blood coagulation. Mathematical Biosciences, 2017, 288, pp.130 – 139. ⟨10.1016/j.mbs.2017.03.008⟩. ⟨hal-01567320⟩
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Nathalie Eymard, Vitaly Volpert, Polina Kurbatova, Nikolai Bessonov, Kayode Ogungbenro, et al.. Mathematical model of T-cell lymphoblastic lymphoma: disease, treatment, cure or relapse of a virtual cohort of patients. Mathematical Medicine and Biology, 2017, ⟨10.1093/imammb/dqw019⟩. ⟨hal-01568372⟩
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Mostafa Adimy, Abdennasser Chekroun, Bogdan Kazmierczak. Traveling waves in a coupled reaction-diffusion and difference model of hematopoiesis. Journal of Differential Equations, 2017, 262, pp.4085 – 4128. ⟨10.1016/j.jde.2016.12.009⟩. ⟨hal-01573613⟩
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Mostafa Adimy, Abdennasser Chekroun, Toshikazu Kuniya. Delayed nonlocal reaction–diffusion model for hematopoietic stem cell dynamics with Dirichlet boundary conditions. Mathematical Modelling of Natural Phenomena, 2017, 12 (6), pp.1 – 22. ⟨10.1051/mmnp/2017078⟩. ⟨hal-01683636⟩
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Vitali Vougalter, Vitaly Volpert. Solvability in the sense of sequences for some non Fredholm operators related to the superdiffusion. Journal of Pseudo-Differential Operators and Applications, 2017, 160, pp.1-22. ⟨10.1007/s11868-017-0204-1⟩. ⟨hal-01573772⟩
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Anass Bouchnita, Fatima Ezzahra Belmaati, Rajae Aboulaich, M J K Koury, Vitaly A Volpert. A Hybrid Computation Model to Describe the Progression of Multiple Myeloma and Its Intra-Clonal Heterogeneity. Computation, 2017, 5 (1), pp.16. ⟨10.3390/computation5010016⟩. ⟨hal-01565940⟩
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Raouf El Cheikh, Samuel Bernard, Nader El Khatib. A multiscale modelling approach for the regulation of the cell cycle by the circadian clock. Journal of Theoretical Biology, 2017, 426, pp.117-125. ⟨10.1016/j.jtbi.2017.05.021⟩. ⟨hal-01561617⟩
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Anass Bouchnita, Gennady Bocharov, Andreas Meyerhans, Vitaly Volpert. Towards a Multiscale Model of Acute HIV Infection. Computation, 2017, 5 (1), pp.6. ⟨10.3390/computation5010006⟩. ⟨hal-01570577⟩
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Habilitation à diriger des recherches

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Samuel Bernard. Structured differential equations and multiscale approaches for human cell population dynamics. Dynamical Systems [math.DS]. Université Claude Bernard Lyon 1, 2017. ⟨tel-01572434v2⟩
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Thomas Lepoutre. Contributions en dynamique de populations. Equations aux dérivées partielles [math.AP]. Université Claude Bernard (Lyon 1), 2017. ⟨tel-01524261⟩
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https://inria.hal.science/tel-01524261/file/Habilitation_Lepoutre.pdf BibTex

Theses

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Tatiana Galochkina. Spatial structure of lipopolysaccharides and its role in blood coagulation. Mathematics [math]. Université Claude Bernard Lyon 1 – Institut Camille Jordan; Lomonosov Moscow State University, 2017. Russian. ⟨NNT : ⟩. ⟨tel-01674579⟩
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Apollos Besse. Modélisation mathématique de la leucémie myéloide chronique. Modélisation et simulation. Université de Lyon, 2017. Français. ⟨NNT : 2017LYSE1105⟩. ⟨tel-01561249v2⟩
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Loïc Barbarroux. Contributions à la modélisation multi-échelles de la réponse immunitaire T-CD8 : construction, analyse, simulation et calibration de modèles. Autre. Université de Lyon, 2017. Français. ⟨NNT : 2017LYSEC026⟩. ⟨tel-01569442v2⟩
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Preprints, Working Papers, …

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Thibault Bourgeron, Vincent Calvez, Jimmy Garnier, Thomas Lepoutre. Existence of recombination-selection equilibria for sexual populations. 2017. ⟨hal-01489695v2⟩
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2016

Journal articles

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Angélique Richard, Loïs Boullu, Ulysse Herbach, Arnaud Arnaud, Valérie Morin, et al.. Single-Cell-Based Analysis Highlights a Surge in Cell-to-Cell Molecular Variability Preceding Irreversible Commitment in a Differentiation Process. PLoS Biology, 2016, 14 (12), ⟨10.1371/journal.pbio.1002585⟩. ⟨hal-01934489⟩
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Anass Bouchnita, Alexandre Rocca, Eric Fanchon, Mark J. Koury, Jean-Marc Moulis, et al.. Multi-scale Modelling of Erythropoiesis and Hemoglobin Production. Journal of Inorganic and Organometallic Polymers and Materials, 2016, 26 (6), pp.1362 – 1379. ⟨10.1007/s10904-016-0437-0⟩. ⟨hal-01929703⟩
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Samuel Bernard. Moving the Boundaries of Granulopoiesis Modelling. Bulletin of Mathematical Biology, 2016, 78 (12), pp.2358 – 2363. ⟨10.1007/s11538-016-0215-8⟩. ⟨hal-01391393⟩
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Mostafa Adimy, Youssef Bourfia, My Lhassan Hbid, Catherine Marquet. Age-structured model of hematopoiesis dynamics with growth factor-dependent coefficients. Electronic Journal of Differential Equations, 2016, pp.140. ⟨hal-01344118⟩
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Mostafa Adimy, Abdennasser Chekroun, Tarik-Mohamed Touaoula. Global asymptotic stability for an age-structured model of hematopoietic stem cell dynamics. Applicable Analysis, 2016, pp.1 – 12. ⟨10.1080/00036811.2016.1139698⟩. ⟨hal-01396691⟩
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Romain Yvinec, Samuel Bernard, Erwan Hingant, Laurent Pujo-Menjouet. First passage times in homogeneous nucleation: Dependence on the total number of particles. Journal of Chemical Physics, 2016, 144 (3), pp.1-17. ⟨10.1063/1.4940033⟩. ⟨hal-01353266⟩
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Flavien Caraguel, Nikolai Bessonov, Jacques Demongeot, Danielle Dhouailly, Vitaly Volpert. Wound Healing and Scale Modelling in Zebrafish. Acta Biotheoretica, 2016, ⟨10.1007/s10441-016-9298-8⟩. ⟨hal-01395845⟩
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Gennady Bocharov, Anas Bouchnita, Jean Clairambault, Vitaly Volpert. Mathematics of Pharmacokinetics and Pharmacodynamics: Diversity of Topics, Models and Methods. Mathematical Modelling of Natural Phenomena, 2016. ⟨hal-01413795⟩
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Laurent Pujo-Menjouet. Blood Cell Dynamics: Half of a Century of Modelling. Mathematical Modelling of Natural Phenomena, 2016, 11, pp.92 – 115. ⟨10.1051/mmnp/201611106⟩. ⟨hal-01382783⟩
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Grigory Panasenko, Vitaly Volpert. Homogenization of a one-dimensional diffusion – discrete absorption equation with feedback. Applicable Analysis, 2016, 95, pp.1507 – 1516. ⟨10.1080/00036811.2016.1179288⟩. ⟨hal-01397565⟩
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Martine Marion, Vitaly Volpert. Existence of pulses for a monotone reaction-diffusion system. Pure and Applied Functional Analysis, 2016. ⟨hal-01396839⟩
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https://inria.hal.science/hal-01396839/file/pulse-sys12.pdf BibTex
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Vitali Vougalter, Vitaly Volpert. Existence of stationary solutions for some non-Fredholm integro-differential equations with superdiffusion. Journal of Pseudo-Differential Operators and Applications, 2016, ⟨10.1007/s11868-016-0173-9⟩. ⟨hal-01397555⟩
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Xuefeng Gao, Christophe Arpin, Jacqueline Marvel, Sotiris A. Prokopiou, Olivier Gandrillon, et al.. IL-2 sensitivity and exogenous IL-2 concentration gradient tune the productive contact duration of CD8+ T cell-APC: a multiscale modeling study. BMC Systems Biology, 2016, 10 (1), pp.77. ⟨10.1186/s12918-016-0323-y⟩. ⟨inserm-01354185⟩
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A Stéphanou, Vitaly Volpert. Hybrid Modelling in Biology: a Classification Review. Mathematical Modelling of Natural Phenomena, 2016, 11, pp.37 – 48. ⟨10.1051/mmnp/201611103⟩. ⟨hal-01397430⟩
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Hugues Berry, Thomas Lepoutre, Álvaro Mateos González. Quantitative convergence towards a self similar profile in an age-structured renewal equation for subdiffusion. Acta Applicandae Mathematicae, 2016, 145, pp.15-45. ⟨hal-01136667⟩
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Anass Bouchnita, Nathalie Eymard, Tamara K Moyo, Mark J Koury, Vitaly Volpert. Bone marrow infiltration by multiple myeloma causes anemia by reversible disruption of erythropoiesis. American Journal of Hematology, 2016, 91 (4), pp.371 – 378. ⟨10.1002/ajh.24291⟩. ⟨hal-01395624⟩
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Nikolay Bessonov, Adélia Sequeira, Sergey Simakov, Yuri Vassilevski, Vitaly Volpert. Methods of Blood Flow Modelling. Mathematical Modelling of Natural Phenomena, 2016, 11, pp.1 – 25. ⟨10.1051/mmnp/201611101⟩. ⟨hal-01397437⟩
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Larry Bodgi, Aurélien Canet, Laurent Pujo-Menjouet, Annick Lesne, Jean-Marc Victor, et al.. Mathematical models of radiation action on living cells: From the target theory to the modern approaches. A historical and critical review. Journal of Theoretical Biology, 2016, 394, pp.93 – 101. ⟨10.1016/j.jtbi.2016.01.018⟩. ⟨hal-01382777⟩
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Conference papers

