Diffusivity Estimation for Activator-Inhibitor Models: Theory and Application to Intracellular Dynamics of the Actin Cytoskeleton
Quantitative Methods
2021-05-11 v3 Numerical Analysis
Dynamical Systems
Numerical Analysis
Methodology
Abstract
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.
Keywords
Cite
@article{arxiv.2005.09421,
title = {Diffusivity Estimation for Activator-Inhibitor Models: Theory and Application to Intracellular Dynamics of the Actin Cytoskeleton},
author = {Gregor Pasemann and Sven Flemming and Sergio Alonso and Carsten Beta and Wilhelm Stannat},
journal= {arXiv preprint arXiv:2005.09421},
year = {2021}
}