Probabilistic approach to a proliferation and migration dichotomy in the tumor cell invasion
Cell Behavior
2009-11-13 v2 Populations and Evolution
Abstract
The proliferation and migration dichotomy of the tumor cell invasion is examined within a two-component continuous time random walk (CTRW) model. The balance equations for the cancer cells of two phenotypes with random switching between cell proliferation and migration are derived. The transport of tumor cells is formulated in terms of the CTRW with an arbitrary waiting time distribution law, while proliferation is modelled by a logistic growth. The overall rate of tumor cell invasion for normal diffusion and subdiffusion is determined.
Keywords
Cite
@article{arxiv.0711.1304,
title = {Probabilistic approach to a proliferation and migration dichotomy in the tumor cell invasion},
author = {Sergei Fedotov and Alexander Iomin},
journal= {arXiv preprint arXiv:0711.1304},
year = {2009}
}
Comments
Accepted for publication as a Regular Article in Physical Review E