skip to main content

SciTech ConnectSciTech Connect

Title: Structural regularities of helicoidally-like biopolymers in the framework of algebraic topology: II. {alpha}-Helix and DNA structures

The developed apparatus of the 'structural application' of algebraic geometry and topology makes it possible to determine topologically stable helicoidally-like packings of polyhedra (clusters). A packing found is limited by a minimal surface with zero instability index; this surface is set by the Weierstrass representation and corresponds to the bifurcation point. The symmetries of the packings under consideration are determined by four-dimensional polyhedra (polytopes) from a closed sequence, which begins with diamondlike polytope (240). One example of these packings is a packing of tetrahedra, which arises as a result of the multiplication of a peculiar starting aggregation of tetrahedra by a fractional 40/11 axis with an angle of helical rotation of 99 Degree-Sign . The arrangement of atoms in particular positions of this starting aggregation allows one to obtain a model of the {alpha}-helix. This apparatus makes it possible to determine a priori the symmetry parameters of DNA double helices.
Authors:
 [1] ;  [2]
  1. Central Research Technological Institute 'Technomash' (Russian Federation)
  2. Russian Academy of Sciences, Nesmeyanov Institute of Organoelement Compounds (Russian Federation)
Publication Date:
OSTI Identifier:
22210532
Resource Type:
Journal Article
Resource Relation:
Journal Name: Crystallography Reports; Journal Volume: 58; Journal Issue: 5; Other Information: Copyright (c) 2013 Pleiades Publishing, Ltd.; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; AGGLOMERATION; DNA; PACKINGS; SURFACES; TOPOLOGY