For many viruses, structural transitions of the viral protein containers, which encapsulate and hence provide protection for the viral genome, form an integral part of their life cycle. We review here two complementary mathematical models for the expansion of an icosahedral viral capsid. The first is based on a geometrical description of the capsid involving a library of point sets obtained by affine extensions of the icosahedral group, and allows us to characterize the space of the possible transition paths between the initial and the final state. In the second approach, the capsid is described as a union of rigid tiles that interact with each other and with the genomic material, placing emphasis on the energetic determinants of the transition event. Both models predict loss of icosahedral symmetry along the transition path, even though the final state is icosahedral.

The Role of Symmetry in Conformational Changes of Viral Capsids: A Mathematical Approach

CERMELLI, Paolo;INDELICATO, GIULIANA;
2014

Abstract

For many viruses, structural transitions of the viral protein containers, which encapsulate and hence provide protection for the viral genome, form an integral part of their life cycle. We review here two complementary mathematical models for the expansion of an icosahedral viral capsid. The first is based on a geometrical description of the capsid involving a library of point sets obtained by affine extensions of the icosahedral group, and allows us to characterize the space of the possible transition paths between the initial and the final state. In the second approach, the capsid is described as a union of rigid tiles that interact with each other and with the genomic material, placing emphasis on the energetic determinants of the transition event. Both models predict loss of icosahedral symmetry along the transition path, even though the final state is icosahedral.
Discrete and topological models in molecular biology
Springer
Natral Computing Series
48
217
240
9783642401923
mathematical modelling
Paolo Cermelli; Giuliana Indelicato; Reidun Twarock
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2318/144068
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? ND
social impact