Cumulative Shapes of Knotted Polymers(Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins)

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概要

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• We investigate the influence of knotting and chirality on the shape of knotted polygons forming trefoil knots compared to unknotted polygons by aligning independent configurations along their principal inertial axes. While for six edge polygons forming trefoil knots the chiral knotted structure is revealed in the isodensity profiles, the distinct chiral signature of the trefoil is significantly diminished with 24 edges. We observe that as the number of edges in the polygons increases, the cumulative shapes of trefoil knots progressively approach the cumulative shapes for unknotted polygons.

• 2011-12-16

著者

• MILLETT Kenneth

  Department of Mathematics, University of California

• Stasiak Andrzej

  Center For Integrative Genomics Faculty Of Biology And Medicine University Of Lausanne

• RAWDON Eric

  Department of Mathematics, University of St. Thomas

• TRAN Vy

  Department of Physics, Washington University

• Rawdon Eric

  Department Of Mathematics University Of St. Thomas

• Millett Kenneth

  Department Of Mathematics University Of California

• Tran Vy

  Department Of Physics Washington University

• MILLETT Kenneth

  Department of Mathematics, University of California, Sanra Barbara

関連論文

• Inhibitory effect of DNA supercoiling on DNA knotting (結び目とソフトマター物理学--高分子のトポロジー、そして物理学、数学および生物学における関連する話題)
• A Study of the Entanglement in Systems with Periodic Boundary Conditions(Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins)
• Cumulative Shapes of Knotted Polymers(Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins)
• Role of Topological Exclusion in Formation and Organization of Chromosomal Territories(Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins)
• The Length Scale of 3-Space Knots, Ephemeral Knots, and Slipknots in Random Walks(Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins)

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