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Applications + Practical Conceptualization + Mathematics = fruitful InnovationGroup Theory Methods in Virology: Landau Density Wave Approach

Applications + Practical Conceptualization + Mathematics = fruitful Innovation: Group Theory... [Viruses are organized biological nanosystems which display high level of spatial organization. In the present work we focus on the group theory methods application to the problems of virus self-assembly and resulting viral structure formation. The approach is based on the successive application of methods of representation theory for continuous and discrete groups and invariant theory for the groups not-generated by reflections. It generalizes the Landau density wave theory of crystallization to the case of compact crystal-like manifold assembly. To compare the predictions of the theory with the available cryoelectronic microscopy data we use the calculated density distribution functions which generate the protein positions on a spherical surface of the cage protecting viral genome. We also discuss the relation between density distribution functions and viral infectivity.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Applications + Practical Conceptualization + Mathematics = fruitful InnovationGroup Theory Methods in Virology: Landau Density Wave Approach

Part of the Mathematics for Industry Book Series (volume 11)
Editors: Anderssen, Robert S.; Broadbridge, Philip; Fukumoto, Yasuhide; Kajiwara, Kenji; Takagi, Tsuyoshi; Verbitskiy, Evgeny; Wakayama, Masato
Lorman, Vladimir L.; Rochal, Sergei B.
Applications + Practical Conceptualization + Mathematics = fruitful Innovation — Sep 19, 2015
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Publisher
Springer Japan
Copyright
© Springer Japan 2016
ISBN
978-4-431-55341-0
Pages
15 –29
DOI
10.1007/978-4-431-55342-7_2
Publisher site
See Chapter on Publisher Site

Abstract

[Viruses are organized biological nanosystems which display high level of spatial organization. In the present work we focus on the group theory methods application to the problems of virus self-assembly and resulting viral structure formation. The approach is based on the successive application of methods of representation theory for continuous and discrete groups and invariant theory for the groups not-generated by reflections. It generalizes the Landau density wave theory of crystallization to the case of compact crystal-like manifold assembly. To compare the predictions of the theory with the available cryoelectronic microscopy data we use the calculated density distribution functions which generate the protein positions on a spherical surface of the cage protecting viral genome. We also discuss the relation between density distribution functions and viral infectivity.]

Published: Sep 19, 2015

Keywords: Group theory; Virology; Density waves; Self-assembly; Icosahedral viruses; Crystallization

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