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Colloquium: Dr. Murray Alexander

Department of Physics
University of Winnipeg
Winnipeg, Manitoba

Modelling the Role of Chemotaxis in Cell Transport

 

Migratory responses of cells to cellular guiding signals play an important role in regulating a wide range of physiological and pathological processes. This enables them, among other functions, to migrate to sites of pathogen infection. A variety of cellular-scale processes orchestrate the macroscopic responses of the immune system. In this talk, I will describe some attempts to model these processes at a variety of scales:
from sub-cellular and stochastic processes to the coarsest scale Keller-Segel models. An area of particular interest is the role of competing chemotactants. A modified Keller-Segel model for two competing chemotactants will be presented, and the properties of its solutions explored, including pattern formation and development of 'blow-up' singularities. Some statistical approaches to cellular-level modelling will also be briefly discussed, as an alternative to computational Agent Based Models, and the possibility of describing the onset of infection as a phase transition discussed.

Department of Physics & Astrophysics
Witmer Hall Room 213
101 Cornell St Stop 7129
Grand Forks, ND 58202-7129
P 701.777.2911
physics@UND.edu
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