Effect of non-immunogenic microenvironmental factors on tumor growth dynamics modeled by correlated noises in the presence of immune response
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...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57178/ http://psasir.upm.edu.my/id/eprint/57178/1/Effect%20of%20non-immunogenic%20microenvironmental%20factors%20on%20tumor%20growth%20dynamics%20modeled%20by%20correlated%20noises%20in%20the%20presence%20of%20immune%20response.pdf |
| _version_ | 1848853292703023104 |
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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 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. |
| first_indexed | 2025-11-15T10:51:39Z |
| format | Conference or Workshop Item |
| id | upm-57178 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:51:39Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-571782017-09-08T09:41:26Z http://psasir.upm.edu.my/id/eprint/57178/ Effect of non-immunogenic microenvironmental factors on tumor growth dynamics modeled by correlated noises in the presence of immune response Idris, Ibrahim Mu'awiyya Abu Bakar, Mohd Rizam 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. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57178/1/Effect%20of%20non-immunogenic%20microenvironmental%20factors%20on%20tumor%20growth%20dynamics%20modeled%20by%20correlated%20noises%20in%20the%20presence%20of%20immune%20response.pdf 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). http://aip.scitation.org/doi/abs/10.1063/1.4952510 10.1063/1.4952510 |
| spellingShingle | Idris, Ibrahim Mu'awiyya Abu Bakar, Mohd Rizam Effect of non-immunogenic microenvironmental factors on tumor growth dynamics modeled by correlated noises in the presence of immune response |
| title | Effect of non-immunogenic microenvironmental factors on tumor growth dynamics modeled by correlated noises in the presence of immune response |
| title_full | Effect of non-immunogenic microenvironmental factors on tumor growth dynamics modeled by correlated noises in the presence of immune response |
| title_fullStr | Effect of non-immunogenic microenvironmental factors on tumor growth dynamics modeled by correlated noises in the presence of immune response |
| title_full_unstemmed | Effect of non-immunogenic microenvironmental factors on tumor growth dynamics modeled by correlated noises in the presence of immune response |
| title_short | Effect of non-immunogenic microenvironmental factors on tumor growth dynamics modeled by correlated noises in the presence of immune response |
| title_sort | effect of non-immunogenic microenvironmental factors on tumor growth dynamics modeled by correlated noises in the presence of immune response |
| url | http://psasir.upm.edu.my/id/eprint/57178/ http://psasir.upm.edu.my/id/eprint/57178/ http://psasir.upm.edu.my/id/eprint/57178/ http://psasir.upm.edu.my/id/eprint/57178/1/Effect%20of%20non-immunogenic%20microenvironmental%20factors%20on%20tumor%20growth%20dynamics%20modeled%20by%20correlated%20noises%20in%20the%20presence%20of%20immune%20response.pdf |