论文标题
激活剂抑制剂模型的扩散率估计：肌动蛋白细胞骨架的细胞内动力学的理论和应用
Diffusivity Estimation for Activator-Inhibitor Models: Theory and Application to Intracellular Dynamics of the Actin Cytoskeleton
论文作者
论文摘要
在随机反应扩散系统的数学框架中，开发了一种空间扩展激活剂抑制剂动力学建模的扩展性估计的理论。为了说明模型不确定性，我们扩展了[PS20]中开发的半连接随机部分偏微分方程的参数估计的结果，以解决扩散率和参数化反应项的关节估计问题。我们的理论发现应用于模型生物体distyostelium discoideum中造成肌动蛋白细胞骨架的细胞内动力学的信号传导分量的有效扩散的估计。
A theory for diffusivity estimation for spatially extended activator-inhibitor dynamics modelling 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 [PS20], 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.
