Saturday, August 12

Dynamical and Statistical Modeling in Biological Systems

10:00 AM-12:00 PM
Plumeria & Tiare (Salon 9 & 10)

There is a substantial history of mathematical modeling in biology. The application areas encompass all aspects of life including population dynamics, ecology, developmental biology, genetics, enzyme kinetics, neurobiology, epidemiology, and cell biology. Due to the intrinsic complex and nonequilbrium nature of biological systems, these diverse systems have become a wonderful field for application of ideas from discrete and continuous dynamical systems theory. These models often lead to significant mathematical problems as well as interesting biological questions. The speakers will present recent mathematical and modeling results from several different areas of mathematical biology.

Organizers: Jack D. Dockery
Montana State University, USA;
and John E. Franke,
North Carolina State University, USA     

10:00-10:25 Probability of Persistence and Extinction in Discrete Lotka-Volterra Competitive Dynamical Systems
John E. Franke and David M. Chan, North Carolina State University, USA
10:30-10:55 Diffusion, Competition and Spatiotemporal Heterogeneity
Konstantin Mischaikow, Georgia Institute of Technology, USA
11:00-11:25 Quorum Sensing and Biofilm Modeling
Jack D. Dockery, Organizer
11:30-11:55 Misfit Dynamics: Parameter Estimation Errors in the Hodgkin-Huxley Model
Ann M. Castelfranco and Daniel K. Hartline, University of Hawaii, Honolulu, USA

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