A Mathematical Approach To Structural Transitions In Viral Capsids

Giuliana Indelicato; Reidun Twarock

doi:10.1142/S2010194512005053

A Mathematical Approach To Structural Transitions In Viral Capsids

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

The majority of viruses have protein containers, called capsids, in which proteins are arranged with icosahedral symmetry. The capsids of these viruses follow structural blueprints that can be modelled as subsets of 3-dimensional aperiodic lattices called quasicrystals. These, in turn, can be obained by projection from 6-dimensional Bravais lattices. In this work we apply the crystallographic theory of phase transitions to these 6D lattices, and via projection of these results derive information on the structural transitions of viruses important for infection.

Original language	English
Title of host publication	International Journal of Modern Physics: Conference Series
Pages	11-23
Number of pages	13
Volume	9
ISBN (Electronic)	2010-1945
DOIs	https://doi.org/10.1142/S2010194512005053
Publication status	Published - Feb 2012

Keywords

Virus structure
Structural transitions in viral capsids
Bain strain
Phase transitions in quasicrystals

Access to Document

10.1142/S2010194512005053

http://www.worldscientific.com/doi/abs/10.1142/S2010194512005053

Cite this

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title = "A Mathematical Approach To Structural Transitions In Viral Capsids",

abstract = "The majority of viruses have protein containers, called capsids, in which proteins are arranged with icosahedral symmetry. The capsids of these viruses follow structural blueprints that can be modelled as subsets of 3-dimensional aperiodic lattices called quasicrystals. These, in turn, can be obained by projection from 6-dimensional Bravais lattices. In this work we apply the crystallographic theory of phase transitions to these 6D lattices, and via projection of these results derive information on the structural transitions of viruses important for infection.",

keywords = "Virus structure, Structural transitions in viral capsids, Bain strain, Phase transitions in quasicrystals",

author = "Giuliana Indelicato and Reidun Twarock",

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N2 - The majority of viruses have protein containers, called capsids, in which proteins are arranged with icosahedral symmetry. The capsids of these viruses follow structural blueprints that can be modelled as subsets of 3-dimensional aperiodic lattices called quasicrystals. These, in turn, can be obained by projection from 6-dimensional Bravais lattices. In this work we apply the crystallographic theory of phase transitions to these 6D lattices, and via projection of these results derive information on the structural transitions of viruses important for infection.

AB - The majority of viruses have protein containers, called capsids, in which proteins are arranged with icosahedral symmetry. The capsids of these viruses follow structural blueprints that can be modelled as subsets of 3-dimensional aperiodic lattices called quasicrystals. These, in turn, can be obained by projection from 6-dimensional Bravais lattices. In this work we apply the crystallographic theory of phase transitions to these 6D lattices, and via projection of these results derive information on the structural transitions of viruses important for infection.

KW - Virus structure

KW - Structural transitions in viral capsids

KW - Bain strain

KW - Phase transitions in quasicrystals

U2 - 10.1142/S2010194512005053

DO - 10.1142/S2010194512005053

M3 - Conference contribution

VL - 9

SP - 11

EP - 23

BT - International Journal of Modern Physics: Conference Series

ER -