A simple mathematical model to describe antibody-dependent enhancement in heterologous secondary infection in dengue.

IF 0.8 4区 数学 Q4 BIOLOGY
Miller Cerón Gómez, Hyun Mo Yang
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引用次数: 21

Abstract

We develop a mathematical model to describe the role of antibody-dependent enhancement (ADE) in heterologous secondary infections, assuming that antibodies specific to primary dengue virus (DENV) infection are being produced by immunological memory. The model has a virus-free equilibrium (VFE) and a unique virus-presence equilibrium (VPE). VFE is asymptotically stable when VPE is unstable; and unstable, otherwise. Additionally, there is an asymptotic attractor (not a fixed point) due to the fact that the model assumes unbounded increase in memory cells. In the analysis of the model, ADE must be accounted in the initial stage of infection (a window of time of few days), period of time elapsed from the heterologous infection until the immune system mounting an effective response against the secondary infection. We apply the results yielded by model to evaluate ADE phenomonon in heterologous DENV infection. We also associate the possible occurrence of severe dengue with huge viremia mediated by ADE phenomenon.

描述登革热异源继发感染中抗体依赖性增强的简单数学模型。
我们建立了一个数学模型来描述抗体依赖增强(ADE)在异源继发性感染中的作用,假设针对原发性登革热病毒(DENV)感染的抗体是通过免疫记忆产生的。该模型具有无病毒平衡(VFE)和独特的病毒存在平衡(VPE)。当VPE不稳定时,VFE渐近稳定;不稳定,否则。此外,由于模型假设存储单元无界增加,因此存在渐近吸引子(不是不动点)。在模型分析中,ADE必须考虑在感染的初始阶段(几天的时间窗口),即从异源感染到免疫系统对继发感染产生有效反应的一段时间。我们应用模型所得结果评价了异源DENV感染中的ADE现象。我们还将严重登革热的可能发生与ADE现象介导的大量病毒血症联系起来。
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来源期刊
CiteScore
2.20
自引率
0.00%
发文量
15
审稿时长
>12 weeks
期刊介绍: Formerly the IMA Journal of Mathematics Applied in Medicine and Biology. Mathematical Medicine and Biology publishes original articles with a significant mathematical content addressing topics in medicine and biology. Papers exploiting modern developments in applied mathematics are particularly welcome. The biomedical relevance of mathematical models should be demonstrated clearly and validation by comparison against experiment is strongly encouraged. The journal welcomes contributions relevant to any area of the life sciences including: -biomechanics- biophysics- cell biology- developmental biology- ecology and the environment- epidemiology- immunology- infectious diseases- neuroscience- pharmacology- physiology- population biology
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