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找到霍夫分叉岛屿,并确定结性病毒疗法成功或失败的门

Sana Jahedi¹, Lin Wang², James A Yorke¹

¹Department of Mathematics, University of Maryland, College Park, MD, United States; Institute for Physical Sciences and Technology, University of Maryland, College Park, MD, United States.

Mathematical biosciences

|August 10, 2024

概括

瘤性病毒治疗的成功取决于病毒的传播和毒性. 数学建模揭示了治疗失败或成功的关键门,指导癌症治疗的最佳瘤性病毒选择.

科学领域:

数学瘤学数学瘤学
病毒学病毒学
系统生物学系统生物学

背景情况:

瘤性病毒疗法利用病毒选择性地感染和破坏癌细胞.
了解病毒,瘤细胞和免疫系统之间的复杂相互作用对于优化治疗疗效至关重要.
数学建模为探索这些动态和预测治疗结果提供了一个框架.

研究的目的:

为了确定预测治疗失败或成功的参数区域在型病毒疗法.
研究病毒水平传播率和毒性对瘤大小动态的影响.
在模型的参数空间中引入和分析"霍夫分叉岛"的概念.

主要方法:

开发一个数学模型,模拟在瘤治疗期间的癌细胞-病毒相互作用.
对模型参数的分析,包括横向传播率和病毒毒性.
在参数空间内识别关键值和分叉点.

主要成果:

确定了水平传播率的两个值:一种是治疗失败的,一种是治疗成功的 (100%的感染患病率).
最佳的瘤性病毒毒性取决于病毒动态的时间尺度;更高的毒性有利于快速的病毒动态,但可以导致慢动态的振荡.
引入了"霍夫分支岛"概念,展示了缓慢增长的振荡解决方案的潜力.

结论:

在型病毒治疗中,治疗结果对病毒传播率和病毒性非常敏感.
瘤性病毒毒性的最佳选择取决于上下文,特别是关于病毒动态时间表.
"霍夫分叉岛"概念为分析超越瘤病毒治疗的数学模型中的复杂动态提供了一个新的视角.

关键词:

霍普夫分叉的双叉方式霍夫岛是霍夫岛的一个岛屿.数学模型是一个数学模型.瘤学病毒病毒.振荡行为是振荡行为.对瘤进行控制.有毒的病毒病毒.

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