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Romain Yvinec, Samuel Bernard, Tom Chou, Julien Deschamps, Maria R. d’Orsogna, et al.. Nucleation time in stochastic Becker-Doring model. 11. AIMS Conference on Dynamical Systems, Differential Equations and Applications, American Institute of Mathematical Science (AIMS). USA., Jul 2016, Orlando, United States. 45 diapositives. ⟨hal-02797058⟩
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Romain Yvinec, Samuel Bernard, Tom Chou, Julien Deschamps, Maria R. d’Orsogna, et al.. Stochastic coagulation-fragmentation models for the study of protein aggregation phenomena. Stochastic Dynamical Systems in Biology: Numerical Methods and Applications, Isaac Newton Institute. GBR., Jan 2016, Cambridge, United Kingdom. 31 diapositives. ⟨hal-02795563⟩
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Habilitation à diriger des recherches

ref_biblio
Laurent Pujo-Menjouet. Étude de modèles mathématiques issus de la biologie du cycle cellulaire et de la dynamique des protéines. Systèmes dynamiques [math.DS]. Université Claude Bernard Lyon 1 – Institut Camille Jordan, 2016. ⟨tel-01411371⟩
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Theses

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Abdennasser Chekroun. Contribution à l’analyse mathématique d’équations aux dérivées partielles structurées en âge et en espace modélisant une dynamique de population cellulaire. Equations aux dérivées partielles [math.AP]. Université de Lyon, 2016. Français. ⟨NNT : 2016LYSE1040⟩. ⟨tel-01313670v2⟩
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https://theses.hal.science/tel-01313670/file/TH2016CHEKROUNABDENNASSER.pdf BibTex
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Marine Jacquier. Mathematical modeling of the hormonal regulation of food intake and body weight : applications to caloric restriction and leptin resistance. Statistics [math.ST]. Université de Lyon, 2016. English. ⟨NNT : 2016LYSE1027⟩. ⟨tel-01273347v2⟩
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2015

