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Hamiltonian Formulations and Symmetries in Rod Mechanics

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Mathematical Approaches to Biomolecular Structure and Dynamics

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

Abstract

This article provides a survey of contemporary rod mechanics, including both dynamic and static theories. Much of what we discuss is regarded as classic material within the mechanics community, but the objective here is to provide a self-contained account accessible to workers interested in modelling DNA. We also describe a number of recent results and computations involving rod mechanics that have been obtained by our group at the University of Maryland. This work was largely motivated by applications to modelling DNA, but our approach reflects a background of research in continuum mechanics. In particular, we emphasize the role that Hamiltonian formulations and symmetries play in the effective computation of special solutions, conservation laws of dynamics and integrals of statics.

Research supported by AFOSR, NSF and ONR

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Authors and Affiliations

  1. Institute for Physical Science and Technology, and Department of Mathematics, University of Maryland, College Park, MD, 20742, USA

    Donald J. Dichmann, Yiwei Li & John H. Maddocks

Authors
  1. Donald J. Dichmann
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  2. Yiwei Li
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  3. John H. Maddocks
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Editor information

Editors and Affiliations

  1. Computer Science Department, Boston University, 111 Cummington Street, Boston, MA, 02215, USA

    Jill P. Mesirov

  2. Beckman Institute, Theoretical Biophysics Group, University of Illinois, 405 N. Mathews Avenue, Urbana, IL, 61801, USA

    Klaus Schulten

  3. Department of Mathematics, Florida State University, Tallahassee, FL, 32306-3027, USA

    De Witt Sumners

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© 1996 Springer-Verlag New York, Inc.

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Dichmann, D.J., Li, Y., Maddocks, J.H. (1996). Hamiltonian Formulations and Symmetries in Rod Mechanics. In: Mesirov, J.P., Schulten, K., Sumners, D.W. (eds) Mathematical Approaches to Biomolecular Structure and Dynamics. The IMA Volumes in Mathematics and its Applications, vol 82. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4066-2_6

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  • DOI: https://doi.org/10.1007/978-1-4612-4066-2_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-94838-6

  • Online ISBN: 978-1-4612-4066-2

  • eBook Packages: Springer Book Archive

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