Mesoscopic Modeling of Random Walk and Reactions in Crowded Media
Provides a coarse-grained modeling approach for diffusion in crowded media, relevant for biophysics and cellular modeling.
The authors develop a mesoscopic modeling framework for diffusion in crowded environments, targeting living cell applications, and validate it through analytical solutions and numerical experiments.
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.