Effect of tumor microenvironmental factors on tumor growth dynamics modeled by correlated colored noises with colored cross-correlation
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...
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| Format: | Article |
| Language: | English |
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Elsevier
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/43182/ http://psasir.upm.edu.my/id/eprint/43182/1/43182.pdf |
| _version_ | 1848850159762407424 |
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| author | Idris, Ibrahim Mu'awiyya Abu Bakar, Mohd Rizam |
| author_facet | Idris, Ibrahim Mu'awiyya Abu Bakar, Mohd Rizam |
| author_sort | Idris, Ibrahim Mu'awiyya |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T10:01:52Z |
| format | Article |
| id | upm-43182 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:01:52Z |
| publishDate | 2016 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-431822016-05-18T03:28:37Z http://psasir.upm.edu.my/id/eprint/43182/ Effect of tumor microenvironmental factors on tumor growth dynamics modeled by correlated colored noises with colored cross-correlation Idris, Ibrahim Mu'awiyya Abu Bakar, Mohd Rizam 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. Elsevier 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/43182/1/43182.pdf 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 http://www.sciencedirect.com/science/article/pii/S0378437116001461 10.1016/j.physa.2016.01.082 |
| spellingShingle | Idris, Ibrahim Mu'awiyya Abu Bakar, Mohd Rizam Effect of tumor microenvironmental factors on tumor growth dynamics modeled by correlated colored noises with colored cross-correlation |
| title | Effect of tumor microenvironmental factors on tumor growth dynamics modeled by correlated colored noises with colored cross-correlation |
| title_full | Effect of tumor microenvironmental factors on tumor growth dynamics modeled by correlated colored noises with colored cross-correlation |
| title_fullStr | Effect of tumor microenvironmental factors on tumor growth dynamics modeled by correlated colored noises with colored cross-correlation |
| title_full_unstemmed | Effect of tumor microenvironmental factors on tumor growth dynamics modeled by correlated colored noises with colored cross-correlation |
| title_short | Effect of tumor microenvironmental factors on tumor growth dynamics modeled by correlated colored noises with colored cross-correlation |
| title_sort | effect of tumor microenvironmental factors on tumor growth dynamics modeled by correlated colored noises with colored cross-correlation |
| url | http://psasir.upm.edu.my/id/eprint/43182/ http://psasir.upm.edu.my/id/eprint/43182/ http://psasir.upm.edu.my/id/eprint/43182/ http://psasir.upm.edu.my/id/eprint/43182/1/43182.pdf |