一种由模式识别受体介导的新型病毒感染模型的全局动力学

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-09-14 DOI:10.1016/j.aml.2025.109757

Wei Wang , Guoxiao Wu , Xiaoting Fan

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引用次数: 0

摘要

焦亡是病毒感染CD4+ T细胞的主要原因。典型的炎症信号通路依赖于模式识别受体（PRR）的激活。PRR （NLRP3炎性小体等）的激活是介导后续Gasdermin D （GSDMD）蛋白激活和细胞焦亡的关键步骤。在本文中，我们建立了一个由PRR介导的病毒动力学的新模型。首先证明了均衡的存在性，并定义了基本繁殖数R0。然后通过建立适当的Lyapunov函数来研究平衡点的全局稳定性。

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Global dynamics of a novel viral infection model mediated by pattern recognition receptors

Pyroptosis is a primary cause of viral infection of CD4+ T cells. The canonical inflammatory signaling pathway depends on the activation of Pattern Recognition Receptors (PRR). PRR (NLRP3 inflammasome, etc.) activation is a critical step that mediates subsequent Gasdermin D (GSDMD) protein activation and cellular pyroptosis. In this article, we develop a novel model of viral dynamics mediated by PRR. We first prove the existence of equilibria, and define the basic reproduction number

R_{0}

. Then the global stability of equilibria is investigated by establishing the appropriate Lyapunov functions.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.