Laurent Pujo-Menjouet (Université de Lyon, Institut Camille Jordan)
Title: Neuron scale modeling of prion production with the Unfolded Protein Response
Abstract: After reminding a brief biological context, we develop a mathematical model that describes concentration dynamics of PrPC and PrPSc prion proteins at the neuron scale and includes the effect of the Unfolded Protein Response (UPR). We first introduce a single neuron model taking the UPR mechanism into account. We investigate it and propose a stability study among which a bifurcation analysis with respect to three of its parameters. Then, we generalize it to two neurons showing PrPSc proteins interaction. Stability results are given when neurons exhibit identical parameters but interact differently (strong, weak or no interaction).
References: , , , and “Modeling the spatial propagation of Aβ oligomers in Alzheimer’s Disease.” ESAIM: Proceedings and Surveys 67 (2020): 30-45.
Meredith L. Greer, Laurent Pujo-Menjouet and Glenn F. Webb. “A mathematical analysis of the dynamics of prion proliferation.” Journal of theoretical biology 242.3 (2006): 598-606.
May 5th 2022, 15:00, Zoom meeting
