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Applied Analysis Seminar

Inheritance of bistability in mass action reaction networks

Date: 9/20/2017
Time: 2:30PM-3:30PM
Place: 422 Armstrong Hall

Casian Pantea
Murad Banaji

Abstract: This talk focuses on the question of bistability, or existence of multiple (stable) positive equilibria, a dynamical property that underlies important cellular processes, and a recurring theme in recent work on reaction networks. Namely, we consider the question: "when can we conclude that a network admits multiple stable positive equilibria based on analysis of its subnetworks?” We identify a number of operations on reaction networks that preserve bistability as we build up the network, and we illustrate the power of this approach on the much-studied Huang-Ferrell MAPK cascade. The technical tools used here do not go beyond the Implicit Function Theorem, so the talk should be accessible to graduate and advanced undergrad students.

All are welcome.