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SIAM SAGA - Seminar on Applied Geometry and Algebra
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Date: Tuesday, May 11 at 11:00am Eastern time zone

Speaker: Elisenda Feliu, University of Copenhagen

Title: Parametric polynomial systems and biochemical reaction networks

Abstract: In the context of (bio)chemical reaction networks, the dynamics of the concentrations of the chemical species over time are often modelled by a system of parameter-dependent ordinary differential equations, which are typically polynomial or described by rational functions. The study of the steady states of the system translates then into the study of the positive solutions to a parametric polynomial system. In this talk I will start by shortly presenting the formalism of the theory of reaction networks. Afterwards I will focus on the study of the parameter region where the relevant parametric system admits at least two positive solutions (a property termed multistationarity). I will show recent results on how to determine the region and whether it is connected. A ubiquitous and challenging network from cell signaling (the dual futile cycle) will be used as a case example. For this network, which is relatively small, several basic questions remain unresolved.

Moderator: Kathlén Kohn, KTH Royal Institute of Technology
Jul 13, 2021 11:00 AM
Aug 10, 2021 11:00 AM
Sep 14, 2021 11:00 AM
Oct 12, 2021 11:00 AM
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Elisenda Feliu
Professor @University of Copenhagen
Elisenda is an associate professor at the Department of Mathematical Sciences at the University of Copenhagen. She holds a PhD in Mathematics from the University of Barcelona (2007), after which she decided to reorient her research career into mathematical biology, and took a Master in Bioinformatics, also in Barcelona (2008). Since 2010 she has been developing theory to study polynomial systems arising in models of biochemical reaction networks. She was one of the recipients of the prestigious Sapere Aude starting grant from the Independent Research Fund of Denmark in 2014, and was a member of the Young Academy of Denmark (2015-2020). She is currently a board member of the European Society of Mathematical and Theoretical Biology.