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

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)111–127
Number of pages17
JournalJournal of Mathematical Sciences (United States)
Issue number1
Early online date19 Oct 2019
Publication statusPublished - 1 Nov 2019


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