[Colloquium] CS TALK: Anne Shiu, University of Chicago on May 30, 3012
Katie Casey
caseyk at cs.uchicago.edu
Thu May 24 14:43:12 CDT 2012
DEPARTMENT OF COMPUTER SCIENCE
UNIVERSITY OF CHICAGO
Date: Wednesday, May 30, 2012
Time: 2:30 p.m.
Place: RY 251
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Title: Chemical reaction systems with toric steady states
Speaker: Anne Shiu, University of Chicago
Abstract:
Chemical reaction networks taken with mass-action kinetics are dynamical systems governed by polynomial differential equations that arise in systems biology. In general, establishing the existence of (multiple) steady states is challenging, as it requires the solution of a large system of polynomials with unknown coefficients. If, however, the steady state ideal of the system is a binomial ideal, then we show that these questions can be answered easily. This talk focuses on systems with this property, and we say such systems have toric steady states. Our main result gives sufficient conditions for a chemical reaction system to admit toric steady states. Furthermore, we analyze the capacity of such a system to exhibit multiple steady states. An important application concerns the biochemical reaction networks networks that describe the multisite phosphorylation of a protein by a kinase/phosphatase pair in a sequential and distributive mechanism. No prior knowledge of chemical reaction network theory or binomial ideals will be assumed.
This is joint work with Carsten Conradi, Mercedes Pérez Millán, and Alicia Dickenstein.
Host: Ridg Scott
Refreshments will be served following the talk at 3:30 in Ryerson 255.
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