Algebraic methods for the study of biochemical reaction networks II

MERCEDES PÉREZ MILLÁN

CABA

Workshop; Escuela: A systems approach to biology; 2018

CELFI

Biochemical reactionnetworks give rise, through mass-action kinetics, to polynomialdynamical systems. With the aid of algebraicmethods, many results can be obtained regardless of the parameters in the kinetic equations, by exploitingthe structure of the network. Thesteady states of a biochemical system are oneimportant aspect to address.I will show an algorithm that determineswhether a certain well structured post-translational modificationsystem (called s-toric MESSI system) hasthe capacity for multistationarity, and when it does, it ispossible to find two different positivesteady states and reaction rate constants that witnessmultistationarity. I will also comment on some other tools fordetecting multistationarity, based on degree theory. Finally, I willfocus on a different aspect of biochemical equations that can also beaddressed by algebraic tools: the identifiability of the parametersby measuring areduced set of biologically relevant species. I will apply theseresults to a specific biological system: the phosphorylationsignaling cascade.