Tuesday, May 20

3:00 PM-5:00 PM Wasatch A & B - Level C

Continuum Models of Biological Macromolecules

A number of biologically important molecules are extremely large and exhibit significant behaviors on length scales much longer than the atomic. Super-coiling of DNA and deformations of alpha-helical proteins are two prime examples. Recently there has been considerable interest in simulating such molecules within the context of some form of continuum description. This minisymposium provides an opportunity for junior members from each of four different research groups in this area to present their work. Static models typically involve the study of systems of ODE with `evolution' in arc-length, while dynamic models involve systems of PDE in 1+1 dimensions, but in both statics and dynamics mathematically unusual features, for example non-local terms, can arise in modelling phenomena such as contact.

Organizer: John H. Maddocks
University of Maryland, College Park

3:00 Modeling Stable Configurations of Protein-bound DNA Rings
Jennifer A. Martino and Wilma K. Olson, Rutgers University
3:30 A Combined Wormlike-Chain and Bead Model for Dynamic Simulations of Long DNA
Hongmei Jian, Alexander Vologodskii; and Tamar Schlick, New York University
4:00 Stability in Continuum Models of DNA Minicircles
Kathleen A. Rogers and Robert S. Manning, University of Maryland, College Park; and John H. Maddocks, Organizer
4:30 Stability of the Stationary States of the Elastic Rod Model Under an Applied External Force that Represent Configurations of DNA in Living Cells
Thomas Connor Bishop and John E. Hearst, University of California, Berkeley

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TMP, 4/4/97