Population growth and control in stochastic models of cancer development
Abstract
We study the joint effect of thermal bath fluctuations and an external noise tuning activity of cytotoxic cells on the triggered immune response in a growing cancerous tissue. The immune response is assumed to be primarily mediated by effector cells that develop a cytotoxic activity against the abnormal tissue. The kinetics of such a reaction is represented by an enzymatic-like Michaelis-Menten two step process. Effective free-energy surface for the process is further parametrized by the fluctuating energy barrier between the states of high and low concentration of cancerous cells. By analyzing the far from equilibrium escape problem across the fluctuating potential barrier, we determine condtions of the most efficient decay kinetics of the cancer cell-population in the presence of dichotomously fluctuating concentration of cytotoxic cells.
Keywords
Cite
@article{arxiv.q-bio/0403041,
title = {Population growth and control in stochastic models of cancer development},
author = {Anna Ochab-Marcinek and Ewa Gudowska-Nowak},
journal= {arXiv preprint arXiv:q-bio/0403041},
year = {2015}
}
Comments
Submitted to Physica A Corrected spelling errors. Title changed to more appropriate for the content. Extended Conclusions section. Added a short explanation about the meaning of parameters t_t and t_r. References collected in proper order