As a concrete setting where stochastic partial differential equations (SPDEs) are able to
model real phenomena, we propose a stochastic Meinhardt model for cell repolarization and …

Parameter estimation for a parabolic linear stochastic partial differential equation in one
space dimension is studied observing the solution field on a discrete grid in a fixed bounded …

Optimal parameter estimation for linear SPDEs from multiple measurements Page 1 The Annals of
Statistics 2024, Vol. 52, No. 4, 1307–1333 https://doi.org/10.1214/24-AOS2364 © Institute of …

Estimation for the reaction term in semi-linear SPDEs under small diffusivity Page 1 Bernoulli
29(4), 2023, 3033–3058 https://doi.org/10.3150/22-BEJ1573 Estimation for the reaction term in …

Nonparametric estimation for semilinear SPDEs, namely stochastic reaction–diffusion
equations in one space dimension, is studied. We consider observations of the solution field …

A theory for diffusivity estimation for spatially extended activator–inhibitor dynamics
modeling the evolution of intracellular signaling networks is developed in the mathematical …

We investigate pointwise estimation of the function-valued velocity field of a second-order
linear SPDE. Based on multiple spatially localised measurements, we construct a weighted …

The non-parametric estimation of a non-linear reaction term in a semi-linear parabolic
stochastic partial differential equation (SPDE) is discussed. The estimation error can be …

We develop a statistical toolbox for a quantitative model evaluation of stochastic reaction-
diffusion systems modeling space-time evolution of biophysical quantities on the …

For the stochastic heat equation with multiplicative noise we consider the problem of
estimating the diffusivity parameter in front of the Laplace operator. Based on local …