Survival analysis for tumor cells in stochastic switching environment

Dongxi Li and Yue Zhao

Applied Mathematics and Computation, 2019, vol. 357, issue C, 199-205

Abstract: In this paper, a competition model between tumor cells and immune system with random switching environment is proposed and investigated. The stochastic switching environment is assumed to be telegraph noise expressed as multi-state Markov chain. The theoretical threshold for extinction and persistence of tumor cells are obtained. Besides, stochastic simulations are performed to substantiate and interpret the conclusions. It is found that stochastic switching environment plays an important part in the process of tumor evolution. The simple model proposed in our paper is conducive to understand the theoretical mechanism between tumor cells and immune system under random environment.

Keywords: Tumor; Stochastic switching environment; Telegraph noise; Extinction (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300319302863
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:357:y:2019:i:c:p:199-205

DOI: 10.1016/j.amc.2019.04.010

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().