Computational algebraic geometry and biochemical reaction networks

A. DICKENSTEIN

Saarbrucken

Congreso; Tropical Geometry and Computational Biology; 2011

U. Saarbrucken, Alemania

p { margin-bottom: 0.21cm; } This talk will be a gentle introduction to the use of computational algebraic geometry tools for the study of biochemical reaction networks. We will show that the steady states of the chemical reaction systems associated to multisite phosphorylations of a protein by a kinase/phosphatase pair in a sequential and distributive mechanism are described by binomial equations, and can thus be explicitly parametrized by monomials. This result is implicit in [Wang and Sontag, 2008] and it is a particular case of [Thomson and Gunawardena, 2009]. We will moreover give sufficient conditions for any chemical reaction system to have this property and to allow for multistationarity. We call these systems chemical reaction systems with toric steady states. This is joint work with Mercedes Pérez Millán, Anne Shiu and Carsten Conradi.