Mathematical modeling of tumor growth as a random process in the presence of interaction between tumor cells and normal cells

Fatemeh Beigmohammadi, Mohammad Khorrami, Amir Ali Masoudi () and Amir H. Fatollahi ()
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Fatemeh Beigmohammadi: Department of Condensed Matter Physics, Faculty of Physics, Alzahra University, Tehran, Iran†Department of Mathematics and Statistics, Université de Montréal, Montréal, QC, Canada
Mohammad Khorrami: ��Department of Fundamental Physics, Faculty of Physics, Alzahra University, Tehran, Iran
Amir Ali Masoudi: Department of Condensed Matter Physics, Faculty of Physics, Alzahra University, Tehran, Iran
Amir H. Fatollahi: Department of Condensed Matter Physics, Faculty of Physics, Alzahra University, Tehran, Iran

International Journal of Modern Physics C (IJMPC), 2024, vol. 35, issue 08, 1-8

Abstract: A mathematical model of tumor growth as a random process is studied, in which there is an interaction between tumor cells and normal cells. A set of two coupled stochastic differential equations defines the dynamics of tumor cells and normal cells. The evolution contains driven growth, therapy, and Gaussian white noises terms. The corresponding Fokker–Planck equation is used to study the large-time behavior of the system. Specifically, for periodic therapy terms, the ratio of the probability of large tumor cells number to the probability of small tumor cells number is investigated. It is seen that increasing the interaction between the tumor cells and normal cells decreases this ratio.

Keywords: Langevin equation; tumor random growth; Fokker–Planck equation (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S012918312450102X

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