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 |
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| 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 | |
| Publication status | Published - 1 Nov 2019 |