Mathematical analysis of synthesis chemical reactions for virus building block polymers in vivo.

IF 2.6 4区 工程技术 Q1 Mathematics
Yuewu Liu, Yan Peng
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引用次数: 0

Abstract

For numerous viruses, their capsid assembly is composed of two steps. The first step is that virus structural protein monomers are polymerized to building blocks. Then, these building blocks are cumulative and efficiently assembled to virus capsid shell. These building block polymerization reactions in the first step are fundamental for virus assembly, and some drug targets were found in this step. In this work, we focused on the first step. Often, virus building blocks consisted of less than six monomers. That is, dimer, trimer, tetramer, pentamer, and hexamer. We presented mathematical models for polymerization chemical reactions of these five building blocks, respectively. Then, we proved the existence and uniqueness of the positive equilibrium solution for these mathematical models one by one. Subsequently, we also analyzed the stability of the equilibrium states, respectively. These results may provide further insight into property of virus building block polymerization chemical reactions in vivo.

病毒构建模块聚合物体内合成化学反应的数学分析。
对于许多病毒来说,它们的囊膜组装包括两个步骤。第一步是病毒结构蛋白单体聚合成构件。然后,这些结构单元被累积并有效地组装成病毒的囊壳。第一步中的这些构筑块聚合反应是病毒组装的基础,在这一步中发现了一些药物靶点。在这项工作中,我们将重点放在第一步。通常情况下,病毒构筑块由少于六个单体组成。即二聚体、三聚体、四聚体、五聚体和六聚体。我们分别介绍了这五种构建模块的聚合化学反应数学模型。然后,我们逐一证明了这些数学模型正平衡解的存在性和唯一性。随后,我们还分别分析了平衡态的稳定性。这些结果可进一步揭示体内病毒构件聚合化学反应的特性。
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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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