Parameter estimation for the reaction–diffusion master equation

In this paper, we present a novel method to estimate chemical reaction and diffusion rates for biochemical reaction–diffusion dynamics from time series of observations. Our approach leverages iterated particle filtering as means fit high-dimensional stochastic discrete spatiotemporal model sparse data, often with some species in low copy numbers. We demonstrate the feasibility on three realistic systems. each case, recovered known true values all rate parameters great degree accuracy.