DEPARTMENT OF MATHEMATICAL AND STATISTICAL SCIENCES
UNIVERSITY OF ALBERTA
PIMS-MITACS MATHEMATICAL BIOLOGY SEMINAR
MONDAY, February 7, 2005
3:00 - 4:00 p.m.
Dr. Thomas Hillen
Department of Mathematical and Statistical Sciences
University of Alberta
Modeling with coupled systems and quiescent states
In this talk I will discuss mathematical models for populations that can be split into active and quiescent compartments. These occur for species which switch behavior between active periods of foraging and inactive periods of resting, or for cell populations where individual cells stay in quiescent state for extended periods of time.
I will discuss theoretical results related to stability, attractors, and singular perturbation theory. Moreover I will discuss applications to the river-drift paradox, to protein movement in the cell nucleus, to the linear quadratic model in cancer treatment, and to epidemic spread (something for everybody).