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

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.

Publication DOI: https://doi.org/10.1007/s10958-019-04530-4
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Engineering & Applied Sciences
Uncontrolled Keywords: Statistics and Probability,Mathematics(all),Applied Mathematics
Full Text Link: http://journals ... ticle/view/2499
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
https://link.sp ... 958-019-04530-4 (Publisher URL)
Published Date: 2019-11-01
Authors: Zhuravlova, Z.
Nerukh, D. ( 0000-0001-9005-9919)
Reut, V.
Vaysfel’d, N.

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