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

College of Engineering and Physical Sciences

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

Access to Document

10.1007/s10958-019-04530-4

Cite this

@article{a4fdc3b0c80d46838b534fce676ef007,

title = "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.",

author = "Z. Zhuravlova and D. Nerukh and V. Reut and N. Vaysfel{\textquoteright}d",

year = "2019",

month = nov,

day = "1",

doi = "10.1007/s10958-019-04530-4",

language = "English",

volume = "243",

pages = "111–127",

journal = "Journal of Mathematical Sciences (United States)",

issn = "1072-3374",

publisher = "Springer",

number = "1",

}

TY - JOUR

T1 - Investigation of an Idealized Virus Capsid Model by the Dynamic Elasticity Apparatus

AU - Zhuravlova, Z.

AU - Nerukh, D.

AU - Reut, V.

AU - Vaysfel’d, N.

PY - 2019/11/1

Y1 - 2019/11/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=85074501932&partnerID=8YFLogxK

UR - https://link.springer.com/article/10.1007%2Fs10958-019-04530-4

U2 - 10.1007/s10958-019-04530-4

DO - 10.1007/s10958-019-04530-4

M3 - Article

AN - SCOPUS:85074501932

SN - 1072-3374

VL - 243

SP - 111

EP - 127

JO - Journal of Mathematical Sciences (United States)

JF - Journal of Mathematical Sciences (United States)

IS - 1

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this