BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Sabina J Haque (University of Michigan) DTSTART:20251120T160000Z DTEND:20251120T163000Z DTSTAMP:20260421T124749Z UID:MoRN/127 DESCRIPTION:Title: G raph-theoretic and algebraic geometric approaches to biochemical reaction networks\nby Sabina J Haque (University of Michigan) as part of Semina r on the Mathematics of Reaction Networks\n\n\nAbstract\nUnder mass-action kinetics\, systems of biochemical reactions are modeled by chemical react ion networks (CRNs)\, a class of graphs that gives rise to polynomial dyna mical systems. Approaches in this field include chemical reaction network theory and the more recent linear framework. In this talk\, I will focus p rimarily on the linear framework\, a graph-theoretic approach to timescale separation in biochemical systems. I will discuss a graph-theoretic const ruction within the framework that mimics what would happen if a single par ameter in a graph is taken to infinity\, producing what we call an asympto tic graph. I consider how properties of the asymptotic graph\, such as its steady states\, serve as an appropriate representation for a linear frame work graph in this limit. Time permitting\, I also speculate on some exten sions of this construction beyond the scope of the linear framework to par ameter identifiability and the steady state varieties of CRNs\, suggesting areas for future work at the intersection of graph theory\, algebraic geo metry\, and dynamical systems.\n LOCATION:https://researchseminars.org/talk/MoRN/127/ END:VEVENT END:VCALENDAR