Most probable dynamics of the tumor growth model with immune surveillance under cross-correlated noises

Ping Han, Wei Xu, Liang Wang, Hongxia Zhang and Shichao Ma

Physica A: Statistical Mechanics and its Applications, 2020, vol. 547, issue C

Abstract: The noise is inherent and indispensable in the tumor growth system. Therefore, the behavior of the tumor system will display randomness. Different from the traditional analysis method (such as the mean value, variance etc.), the literature presents another deterministic tool, i.e. the most probable trajectories, which are defined by computing the spatial maximizers of the probability density function. Here we will investigate the tumor cell growth system with immune surveillance under correlated white noises from a deterministic point of view. Then the most probable extinction time is defined by the time when the most probable trajectories first escape to the extinction state from the tumor state. Afterward, the probability ratio of extinction state versus tumor state characterizes treatment effects. From the numerical simulation, we derive that for the increasing cross-correlation intensity of noises, the most probable extinction time is enhanced, and the therapeutic effect is weaken and conversely for the intensity of multiplicative noise. In contrast, there exists a critical intensity of additive noise at which the most probable extinction time is the smallest. Meanwhile treatment effects would be improved with the shrinking intensity of additive noise.

Keywords: Stochastic tumor growth system; Correlated white noises; The most probable trajectories; The most probable extinction time (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119321314
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

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:phsmap:v:547:y:2020:i:c:s0378437119321314

DOI: 10.1016/j.physa.2019.123833

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().