Modeling and Analyzing Homogeneous Tumor Growth under Virotherapy
Modeling and Analyzing Homogeneous Tumor Growth under Virotherapy
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DOI：
10.3390/math11020360
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发表时间：
2023-01
期刊：
影响因子：
2.4
通讯作者：
Chayu Yang;Jin Wang
中科院分区：
文献类型：
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作者：
Chayu Yang;Jin Wang
我们提出了一个基于常微分方程的数学模型来研究病毒治疗下肿瘤生长的空间均匀状态。该模型强调肿瘤细胞，溶瘤病毒和宿主免疫系统之间的相互作用，产生先天性和适应性免疫反应。我们进行严格的平衡分析并推导出确定各种情况下肿瘤生长或衰退的阈值条件。数值模拟结果验证了我们的分析预测，并提供了额外的洞察肿瘤生长动力学。
We present a mathematical model based on ordinary differential equations to investigate the spatially homogeneous state of tumor growth under virotherapy. The model emphasizes the interaction among the tumor cells, the oncolytic viruses, and the host immune system that generates both innate and adaptive immune responses. We conduct a rigorous equilibrium analysis and derive threshold conditions that determine the growth or decay of the tumor under various scenarios. Numerical simulation results verify our analytical predictions and provide additional insight into the tumor growth dynamics.