建模NRTI和PI类药物治疗对艾滋病毒感染的动态与真实患者数据分析和优化控制策略的模型
Purnendu Sardar1, Buddhadev Ranjit1, Santosh Biswas1
1Centre for Mathematical Biology and Ecology, Department of Mathematics, Jadavpur University, 188, Raja S.C. Mallick Road, Kolkata, 700032, India.
Scientific reports
|January 7, 2026
概括
本研究介绍了HIV/AIDS治疗的分数顺序模型,表明结合核逆转录酶抑制剂 (NRTIs) 和蛋白酶抑制剂 (PI) 有效地抑制病毒载荷并增强稳定性.
科学领域:
- 数学生物学 数学生物学
- 病毒学 病毒学
- 控制理论 控制理论
背景情况:
- 艾滋病毒/艾滋病仍然是一个重大的全球健康挑战,需要创新的治疗策略.
- 现有的数学模型往往缺乏记忆效应和对外部病毒储库的明确考虑.
研究的目的:
- 开发和分析一种用于艾滋病毒/艾滋病治疗的新型分数顺序数学模型.
- 评估核逆转录酶抑制剂 (NRTIs) 和蛋白酶抑制剂 (PI) 的联合疗效.
- 研究微积分和最佳控制对长期治疗结果的影响.
主要方法:
- 制定一个包含NRTIs和PI的小数序数学模型.
- 应用最佳控制理论和分叉分析.
- 使用真实患者数据和数值模拟的验证,使用后向前向Runge-Kutta方法.
主要成果:
- 该模型表明,与NRTI和PI结合治疗有效抑制病毒复制并增强系统稳定性.
- 分数顺序衍生品显著影响振荡行为和长期稳定性.
- 最佳的控制策略是为了改善CD4+T细胞计数和减少病毒载量而推导出来的.
结论:
- 分数顺序建模为了解艾滋病毒动态和优化组合治疗提供了强大的框架.
- 在减轻病毒载量和实现疾病控制方面,NRTI和PI起着至关重要的作用.
- 这项研究证实了先进的数学建模在艾滋病毒/艾滋病研究中的实际应用.
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