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在宿主内延迟的SARS-CoV-2动力学差异模型与和的抗病毒反应

Kaushik Dehingia¹, Anusmita Das², Evren Hincal²

¹Department of Mathematics, Sonari College, Sonari 785690, Assam, India.

Mathematical biosciences and engineering : MBE

|December 5, 2023

概括

这项研究模拟了SARS-CoV-2 (导致COVID-19的病毒) 动力学与抗病毒反应. 较快的上皮细胞反应稳定了身体,而过快的反应可能导致不稳定和死亡.

科学领域:

病毒学病毒学
数学生物学数学生物学
免疫学免疫学免疫学

背景情况:

SARS-CoV-2 (严重急性呼吸系统综合征冠状病毒2) 感染动态受宿主抗病毒反应的影响.
表皮细胞通过细胞因子和化学因子的产生启动抗病毒防御,引入宿主反应的时间延迟.
了解这种时间延迟对病毒动态的影响对于预测疾病进展至关重要.

研究的目的:

开发和分析一种描述SARS-CoV-2病毒动态的数学模型,其离散时间延迟代表了上皮细胞抗病毒反应.
为了研究病毒动态模型在平衡点的稳定性.
确定系统稳定性的关键时间延迟值,并确定导致病毒清除或不受控制的感染的条件.

主要方法:

制定了一个离散时间延迟模型来表示SARS-CoV-2感染动态.
在模型的每个平衡点进行稳定性分析.
霍夫分叉分析被用来识别从稳定到不稳定的系统状态的过渡.
计算了维持系统稳定的最大延迟时间.

主要成果:

确定了一个门时间延迟,超出这个门,系统通过Hopf分叉从稳定转变为不稳定.
发现上皮细胞的抗病毒反应更快 (时间延迟更短) 稳定了系统并有助于病毒中和.
相反,过于快速或强烈的抗病毒反应 (较长的时间延迟) 导致系统不稳定,导致广泛的病毒感染和潜在的致命结果.

结论:

表皮细胞抗病毒反应的时间和速度显著影响SARS-CoV-2的动力学.
快速但不过快的抗病毒反应对于有效的病毒清除和患者康复至关重要.
该模型强调了宿主免疫反应时间和病毒病原体之间的复杂关系,表明了与调节免疫反应动力学相关的潜在治疗点.

关键词:

霍普夫分叉的双叉方式这就是SARS-CoV-2病毒.数学建模的数学建模数字模拟的数字模拟.稳定的稳定性稳定的稳定性时间延迟时间延迟

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