Journal of Mathematical Sciences

, Volume 243, Issue 1, pp 111–127 | Cite as

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

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

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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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • Z. Zhuravlova
    • 1
  • D. Nerukh
    • 2
  • V. Reut
    • 1
  • N. Vaysfel’d
    • 1
  1. 1.Mechnikov Odessa National UniversityOdessaUkraine
  2. 2.Aston UniversityBirminghamUK

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