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.

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

References in corpus (3)

• Influence of the Barrier Shape on Resonant Activation
• Mean escape time over a fluctuating barrier
• Correlated noise induced control of prey extinction

Cited by in corpus (6)

• Co-occurrence of resonant activation and noise-enhanced stability in a model of cancer growth in the presence of immune response
• Monitoring noise-resonant effects in cancer growth influenced by external fluctuations and periodic treatment
• Inference on an heteroscedastic Gompertz tumor growth model
• A multiscale and multicriteria Generative Adversarial Network to synthesize 1-dimensional turbulent fields
• Modeling of anti-tumor immune response: immunocorrective effect of weak centimeter electromagnetic waves
• Interplay of noise induced stability and stochastic resetting