Discrete Groups and Internal Symmetries of Icosahedral Viral Capsids

Richard Kerner

Molecular Based Mathematical Biology (2014)

  • Volume: 2, Issue: 1, page 1-18, electronic only
  • ISSN: 2299-3266

Abstract

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A classification of all possible icosahedral viral capsids is proposed. It takes into account the diversity of hexamers’ compositions, leading to definite capsid size.We showhowthe self-organization of observed capsids during their production results from definite symmetries of constituting hexamers. The division of all icosahedral capsids into four symmetry classes is given. New subclasses implementing the action of symmetry groups Z2, Z3 and S3 are found and described. They concern special cases of highly symmetric capsids whose T = p2 + pq + q2-number is of particular type corresponding to the cases (p, 0) or (p, p).

How to cite

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Richard Kerner. "Discrete Groups and Internal Symmetries of Icosahedral Viral Capsids." Molecular Based Mathematical Biology 2.1 (2014): 1-18, electronic only. <http://eudml.org/doc/267075>.

@article{RichardKerner2014,
abstract = {A classification of all possible icosahedral viral capsids is proposed. It takes into account the diversity of hexamers’ compositions, leading to definite capsid size.We showhowthe self-organization of observed capsids during their production results from definite symmetries of constituting hexamers. The division of all icosahedral capsids into four symmetry classes is given. New subclasses implementing the action of symmetry groups Z2, Z3 and S3 are found and described. They concern special cases of highly symmetric capsids whose T = p2 + pq + q2-number is of particular type corresponding to the cases (p, 0) or (p, p).},
author = {Richard Kerner},
journal = {Molecular Based Mathematical Biology},
keywords = {Viral capsid growth; Self-organized agglomeration; Symmetry; viral capsid growth; self-organized agglomeration; symmetry},
language = {eng},
number = {1},
pages = {1-18, electronic only},
title = {Discrete Groups and Internal Symmetries of Icosahedral Viral Capsids},
url = {http://eudml.org/doc/267075},
volume = {2},
year = {2014},
}

TY - JOUR
AU - Richard Kerner
TI - Discrete Groups and Internal Symmetries of Icosahedral Viral Capsids
JO - Molecular Based Mathematical Biology
PY - 2014
VL - 2
IS - 1
SP - 1
EP - 18, electronic only
AB - A classification of all possible icosahedral viral capsids is proposed. It takes into account the diversity of hexamers’ compositions, leading to definite capsid size.We showhowthe self-organization of observed capsids during their production results from definite symmetries of constituting hexamers. The division of all icosahedral capsids into four symmetry classes is given. New subclasses implementing the action of symmetry groups Z2, Z3 and S3 are found and described. They concern special cases of highly symmetric capsids whose T = p2 + pq + q2-number is of particular type corresponding to the cases (p, 0) or (p, p).
LA - eng
KW - Viral capsid growth; Self-organized agglomeration; Symmetry; viral capsid growth; self-organized agglomeration; symmetry
UR - http://eudml.org/doc/267075
ER -

References

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