期刊
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
卷 500, 期 -, 页码 162-176出版社
ELSEVIER
DOI: 10.1016/j.physa.2018.02.118
关键词
Chemotherapy; Deterministic model; Stochastic model; Tumor
资金
- National Natural Science Fund of China [71420107023, 71771024, 11701557, 71601019]
- Training Fund for Talents of Beijing, China [2015000020124G044]
- Fund of China Scholarship Council, China [201506465053]
- Fundamental Research Funds for the Central Universities, China [FRE-BR-17-008A]
Modem medical studies show that chemotherapy can help most cancer patients, especially for those diagnosed early, to stabilize their disease conditions from months to years, which means the population of tumor cells remained nearly unchanged in quite a long time after fighting against immune system and drugs. In order to better understand the dynamics of tumor-immune responses under chemotherapy, deterministic and stochastic differential equation models are constructed to characterize the dynamical change of tumor cells and immune cells in this paper. The basic dynamical properties, such as boundedness, existence and stability of equilibrium points, are investigated in the deterministic model. Extended stochastic models include stochastic differential equations (SDEs) model and continuous-time Markov chain (CTMC) model, which accounts for the variability in cellular reproduction, growth and death, interspecific competitions, and immune response to chemotherapy. The CTMC model is harnessed to estimate the extinction probability of tumor cells. Numerical simulations are performed, which confirms the obtained theoretical results. (C) 2018 Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据