Biochemical reaction networks: an invitation for algebraic geometers

A. DICKENSTEIN

CONTEMPORARY MATHEMATICS

American Mathematical Society

Año: 2016 vol. 656 p. 65 - 83

0271-4132

This article is a survey of the recent use of some techniques from computationalalgebraic geometry to address mathematical challenges in systems biology.(Bio)chemical reaction networks dene systems of ordinary differential equations with many parameters, which are needed for numerical simulations but that can be practically or provably impossible to identify. Under the standard modeling of mass-action kinetics, these equations depend polynomially on the concentrations of the chemical species. The algebraic theory of chemical reaction systems provides new tools to understand the dynamical behavior of (families of) chemical reaction systems by taking advantage of the inherent algebraic structure in the (parametric) kinetic equations.