Journal articles

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Stéphane Gaubert, Thomas Lepoutre. Discrete limit and monotonicity properties of the Floquet eigenvalue in an age structured cell division cycle model. Journal of Mathematical Biology, 2015, 71 (6), ⟨10.1007/s00285-015-0874-3⟩. ⟨hal-00773211⟩
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https://inria.hal.science/hal-00773211/file/1301.2151.pdf BibTex
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Ophélie Arnaud, Sam Meyer, Elodie Vallin, Guillaume Beslon, Olivier Gandrillon. Temperature-induced variation in gene expression burst size in metazoan cells. BMC Molecular Biology, 2015, 16 (20), ⟨10.1186/s12867-015-0048-2⟩. ⟨hal-01248384⟩
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Mostafa Adimy, Abdennasser Chekroun, Tarik-Mohamed Touaoula. Age-structured and delay differential-difference model of hematopoietic stem cell dynamics. Discrete and Continuous Dynamical Systems – Series B, 2015, 20 (9), pp.27. ⟨10.3934/dcdsb.2015.20.2765⟩. ⟨hal-01249892⟩
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Geoffrey D Clapp, Thomas Lepoutre, Raouf El Cheikh, Samuel Bernard, Jérémy Ruby, et al.. Implication of the Autologous Immune System in BCR-ABL Transcript Variations in Chronic Myelogenous Leukemia Patients Treated with Imatinib.. Cancer Research, 2015, 75 (19), pp.4053-62. ⟨10.1158/0008-5472.CAN-15-0611⟩. ⟨hal-01251396⟩
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https://inria.hal.science/hal-01251396/file/Postprint_CLEBRLNL.pdf BibTex
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B. Zilg, Samuel Bernard, K. Alkass, S. Berg, H. Druid. A new model for the estimation of time of death from vitreous potassium levels corrected for age and temperature. Forensic Science International, 2015, 254, pp.158-166. ⟨10.1016/j.forsciint.2015.07.020⟩. ⟨hal-01225089⟩
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Mikael Rydén, Mehmet Uzunel, Joanna l. Hård, Erik Borgström, Jeff e. Mold, et al.. Transplanted Bone Marrow-Derived Cells Contribute to Human Adipogenesis. Cell Metabolism, 2015, 22 (3), pp.408-417. ⟨10.1016/j.cmet.2015.06.011⟩. ⟨hal-01225085⟩
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Marine Jacquier, Hédi A. Soula, Fabien Crauste. A mathematical model of leptin resistance. Mathematical Biosciences, 2015, 267, ⟨10.1016/j.mbs.2015.06.008⟩. ⟨hal-01233483⟩
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Samuel Bernard, Fabien Crauste. Optimal linear stability condition for scalar differential equations with distributed delay. Discrete and Continuous Dynamical Systems – Series B, 2015, 20 (7), ⟨10.3934/dcdsb.2015.20.1855⟩. ⟨hal-00997528⟩
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Fabien Crauste, Emmanuelle Terry, I Le Mercier, Julien Mafille, Sophie Djebali, et al.. Predicting pathogen-specific CD8 T cell immune responses from a modeling approach.. Journal of Theoretical Biology, 2015, 374, pp.66-82. ⟨10.1016/j.jtbi.2015.03.033⟩. ⟨hal-00717406v2⟩
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Olaf Bergmann, Sofia Zdunek, Anastasia Felker, Mehran Salehpour, Kanar Alkass, et al.. Dynamics of Cell Generation and Turnover in the Human Heart. Cell, 2015, 161 (7), pp.1566-1575. ⟨10.1016/j.cell.2015.05.026⟩. ⟨hal-01225091⟩
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Mostafa Adimy, Abdennasser Chekroun, Tarik-Mohamed Touaoula. A delay differential-difference system of hematopoietic stem cell dynamics. Comptes Rendus. Mathématique, 2015, 353 (4), ⟨10.1016/j.crma.2015.01.018⟩. ⟨hal-01249894⟩
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Vitaly Volpert, Natalia Reinberg, Mohammed Benmir, Soumaya Boujena. On pulse solutions of a reaction–diffusion system in population dynamics. Nonlinear Analysis: Theory, Methods and Applications, 2015, ⟨10.1016/j.na.2015.02.017⟩. ⟨hal-01237675⟩
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P Mazzocco, Célia Barthélémy, G Kaloshi, Marc Lavielle, D Ricard, et al.. Prediction of Response to Temozolomide in Low-Grade Glioma Patients Based on Tumor Size Dynamics and Genetic Characteristics. CPT: Pharmacometrics and Systems Pharmacology, 2015, 4 (12), pp.728-737. ⟨10.1002/psp4.54⟩. ⟨hal-01252076⟩
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Peggy Cellier, Thierry Charnois, Marc Plantevit, Christophe Rigotti, Bruno Crémilleux, et al.. Sequential pattern mining for discovering gene interactions and their contextual information from biomedical texts. Journal of Biomedical Semantics, 2015, 6, pp.1-27. ⟨10.1186/s13326-015-0023-3⟩. ⟨hal-01192959⟩
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Nikolai Bessonov, Natalia Reinberg, Vitaly Volpert. How morphology of artificial organisms influences their evolution. Ecological Complexity, 2015, ⟨10.1016/j.ecocom.2015.09.005⟩. ⟨hal-01237505⟩
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Alen Tosenberger, Nikolai Bessonov, Vitaly Volpert. Influence of Fibrinogen Deficiency on Clot Formation in Flow by Hybrid Model. Mathematical Modelling of Natural Phenomena, 2015, ⟨10.1051/mmnp/201510102⟩. ⟨hal-01237500⟩
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Mohammed Benmir, Nikolai Bessonov, Soumaya Boujena, Vitaly Volpert. Travelling Waves of Cell Dierentiation. Acta Biotheoretica, 2015. ⟨hal-01238175⟩
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Alen Tosenberger, Fazly Ataullakhanov, Nikolai Bessonov, Mikhail Panteleev, Alexei Tokarev, et al.. Modelling of platelet–fibrin clot formation in flow with a DPD–PDE method. Journal of Mathematical Biology, 2015, ⟨10.1007/s00285-015-0891-2⟩. ⟨hal-01237498⟩
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Nathalie Eymard, Vitaly Volpert, Vitali Vougalter. Existence of Pulses for Local and Nonlocal Reaction-Diffusion Equations. Journal of Dynamics and Differential Equations, 2015, ⟨10.1007/s10884-015-9487-1⟩. ⟨hal-01237744⟩
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Vitaly Volpert, Vitali Vougalter. On the existence of stationary solutions for some nonlinear heat equations. Annales Academiae Scientiarum Fennicae. Mathematica, 2015, ⟨10.5186/aasfm.2015.4013⟩. ⟨hal-01238488⟩
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Karam Allali, Vitaly Volpert, Vitali Vougalter. A Model of Miscible Liquids in Porous Media. Electronic Journal of Differential Equations, 2015. ⟨hal-01237171⟩
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L Desvillettes, Th Lepoutre, Ayman Moussa, A Trescases. On the entropic structure of reaction-cross diffusion systems. Communications in Partial Differential Equations, 2015, ⟨10.1080/03605302.2014.998837⟩. ⟨hal-01078175⟩
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Nikolai Bessonov, Michael Levin, Nadya Morozova, Natalia Reinberg, Alen Tosenberger, et al.. Target morphology and cell memory: a model of regenerative pattern formation Cell Memory Can Regulate Morphogenesis and Regeneration. Neural Regeneration Research, 2015. ⟨hal-01238420⟩
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Karam Allali, Fouad Bikany, Ahmed Taik, Vitaly Volpert. Numerical simulations of heat explosion with convection in porous media. Combustion Science and Technology, 2015, ⟨10.1080/00102202.2014.948619⟩. ⟨hal-01238489⟩
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Jacques Demongeot, Vitaly Volpert. Dynamical system model of decision making and propagation. Journal of Biological Systems, 2015, ⟨10.1142/S0218339015500187⟩. ⟨hal-01237695⟩
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Angélique Stéphanou, Vitaly Volpert. Hybrid Modelling in Cell Biology. Mathematical Modelling of Natural Phenomena, 2015, 10 (1), pp.1-3. ⟨10.1051/mmnp/201510100⟩. ⟨hal-01975989⟩
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Alen Tosenberger, Nikolai Bessonov, M Levin, Natalia Reinberg, Vitaly Volpert, et al.. Acta Biotheoretica Mathematical and philosophical foundations of biological and biomedical science A Conceptual Model of Morphogenesis and Regeneration. Acta Biotheoretica, 2015, ⟨10.1007/s10441-015-9249-9⟩. ⟨hal-01237264⟩
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Vitaly Volpert. Pulses and waves for a bistable nonlocal reaction–diffusion equation. Applied Mathematics Letters, 2015, ⟨10.1016/j.aml.2014.12.011⟩. ⟨hal-01237160⟩
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Nikolai Bessonov, Michael Levin, Nadya Morozova, Natalia Reinberg, Alen Tosenberger, et al.. On a Model of Pattern Regeneration Based on Cell Memory. PLoS ONE, 2015, ⟨10.1371/journal.pone.0118091⟩. ⟨hal-01237935⟩
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Vitali Vougalter, Vitaly Volpert. Existence of stationary solutions for some nonlocal reaction-diffusion equations. Dynamics of Partial Differential Equations, 2015, ⟨10.4310/DPDE.2015.v12.n1.a3⟩. ⟨hal-01237921⟩
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Conference papers

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Loic Barbarroux, Jean Clairambault, Nick Cogan, Jan Elias, Shalla Hanson, et al.. Preface to Session 70 ” Mathematical models and methods to investigate heterogeneity in cell and cell population biology “: Presentation of Session 70 in ICNAAM 2015, Rhodes. ICNAAM 2015 Session 70: “Mathematical models and methods to investigate heterogeneity in cell and cell population biology”, Organiser Session 70: Jean Clairambault, Sep 2015, Rhodes, Greece. ⟨hal-01249244⟩
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Loic Barbarroux, Philippe Michel, Mostafa Adimy, Fabien Crauste. Multi-scale modeling of the CD8 immune response. INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM 2015), Sep 2015, Rhodes, Greece. pp.320002, ⟨10.1063/1.4952106⟩. ⟨hal-02237894⟩
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Theses

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Raouf El Cheikh. Multiscale modeling for the regulation of cell cycle by the circadian clock : applications to chronotherapy. Dynamical Systems [math.DS]. Université Claude Bernard – Lyon I, 2015. English. ⟨NNT : 2015LYO10082⟩. ⟨tel-01254464v2⟩
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2014

