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Research Abstracts Online
January 2010 - March 2011

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University of Minnesota Twin Cities
College of Science and Engineering
School of Physics and Astronomy

PI: Jorge ViƱals, Fellow, Director of the Supercomputing Institute

Stability and Bifurcation of Stochastic Equations With Delay

This project concerns the analysis of bifurcations in prototypical models of gene regulation networks that include feedback loop motifs and parametric stochasticity. The theoretical tools rely on coarse-grained master equations of the underlying chemical kinetic equations, and continuous equation of the Langevin type with parametric noise. Associated computational tools involve Monte Carlo methods for chemical reaction networks augmented to handle delays associated with feedback loops, and iterative schemes to integrate stochastic delay differential equations.

Group Member

Mathieu Gaudreault, Graduate Student