在联合抗逆转录病毒疗法下,对HIV-1感染动态的随机建模和最佳控制
Yiping Tan1,2, Suli Liu3, Yongli Cai4
1School of Mathematics and Statistics, Huaiyin Normal University, 223300, Huaian, PR China.
Bulletin of mathematical biology
|January 13, 2026
概括
这项研究引入了HIV-1感染动态的新数学模型,将环境噪音纳入分析病毒清除和持久性. 综合治疗策略对快速病毒抑制和成本有效的HIV-1管理有显著的前景.
科学领域:
- 传染病的数学建模 传染病的数学建模
- 随机微分方程 随机微分方程
- 流行病学和公共卫生.
背景情况:
- 人类免疫缺陷病毒1型 (HIV-1) 感染仍然是一个关键的全球卫生问题,通过当前的联合抗逆转录病毒疗法 (cART) 尚未实现完整的病毒根除.
- 了解HIV-1感染的复杂动态对于开发更有效的治疗策略至关重要.
- 环境因素及其对病毒动态的影响需要进一步调查.
研究的目的:
- 为HIV-1感染动态开发一种新的随机微分方程 (SDE) 模型,将环境噪声纳入其中.
- 通过数学推导出随机的基本繁殖数 (Rs),并分析病毒清除或持续性的值动态.
- 评估不同干预策略的有效性,包括cART增强,免疫调节和综合方法,使用最佳控制理论.
主要方法:
- 为HIV-1感染开发一个随机微分方程 (SDE) 模型.
- 随机基本复制数 (Rs) 的数学推导和值动态的分析.
- 应用最佳控制理论来评估HIV-1管理的三个不同的干预策略.
主要成果:
- 衍生的随机基本复制数 (Rs) 预测了当Rs<1时的病毒清除和当Rs>1时的随机持久性.
- 环境噪音显著影响HIV-1感染动态,突出其在建模中的重要性.
- 综合干预策略 (策略3) 将cART增强与免疫调节相结合,在实现快速病毒抑制方面表现出卓越的表现.
- 综合策略即使在成本限制下也被证明是有效的,这表明了成本高效的HIV-1管理的潜力.
结论:
- 开发的SDE模型为理解环境噪音影响的HIV-1感染动态提供了一个新的理论框架.
- 这项研究重申了cART在HIV-1管理中的关键作用.
- 综合cART-免疫干预策略为快速病毒抑制和经济有效的治疗提供了显著的临床优势,强调了成本考虑的重要性.
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