Algebraic Geometry Tools in Systems Biology

A, DICKENSTEIN

Conferencia; Coloquio; 2021

Universidad de los Andes

I will motivate and introduce some methods and concepts of algebraic geometry that are being used in recent years to analyze standard models in molecular biology. The algebraic theory of chemical reaction systems aims to understand their dynamic behavior by taking advantage of the algebraic structure inherent in the kinetic equations, and does not need the a priori determination of the parameters, which can be theoretically or practically impossible. I will also point out some of the mathematical challenges that arise from this application.