Most probable dynamics of the tumor growth model with immune surveillance under cross-correlated noises
Most probable dynamics of the tumor growth model with immune surveillance under cross-correlated noises
复制标题
交叉相关噪声下具有免疫监视的肿瘤生长模型的最可能动态
DOI：
10.1016/j.physa.2019.123833
复制
发表时间：
2020-06-01
影响因子：
3.3
通讯作者：
Ma, Shichao
中科院分区：
文献类型：
--
作者：
Han, Ping;Xu, Wei;Ma, Shichao
噪声是肿瘤生长系统中固有的、不可或缺的。因此，肿瘤系统的行为会表现出随机性。不同于传统的分析方法(如均值、方差等)，文献提出了另一种确定性工具，即最可能轨迹，它是通过计算概率密度函数的空间极大值来定义的。在这里，我们将从确定性的角度研究相关白噪声下具有免疫监视的肿瘤细胞生长系统。然后，最可能的消退时间由最可能的轨迹首次从肿瘤状态逃逸到消退状态的时间来定义。然后，消退状态与肿瘤状态的概率比表征治疗效果。数值模拟结果表明，噪声的互相关强度越大，最可几消光时间越长，治疗效果越差，乘性噪声的强度越大，治疗效果越差。相反，存在一个临界强度的加性噪声，在这个临界点上最可能的消光时间是最小的。同时，加性噪声强度越小，处理效果越好。(C)2019爱思唯尔B.V.保留所有权利。
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. (C) 2019 Elsevier B.V. All rights reserved.