Class of self-limiting growth models in the presence of nonlinear diffusion
Biological Physics
2009-11-07 v1 Pattern Formation and Solitons
q-bio
Abstract
The source term in a reaction-diffusion system, in general, does not involve explicit time dependence. A class of self-limiting growth models dealing with animal and tumor growth and bacterial population in a culture, on the other hand are described by kinetics with explicit functions of time. We analyze a reaction-diffusion system to study the propagation of spatial front for these models.
Keywords
Cite
@article{arxiv.physics/0203092,
title = {Class of self-limiting growth models in the presence of nonlinear diffusion},
author = {Sandip Kar and Suman Kumar Banik and Deb Shankar Ray},
journal= {arXiv preprint arXiv:physics/0203092},
year = {2009}
}
Comments
RevTex, 13 pages, 5 figures. To appear in Physical Review E