The Kirchhoff elastic rod, the nonlinear Schroedinger equation, and DNA supercoiling

Journal Article · Thu Sep 15 00:00:00 EDT 1994 · Journal of Chemical Physics; (United States)

DOI:https://doi.org/10.1063/1.468506· OSTI ID:7000922

Shi, Y; Hearst, J E ^[1]

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1. Department of Chemistry, University of California, Berkeley, California 94720 (United States)

We have derived a time-independent, one-dimensional nonlinear Schroedinger equation for the stationary state configurations of supercoiled DNA. The effect of DNA self-contact has been included analytically. For the cases of non-self-contact and periodic boundary conditions, closed-form solutions have been obtained which describe the stationary state configurations of supercoiled DNA.

• DOE Contract Number: AC03-76SF00098
• OSTI ID: 7000922
• Journal Information: Journal of Chemical Physics; (United States), Journal Name: Journal of Chemical Physics; (United States) Vol. 101:6; ISSN JCPSA6; ISSN 0021-9606
• Country of Publication: United States
• Language: English

Related Subjects

550200* -- Biochemistry
59 BASIC BIOLOGICAL SCIENCES
ANALYTICAL SOLUTION
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
DIFFERENTIAL GEOMETRY
DNA
ELASTICITY
EQUATIONS
GENE REGULATION
GEOMETRY
MATHEMATICS
MECHANICAL PROPERTIES
NONLINEAR PROBLEMS
NUCLEIC ACIDS
ONE-DIMENSIONAL CALCULATIONS
ORGANIC COMPOUNDS
PARTIAL DIFFERENTIAL EQUATIONS
RODS
SCHROEDINGER EQUATION
STEADY-STATE CONDITIONS
TENSILE PROPERTIES
TOPOLOGY
WAVE EQUATIONS