Investigation of an Idealized Virus Capsid Model by the Dynamic Elasticity Apparatus

Z. Zhuravlova; D. Nerukh; V. Reut; N. Vaysfel’d

doi:10.1007/s10958-019-04530-4

Investigation of an Idealized Virus Capsid Model by the Dynamic Elasticity Apparatus

Z. Zhuravlova^*
, D. Nerukh
, V. Reut
, N. Vaysfel’d

^*Corresponding author for this work

Odessa I. I. Mechnikov National University

Research output: Contribution to journal › Article › peer-review

Abstract

The three-dimensional dynamic theory of elasticity is applied to investigate the mechanical properties of the virus capsid. An idealized model of viruses is based on the 3D boundary-value problem of mathematical physics formulated in a spherical coordinate system for the steady-state oscillation process. The virus is modeled by a hollow elastic sphere filled with an acoustic medium and located in a different acoustic medium. The stated boundary-value problem is solved with the help of the method of integral transforms and the method of the discontinuous solutions. As a result, the exact solution of the problem is obtained. The numerical calculations of the elastic characteristics of the virus are carried out.

Original language	English
Pages (from-to)	111–127
Number of pages	17
Journal	Journal of Mathematical Sciences (United States)
Volume	243
Issue number	1
Early online date	19 Oct 2019
DOIs	https://doi.org/10.1007/s10958-019-04530-4
Publication status	Published - 1 Nov 2019

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abstract = "The three-dimensional dynamic theory of elasticity is applied to investigate the mechanical properties of the virus capsid. An idealized model of viruses is based on the 3D boundary-value problem of mathematical physics formulated in a spherical coordinate system for the steady-state oscillation process. The virus is modeled by a hollow elastic sphere filled with an acoustic medium and located in a different acoustic medium. The stated boundary-value problem is solved with the help of the method of integral transforms and the method of the discontinuous solutions. As a result, the exact solution of the problem is obtained. The numerical calculations of the elastic characteristics of the virus are carried out.",

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AB - The three-dimensional dynamic theory of elasticity is applied to investigate the mechanical properties of the virus capsid. An idealized model of viruses is based on the 3D boundary-value problem of mathematical physics formulated in a spherical coordinate system for the steady-state oscillation process. The virus is modeled by a hollow elastic sphere filled with an acoustic medium and located in a different acoustic medium. The stated boundary-value problem is solved with the help of the method of integral transforms and the method of the discontinuous solutions. As a result, the exact solution of the problem is obtained. The numerical calculations of the elastic characteristics of the virus are carried out.

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Investigation of an Idealized Virus Capsid Model by the Dynamic Elasticity Apparatus

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