Journal articles

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Maggie S y Yeung, Sofia Zdunek, Olaf Bergmann, Samuel Bernard, Mehran Salehpour, et al.. Dynamics of oligodendrocyte generation and myelination in the human brain.. Cell, 2014, 159, pp.766-774. ⟨hal-01092151⟩
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Sotiris Prokopiou, Loic Barbarroux, Samuel Bernard, Julien Mafille, Yann Leverrier, et al.. Multiscale Modeling of the Early CD8 T-Cell Immune Response in Lymph Nodes: An Integrative Study. Computation, 2014, 2 (4), pp.159-181. ⟨10.3390/computation2040159⟩. ⟨hal-01074736⟩
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Raouf El Cheikh, Samuel Bernard, Nader El Khatib. Modeling circadian clock-cell cycle interaction effects on cell population growth rates. Journal of Theoretical Biology, 2014, 363, pp.318-331. ⟨10.1016/j.jtbi.2014.08.008⟩. ⟨hal-01055081⟩
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Erwan Hingant, Pascaline Fontes, Maria-Teresa Alvarez-Martinez, Jacques-Damien Arnaud, Jean-Pierre Liautard, et al.. A Micellar On-Pathway Intermediate Step Explains the Kinetics of Prion Amyloid Formation. PLoS Computational Biology, 2014, 10 (8), pp.e1003735. ⟨10.1371/journal.pcbi.1003735⟩. ⟨hal-01104265⟩
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Pierre-Nicolas Mougel, Christophe Rigotti, Marc Plantevit, Olivier Gandrillon. Finding maximal homogeneous clique sets. Knowledge and Information Systems (KAIS), 2014, 39 (3), pp.579-608. ⟨10.1007/s10115-013-0625-y⟩. ⟨hal-00827164⟩
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Hagen B Huttner, Olaf Bergmann, Mehran Salehpour, Attila Rácz, Jemal Tatarishvili, et al.. The age and genomic integrity of neurons after cortical stroke in humans.. Nature Neuroscience, 2014, pp.801-3. ⟨hal-01092159⟩
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Aurélie Ernst, Kanar Alkass, Samuel Bernard, Mehran Salehpour, Shira Perl, et al.. Neurogenesis in the Striatum of the Adult Human Brain.. Cell, 2014, 156 (5), pp.1072-1083. ⟨10.1016/j.cell.2014.01.044⟩. ⟨hal-00952021⟩
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Thomas Lepoutre, Nicolas Meunier, Nicolas Muller. Cell polarisation model : the 1D case. Journal de Mathématiques Pures et Appliquées, 2014, 101 (2), pp.152–171. ⟨10.1016/j.matpur.2013.05.006⟩. ⟨hal-00776613⟩
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Frédérique Billy, Jean Clairambault, Olivier Fercoq, Stéphane Gaubert, Thomas Lepoutre, et al.. Synchronisation and control of proliferation in cycling cell population models with age structure. Mathematics and Computers in Simulation, 2014, 96, pp.66-94. ⟨10.1016/j.matcom.2012.03.005⟩. ⟨hal-00662885⟩
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Laurent Desvillettes, Thomas Lepoutre, Ayman Moussa. Entropy, Duality and Cross Diffusion. SIAM Journal on Mathematical Analysis, 2014, 46 (1), pp.820-853. ⟨10.1137/130908701⟩. ⟨hal-00785379⟩
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Vitaly Volpert, Vitali Vougalter. Existence of stationary pulses for nonlocal reaction-diffusion equations. Documenta Mathematica, 2014, 19, pp.1141-1153. ⟨hal-01097153⟩
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Mostafa Adimy, Oscar Angulo, Catherine Marquet, Leila Sebaa. A mathematical model of multistage hematopoietic cell lineages. Discrete and Continuous Dynamical Systems – Series B, 2014, 19 (1), pp.26. ⟨10.3934/dcdsb.2014.19.1⟩. ⟨hal-00993751⟩
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Mostafa Adimy, Khalil Ezzinbi, Catherine Marquet. Ergodic and weighted pseudo-almost periodic solutions for partial functional differential equations in fading memory spaces. Journal of Applied Mathematics and Computing, 2014, 44 (1-2), pp.19. ⟨10.1007/s12190-013-0686-9⟩. ⟨hal-00846883⟩
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Mohamed Helal, Erwan Hingant, Laurent Pujo-Menjouet, Glenn F. Webb. Alzheimer’s disease: analysis of a mathematical model incorporating the role of prions. Journal of Mathematical Biology, 2014, 69 (5), pp.1207-1235. ⟨10.1007/s00285-013-0732-0⟩. ⟨hal-00846137⟩
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Mostafa Adimy, Oscar Angulo, Juan Carlos López-Marcos, Miguel Angel López-Marcos. Asymptotic behaviour of a mathematical model of hematopoietic stem cell dynamics. International Journal of Computer Mathematics, 2014, 91 (2), pp.11. ⟨10.1080/00207160.2013.778400⟩. ⟨hal-00767161⟩
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Nikolai Bessonov, Reinberg Natalia, Vitaly Volpert. Mathematics of Darwin’s Diagram. Mathematical Modelling of Natural Phenomena, 2014, 9 (3), pp.5-25. ⟨10.1051/mmnp/20149302⟩. ⟨hal-01097152⟩
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Vitali Vougalter, Vitaly Volpert. On the solvability in the sense of sequences for some non-Fredholm operators. Dynamics of Partial Differential Equations, 2014, 11 (2), pp.109-124. ⟨10.4310/DPDE.2014.v11.n2.a1⟩. ⟨hal-01096776⟩
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Vitali Vougalter, Vitaly Volpert. Solvability Relations For Some Diffusion Equations With Convection Terms. Discontinuity, Nonlinearity, and Complexity, 2014, 3 (4), pp.457-465. ⟨hal-01097219⟩
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Stephan Fischer, Samuel Bernard, Guillaume Beslon, Carole Knibbe. A Model for Genome Size Evolution. Bulletin of Mathematical Biology, 2014, 76 (9), pp.2249 – 2291. ⟨10.1007/s11538-014-9997-8⟩. ⟨hal-01090984⟩
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Vitaly Volpert. Branching and aggregation in self-reproducing systems. ESAIM: Proceedings, 2014, 47, pp.116-129. ⟨10.1051/proc/201447007⟩. ⟨hal-01098162⟩
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Narcisa Apreutesei, Vitaly Volpert. Properness and topological degree for nonlocal integro-differential systems. Topological Methods in Nonlinear Analysis, 2014, 43 (1), pp.215-229. ⟨hal-01096780⟩
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Patrice Nony, Polina Kurbatova, Agathe Bajard, Salma Malik, Charlotte Castellan, et al.. A methodological framework for drug development in rare diseases. Orphanet Journal of Rare Diseases, 2014, 9 (164), pp.1-10. ⟨10.1186/s13023-014-0164-y⟩. ⟨hal-01097224⟩
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Marine Jacquier, Fabien Crauste, Christophe Soulage, Hédi A Soula. A predictive model of the dynamics of body weight and food intake in rats submitted to caloric restrictions.. PLoS ONE, 2014, 9 (6), pp.e100073. ⟨10.1371/journal.pone.0100073⟩. ⟨hal-01017357⟩
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Mostafa Adimy, Mohamed Alia, Khalil Ezzinbi. Functional differential equations with unbounded delay in extrapolation spaces. Electronic Journal of Differential Equations, 2014, 2014, pp.1 – 16. ⟨hal-01096950⟩
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Vitaly Volpert, Vitali Vougalter. Solvability conditions for some non Fredholm operators in a layer in four dimensions. Discontinuity, Nonlinearity, and Complexity, 2014, 3 (1), pp.59-71. ⟨hal-01096774⟩
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Nathalie Eymard, Nikolai Bessonov, Olivier Gandrillon, Koury Mark, Vitaly Volpert. The role of spatial organization of cells in erythropoiesis. Journal of Mathematical Biology, 2014, pp.1-29. ⟨10.1007/s00285-014-0758-y⟩. ⟨hal-01096794⟩
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Conference papers

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Mansour Dia Ben, Ababacar Diagne, Leon Matar Tine. A generalized finite difference method for the 2-D nonlinear shallow water equations. CARI’14 Colloque Africain sur la Recherche en Informatique et en Mathématiques Appliquées., Oct 2014, Saint-Louis, Senegal. ⟨hal-01104586⟩
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Anass Bouchnita, Nathalie Eymard, Mark Koury, Vitaly Volpert. Initiation of erythropoiesis by BFU-E cells. Mathematical biology in life sciences, Sep 2014, Sidi bel Abbes, Algeria. ⟨10.1051/itmconf/20150401002⟩. ⟨hal-01238490⟩
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Léon Matar Tine. Inverse problem for cell division rate in population dynamics. Workshop on Mathematics for Life Sciences (WMLS 2014), Sep 2014, Sidi Bel-Abbes, Algeria. pp.10, ⟨10.1051/itmconf/20150401003⟩. ⟨hal-01253536⟩
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Book sections

