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Updated: Jun 10, 2025

Chronic, Acute, and Reactivated HIV Infection in Humanized Immunodeficient Mouse Models

Chronic, Acute, and Reactivated HIV Infection in Humanized Immunodeficient Mouse Models

Published on: December 3, 2019

通过反应-扩散模型研究 CD4 T 细胞中随机性对 HIV 感染动态的影响

Nauman Ahmed^1,2, Muhammad W Yasin^1,3, Syed Mansoor Ali⁴

¹Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan.

Scientific reports

|October 16, 2024

概括

本研究以数值方式研究了人类免疫缺陷病毒 (HIV) 和CD4+T细胞的反应扩散模型,在随机环境下进行药物治疗. 拟议的隐性有限差异方案显示了比后向欧勒方案更具生物学可信性和趋同的结果.

科学领域:

数学生物学数学生物学
计算流行病学计算流行病学
动态系统动态系统

背景情况:

人类免疫缺陷病毒 (HIV) 攻击免疫系统,可能会发展为获得性免疫缺陷综合征 (AIDS).
了解艾滋病毒疾病动态对于制定有效的干预措施和公共卫生战略至关重要.
随机模型对于捕捉生物系统内在的随机性,包括疾病传播和进展至关重要.

研究的目的:

为了数值地研究一种反应-扩散HIV CD4+ T细胞模型,在随机环境中结合药物治疗.
开发和分析两个新的时间效率高的数值方案:一个随机的反向欧勒 (SBE) 和一个随机的隐性有限差异 (SIFD) 方案.
评估这些方案在模拟艾滋病毒动态方面的有效性,并分析各种模型参数的影响.

主要方法:

为HIV反应-扩散模型开发随机数值方案 (SBE和SIFD).
数学分析以证明拟议方案的一致性 (在平均平方意义上) 和无条件稳定性.
数字模拟分析模型行为,参数效应,并比较SBE和SIFD方案的性能.

主要成果:

证实了SBE和SIFD计划的一致性和无条件稳定性.
该SBE方案表现出趋同的行为,但也产生了非生物负面结果.
SIFD方案表现出卓越的性能,向平衡点表现出趋同的和生物学上可信的积极行为.

结论:

随机隐性有限差异 (SIFD) 方案是模拟药物治疗的HIV反应-扩散模型的更可靠和生物学相关的数值方法.
这项研究提供了关于在随机影响下艾滋病毒疾病动态的宝贵见解,有助于制定疾病控制的知情决策.
进一步的研究可以探索更复杂的随机模型和先进的数值技术,以提高对艾滋病毒病原和治疗的理解.

关键词:

对计划的分析.拟议的 SBE 计划拟议的SIFD计划模拟是通过模拟进行的.随机的艾滋病病毒模型

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