A Mathematical Approach To Structural Transitions In Viral Capsids

Research output: Chapter in Book/Report/Conference proceedingConference contribution


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 languageEnglish
Title of host publicationInternational Journal of Modern Physics: Conference Series
Number of pages13
ISBN (Electronic)2010-1945
Publication statusPublished - Feb 2012


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

Cite this