Topology and geometry of biopolymers

Conference · Tue Dec 31 00:00:00 EST 1996

OSTI ID:495287

Janse Van Rensburg, E J ^[1]; Orlandini, E; Tesi, M C ^[2]

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1. York Univ., Downsview, Ontario (Canada)
2. Univ. of Toronto, Ontario (Canada); and others

This paper is concerned with some simple lattice models of the entanglement complexity of polymers in dilute solution, with special reference to biopolymers such as DNA. We review a number of rigorous results about the asymptotic behavior of the knot probability, the entanglement complexity and the writhe of a lattice polygon (as a model of a ring polymer) and discuss Monte Carlo results for intermediate length polygons. In addition we discuss how this model can be augmented to include the effect of solvent quality and ionic strength. We also describe a lattice ribbon model which is able to capture the main properties of an oriented ribbon-like molecule (such as duplex DNA). 47 refs., 1 fig.

• OSTI ID: 495287
• Report Number(s): CONF-9407205-Vol.82; TRN: 97:003313-0003
• Resource Relation: Conference: IMA summer program on molecular biology, Minneapolis, MN (United States), 5-29 Jul 1994; Other Information: PBD: 1996; Related Information: Is Part Of Mathematical approaches to biomolecular structure and dynamics; Mesirov, J.P. [ed.] [Boston Univ., MA (United States). Computer Science Dept.]; Sumners, D.W. [ed.] [Florida State Univ., Tallahassee, FL (United States). Dept. of Mathematics]; Schulten, K. [ed.] [Univ. of Illinois, Urbana, IL (United States)]; PB: 262 p.
• Country of Publication: United States
• Language: English

Related Subjects

55 BIOLOGY AND MEDICINE
BASIC STUDIES
99 MATHEMATICS
COMPUTERS
INFORMATION SCIENCE
MANAGEMENT
LAW
MISCELLANEOUS
POLYMERS
MATHEMATICAL MODELS
STRUCTURE-ACTIVITY RELATIONSHIPS
TOPOLOGY
GEOMETRY
MOLECULAR STRUCTURE
DNA
CONFORMATIONAL CHANGES
DNA REPLICATION
RNA
ANIMAL CELLS
METABOLISM
MOLECULAR BIOLOGY
CRYSTAL LATTICES
MONTE CARLO METHOD
SOLVENTS