Biopolymer mechanics: stability, dynamics, and statistics | Zendy

Wiggins Chris H. | Zendy

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Biopolymer mechanics: stability, dynamics, and statistics

Author(s) -

Wiggins Chris H.

Publication year - 2001

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.182

Subject(s) - dynamics (music) , mathematics , stability (learning theory) , partial differential equation , statistical physics , frame (networking) , bending , statistical mechanics , classical mechanics , mathematical analysis , physics , computer science , machine learning , acoustics , telecommunications , thermodynamics

Motivated by the dynamics of twisted biopolymers such as DNA and filaments of Bacillus subtilis , we formulate the over‐damped dynamics of a twisted elastic rod. The development exploits the ‘natural’ frame, in which curve dynamics are described by a pair of non‐linear partial differential equations, partitioning bending from twisting motions and highlighting their geometric interplay. A number of open problems are highlighted, along with connections with questions about cellular structure and statistical dynamics. Copyright © 2001 John Wiley & Sons, Ltd.

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