Published: Nov. 13, 2014

Laplacian dynamics with synthesis and degradation

Inom Mirzaev

Applied MathematicsUniversity of Colorado Boulder

Date and time: 

Thursday, November 13, 2014 - 2:00pm


ECCR 257


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.