Mean Field Limits of Particle-Based Stochastic Reaction-Diffusion Models

Particle-based stochastic reaction-diffusion (PBSRD) models are a popular approach for studying biological systems involving both noise in the reaction process and diffusive transport. In this work we derive coarse-grained deterministic partial integro-differential equation (PIDE) that provide mean field approximation to volume reactivity PBSRD model, model commonly used cellular processes. We formulate weak measure-valued (MVSP) representation demonstrating simplified but representative system it is consistent with Doi Fock space of corresponding forward equation. then prove convergence general MVSP PIDEs large-population (i.e., thermodynamic) limit.