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Workshop

Stability of steady states and algebraic parameterizations in chemical reaction networks.

  • Angelica Torres (University of Copenhagen, Copenhagen, Denmark)
E1 05 (Leibniz-Saal)

Abstract

Criteria such as Routh-Hurwitz are used to establish whether a steady state of a system of ordinary differential equations is asymptotically stable, by computing the Jacobian of the system and studying the sign of the real part of its eigenvalues. I am interested in determining the stability of positive steady states of reaction networks (using mass-action kinetics), when the values of the reaction rate constants are unknown. To this end, I combine the Routh-Hurwtiz criterion with algebraic parameterizations of the steady state variety. In this talk I will give an overview of this approach, and present algebraic and combinatoric tools used to detect bistability in chemical reaction networks.

Links

Saskia Gutzschebauch

Max-Planck-Institut für Mathematik in den Naturwissenschaften Contact via Mail

Tim Seynnaeve

Max Planck Institute for Mathematics in the Sciences, Leipzig

Rodica Dinu

University of Bucharest

Giulia Codenotti

Freie Universität Berlin

Frank Röttger

Otto-von-Guericke-Universität, Magdeburg