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Effect of non-immunogenic microenvironmental factors on tumor growth dynamics modeled by correlated noises in the presence of immune response


Citation

Idris, Ibrahim Mu'awiyya and Abu Bakar, Mohd Rizam (2016) Effect of non-immunogenic microenvironmental factors on tumor growth dynamics modeled by correlated noises in the presence of immune response. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-7).

Abstract

The steady state properties for the effect of non-immunogenic microenvironmental factors on tumor growth dynamics in the presence of immune response is investigated. The corresponding Fokker-Planck equation to the Langevin model equation interpreted in the sense of Stratonovich is used to derive the steady state distribution ρst (x) and the mean 〈x〉st of the tumor growth system. We find that the correlation strength ϕ stimulates the effect of the non-immunogenic microenvironmental factors σ on the tumor growth dynamics, and the tumor response M to the non-immunogenic microenvironmental factors within the tumor site may inhibits tumor growth, but not sufficient enough to cause extinction. Moreover, the result also indicates that the stronger the immune response λ the more the tumor population disappears.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1063/1.4952510
Publisher: AIP Publishing
Keywords: Tumor growth dynamics; Immune response; Non-immunogenic microenvironmental factors
Depositing User: Nabilah Mustapa
Date Deposited: 08 Sep 2017 09:41
Last Modified: 08 Sep 2017 09:41
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4952510
URI: http://psasir.upm.edu.my/id/eprint/57178
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