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Texas A&M University
Mathematics

AMUSE

Date: March 29, 2023

Time: 6:00PM - 7:00PM

Location: BLOC 306

Speaker: Tung Nguyen, Texas A&M University

  

Title: Network and dynamics in biochemical reaction systems

Abstract: Reaction networks are widely used to model many complex systems such as chemical reactions, protein interactions, and epidemic diseases. A reaction network model consists of two components: the network/graph (with vertices and edges) which describe qualitatively the interactions of the species or chemicals of interest, and the associated dynamical systems (for example a system of differential equations, or a Markov process) which describe quantitatively the time evolution of chemical concentrations or species abundances. Often time these dynamical systems have many variables and parameters and are very challenging to analyze. However, there are cases when the properties of the underlying network, which are easy to check, can provide valuable information about the dynamics of the associated systems. In this talk, I will describe reaction networks and the associated dynamical systems, and show you some instances when we can establish useful connections between properties of the network and properties of the dynamical systems.