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Mathematical Approaches to Biomolecular Structure and Dynamics

  • Book
  • © 1996

Overview

Editors:
  1. Jill P. Mesirov

    1. Computer Science Department, Boston University, Boston, USA

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  2. Klaus Schulten

    1. Beckman Institute, Theoretical Biophysics Group, University of Illinois, Urbana, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. De Witt Sumners

    1. Department of Mathematics, Florida State University, Tallahassee, USA

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Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 82)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-x
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  2. Biomolecular Topology

    1. Tangle Complexity and the Topology of the Chinese Rings

      • Louis H. Kauffman
      Pages 1-10

    2. Lattice Invariants for Knots

      • E. J. Janse Van Rensburg
      Pages 11-20

    3. Topology and Geometry of Biopolymers

      • E. J. Janse van Rensburg, Enzo Orlandini, De Witt Sumners, M. Carla Tesi, Stuart G. Whittington
      Pages 21-37

    4. Energy Functions for Knots: Beginning to Predict Physical Behavior

      • Jonathan Simon
      Pages 39-58

  3. Biomolecular Structure and Dynamics: Theory

    1. The Elastic Rod Provides a Model for DNA and Its Functions

      • John E. Hearst, Yaoming Shi
      Pages 59-70

    2. Hamiltonian Formulations and Symmetries in Rod Mechanics

      • Donald J. Dichmann, Yiwei Li, John H. Maddocks
      Pages 71-113

    3. Statistical Mechanics of Supercoiled DNA

      • John F. Marko, Eric D. Siggia
      Pages 115-116

    4. Determination of the DNA Helical Repeat and of the Structure of Supercoiled DNA by Cryo-Electron Microscopy

      • Andrzej Stasiak, Jan Bednar, Patrick Furrer, Vsevolod Katritch, Jacques Dubochet
      Pages 117-138

    5. Dynamics of Twist and Writhe and the Modeling of Bacterial Fibers

      • Michael Tabor, Isaac Klapper
      Pages 139-159

  4. Biomolecular Structure and Dynamics: Computation

    1. Integration Methods for Molecular Dynamics

      • Benedict J. Leimkuhler, Sebastian Reich, Robert D. Skeel
      Pages 161-185

    2. On the Parallelization of CHARMM on the CM-5/5E

      • Jill P. Mesirov, Pablo Tamayo, Robert J. Nagle
      Pages 187-194

    3. Computational Studies of Spatially Constrained DNA

      • Wilma K. Olson, Timothy P. Westcott, Jennifer A. Martino, Guo-Hua Liu
      Pages 195-217

    4. Pursuing Laplace’s Vision on Modern Computers

      • Tamar Schlick
      Pages 219-247

  5. Back Matter

    Pages 248-253
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Keywords

About this book

This IMA Volume in Mathematics and its Applications MATHEMATICAL APPROACHES TO BIOMOLECULAR STRUCTURE AND DYNAMICS is one of the two volumes based on the proceedings of the 1994 IMA Sum­ mer Program on "Molecular Biology" and comprises Weeks 3 and 4 of the four-week program. Weeks 1 and 2 appeared as Volume 81: Genetic Mapping and DNA Sequencing. We thank Jill P. Mesirov, Klaus Schulten, and De Witt Sumners for organizing Weeks 3 and 4 of the workshop and for editing the proceedings. We also take this opportunity to thank the National Institutes of Health (NIH) (National Center for Human Genome Research), the National Science Foundation (NSF) (Biological Instrumen­ tation and Resources), and the Department of Energy (DOE), whose fi­ nancial support made the summer program possible. A vner Friedman Robert Gulliver v PREFACE The revolutionary progress in molecular biology within the last 30 years opens the way to full understanding of the molecular structures and mech­ anisms of living organisms. Interdisciplinary research in mathematics and molecular biology is driven by ever growing experimental, theoretical and computational power. The mathematical sciences accompany and support much of the progress achieved by experiment and computation as well as provide insight into geometric and topological properties of biomolecular structure and processes. This volume consists of a representative sample of the papers presented during the last two weeks of the month-long Institute for Mathematics and Its Applications Summer 1994 Program in Molecular Biology.

Editors and Affiliations

  • Computer Science Department, Boston University, Boston, USA

    Jill P. Mesirov

  • Beckman Institute, Theoretical Biophysics Group, University of Illinois, Urbana, USA

    Klaus Schulten

  • Department of Mathematics, Florida State University, Tallahassee, USA

    De Witt Sumners

Bibliographic Information

  • Book Title: Mathematical Approaches to Biomolecular Structure and Dynamics

  • Editors: Jill P. Mesirov, Klaus Schulten, De Witt Sumners

  • Series Title: The IMA Volumes in Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-1-4612-4066-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1996

  • Hardcover ISBN: 978-0-387-94838-6Published: 29 August 1996

  • Softcover ISBN: 978-1-4612-8485-7Published: 01 July 2012

  • eBook ISBN: 978-1-4612-4066-2Published: 06 December 2012

  • Series ISSN: 0940-6573

  • Series E-ISSN: 2198-3224

  • Edition Number: 1

  • Number of Pages: X, 254

  • Topics: Math. Applications in Chemistry, Mathematical and Computational Biology

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