Colored Correlated Noises in Growth Model of Tumor

TL;DR

This paper explores how correlated external noises influence tumor growth dynamics, using stochastic models to understand how environmental factors and treatments affect tumor cell populations.

Contribution

It introduces a growth model incorporating correlated additive and multiplicative noises to analyze tumor adaptability and control mechanisms.

Findings

Tumor cell number can be modulated by noise correlation and intensity.

The Fokker-Planck equation describes tumor cell probability distribution.

Correlation of noises impacts tumor growth behavior.

Abstract

Stochastic resonance induced by external factor is considering to investigate the complex dynamics of tumor. The surrounding environment and the treatment effects on the tumor growth are considered as additive and multiplicative noises in growth model. The adaptability of tumor to treatment is presented by correlation of these two noises. The Fokker-Plank equation is deduced to study the probability distribution function and mean number of tumor cells in different conditions. The mean number of tumor cells can be controlled by the correlation and intensity of noises.