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宿主内HIV动态的分支和稳定性分析,多种感染和细胞内延迟

Surya Prakash¹, Anuj Kumar Umrao¹, Prashant K Srivastava¹

¹Department of Mathematics, Indian Institute of Technology Patna, Patna 801103, India.

Chaos (Woodbury, N.Y.)

|January 10, 2025

概括

这项研究模拟了CD4+T细胞中人类免疫缺陷病毒 (HIV) 感染动态,揭示了多种感染和细胞内延迟如何影响疾病的稳定性和进展. 数学分析显示,复杂的稳定性开关受感染率和时间延迟的影响.

科学领域:

数学生物学数学生物学
病毒学病毒学
动态系统理论动态系统理论

背景情况:

人类免疫缺陷病毒 (HIV) 通过将包膜蛋白与CD4受体结合,感染CD4+T细胞.
了解艾滋病毒复杂的感染动态,包括多种感染和细胞内延迟,对于开发有效的抗艾滋病毒/艾滋病干预措施至关重要.

研究的目的:

开发和分析HIV感染动态的数学模型,该模型包含多个CD4+T细胞感染和细胞内延迟.
调查无病和特有平衡点的稳定性,并分析分叉现象.

主要方法:

为艾滋病毒感染动态开发数学模型.
对平衡点的局部和全球非对称稳定性的分析.
在自主和延迟微分方程模型中对跨临界和霍夫分叉的研究.
模拟分析使用双参数图来说明稳定性场景.

主要成果:

建立了无病和特有平衡点的局部和全球非对称稳定性的条件.
确定了前向/后向跨临界分叉和Hopf分叉的条件.
证明,多重感染率的增加通过Hopf分叉稳定了特有平衡.
揭示了三种不同的稳定场景 (不稳定性切换,稳定性切换,稳定性不变) 在存在细胞内延迟时的特有平衡状态下.

结论:

提出的数学模型成功地整合了多种感染和细胞内延迟,以捕捉复杂的HIV动态.
该研究强调了细胞内延迟和感染率对疾病稳定性和进展的重大影响,并提供了对潜在治疗点的见解.

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