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.