使用半分析方法,模拟宿主 Chikungunya 病毒与免疫系统的动态
Morufu Oyedunsi Olayiwola1, Akeem Olarewaju Yunus1, Adedapo Ismaila1
1Department of Mathematical Sciences, Faculty of Basic & Applied Sciences, Osun State University, Osogbo, Nigeria.
BMC research notes
|April 30, 2025
概括
这项研究以分数计算模式模拟了 Chikungunya 病毒 (CHIKV) 的传播,揭示了强烈的免疫反应可以在一周内清除病毒. 数学建模有助于理解CHIKV动态和潜在的治疗策略.
科学领域:
- 流行病学 流行病学
- 数学生物学 数学生物学
- 免疫学 免疫学 免疫学
背景情况:
- 奇孔古尼亚热是一种日益严重的全球健康问题,原因是无症状传播和缺乏特定治疗方法.
- 了解宿主防御细胞与 Chikungunya 病毒 (CHIKV) 之间的复杂相互作用对于疾病控制至关重要.
研究的目的:
- 开发和分析使用卡普托分数顺序导数来模拟CHIKV动态的数学模型.
- 调查模型解决方案的存在,独特性和稳定性.
- 为了确定无病平衡值和Hyers-Ulam稳定性.
主要方法:
- 制定了一个包含卡普托分数顺序导数的数学模型.
- 对存在,独特性和积极性的模型解决方案的分析.
- 希尔斯-乌拉姆稳定性和基本的繁殖数计算.
- 拉普拉斯的阿多米安分解法 (LADM) 用于数值解决方案.
主要成果:
- 基本生殖数表明病毒复制率高,表明感染性增加.
- 敏感性分析强调,增加易受单细胞入侵加速了CHIKV的传播.
- 一个增强的适应性免疫反应,可能通过干预来促进,显示出显著的hysteresis效应.
- 在细胞感染前大约三天,病毒颗粒被清除,这表明在一周内可能完全消除病毒.
结论:
- 开发的分数顺序模型为CHIKV-主机交互提供了洞察力.
- 强大的免疫反应是快速病毒清除的关键,可能在七天内.
- 数学建模可以指导开发策略,以加快CHIKV消除.
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