Steady state analysis for the effect of tumor microenvironmental factors on tumor growth dynamics driven by correlated noises
The steady state analysis for the effect of non-immunogenic tumor microenvironmental factors modeled by correlated additive and multi- plicative noises with zero correlation time is investigated. The underlying transition probability for the stochastic model equation satisfies the Markovian Fokker-P...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hikari
2016
|
| Subjects: | |
| Online Access: | http://psasir.upm.edu.my/id/eprint/53891/ http://psasir.upm.edu.my/id/eprint/53891/1/Steady%20state%20analysis%20for%20the%20effect%20of%20tumor%20microenvironmental.pdf |
| _version_ | 1848852403335462912 |
|---|---|
| author | Abu Bakar, Mohd Rizam Idris, Ibrahim Mu’awiyya |
| author_facet | Abu Bakar, Mohd Rizam Idris, Ibrahim Mu’awiyya |
| author_sort | Abu Bakar, Mohd Rizam |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The steady state analysis for the effect of non-immunogenic tumor microenvironmental factors modeled by correlated additive and multi- plicative noises with zero correlation time is investigated. The underlying transition probability for the stochastic model equation satisfies the Markovian Fokker-Planck equation, and the steady state distribution ρst(x) for the tumor growth system is derived. Based on the numerical computation, we find that the effect of non-immunogenic microenviron-mental factors within the tumor site with strength θ have a diffusive effect on the steady state distribution ρst(x), and the tumor response to the surrounding non-immunogenic microenvironmental factors effects with strength D inhibits growth on both the steady state distribution ρst (x) and the mean〈x〉st of the tumor population. The result also indicates that the stronger the correlation strength φ, the more the tumor responded to the surrounding non-immunogenic microenviron- mental factors effect. |
| first_indexed | 2025-11-15T10:37:31Z |
| format | Article |
| id | upm-53891 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:37:31Z |
| publishDate | 2016 |
| publisher | Hikari |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-538912018-02-20T08:26:43Z http://psasir.upm.edu.my/id/eprint/53891/ Steady state analysis for the effect of tumor microenvironmental factors on tumor growth dynamics driven by correlated noises Abu Bakar, Mohd Rizam Idris, Ibrahim Mu’awiyya The steady state analysis for the effect of non-immunogenic tumor microenvironmental factors modeled by correlated additive and multi- plicative noises with zero correlation time is investigated. The underlying transition probability for the stochastic model equation satisfies the Markovian Fokker-Planck equation, and the steady state distribution ρst(x) for the tumor growth system is derived. Based on the numerical computation, we find that the effect of non-immunogenic microenviron-mental factors within the tumor site with strength θ have a diffusive effect on the steady state distribution ρst(x), and the tumor response to the surrounding non-immunogenic microenvironmental factors effects with strength D inhibits growth on both the steady state distribution ρst (x) and the mean〈x〉st of the tumor population. The result also indicates that the stronger the correlation strength φ, the more the tumor responded to the surrounding non-immunogenic microenviron- mental factors effect. Hikari 2016 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/53891/1/Steady%20state%20analysis%20for%20the%20effect%20of%20tumor%20microenvironmental.pdf Abu Bakar, Mohd Rizam and Idris, Ibrahim Mu’awiyya (2016) Steady state analysis for the effect of tumor microenvironmental factors on tumor growth dynamics driven by correlated noises. Applied Mathematical Sciences, 10 (31). 1525 - 1535. ISSN 1312-885X; ESSN: 1314-7552 http://www.m-hikari.com/ams/ams-2016/ams-29-32-2016/index.html Langevin equation; Fokker-Planck equation; Gaussian white noise; Tumor growth dynamics 10.12988/ams.2016.6257 |
| spellingShingle | Langevin equation; Fokker-Planck equation; Gaussian white noise; Tumor growth dynamics Abu Bakar, Mohd Rizam Idris, Ibrahim Mu’awiyya Steady state analysis for the effect of tumor microenvironmental factors on tumor growth dynamics driven by correlated noises |
| title | Steady state analysis for the effect of tumor microenvironmental factors on tumor growth dynamics driven by correlated noises |
| title_full | Steady state analysis for the effect of tumor microenvironmental factors on tumor growth dynamics driven by correlated noises |
| title_fullStr | Steady state analysis for the effect of tumor microenvironmental factors on tumor growth dynamics driven by correlated noises |
| title_full_unstemmed | Steady state analysis for the effect of tumor microenvironmental factors on tumor growth dynamics driven by correlated noises |
| title_short | Steady state analysis for the effect of tumor microenvironmental factors on tumor growth dynamics driven by correlated noises |
| title_sort | steady state analysis for the effect of tumor microenvironmental factors on tumor growth dynamics driven by correlated noises |
| topic | Langevin equation; Fokker-Planck equation; Gaussian white noise; Tumor growth dynamics |
| url | http://psasir.upm.edu.my/id/eprint/53891/ http://psasir.upm.edu.my/id/eprint/53891/ http://psasir.upm.edu.my/id/eprint/53891/ http://psasir.upm.edu.my/id/eprint/53891/1/Steady%20state%20analysis%20for%20the%20effect%20of%20tumor%20microenvironmental.pdf |