Graph-theoretic and algebraic geometric approaches to biochemical reaction networks

Date

Oct 2, 2025

Time

3:00 PM - 4:00 PM

Speaker

Sabina Haque

Affiliation

University of Michigan

Language

en

Main Topic

Biologie

Host

Heather Harrington, Aida Maraj // Organisers: Max Wiesmann, Giulio Zucal, Nikola Sadovek

Description

Under mass-action kinetics, systems of biochemical reactions are modeled by chemical reaction networks (CRNs), a class of graphs that gives rise to polynomial dynamical systems. Approaches in this field include chemical reaction network theory and the more recent linear framework. In this talk, I will focus primarily on the linear framework, a graph-theoretic approach to timescale separation in biochemical systems. I will discuss a graph-theoretic construction within the framework that mimics what would happen if a single parameter in a graph is taken to infinity, producing what we call an asymptotic graph. I consider how properties of the asymptotic graph, such as its steady states, serve as an appropriate representation for a linear framework graph in this limit. I also speculate on some extensions of this construction beyond the scope of the linear framework to parameter identifiability and the steady state varieties of CRNs, suggesting areas for future work at the intersection of graph theory, algebraic geometry, and dynamical systems.

Last modified: Oct 2, 2025, 7:36:46 AM