IJPAM: Volume 103, No. 3 (2015)

EFFECT OF INTERNAL MICRO ENVIRONMENTAL
FLUCTUATIONS ON TUMOR GROWTH DYNAMICS

Ibrahim Mu'awiyya Idris$^1$, Mohd Rizam Abu Bakar$^2$
$^{1,2}$Department of Mathematics
University Putra Malaysia
MALAYSIA


Abstract. The effect of internal micro environmental fluctuations on tumor growth dynamics modeled by additive white Gaussian noise is investigated. The logistic growth law is considered as the deterministic evolution equation for tumor growth and the steady-state probability distribution is derived within the context of Fokker-Planck equation. We study the influence of micro environmental fluctuations on the steady state dynamics of tumor growth and found out that, the micro environmental fluctuations modeled by additive white Gaussian noise enhances tumor growth at an uncertain threshold.

Received: April 25, 2015

AMS Subject Classification: 60

Key Words and Phrases: Langevin equation, Fokker-Planck equation, tumor growth dynamics

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DOI: 10.12732/ijpam.v103i3.8 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 103
Issue: 3
Pages: 467 - 476


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