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Parametric Polynomial Systems and Biochemical Reaction Networks

Offered By: Society for Industrial and Applied Mathematics via YouTube

Tags

Applied Mathematics Courses Ordinary Differential Equations Courses Cell Signaling Courses

Course Description

Overview

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Explore a seminar on parametric polynomial systems and biochemical reaction networks presented by Elisenda Feliu from the University of Copenhagen. Delve into the dynamics of chemical species concentrations modeled by parameter-dependent ordinary differential equations. Learn about the theory of reaction networks and the study of steady states through positive solutions to parametric polynomial systems. Examine the concept of multistationarity and recent findings on determining and analyzing parameter regions with multiple positive solutions. Investigate a challenging case example from cell signaling, the dual futile cycle, and discover unresolved questions in this relatively small network. Gain insights into applied geometry and algebra in the context of biochemical systems during this 47-minute presentation, moderated by Kathlén Kohn from KTH Royal Institute of Technology.

Syllabus

Seminar on Applied Geometry and Algebra (SIAM SAGA): Elisenda Feliu


Taught by

Society for Industrial and Applied Mathematics

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