免疫系统与癌细胞之间的随机动力学与等位基因效应和免疫治疗

IF 1.3 4区数学 Q3 BIOLOGY

Journal of Biological Systems Pub Date : 2023-07-14 DOI:10.1142/s0218339023500420

Eymard Hernández-López, M. Núñez-López, Marcos A. Capistrán

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引用次数: 0

摘要

在这项工作中，我们使用连续时间马尔可夫跳跃过程和相应的零波动常微分方程来分析免疫反应与癌细胞的关系。我们将Allee效应纳入我们的模型，以表明在低计数状态下，内在随机性和非线性可能在消除、平衡和逃逸机制中相互作用。随后，我们考虑了通过脉冲注射项和tau -跳跃算法进行免疫治疗的效果。我们使用模型状态变量和参数表明，在其阈值水平上的癌细胞群进入高抗原性值的消除阶段。

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STOCHASTIC DYNAMICS BETWEEN THE IMMUNE SYSTEM AND CANCER CELLS WITH ALLEE EFFECT AND IMMUNOTHERAPY

In this work, we use continuous-time Markov jump processes and the corresponding zero fluctuation ordinary differential equations to analyze the relation between immune response and cancerous cells. We incorporate the Allee effect into our model to show that intrinsic stochasticity and nonlinearity may interact in elimination, equilibrium, and escape mechanisms in the low-count regime. Later, we consider the effect of immunotherapy through a pulse injection term and the Tau-Leaping algorithm. We show using the model state variables and parameters that the cancer cell population at its threshold level gets into the elimination phase for high antigenicity values.

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来源期刊

Journal of Biological Systems 生物-生物学

CiteScore

2.80

自引率

12.50%

发文量

审稿时长

1 months

期刊介绍： The Journal of Biological Systems is published quarterly. The goal of the Journal is to promote interdisciplinary approaches in Biology and in Medicine, and the study of biological situations with a variety of tools, including mathematical and general systems methods. The Journal solicits original research papers and survey articles in areas that include (but are not limited to): Complex systems studies; isomorphies; nonlinear dynamics; entropy; mathematical tools and systems theories with applications in Biology and Medicine. Interdisciplinary approaches in Biology and Medicine; transfer of methods from one discipline to another; integration of biological levels, from atomic to molecular, macromolecular, cellular, and organic levels; animal biology; plant biology. Environmental studies; relationships between individuals, populations, communities and ecosystems; bioeconomics, management of renewable resources; hierarchy theory; integration of spatial and time scales. Evolutionary biology; co-evolutions; genetics and evolution; branching processes and phyllotaxis. Medical systems; physiology; cardiac modeling; computer models in Medicine; cancer research; epidemiology. Numerical simulations and computations; numerical study and analysis of biological data. Epistemology; history of science. The journal will also publish book reviews.