The impact of immune cell interactions on virus quasi-species formation.

IF 2.6 4区 工程技术 Q1 Mathematics Mathematical Biosciences and Engineering Pub Date : 2024-11-11 DOI:10.3934/mbe.2024331
Ali Moussaoui, Vitaly Volpert
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Abstract

The process of viral infection spreading in tissues was influenced by various factors, including virus replication within host cells, transportation, and the immune response. Reaction-diffusion systems provided a suitable framework for examining this process. In this work, we studied a nonlocal reaction-diffusion system of equations that modeled the distribution of viruses based on their genotypes and their interaction with the immune response. It was shown that the infection may persist at a certain level alongside a chronic immune response, exhibiting spatially uniform or oscillatory behavior. Finally, the immune cells may become entirely depleted, leading to a high viral load persisting in the tissue. Numerical simulations were employed to elucidate the nonlinear dynamics and pattern formation inherent in the nonlocal model.

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免疫细胞相互作用对病毒准种形成的影响。
病毒感染在组织中的传播过程受到多种因素的影响,包括病毒在宿主细胞内的复制、运输和免疫反应。反应扩散系统为研究这一过程提供了一个合适的框架。在这项工作中,我们研究了一个非局部反应-扩散方程组,该方程组基于病毒的基因型及其与免疫反应的相互作用来模拟病毒的分布。结果表明,感染可能在一定水平上持续存在,同时伴有慢性免疫反应,表现出空间均匀或振荡行为。最后,免疫细胞可能完全耗尽,导致组织中持续存在高病毒载量。通过数值模拟来阐明非局部模型的非线性动力学和模式形成。
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来源期刊
Mathematical Biosciences and Engineering
Mathematical Biosciences and Engineering 工程技术-数学跨学科应用
CiteScore
3.90
自引率
7.70%
发文量
586
审稿时长
>12 weeks
期刊介绍: Mathematical Biosciences and Engineering (MBE) is an interdisciplinary Open Access journal promoting cutting-edge research, technology transfer and knowledge translation about complex data and information processing. MBE publishes Research articles (long and original research); Communications (short and novel research); Expository papers; Technology Transfer and Knowledge Translation reports (description of new technologies and products); Announcements and Industrial Progress and News (announcements and even advertisement, including major conferences).
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