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Curvature Concentrations on the HIV-1 Capsid

100%

Liu J., Sadre-Marandi F., Tavener S., Chen C.

Molecular Based Mathematical Biology

2015

tom 3

nr 1

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".

Generating Vectors for the Lattice Structures of Tubular and Conical Viral Capsids

84%

Sadre-Marandi F., Liu J., Tavener S., Chen C.

Molecular Based Mathematical Biology

2014

tom 2

nr 1

Retrovirus capsid is a fullerene-like lattice consisting of capsid protein hexamers and pentamers. Mathematical models for the lattice structure help understand the underlying biological mechanisms in the formation of viral capsids. It is known that viral capsids could be categorized into three major types: icosahedron, tube, and cone. While the model for icosahedral capsids is established and well-received, models for tubular and conical capsids need further investigation. This paper proposes new models for the tubular and conical capsids based on an extension of the Capser-Klug quasi-equivalence theory. In particular, two and three generating vectors are used to characterize respectively the lattice structures of tubular and conical capsids. Comparison with published HIV-1 data demonstrates a good agreement of our modeling results with experimental data.

Ograniczanie wyników

2 Molecular Based Mathematical Biology

2 Chen C.

2 Liu J.

2 Sadre-Marandi F.

2 Tavener S.

1 2015

1 2014

Wyniki wyszukiwania

Curvature Concentrations on the HIV-1 Capsid

Generating Vectors for the Lattice Structures of Tubular and Conical Viral Capsids