Parameter Estimation in an SPDE Model for Cell Repolarisation
Statistics Theory
2021-08-17 v2 Quantitative Methods
Statistics Theory
Abstract
As a concrete setting where stochastic partial differential equations (SPDEs) are able to model real phenomena, we propose a stochastic Meinhardt model for cell repolarisation and study how parameter estimation techniques developed for simple linear SPDE models apply in this situation. We establish the existence of mild SPDE solutions and we investigate the impact of the driving noise process on pattern formation in the solution. We then pursue estimation of the diffusion term and show asymptotic normality for our estimator as the space resolution becomes finer. The finite sample performance is investigated for synthetic and real data.
Cite
@article{arxiv.2010.06340,
title = {Parameter Estimation in an SPDE Model for Cell Repolarisation},
author = {Randolf Altmeyer and Till Bretschneider and Josef Janák and Markus Reiß},
journal= {arXiv preprint arXiv:2010.06340},
year = {2021}
}
Comments
Revised and corrected version