Seminar Event Detail

Mathematical Biology

Date:  Monday, January 08, 2018
Location:  335 West Hall (12:00 PM to 1:00 PM)

Title:  Geometric singular perturbation theory and the mathematical description of enzyme kinetics

Abstract:   Due to the prevelance of fast and slow timescales in enzyme-catalyzed reactions, geometric singular perturbation theory (GSPT) plays a pivotal role in the mathematical illustration of enzyme kinetics. I'll begin the talk by reviewing some of the earlier work that characterizes single-enzyme/single-substrate (SE/SS) reactions. At the same time, I'll introduce some of the principal theorems of GSPT and demonstrate their applicability to SE/SS reactions. Finally, I'll conclude with a description of my current work on coupled reactions. Coupled reactions generally consist of multiple fast timescales and multiple slow timescales; thus, they serve as a novel platform from which to study the applicability of GSPT in higher dimensional dynamical systems.


Speaker:  Justin Eilertsen
Institution:  UM Physiology

Event Organizer:   Victoria Booth


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