UPM Institutional Repository

Effect of tumor microenvironmental factors on tumor growth dynamics modeled by correlated colored noises with colored cross-correlation


Citation

Idris, Ibrahim Mu'awiyya and Abu Bakar, Mohd Rizam (2016) Effect of tumor microenvironmental factors on tumor growth dynamics modeled by correlated colored noises with colored cross-correlation. Physica A: Statistical Mechanics and its Applications, 453. pp. 298-304. ISSN 0378-4371; ESSN: 1873-2119

Abstract

The effect of non-immunogenic tumor microenvironmental factors on tumor growth dynamics modeled by correlated additive and multiplicative colored noises is investigated. Using the Novikov theorem, Fox approach and Ansatz of Hanggi, an approximate Fokker-Planck equation for the system is obtained and analytic expression for the steady state distribution Pst(x) is derived. Based on the numerical results, we find that fluctuations of microenvironmental factors within the tumor site with parameter θ have a diffusive effect on the tumor growth dynamics, and the tumor response to the microenvironmental factors with parameter α inhibits growth at weak correlation time τ. Moreover, at increasing correlation time τ the inhibitive effect of tumor response α is suppressed and instead a systematic growth promotion is noticed. The result also reveals that the strength of the correlation time τ has a strong influence on the growth effects exerted by the non-immunogenic component of tumor microenvironment on tumor growth.


Download File

[img]
Preview
PDF (Abstract)
43182.pdf

Download (48kB) | Preview

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1016/j.physa.2016.01.082
Publisher: Elsevier
Keywords: Langevin equation; Fokker–Planck equation; Colored noise; Tumor growth dynamics
Depositing User: Nabilah Mustapa
Date Deposited: 18 May 2016 03:28
Last Modified: 18 May 2016 03:28
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.physa.2016.01.082
URI: http://psasir.upm.edu.my/id/eprint/43182
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item