Modelling virus contact mechanics under atomic force imaging conditions
Modelling virus contact mechanics under atomic force imaging conditions
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DOI：
10.1080/00036811.2022.2044027
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发表时间：
2021-12
影响因子：
1.1
通讯作者：
Paolo Piersanti;Kristen L. White;B. Dragnea;R. Temam
中科院分区：
文献类型：
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作者：
Paolo Piersanti;Kristen L. White;B. Dragnea;R. Temam
在本文中，我们提出了一个控制凸正多边形变形的离散模型，它不与给定的平面刚性曲面相交，它最初只对应于一个点。首先，我们在适当的欧氏空间的非空、闭和凸子集上建立了一组变分不等式形式的模型。其次，我们证明了解的存在唯一性。该模型提供了原子力显微镜病毒成像涉及的过程的简化图示：附着到表面、分布应变、松弛到平衡附着和弹性力的形状。基于该模型的数值模拟结果的分析，为病毒接触力学研究中接触面积和弹性参数的估计开辟了一条新的途径。
In this paper, we present a discrete model governing the deformation of a convex regular polygon subjected not to cross a given flat rigid surface, on which it initially lies in correspondence of one point only. First, we set up the model in the form of a set of variational inequalities posed over a non-empty, closed and convex subset of a suitable Euclidean space. Second, we show the existence and uniqueness of the solution. The model provides a simplified illustration of processes involved in virus imaging by atomic force microscopy: adhesion to a surface, distributed strain, relaxation to a shape that balances adhesion and elastic forces. The analysis of numerical simulations results based on this model opens a new way of estimating the contact area and elastic parameters in virus contact mechanics studies.