Institute for Mathematics and its Applications

Mathematical Approaches to Biomolecular Structure and Dynamics

IMA Volume 82

ISBN 0-387-94838-4

Springer-Verlag Information/Order Form

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

CONTENTS

I. Biomolecular Topology

Tangle complexity and the topology of the chinese rings
Louis H. Kauffman

Lattice invariants for knots
E.J. Janse van Rensburg

Topology and geometry of biopolymers
E.J. Janse van Rensburg, Enzo Orlandini, De Witt Sumners, M. Carla Tesi, a nd Stuart G. Whittington

Energy functions for knots: beginning to predict physical behavior
Jonathan Simon

II. Biomolecular Structure and Dynamics: Theory

The elastic rod provides a model for DNA and its functions
John E. Hearst and Yaoming Shi

Hamiltonian formulations and symmetries in rod mechanics
Donald J. Dichmann, Yiwei Li, and John H. Maddocks

Statistical mechanics of Supercoiled DNA
John F. Marko and Eric. D. Siggia

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, and Jacques Dubochet

Dynamics of twist and writhe and the modeling of bacterial fibers
Michael Tabor and Isaac Klapper

Integration methods for molecular dynamics
Benedict J. Leimkuhler, Sebastian Reich, and Robert D. Skeel

On the parallelization of charmm on the CM-5/5E
Jill P. Mesirov, Pablo Tamayo, and Robert J. Nagle

Computational studies of spatially constrained DNA
Wilma K. Olson, Timothy P. Westcott, Jennifer A. Martino and Guo-Hua Liu

Pursuing Laplace's vision on modern computers
Tamar Schlick


*The articles in this volume were presented during Weeks 3 and 4 of the IMA's Summer 1994 program on Molecular Biology.

IMA Volumes in Mathematics and its Applications