Effect of tumor microenvironmental factors on the stability of tumor growth dynamics with nonzero correlation time
The effect of tumor microenvironmental factors on tumor growth dynamics modeled by multiplicative colored noise is investigated. Using the Novikov theorem and Fox approach, an approximate Fokker--Planck equation for the non-Markovian stochastic equation is obtained and an analytic expression for the...
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| Format: | Conference or Workshop Item |
| Language: | English |
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Springer
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/60417/ http://psasir.upm.edu.my/id/eprint/60417/1/Effect%20of%20tumor%20microenvironmental%20factors%20on%20the%20stability%20of%20tumor%20growth%20dynamics%20with%20nonzero%20correlation%20time.pdf |
| _version_ | 1848854189909737472 |
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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 tumor microenvironmental factors on tumor growth dynamics modeled by multiplicative colored noise is investigated. Using the Novikov theorem and Fox approach, an approximate Fokker--Planck equation for the non-Markovian stochastic equation is obtained and an analytic expression for the steady-state probability distribution Pst(x) is derived. We found that the strength of the microenvironmental factors θ have a negative effect on the stability of tumor growth at weak correlation time τ and at strong correlation time, the effect of θ is opposed and instead a positive growth stability is noticed for the tumor growth dynamics which in other words corresponds to growth effect. The result indicated that the growth effect exerted by the non-immunogenic components of tumor microenvironmental depend on the strength of the correlation time τ. |
| first_indexed | 2025-11-15T11:05:55Z |
| format | Conference or Workshop Item |
| id | upm-60417 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:05:55Z |
| publishDate | 2015 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-604172018-05-21T03:33:18Z http://psasir.upm.edu.my/id/eprint/60417/ Effect of tumor microenvironmental factors on the stability of tumor growth dynamics with nonzero correlation time Idris, Ibrahim Mu'awiyya Abu Bakar, Mohd Rizam The effect of tumor microenvironmental factors on tumor growth dynamics modeled by multiplicative colored noise is investigated. Using the Novikov theorem and Fox approach, an approximate Fokker--Planck equation for the non-Markovian stochastic equation is obtained and an analytic expression for the steady-state probability distribution Pst(x) is derived. We found that the strength of the microenvironmental factors θ have a negative effect on the stability of tumor growth at weak correlation time τ and at strong correlation time, the effect of θ is opposed and instead a positive growth stability is noticed for the tumor growth dynamics which in other words corresponds to growth effect. The result indicated that the growth effect exerted by the non-immunogenic components of tumor microenvironmental depend on the strength of the correlation time τ. Springer 2015 Conference or Workshop Item PeerReviewed text en http://psasir.upm.edu.my/id/eprint/60417/1/Effect%20of%20tumor%20microenvironmental%20factors%20on%20the%20stability%20of%20tumor%20growth%20dynamics%20with%20nonzero%20correlation%20time.pdf Idris, Ibrahim Mu'awiyya and Abu Bakar, Mohd Rizam (2015) Effect of tumor microenvironmental factors on the stability of tumor growth dynamics with nonzero correlation time. In: 2nd International Conference on Computing, Mathematics and Statistics (iCMS 2015), 4-5 Nov. 2015, Langkawi, Kedah. (pp. 137-144). 10.1007/978-981-10-2772-7_14 |
| spellingShingle | Idris, Ibrahim Mu'awiyya Abu Bakar, Mohd Rizam Effect of tumor microenvironmental factors on the stability of tumor growth dynamics with nonzero correlation time |
| title | Effect of tumor microenvironmental factors on the stability of tumor growth dynamics with nonzero correlation time |
| title_full | Effect of tumor microenvironmental factors on the stability of tumor growth dynamics with nonzero correlation time |
| title_fullStr | Effect of tumor microenvironmental factors on the stability of tumor growth dynamics with nonzero correlation time |
| title_full_unstemmed | Effect of tumor microenvironmental factors on the stability of tumor growth dynamics with nonzero correlation time |
| title_short | Effect of tumor microenvironmental factors on the stability of tumor growth dynamics with nonzero correlation time |
| title_sort | effect of tumor microenvironmental factors on the stability of tumor growth dynamics with nonzero correlation time |
| url | http://psasir.upm.edu.my/id/eprint/60417/ http://psasir.upm.edu.my/id/eprint/60417/ http://psasir.upm.edu.my/id/eprint/60417/1/Effect%20of%20tumor%20microenvironmental%20factors%20on%20the%20stability%20of%20tumor%20growth%20dynamics%20with%20nonzero%20correlation%20time.pdf |