Conformational Statistics of Dna and Diffusion Equations on The Euclidean Group

作者: Gregory S. Chirikjian

DOI: 10.1007/978-1-4419-0670-0_3

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摘要: Semi-flexible (or wormlike) polymer chains such as DNA possess bending and torsional stiffness. Given a semi-flexible structure that is subjected to Brownian motion forcing, the distribution of relative positions orientations visited by distal end chain its proximal provides important information about molecule can be linked experimental observations. This probability density end-to-end position orientation obtained solving Fokker-Planck equation describes diffusion process on Euclidean group. In this paper, methods for are reviewed. The techniques presented valid up several persistence lengths in open environments, where effects excluded volume neglected.

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