## 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