Elastic rod model incorporating shear and extension, generalized nonlinear Schrödinger equations, and novel closed-form solutions for supercoiled DNA

Shi, Yaoming; Borovik, Andrey E.; Hearst, John E.
August 1995
Journal of Chemical Physics;8/22/1995, Vol. 103 Issue 8, p3166
Academic Journal
We have derived a generalized one-dimensional time-independent nonlinear Schrödinger equation for the stationary state configurations of supercoiled DNA, based on an elastic rod model which includes deformations of bending, twisting, shear, and extension. Closed-form solutions for the axis of DNA have been obtained in terms of elliptic functions and elliptic integrals. These solutions describe the stationary state configurations of supercoiled DNA. © 1995 American Institute of Physics.


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