Tuesday, May 25

New Models and Analysis of Noise-Sensitive Dynamical Systems

10:00 AM-12:00 PM
Room: Superior B

This minisymposium addresses modeling of stochastic effects in applied problems and methods, such as statistical analysis, projection techniques, and asymptotic expansions, used to investigate these models. Systems with diffusion and jump noises are modeled with stochastic ordinary and partial differential equations. Probability densities describing the dynamics of noisy metastable interfaces are obtained from new models. Stochastic resonance in excitable systems, such as neuron firing, are measured with new tools. Diffusion in a randomly fluctuating potential can be controlled to optimize a nonzero steady-state current. Discrete and continuous models of boundary effects in random transport are examined for ionic channels.

Organizers: Rachel Kuske
University of Minnesota, Minneapolis
Malgorzata M. Klosek
University of Wisconsin, Milwaukee

10:00-10:25 A Combined Molecular Dynamics and Diffusion Model for Single Proton Conduction Through Gramicidins
Mark F. Schumaker, Washington State University
10:30-10:55 Stochastic Resonance and Neuron Firing: Statistical Aspects
Priscilla Greenwood, University of British Columbia, Vancouver, Canada
11:00-11:25 Current in Sharp Additive Ratchets: Analysis and Exact Results
Malgorzata M. Klosek, Organizer
11:30-11:55 Models and Prediction for Noisy Interface Dynamics
Rachel Kuske, Organizer; and Michael Ward, University of British Columbia, Vancouver, Canada

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MMD, 2/9/99
LMH, 1/11/99; tjf, 2/3/99