The effects of environmental disturbances on tumor growth

TL;DR

This paper analytically examines how environmental disturbances modeled as white noise influence tumor growth, highlighting the dominant role of predation rate in this process.

Contribution

It derives explicit steady-state probability distributions for tumor cells under stochastic influences and analyzes the impact of uncorrelated white noises.

Findings

Predation rate significantly affects noise impact on tumor growth.

White noise can either promote or inhibit tumor growth depending on parameters.

Analytic expressions for tumor cell distribution under stochastic disturbances are provided.

Abstract

In this study, the analytic expressions of the steady probability distribution of tumor cells were established based on the steady state solution to the corresponding Fokker-Planck equation. Then, the effects of two uncorrelated white noises on tumor cell growth were investigated. It was found that the predation rate plays the main role in determining whether or not the noise is favorable for tumor growth.