The Dracula project is devoted to multi-scale modeling in biology, and more specifically to the development of tools and methods to describe multi-scale processes in biology and medicine. Applications include normal and pathological hematopoiesis (for example leukemia), immune re- sponse, and other biological processes, like: tissue renewal, morphogenesis, atherosclerosis, prion disease, hormonal regulation of food intake, and so on. Multi-scale modeling implies simulta- neous modeling of several levels of descriptions of biological processes: intra-cellular networks (molecular level), cell behavior (cellular level), dynamics of cell populations (organ or tissue) with the control by other organs (organism). Such modeling represents one of the major challenges in modern science due to its importance and because of the complexity of biological phenomena and of the presence of very different interconnected scales.
Research
- Mathematical modeling for cell population dynamics
- Multi-scale modeling of hematopoiesis and leukemia
- Multi-scale modeling of the immune response
Representative Publications
- M Adimy, L Babin, L Pujo-Menjouet (2022) Why are periodic erythrocytic diseases so rare in humans?. Bulletin of Mathematical Biology 84:1-31 (link to PDF)
- IS Ciuperca, M Dumont, A Lakmeche, P Mazzocco, L Pujo-Menjouet, H Rezaei, LM Tine (2019) Alzheimer’s disease and prion: An in vitro mathematical model. Discrete \& Continuous Dynamical Systems-B 24:5225 (link to PDF)
- F Crauste, J Mafille, L Boucinha, S Djebali, O Gandrillon, J Marvel, C Arpin (2017) Identification of nascent memory CD8 T cells and modeling of their ontogeny. Cell Systems 4:306-317 (link to PDF)
- N Ratto, A Bouchnita, P Chelle, M Marion, M Panteleev, D Nechipurenko, B Tardy-Poncet, V Volpert (2021) Patient-specific modelling of blood coagulation. Bulletin of Mathematical Biology 83:1-31 (link to PDF)
- E Ventre, T Espinasse, C Bréhier, V Calvez, T Lepoutre, O Gandrillon (2021) 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 83:1-63 (link to PDF)
