TY  - JOUR
A1  - Pasemann, Gregor
A1  - Flemming, Sven
A1  - Alonso, Sergio
A1  - Beta, Carsten
A1  - Stannat, Wilhelm
T1  - Diffusivity estimation for activator-inhibitor models
BT  - theory and application to intracellular dynamics of the actin cytoskeleton
JF  - Journal of nonlinear science
N2  - 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.
KW  - Parametric drift estimation
KW  - Stochastic reaction– diffusion
KW  - systems
KW  - Maximum likelihood estimation
KW  - Actin cytoskeleton dynamics
Y1  - 2021
U6  - https://doi.org/10.1007/s00332-021-09714-4
SN  - 0938-8974
SN  - 1432-1467
VL  - 31
IS  - 3
PB  - Springer
CY  - New York
ER  -