Citation
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).
Abstract
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.
Download File
![[img]](http://psasir.upm.edu.my/60417/1.hassmallThumbnailVersion/Effect%20of%20tumor%20microenvironmental%20factors%20on%20the%20stability%20of%20tumor%20growth%20dynamics%20with%20nonzero%20correlation%20time.pdf)  Preview |
|
Text (Abstract)
Effect of tumor microenvironmental factors on the stability of tumor growth dynamics with nonzero correlation time.pdf
Download (49kB)
| Preview
|
|
Additional Metadata
Actions (login required)
 |
View Item |
