Families of Polynomials in Biochemical Reaction Networks

Explore the intersection of geometry, algebra, and biochemistry in this 51-minute seminar from the Society for Industrial and Applied Mathematics. Delve into the study of biochemical reaction networks through the lens of polynomial systems as presented by Alicia Dickenstein from the University of Buenos Aires. Examine how mass-action kinetics modeling leads to complex polynomial differential equations with numerous variables and parameters. Discover the challenges in exploring parameter spaces for predicting system properties, and learn about the combinatorial structure of these polynomials derived from reaction digraphs. Gain insights into specialized techniques for analyzing biochemical networks with unique structures. Follow the presentation from introduction to summary, covering topics such as chemical reaction networks, the Michaelis-Menten mechanism, steady states, multistationary, regular subdivisions, and computational approaches for tackling these complex systems.

Introduction
Outline
Chemical reaction networks
Activation of C
Polynomials
Michaelis Mendel Mechanism
Earth Pathway
Steady States
Multistationarity
Structure
Degenerating
Standard Generation
Regular Subdivision
Other computational approaches
Future computational approaches
Summary