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Effect of Knotting on the Shape of Polymers Eric J. Rawdon,
 

Summary: Effect of Knotting on the Shape of Polymers
Eric J. Rawdon,
John C. Kern,
Michael Piatek,
Patrick Plunkett,|
Andrzej Stasiak,*,
and Kenneth C. Millett|
Department of Mathematics, UniVersity of St. Thomas, St. Paul, Minnesota 55105; Department of
Mathematics and Computer Science, Duquesne UniVersity, Pittsburgh, PennsylVania 15282; Department
of Computer Science and Engineering, UniVersity of Washington, Seattle, Washington 98195;
Department of Mathematics, UniVersity of California, Santa Barbara, Santa Barbara, California 93106;
Faculty of Biology and Medicine, Center for IntegratiVe Genomics, UniVersity of Lausanne, Lausanne
CH 1015, Switzerland; and Department of Mathematics, UniVersity of California, Santa Barbara,
Santa Barbara, California 93106
ReceiVed June 20, 2008; ReVised Manuscript ReceiVed September 4, 2008
ABSTRACT: Momentary configurations of long polymers at thermal equilibrium usually deviate from spherical
symmetry and can be better described, on average, by a prolate ellipsoid. The asphericity and nature of asphericity
(or prolateness) that describe these momentary ellipsoidal shapes of a polymer are determined by specific
expressions involving the three principal moments of inertia calculated for configurations of the polymer. Earlier
theoretical studies and numerical simulations have established that as the length of the polymer increases, the

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics