Mathematical Biology Seminar
Hong Qian
University of Washington
3:05PM, Wednesday, September 8, 2010
LCB 225
Motor proteins and cellular phosphorylationdephosphorylation signaling


Abstract: 
Motivated by the recent development in motor proteins and in
cellular phosphorylationdephosphorylation signaling, this talk
will discuss two abstract mathematical models: (1) A model for
motor protein in terms of nonlinear stochastic dynamics on a torus,
and (2) a model for twostep phosphorylationdephosphorylation cycle
kinetics in terms of singular mathematical equations. We shall show
how the mathematical concept of rotation number defines the
biophysics of "power stroke" and "Brownian trachet" in (1), and a
canonical competition behavior in (2) that might have implications to
cancer biology. Both models demand nonconventional techniques
in their analysis.