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Laurent Pujo-Menjouet. Théorie sur l’apparition de structures de Turing pour les biologistes ou éclaircissements sur deux intuitions ingénieuses. Modéliser & simuler – Epistémologies et pratiques de la modélisation et de la simulation – Tome 2, 2, Éditions Matériologiques, pp.525, 2014, Modélisations, simulations, systèmes complexes, 978-2-919694-72-3. ⟨hal-01102076⟩
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Habilitation à diriger des recherches

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Fabien Crauste. Equations à Retard et Modèles de Dynamiques de Populations Cellulaires. Mathématiques générales [math.GM]. Université Claude Bernard Lyon 1, 2014. ⟨tel-01092352⟩
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Books

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Vitaly Volpert. Elliptic Partial Differential Equations Volume 2: Reaction-Diffusion Equations. Birkhauser, 2014, ISBN: 978-3-0348-0812-5. ⟨hal-01097226⟩
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Theses

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Alen Tosenberger. Blood flow modelling and applications to blood coagulation and atherosclerosis. Mathematics [math]. Université Claude Bernard – Lyon 1 Institut Camille Jordan – CNRS UMR 5208, 2014. English. ⟨NNT : ⟩. ⟨tel-01101607⟩
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2013

Journal articles

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Mikael Rydén, Daniel P Andersson, Samuel Bernard, Kirsty Spalding, Peter Arner. Adipocyte triglyceride turnover and lipolysis in lean and overweight subjects.. Journal of Lipid Research, 2013, 54 (10), pp.2909-2913. ⟨10.1194/jlr.M040345⟩. ⟨hal-00867570⟩
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Samuel Bernard. From Single-Scale to Multiscale Modelling in Biology. Acta Biotheoretica, 2013, 61 (3), pp.291-303. ⟨10.1007/s10441-013-9199-z⟩. ⟨hal-00867564⟩
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Thomas Lepoutre, Salome Martinez. Steady state analysis for a relaxed cross diffusion model. Discrete and Continuous Dynamical Systems – Series A, 2013, 34 (2), pp.613-633. ⟨10.3934/dcds.2014.34.613⟩. ⟨hal-00857467⟩
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Vitaly Volpert, Vitali Vougalter. Solvability in the sense of sequence for some non-Fredholm elliptic problems. Discontinuity, Nonlinearity, and Complexity, 2013, in press. ⟨hal-00846862⟩
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Vitaly Volpert, Narcisa Apreutesei, Alen Tosenberger. Existence of Reaction-Diffusion Waves with Nonlinear Boundary Conditions. Mathematical Modelling of Natural Phenomena, 2013, 8 (4), pp.2-17. ⟨10.1051/mmnp/20138302⟩. ⟨hal-00846820⟩
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Vitaly Volpert, Nikolai Bessonov, Victoria Mironova. Deformable cell model and its application to growth of plant meristem. Mathematical Modelling of Natural Phenomena, 2013, 8 (3), pp.62-79. ⟨10.1051/mmnp/20138405⟩. ⟨hal-00846821⟩
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Vitaly Volpert, Vitali Vougalter. Solvability in the sense of sequences to some non-Fredholm operators. Electronic Journal of Differential Equations, 2013, 2013 (160), pp.1-16. ⟨hal-00846784⟩
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Vitaly Volpert, A.G. Ramm. Convergence of time dependent Turing structure to a stationary solution. Acta Applicandae Mathematicae, 2013, 123 (1), pp.31-42. ⟨10.1007/s10440-012-9711-5⟩. ⟨hal-00846571⟩
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Narcisa Apreutesei, Vitaly Volpert. Reaction-diffusion waves with nonlinear boundary conditions. Networks and Heterogeneous Media, 2013, 8 (1), pp.23-35. ⟨10.3934/nhm.2013.8.23⟩. ⟨hal-00846563⟩
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Kirsty L Spalding, Olaf Bergmann, Kanar Alkass, Samuel Bernard, Mehran Salehpour, et al.. Dynamics of hippocampal neurogenesis in adult humans.. Cell, 2013, 153 (6), pp.1219-1227. ⟨10.1016/j.cell.2013.05.002⟩. ⟨hal-00839513⟩
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Frédéric Thomas, Daniel Fisher, Philippe Fort, Jean-Pierre Marie, Simon Daoust, et al.. Applying ecological and evolutionary theory to cancer: a long and winding road. Evolutionary Applications, 2013, 6 (1), pp.1-10. ⟨10.1111/eva.12021⟩. ⟨halsde-00790602⟩
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Kanar Alkass, Hisako Saitoh, Bruce A Buchholz, Samuel Bernard, Gunilla Holmlund, et al.. Analysis of radiocarbon, stable isotopes and DNA in teeth to facilitate identification of unknown decedents.. PLoS ONE, 2013, 8 (7), ⟨10.1371/journal.pone.0069597⟩. ⟨hal-00867568⟩
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Book sections

ref_biblio
Vitaly Volpert, Nikolai Bessonov, Alen Tosenberger, Nathalie Eymard. Modele multi-echelle de la dynamique cellulaire. Le vivant discret et continu, Editions Materiologiques, in press, 2013. ⟨hal-00846865⟩
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Vitaly Volpert, N. Bessonov, Polina Kurbatova. Pattern Formation in Hybrid Models of Cell Population. Pattern Formation in Morphogenesis, Springer-Verlag, pp.107-119, 2013, Springer Proceedings in Mathematics, 978-3-642-20164-6. ⟨10.1007/978-3-642-20164-6_10⟩. ⟨hal-00846783⟩
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Vitaly Volpert, Vitali Vougalter. Emergence and Propagation of Patterns in Nonlocal Reaction-Diffusion Equations Arising in the Theory of Speciation.. Dispersal, Individual Movement and Spatial Ecology, Springer-Verlag, pp.331-353, 2013, Lecture Notes in Mathematics, 978-3-642-35497-7. ⟨10.1007/978-3-642-35497-7_12⟩. ⟨hal-00846559⟩
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Grigory Bordyugov, Pål O Westermark, Ana Korencic, Samuel Bernard, Hanspeter Herzel. Mathematical modeling in chronobiology. Achim Kramer and Martha Merrow. Circadian clocks, Springer, pp.335–357, 2013, ⟨10.1007/978-3-642-25950-0_14⟩. ⟨hal-00839517⟩
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Samuel Bernard. Modélisation multi-échelles en biologie. Nicolas Glade and Angélique Stéphanou. Le vivant discret et continu, Éditions Matériologiques, pp.65-89, 2013, Science & Philosophie, 978-2-919694-23-5. ⟨hal-00920523⟩
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Preprints, Working Papers, …

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Karam Allali, Fouad Bikany, Ahmed Taik, Vitaly Volpert. Numerical Simulations of Heat ExplosionWith Convection In Porous Media. 2013. ⟨hal-00859414⟩
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2012

