Large population and size scale limit of a stochastic particle model

Philippe Michel (1)

1 MMCS - Modélisation mathématique, calcul scientifique

The aim of this work is to study this stochastic individual-based model, structured with respect to age (progression within the cell cycle) and space (radial distance from the oocyte). We prove the existence of solutions and the convergence in large population and size scale limit to a partial differential equation.

Mots clés: convergence; stochastic processes; partial differential equation

Domaines: Mathématiques [math]

Philippe Michel. Large population and size scale limit of a stochastic particle model. Mathematical Models and Methods in Applied Sciences, 2017, ⟨10.1142/S0218202517500105⟩. ⟨hal-01310264⟩