Chen, Lin, Yang, Jin, Tan, Yuanshun, Liu, Zijian and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2021) Threshold dynamics of a stochastic model of intermittent androgen deprivation therapy for prostate cancer. Communications in Nonlinear Science and Numerical Simulation, 100:105856. ISSN 1007-5704 (doi:https://doi.org/10.1016/j.cnsns.2021.105856)

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Abstract

Intermittent androgen deprivation therapy is often used to treat prostate cancer, but there are few mathematical modelling studies of it. To explore the mechanisms of such therapy, we describe intermittent therapy with impulsive differential equations, then we propose a novel mathematical model of intermittent androgen deprivation therapy with white noise. We first studied the model’s basic properties including the existence and uniqueness of the solution. By using the theory of stochastic differential equations, we investigated the thresholds for the extinction and persistence of prostate cancer cells, which are markedly affected by antigenicity of tumours and noise parameters. Moreover, sufficient conditions for the stationary distribution and ergodicity of the system are provided. The results show that reducing the period of pulsed interventions or increasing the dosages (or frequencies) of the therapy will be helpful for curing prostate cancer.

Item Type:	Article
Uncontrolled Keywords:	Prostate cancer, Stochastic dynamical model, Threshold dynamics, Stationary distribution
Subjects:	S Agriculture > S Agriculture (General)
Faculty / School / Research Centre / Research Group:	Faculty of Engineering & Science Faculty of Engineering & Science > Natural Resources Institute Faculty of Engineering & Science > Natural Resources Institute > Agriculture, Health & Environment Department
Last Modified:	20 Apr 2022 01:38
URI:	http://gala.gre.ac.uk/id/eprint/32280

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