Journal articles

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Keith Frayn, Samuel Bernard, Kirsty Spalding, Peter Arner. Adipocyte triglyceride turnover is independently associated with atherogenic dyslipidemia.. Journal of the American Heart Association, 2012, 1 (6), pp.e003467. ⟨10.1161/JAHA.112.003467⟩. ⟨hal-00839514⟩
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N. El Khatib, Stéphane Génieys, Bogdan Kazmierczak, Vitaly Volpert. Reaction-Diffusion Model of Atherosclerosis Development.. Journal of Mathematical Biology, 2012, 65 (2), pp.349-374. ⟨10.1007/s00285-011-0461-1⟩. ⟨hal-00753096⟩
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Alen Tosenberger, Fazly Ataullakhanov, N. Bessonov, Mikhail A. Panteleev, Alexey Tokarev, et al.. Modelling of thrombus growth and growth stop in flow by the method of dissipative particle dynamics.. Russian Journal of Numerical Analysis and Mathematical Modelling, 2012, 27 (5), pp.507-522. ⟨10.1515/rnam-2012-0029⟩. ⟨hal-00753089⟩
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Nikolai Bessonov, Nathalie Eymard, Polina Kurbatova, Vitaly Volpert. Mathematical modelling of erythropoiesis in vivo with multiple erythroblastic islands.. Applied Mathematics Letters, 2012, 25 (9), pp.1217-1221. ⟨10.1016/j.aml.2012.02.053⟩. ⟨hal-00753093⟩
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Vitaly Volpert, Vitali Vougalter. Solvability Conditions for a Linearized Cahn-Hilliard Equation of Sixth Order.. Mathematical Modelling of Natural Phenomena, 2012, 7 (2), pp.146–154. ⟨10.1051/mmnp/20127212⟩. ⟨hal-00753092⟩
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Vitaly Volpert, Vitali Vougalter. Solvability conditions for some linear and nonlinear non-Fredholm elliptic problems.. Analysis and Mathematical Physics, 2012, 2, pp.473-496. ⟨10.1007/s13324-012-0046-1⟩. ⟨hal-00753099⟩
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Vitaly Volpert, Vitali Vougalter. On the existence of stationary solutions for some systems of non-Fredholm integro-differential equations.. Discontinuity, Nonlinearity, and Complexity, 2012, 1 (2), pp.197-209. ⟨hal-00753090⟩
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Vitaly Volpert, Narcisa Apreutesei. Existence of travelling waves for a class of integro-differential equations from population dynamics. International Electronic Journal of Pure and Applied Mathematics, 2012, 5 (2), pp.53-67. ⟨hal-00753095⟩
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Vitaly Volpert, Vitali Vougalter. On the solvability conditions for the diffusion equation with convection terms.. Communications on Pure and Applied Mathematics, 2012, 11 (1), pp.365–373. ⟨hal-00753098⟩
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R. K. Upadhyay, Vitaly Volpert, N. K. Thakur. Propagation of Turing patterns in a plankton model.. Journal of Biological Dynamics, 2012, 6 (2), pp.524-538. ⟨10.1080/17513758.2012.655327⟩. ⟨hal-00753094⟩
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Samuel Bernard. Né pour sentir [Born to smell].. Médecine/Sciences, 2012, 28 (11), pp.937-9. ⟨10.1051/medsci/20122811012⟩. ⟨hal-00767595⟩
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Emmanuelle Terry, Jacqueline Marvel, Christophe Arpin, Olivier Gandrillon, Fabien Crauste. Mathematical model of the primary CD8 T cell immune response: stability analysis of a nonlinear age-structured system.. Journal of Mathematical Biology, 2012, 65, pp.263-291. ⟨10.1007/s00285-011-0459-8⟩. ⟨hal-00649219⟩
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Philippe Michel, Tarik Touaoula. Asymptotic behavior for a class of the renewal nonlinear equation with diffusion. Mathematical Methods in the Applied Sciences, 2012, 36 (3), pp.323-335. ⟨10.1002/mma.2591⟩. ⟨hal-00785171⟩
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Olaf Bergmann, Jakob Liebl, Samuel Bernard, Kanar Alkass, Maggie S y Yeung, et al.. The age of olfactory bulb neurons in humans.. Neuron, 2012, 74 (4), pp.634-639. ⟨10.1016/j.neuron.2012.03.030⟩. ⟨hal-00755464⟩
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Ionel Sorin Ciuperca, Erwan Hingant, Liviu Iulian Palade, Laurent Pujo-Menjouet. Fragmentation and monomer lengthening of rod-like polymers, a relevant model for prion proliferation. Discrete and Continuous Dynamical Systems – Series B, 2012, 17 (3), pp.775-799. ⟨10.3934/dcdsb.2012.17.775⟩. ⟨hal-00653362⟩
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S. Fischer, P. Kurbatova, N. Bessonov, Olivier Gandrillon, Vitaly Volpert, et al.. Modeling erythroblastic islands: using a hybrid model to assess the function of central macrophage.. Journal of Theoretical Biology, 2012, 298, pp.92-106. ⟨10.1016/j.jtbi.2012.01.002⟩. ⟨hal-00596682v2⟩
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Polina Kurbatova, Grigory Panasenko, Vitaly Volpert. Asymptotic-numerical analysis of the diffusion- discrete absorption equation. Mathematical Methods in the Applied Sciences, 2012, 35 (4), pp.438-444. ⟨10.1002/mma.1572⟩. ⟨hal-00869285⟩
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Alexey Tokarev, G. Sirakov, G. Panasenko, Vitaly Volpert, E. Schnol, et al.. Continuous Mathematical Model of Platelet Thrombus Formation in Blood Flow.. Russian Journal of Numerical Analysis and Mathematical Modelling, 2012, 27 (2), pp.192-212. ⟨10.1515/rnam-2012-0011⟩. ⟨hal-00753091⟩
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Mostafa Adimy, Catherine Marquet. On the stability of hematopoietic model with feedback control. Comptes Rendus. Mathématique, 2012, 350 (3-4), pp.173-176. ⟨10.1016/j.crma.2012.01.014⟩. ⟨hal-00763154⟩
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Olaf Bergmann, Sofia Zdunek, Jonas Frisén, Samuel Bernard, Henrik Druid, et al.. Cardiomyocyte renewal in humans.. Circulation Research, 2012, 110 (1), e17-8; author reply e19-21. ⟨10.1161/CIRCRESAHA.111.259598⟩. ⟨hal-00755465⟩
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Mostafa Adimy, Fabien Crauste. Delay Differential Equations and Autonomous Oscillations in Hematopoietic Stem Cell Dynamics Modeling. Mathematical Modelling of Natural Phenomena, 2012, 7 (6), pp.1-22. ⟨10.1051/mmnp/20127601⟩. ⟨hal-00766339⟩
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Thomas Lepoutre, Michel Pierre, Guillaume Rolland. Global well-posedness of a conservative relaxed cross diffusion system.. SIAM Journal on Mathematical Analysis, 2012, 44 (3), pp.1674-1693. ⟨10.1137/110848839⟩. ⟨hal-00683006⟩
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Raouf El Cheikh, Thomas Lepoutre, Samuel Bernard. Modeling Biological Rhythms in Cell Populations. Mathematical Modelling of Natural Phenomena, 2012, 7 (6), pp.107–125. ⟨10.1051/mmnp/20127606⟩. ⟨hal-00847008⟩
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Mostafa Adimy, Khalil Ezzinbi, Catherine Marquet. Center manifolds for some partial functional differential equations with infinite delay in fading memory spaces. Journal of Concrete and Applicable Mathematics, 2012, 10 (3-4), pp.168-185. ⟨hal-00763166⟩
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Conference papers

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Pierre-Nicolas Mougel, Christophe Rigotti, Olivier Gandrillon. Finding Collections of k-Clique Percolated Components in Attributed Graphs. Pacific-Asia Conference on Knowledge Discovery and Data Mining (PAKDD), 2012, Kuala Lumpur, Malaysia. pp.181–192. ⟨hal-00758843⟩
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Pierre-Nicolas Mougel, Christophe Rigotti, Olivier Gandrillon. Finding Collections of Protein Modules in Protein-Protein Interaction Networks. Bioinformatics and Computational Biology (BICoB), 2012, Las Vegas, United States. pp.216-222. ⟨hal-00758858⟩
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Theses

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Erwan Hingant. Contributions à la modélisation mathématique et numérique de problèmes issus de la biologie – Applications aux Prions et à la maladie d’Alzheimer. Equations aux dérivées partielles [math.AP]. Université Claude Bernard – Lyon I, 2012. Français. ⟨NNT : ⟩. ⟨tel-00763444⟩
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Mohammed Belkasmi. Contributions à la théorie des modèles positive.. Logique [math.LO]. Université Claude Bernard – Lyon I, 2012. Français. ⟨NNT : ⟩. ⟨tel-00733592⟩
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Preprints, Working Papers, …

