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Modeling DNA supercoils and knots with B‐spline functions
Author(s) -
Hao MingHong,
Olson Wilma K.
Publication year - 1989
Publication title -
biopolymers
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.556
H-Index - 125
eISSN - 1097-0282
pISSN - 0006-3525
DOI - 10.1002/bip.360280407
Subject(s) - writhe , dna supercoil , chemistry , linking number , dna , geometry , classical mechanics , physics , twist , mathematics , dna replication , biochemistry
A method is offered to model the complex trajectories of closed circular DNA supercoils and knots. The trajectories are approximated by polygons and analytical expressions of the curves are generated from the polygons with B‐spline functions. The resulting curves are used to evaluate the writhe and elastic energy of a series of interrelated supercoils, and to generate detailed atomic models of the deformed double helix.