Stochastic effects of the tumor-T cell immune model
Stochastic effects of the tumor-T cell immune model
复制标题
肿瘤-T细胞免疫模型的随机效应
DOI：
10.1002/mma.7255
复制
发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Huadi Wang
中科院分区：
文献类型：
--
作者：
Jingnan Wang;Huadi Wang
为了研究环境因素对肿瘤生长和T细胞生长的影响，我们建立了由细胞毒性T细胞和辅助性T细胞组成的随机肿瘤免疫模型。利用伊藤公式和强大数定律，证明了该系统存在全局唯一正解，并得到了肿瘤细胞和T细胞灭绝和弱持续生存的充分条件。此外，根据我们得到的理论结果，我们进行了数值模拟，表明不同的噪声强度会导致肿瘤细胞、细胞毒性T细胞和辅助T细胞处于不同的状态，包括消退和弱持续，这对于预防和控制肿瘤的恶化和解释临床医学中的肿瘤逃逸现象是有用的。
To investigate the effects of environmental factors on the tumor growth and the T cell growth,we establish a stochastic tumor-immune model consisting of cytotoxic T cells and helper T cells. By using the Itô formula and the strong law of large numbers, we prove the existence of globally unique positive solution and obtain the sufficient conditions of the extinction and the weak persistence of tumor cells and T cells. Moreover, according to our obtained theoretical results, we perform some numerical simulations to show that different noise intensities lead to different states of tumor cells, cytotoxic T cells and helper T cells, including extinction and weak persistence, which can be useful for the prevention and control of tumor deterioration and for explaining tumor escape phenomena of clinical medicine.