Nontrivial bounds for steady state concentrations

A DICKENSTEIN, M. PÉREZ MILLÁN

Fort Collins

Congreso; SIAM Conference on Applied Algebraic Geometry (AG13); 2013

Society for Industrial and Applied Mathematics

We develop tools from computational algebraic geometry for the study of biochemical reaction networks with mass-action kinetics.If there exists a positive conservation relation involving a given species, one gets a trivial upper bound for its concentration all along the trajectory. Under general conditions, we get better nontrivial upper bounds at steady state, regardless of explicit analytic expressions or the occurrence of multistationarity.