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Conformational Statistics of Dna and Diffusion Equations on The Euclidean Group

  • Gregory S. ChirikjianEmail author
Conference paper
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 150)

Abstract

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

Keywords

Motion Group Persistence Length Physical Review Letter EUCLIDEAN Group Minimal Energy Conformation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Authors and Affiliations

  1. 1.Department of Mechanical EngineeringJohns Hopkins UniversityBaltimoreUSA

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