Mesoscopic Modeling of Random Walk and Reactions in Crowded Media
Subcellular Processes
2018-09-19 v2 Numerical Analysis
Computational Physics
Abstract
We develop a mesoscopic modeling framework for diffusion in a crowded environment, particularly targeting applications in the modeling of living cells. Through homogenization techniques we effectively coarse-grain a detailed microscopic description into a previously developed internal state diffusive framework. The observables in the mesoscopic model correspond to solutions of macroscopic partial differential equations driven by stochastically varying diffusion fields in space and time. Analytical solutions and numerical experiments illustrate the framework.
Keywords
Cite
@article{arxiv.1707.05998,
title = {Mesoscopic Modeling of Random Walk and Reactions in Crowded Media},
author = {Stefan Engblom and Per Lötstedt and Lina Meinecke},
journal= {arXiv preprint arXiv:1707.05998},
year = {2018}
}