Fluctuation analysis for particle-based stochastic reaction-diffusion models
Files
First author draft
Date
2022-06
Authors
Heldman, Max
Isaacson, Samuel
Ma, Jingwei
Spiliopoulos, Konstantinos
Version
OA Version
First author draft
Citation
M. Heldman, S. Isaacson, J. Ma, K. Spiliopoulos. 2022. "Fluctuation analysis for particle-based stochastic reaction-diffusion models" https://doi.org/10.48550/arXiv.2206.10819
Abstract
Recent works have derived and proven the large-population mean-field limit for several classes of
particle-based stochastic reaction-diffusion (PBSRD) models. These limits correspond to systems of partial integral-differential equations (PIDEs) that generalize standard mass-action reaction-diffusion PDE models. In this work we derive and prove the next order fluctuation corrections to such limits, which we show satisfy systems of stochastic PIDEs with Gaussian noise. Numerical examples are presented to illustrate how including the fluctuation corrections can enable the accurate estimation of higher order statistics of the underlying PBSRD model.