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Colored Correlated Noises in Growth Model of Tumor

2014/11/16 by Najmeh Mirian, Mirian, Najmeh Sadat
Biochemistry, Genetics and Molecular Biology · Mathematics · #Biological Physics (physics.bio-ph) #Cell Behavior (q-bio.CB) #FOS: Biological sciences #FOS: Physical sciences #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.1411.4242

openalex publication_date 2014/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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