Speaker
Lea Popovic
(Concordia University)
Description
The Togashi–Kaneko (TK) model is a prototypical example of an auto- catalytic reaction network exhibiting dramatic switching behavior that is a result of the stochastic dynamics at small volumes. I will present a study of the TK model with additional mutations, using a stochastic averaging principle to make use of the multi-scale feature of its dynamics. I will demonstrate a sensitivity of the model to even slight departures from symmetry in the autocatalytic reactions, using a detailed analysis of the stationary distribution of the fast process when the state of the slow process is fixed. This is joint work with Yi Fu, HyeWon Kang, Wasiur Khudabukhsh, Greg Rempala and Ruth Williams.
Author
Lea Popovic
(Concordia University)
Co-authors
Grzegorz Rempala
(Ohio State)
Hye-Won Kang
(University of Maryland, Baltimore County)
Ruth Williams
Wasiur Rahman Khuda Bukhsh
(University of Nottingham)
