Séminaire SPACE Tours

Stochastic Modelling of Polymerisation of Proteins
Sarah Eugène (UPMC)
Friday 29 January 2016 11:00 -  Tours -  Salle 1180 (Bât E2)

Résumé :
To investigate intrinsic or extrinsic variability among amyloid formation experiments, we propose and study a new stochastic model, which is able to capture the main mechanisms of fibrillization while keeping a relative simplicity, which allows us for quantitative analysis. At first order, a law of large numbers shows its convergence towards the deterministic law of mass action, whereas at second order we prove a central limit theorem, which provides a stochastic differential equation that we solve explicitely. We then compared our analytical results with experimental data obtained on \beta_2-m formation, what leads us to modify the original model by the addition of a conformation step. This new model is able to explain intrinsic variability in amyloid formation not only for in vivo but also for in vitro experiments, and paves the way for a new and efficient methodology.

Liens :