论文标题

一个三维离散模型,用于近似于躺在平坦表面上的病毒式衣壳的变形

A three-dimensional discrete model for approximating the deformation of a viral capsid subjected to lying over a flat surface

论文作者

Piersanti, Paolo, White, Kristen, Dragnea, Bogdan, Temam, Roger

论文摘要

在本文中,我们提出了一个管理病毒式衣壳变形的三维离散模型,该模型以常规二十面体模型,并不得越过给定的平坦刚性表面,最初仅在一个顶点中对应。首先,我们以在合适空间的非空,封闭和凸子集上构成的一组变异不平等的形式设置模型。其次,我们显示了提出模型的解决方案的存在和独特性。最后,我们通过数值测试该模型,并观察到数值实验的输出符合物理。

In this paper we present a three-dimensional discrete model governing the deformation of a viral capsid, modelled as a regular icosahedron and subjected not to cross a given flat rigid surface on which it initially lies in correspondence of one vertex 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 space. Secondly, we show the existence and uniqueness of the solution for the proposed model. Finally, we numerically test this model and we observe that the outputs of the numerical experiments comply with physics.

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