Dynamical Systems Seminar: Inom Mirzaev

Laplacian dynamics with synthesis and degradation

Inom Mirzaev

Applied Mathematics, University of Colorado Boulder

Date and time: 

Thursday, November 13, 2014 - 2:00pm

Location: 

ECCR 257

Abstract: 

Analyzing qualitative behaviors of biochemical reactions using its associated network structure has proven useful in diverse branches of biology. As an extension of our previous work, we introduce a graph-based framework to calculate steady state solutions of biochemical reaction networks with synthesis and degradation. Our approach is based on a labeled directed graph G and the associated system of linear non-homogeneous differential equations with first order degradation and zeroth order synthesis. We also present a theorem which provides necessary and sufficient conditions for the dynamics to engender a unique stable steady state.