Non-homogeneous random walks, subdiffusive migration of cells and anomalous chemotaxis
Statistical Mechanics
2013-02-21 v3 Adaptation and Self-Organizing Systems
Cell Behavior
Abstract
This paper is concerned with a non-homogeneous in space and non-local in time random walk model for anomalous subdiffusive transport of cells. Starting with a Markov model involving a structured probability density function, we derive the non-local in time master equation and fractional equation for the probability of cell position. We show the structural instability of fractional subdiffusive equation with respect to the partial variations of anomalous exponent. We find the criteria under which the anomalous aggregation of cells takes place in the semi-infinite domain.
Keywords
Cite
@article{arxiv.1209.2851,
title = {Non-homogeneous random walks, subdiffusive migration of cells and anomalous chemotaxis},
author = {S. Fedotov and A. O. Ivanov and A. Y. Zubarev},
journal= {arXiv preprint arXiv:1209.2851},
year = {2013}
}
Comments
18 pages, accepted for publication