A theory for diffusivity estimation for spatially extended activator–inhibitor dynamics modeling the evolution of intracellular signaling networks is developed in the mathematical framework of stochastic reaction–diffusion systems. In order to account for model uncertainties, we extend the results for parameter estimation for semilinear stochastic partial differential equations, as developed in Pasemann and Stannat (Electron J Stat 14(1):547–579, 2020), to the problem of joint estimation of diffusivity and parametrized reaction terms. Our theoretical findings are applied to the estimation of effective diffusivity of signaling components contributing to intracellular dynamics of the actin cytoskeleton in the model organism Dictyostelium discoideum.

在随机反应-扩散系统的数学框架中，开发了一种对空间扩展的激活剂-抑制剂动力学进行扩散性估计的模型，该模型模拟了细胞内信号网络的演化。为了解决模型不确定性，我们将Pasemann和Stannat（Electron J Stat 14（1）：547-579，2020）开发的半线性随机偏微分方程参数估计的结果扩展到联合估计的问题扩散性和参数化反应项。我们的理论研究结果被应用于估计信号成分的有效扩散率，从而促进了碟形梭菌的肌动蛋白细胞骨架的细胞内动态。