Curvature Concentrations on the HIV-1 Capsid

Jiangguo Liu; Farrah Sadre-Marandi; Simon Tavener; Chaoping Chen

Molecular Based Mathematical Biology (2015)

  • Volume: 3, Issue: 1, page 95-105
  • ISSN: 2299-3266

Abstract

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It is known that the retrovirus capsids possess a fullerene-like structure. These caged polyhedral arrangements are built entirely from hexagons and exactly 12 pentagons according to the Euler theorem. Viral capsids are composed of capsid proteins, which create the hexagon and pentagon shapes by groups of six (hexamer) and five (pentamer) proteins. Different distributions of these 12 pentamers result in icosahedral, tubular, or conical shaped capsids. These pentamer clusters introduce declination and hence curvature on the capsids. This paper provides explicit and quantitative characterization of curvature on virus capsids. The concept of curvature concentration is also introduced. For the HIV (5,7)-cone, it is shown that the curvature concentration at the narrow end is about at least four times higher than that at the broad end. Our modeling results about curvature concentrations on HIV-1 capsids echo the results in the literature that the pentamers are in the regions with the highest stress, although the connection between the two approaches (curvature concentration and stress) is to be explored. This also leads to a conjecture that “HIV-1 capsid narrow end may close last during maturation but open first during entry into a host cell".

How to cite

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Jiangguo Liu, et al. "Curvature Concentrations on the HIV-1 Capsid." Molecular Based Mathematical Biology 3.1 (2015): 95-105. <http://eudml.org/doc/270838>.

@article{JiangguoLiu2015,
abstract = {It is known that the retrovirus capsids possess a fullerene-like structure. These caged polyhedral arrangements are built entirely from hexagons and exactly 12 pentagons according to the Euler theorem. Viral capsids are composed of capsid proteins, which create the hexagon and pentagon shapes by groups of six (hexamer) and five (pentamer) proteins. Different distributions of these 12 pentamers result in icosahedral, tubular, or conical shaped capsids. These pentamer clusters introduce declination and hence curvature on the capsids. This paper provides explicit and quantitative characterization of curvature on virus capsids. The concept of curvature concentration is also introduced. For the HIV (5,7)-cone, it is shown that the curvature concentration at the narrow end is about at least four times higher than that at the broad end. Our modeling results about curvature concentrations on HIV-1 capsids echo the results in the literature that the pentamers are in the regions with the highest stress, although the connection between the two approaches (curvature concentration and stress) is to be explored. This also leads to a conjecture that “HIV-1 capsid narrow end may close last during maturation but open first during entry into a host cell".},
author = {Jiangguo Liu, Farrah Sadre-Marandi, Simon Tavener, Chaoping Chen},
journal = {Molecular Based Mathematical Biology},
keywords = {capsid; cone; curvature; hexamer; HIV-1; pentamer; dimers; dynamical systems; hexamers; sensitivity analysis},
language = {eng},
number = {1},
pages = {95-105},
title = {Curvature Concentrations on the HIV-1 Capsid},
url = {http://eudml.org/doc/270838},
volume = {3},
year = {2015},
}

TY - JOUR
AU - Jiangguo Liu
AU - Farrah Sadre-Marandi
AU - Simon Tavener
AU - Chaoping Chen
TI - Curvature Concentrations on the HIV-1 Capsid
JO - Molecular Based Mathematical Biology
PY - 2015
VL - 3
IS - 1
SP - 95
EP - 105
AB - It is known that the retrovirus capsids possess a fullerene-like structure. These caged polyhedral arrangements are built entirely from hexagons and exactly 12 pentagons according to the Euler theorem. Viral capsids are composed of capsid proteins, which create the hexagon and pentagon shapes by groups of six (hexamer) and five (pentamer) proteins. Different distributions of these 12 pentamers result in icosahedral, tubular, or conical shaped capsids. These pentamer clusters introduce declination and hence curvature on the capsids. This paper provides explicit and quantitative characterization of curvature on virus capsids. The concept of curvature concentration is also introduced. For the HIV (5,7)-cone, it is shown that the curvature concentration at the narrow end is about at least four times higher than that at the broad end. Our modeling results about curvature concentrations on HIV-1 capsids echo the results in the literature that the pentamers are in the regions with the highest stress, although the connection between the two approaches (curvature concentration and stress) is to be explored. This also leads to a conjecture that “HIV-1 capsid narrow end may close last during maturation but open first during entry into a host cell".
LA - eng
KW - capsid; cone; curvature; hexamer; HIV-1; pentamer; dimers; dynamical systems; hexamers; sensitivity analysis
UR - http://eudml.org/doc/270838
ER -

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