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Alen Tosenberger, Fazly Ataullakhanov, Nikolai Bessonov, Mikhail A. Panteleev, Alexey Tokarev, et al.. The role of platelets in blood coagulation during thrombus formation in flow. 2012. ⟨hal-00729046v2⟩
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2011

Journal articles

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Alen Tosenberger, Vsevolod Salnikov, Nikolai Bessonov, Evgeniya Babushkina, Vitaly Volpert. Particle Dynamics Methods of Blood Flow Simulations,. Mathematical Modelling of Natural Phenomena, 2011, 6 (5), pp.320-332. ⟨10.1051/mmnp/20116512⟩. ⟨hal-00653688⟩
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Vitali Vougalter, Vitaly Volpert. Solvability conditions for some non-Fredholm operators. Proceedings of the Edinburgh Mathematical Society, 2011, 54 (1), pp.249-271. ⟨10.1017/S0013091509000236⟩. ⟨hal-00653658⟩
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Vitali Vougalter, Vitaly Volpert. On the existence of stationary solutions for some non-Fredholm integro-differential equations. Documenta Mathematica, 2011, 16, pp.561-580. ⟨hal-00653648⟩
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Narcisa Apreutesei, Vitaly Volpert. Properness and Topological Degree for Nonlocal Reaction-Diffusion Operators. Abstract and Applied Analysis, 2011, pp.ID 629692. ⟨hal-00653656⟩
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Arnaud Ducrot, Martine Marion, Vitaly Volpert. Spectrum of some integro-differential operators and stability of travelling waves. Nonlinear Analysis: Theory, Methods and Applications, 2011, 74 (13), pp.4455-4473. ⟨10.1016/j.na.2011.04.009⟩. ⟨hal-00653653⟩
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Nikolai Bessonov, Vitaly Volpert. Computational Algorithm for Some Problems with Variable Geometrical Structure. Lecture Notes in Computer Science, 2011, 6260/2011, pp.87-102. ⟨10.1007/978-3-642-16236-7_6⟩. ⟨hal-00653652⟩
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Peter Arner, Samuel Bernard, Mehran Salehpour, Göran Possnert, Jakob Liebl, et al.. Dynamics of human adipose lipid turnover in health and metabolic disease.. Nature, 2011, 478 (7367), pp.110-3. ⟨10.1038/nature10426⟩. ⟨hal-00649210⟩
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C. Mejia-Pous, F. Damiola, Olivier Gandrillon. Cholesterol synthesis-related enzyme oxidosqualene cyclase is required to maintain self-renewal in primary erythroid progenitors.. Cell Proliferation, 2011, 44 (5), pp.441-52. ⟨10.1111/j.1365-2184.2011.00771.x⟩. ⟨hal-00652350⟩
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Maria-Teresa Alvarez-Martinez, Pascaline Fontes, Viviana Zomosa-Signoret, Jacques-Damien Arnaud, Erwan Hingant, et al.. Dynamics of polymerization shed light on the mechanisms that lead to multiple amyloid structures of the prion protein.. BBA – Biochimica et Biophysica Acta, 2011, 1814 (10), pp.1305-17. ⟨10.1016/j.bbapap.2011.05.016⟩. ⟨hal-00653368⟩
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Anuradha Chauhan, Stephan Lorenzen, Hanspeter Herzel, Samuel Bernard. Regulation of mammalian cell cycle progression in the regenerating liver.. Journal of Theoretical Biology, 2011, 283 (1), pp.103-12. ⟨10.1016/j.jtbi.2011.05.026⟩. ⟨hal-00649211⟩
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Fabien Crauste. A review on local asymptotic stability analysis for mathematical models of hematopoiesis with delay and delay-dependent coefficients. Annals of the Tiberiu Popoviciu Seminar of functional equations, approximation and convexity, 2011, 9, pp.121-143. ⟨hal-00750271⟩
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Eric Bertin, Guillaume Beslon, Olivier Gandrillon, Sebastian Grauwin, Pablo Jensen, et al.. Les complexités : point de vue d’un institut des systèmes complexes. Hermès, La Revue – Cognition, communication, politique, 2011, 2 (60), pp.145-150. ⟨10.4267/2042/45459⟩. ⟨hal-00744520⟩
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Olaf Bergmann, Sofia Zdunek, Kanar Alkass, Henrik Druid, Samuel Bernard, et al.. Identification of cardiomyocyte nuclei and assessment of ploidy for the analysis of cell turnover.. Experimental Cell Research, 2011, 317 (2), pp.188-94. ⟨10.1016/j.yexcr.2010.08.017⟩. ⟨hal-00542527⟩
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Michael C. Mackey, Marta Tyran-Kamińska, Romain Yvinec. Molecular distributions in gene regulatory dynamics. Journal of Theoretical Biology, 2011, 274 (1), pp.84–96. ⟨10.1016/j.jtbi.2011.01.020⟩. ⟨hal-00651585⟩
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Nikolai Bessonov, Fabien Crauste, Vitaly Volpert. Modelling of Plant Growth with Apical or Basal Meristem. Mathematical Modelling of Natural Phenomena, 2011, 6 (2), pp.107-132. ⟨10.1051/mmnp/20116204⟩. ⟨hal-00649218⟩
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Mostafa Adimy, Khalil Ezzinbi, Mohamed Alia. Extrapolation Spaces and Partial Neutral Functional Differential Equations with infinite delay. Differential and integral equations, 2011. ⟨inria-00554435⟩
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Polina Kurbatova, Samuel Bernard, Nikolai Bessonov, Fabien Crauste, Ivan Demin, et al.. HYBRID MODEL OF ERYTHROPOIESIS AND LEUKEMIA TREATMENT WITH CYTOSINE ARABINOSIDE. SIAM Journal on Applied Mathematics, 2011, 71 (6), pp.2246-2268. ⟨10.1137/100815517⟩. ⟨hal-00538496v2⟩
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Nikolai Bessonov, Fabien Crauste, Stephan Fisher, Polina Kurbatova, Vitaly Volpert. Application of Hybrid Models to Blood Cell Production in the Bone Marrow. Mathematical Modelling of Natural Phenomena, 2011, 6 (7), pp.2-12. ⟨10.1051/mmnp/20116701⟩. ⟨hal-00649217⟩
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Conference papers

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Pierre-Nicolas Mougel, Marc Plantevit, Christophe Rigotti, Olivier Gandrillon, Jean-François Boulicaut. Extraction sous Contraintes d’Ensembles de Cliques Homogènes. 11eme Conference Francophone sur l’Extraction et la Gestion des Connaissances (EGC’11), 2011, Brest, France. pp.1-12. ⟨hal-00744808⟩
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Book sections

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Nikolai Bessonov, Ivan Demin, Polina Kurbatova, Laurent Pujo-Menjouet, Vitaly Volpert. Multi-Agent Systems and Blood Cell Formation. InTech. Multi-Agent Systems – Modeling, Interactions, Simulations and Case Studies, InTech, pp.502, 2011, Robotics, 978-953-307-176-3. ⟨10.5772/1936⟩. ⟨hal-00858507⟩
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Other publications

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Romain Yvinec, Alexandre F. Ramos. On the bursting of gene products. 2011. ⟨hal-00651588⟩
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Books

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Vitaly Volpert. Elliptic Partial Differential Equations. Volume I. Fredholm theory of elliptic problems in unbounded domains. birkhauser, pp.655, 2011. ⟨hal-00653777⟩
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Preprints, Working Papers, …

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Mohammed Belkasmi. Positive model theory and amalgamations. 2011. ⟨hal-00746275⟩
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Erwan Hingant. A numerical scheme for rod-like polymers with fragmentation and monomers lengthening. 2011. ⟨hal-00653394⟩
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2010

Journal articles

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Corinne Royer, Jérôme Briolay, Annie Garel, Patrick Brouilly, Shun-Ichi Sasanuma, et al.. Novel genes differentially expressed between posterior and median silk gland identified by SAGE-aided transcriptome analysis.. Insect Biochemistry and Molecular Biology, 2010, 41 (2), epub ahead of print. ⟨10.1016/j.ibmb.2010.11.003⟩. ⟨hal-00542448⟩
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Anh Thu Nguyen-Lefebvre, Sandrine Gonin-Giraud, Alexander Scherl, Patrizia Arboit, Laure Granger, et al.. Identification of human, rat and chicken ribosomal proteins by a combination of two-dimensional polyacrylamide gel electrophoresis and mass spectrometry.. Journal of Proteomics, 2010, epub ahead of print. ⟨10.1016/j.jprot.2010.10.007⟩. ⟨hal-00542454⟩
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K. Allali, F. Bikany, A. Taik, Vitaly Volpert. Linear stability analysis of reaction fronts propagation in liquids with vibrations. International Electronic Journal of Pure and Applied Mathematics, 2010, 1 (2), pp.196-215. ⟨hal-00547725⟩
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Vitaly Volpert, Narcisa Apreutesei, Nikolai Bessonov, Vitali Vougalter. Spatial structures and generalized travelling waves for an integro-differential equation. Discrete and Continuous Dynamical Systems – Series B, 2010, 13 (3), pp.537-557. ⟨10.3934/dcdsb.2010.13.537⟩. ⟨hal-00547574⟩
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Ivan Demin, Vitaly Volpert. Existence of Waves for a Nonlocal Reaction-Diffusion Equation. Mathematical Modelling of Natural Phenomena, 2010, 5 (5), pp.80-101. ⟨10.1051/mmnp/20105506⟩. ⟨hal-00547724⟩
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Vitali Vougalter, Vitaly Volpert. On the solvability conditions for some non-Fredholm operators. International Journal of Pure and Applied Mathematics, 2010, 60 (2), pp.169-191. ⟨hal-00547729⟩
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Fabien Crauste, Ivan Demin, Olivier Gandrillon, Vitaly Volpert. Mathematical study of feedback control roles and relevance in stress erythropoiesis.. Journal of Theoretical Biology, 2010, 263 (3), pp.303-16. ⟨10.1016/j.jtbi.2009.12.026⟩. ⟨hal-00542457⟩
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Erik Arner, Pål O Westermark, Kirsty L Spalding, Tom Britton, Mikael Rydén, et al.. Adipocyte turnover: relevance to human adipose tissue morphology.. Diabetes, 2010, 59 (1), pp.105-9. ⟨10.2337/db09-0942⟩. ⟨hal-00542528⟩
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Mostafa Adimy, Fabien Crauste, Hassan Hbid, Redouane Qesmi. Stability and Hopf bifurcation for a cell population model with state-dependent delay. SIAM Journal on Applied Mathematics, 2010, 70 (5), pp.1611-1633. ⟨10.1137/080742713⟩. ⟨hal-00542655⟩
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Mostafa Adimy, Fabien Crauste, Catherine Marquet. Asymptotic behavior and stability switch for a mature-immature model of cell differentiation. Nonlinear Analysis: Real World Applications, 2010, 11 (4), pp.2913-2929. ⟨10.1016/j.nonrwa.2009.11.001⟩. ⟨hal-00542644⟩
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Ivan Demin, Fabien Crauste, Olivier Gandrillon, Vitaly Volpert. A multi-scale model of erythropoiesis. Journal of Biological Dynamics, 2010, 4 (1), pp.59-70. ⟨10.1080/17513750902777642⟩. ⟨hal-00542669⟩
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Samuel Bernard, Branka Cajavec Bernard, Francis Lévi, Hanspeter Herzel. Tumor growth rate determines the timing of optimal chronomodulated treatment schedules. PLoS Computational Biology, 2010, 6 (3), pp.e1000712. ⟨10.1371/journal.pcbi.1000712⟩. ⟨hal-00470302⟩
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Samuel Bernard, Jonas Frisén, Kirsty L. Spalding. A mathematical model for the interpretation of nuclear bomb test derived 14C incorporation in biological systems. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 2010, 268 (7-8), pp.1295-1298. ⟨10.1016/j.nimb.2009.10.156⟩. ⟨hal-00544517v2⟩
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Mostafa Adimy, Fabien Crauste, Abderrahim El Abdllaoui. Boundedness and Lyapunov Function for a Nonlinear System of Hematopoietic Stem Cell Dynamics. Comptes Rendus. Mathématique, 2010, 348 (7-8), pp.373-377. ⟨10.1016/j.crma.2010.02.018⟩. ⟨hal-00542477⟩
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Book sections

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Fabien Crauste. Stability and Hopf bifurcation for a first-order linear delay differential equation with distributed delay. Complex Time Delay Systems (Ed. F. Atay), Springer, pp.320, 2010, ⟨10.1007/978-3-642-02329-3_8⟩. ⟨hal-00542651⟩
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2009

Journal articles

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Fabien Crauste, Mostafa Adimy. Mathematical model of hematopoiesis dynamics with growth factor-dependent apoptosis and proliferation regulation. Mathematical and Computer Modelling, 2009, 49, pp.2128-2137. ⟨10.1016/j.mcm.2008.07.014⟩. ⟨hal-00542665⟩
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Nader El Khatib, Stéphane Génieys, Abdelmalek Zine, Vitaly Volpert. Non-Newtonian effects in a fluid-structure interaction model for atherosclerosis. Journal of Applied Mechanics and Technical Physics, 2009, 50 (1), pp.55-64. ⟨hal-00937323⟩
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Nikolai Bessonov, Fabien Crauste, Ivan Demin, Vitaly Volpert. Dynamics of erythroid progenitors and erythroleukemia. Mathematical Modelling of Natural Phenomena, 2009, Cancer modelling (Part 2), 4 (3), pp.210-232. ⟨10.1051/mmnp/20094309⟩. ⟨hal-00542660⟩
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https://hal.science/hal-00542660/file/BessonovCrausteDeminVolpertMMNP2009.pdf BibTex
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Marie Doumic, Thierry Goudon, Thomas Lepoutre. Scaling limit of a discrete prion dynamics model. Communications in Mathematical Sciences, 2009, 7 (4), ⟨10.4310/CMS.2009.v7.n4.a3⟩. ⟨inria-00403914⟩
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https://inria.hal.science/inria-00403914/file/Scaling_limit_2009_07_05.pdf BibTex

2008

Journal articles

ref_biblio
Mostafa Adimy, Fabien Crauste, Abderrahim El Abdllaoui. Discrete maturity-structured model of cell differentiation with applications to acute myelogenous leukemia. Journal of Biological Systems, 2008, 16 (3), pp.395-424. ⟨10.1142/S0218339008002599⟩. ⟨hal-00750276⟩
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Mostafa Adimy, Samuel Bernard, Jean Clairambault, Fabien Crauste, Stéphane Génieys, et al.. Modélisation de la dynamique de l’hématopoïèse normale et pathologique. Hématologie, 2008, 14 (5), pp.339-350. ⟨10.1684/hma.2008.0282⟩. ⟨hal-00750278⟩
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https://inria.hal.science/hal-00750278/file/Adimy-et-al-Hematologie-2008.pdf BibTex
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Mostafa Adimy, Oscar Angulo, Fabien Crauste, Juan Carlos Lopez-Marcos. Numerical integration of a mathematical model of hematopoietic stem cell dynamics. Computers & Mathematics with Applications, 2008, 56, pp.594-606. ⟨10.1016/j.camwa.2008.01.003⟩. ⟨hal-00750283⟩
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2006

Journal articles

ref_biblio
Mostafa Adimy, Fabien Crauste, Abderrahim El Abdllaoui. Asymptotic Behavior of a Discrete Maturity Structured System of Hematopoietic Stem Cells Dynamics with Several Delays. Mathematical Modelling of Natural Phenomena, 2006, 1 (2), pp.1-22. ⟨10.1051/mmnp:2008001⟩. ⟨hal-00750285⟩
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