Session A2 - Computational Algebraic Geometry
July 12, 15:00 ~ 15:25 - Room B5
On the solutions to polynomials systems arising from chemical reaction networks
University of Copenhagen, Denmark - firstname.lastname@example.org
Under the law of mass-action, the dynamics of the concentration of biochemical species over time is modelled using polynomial dynamical systems, which often have parameterised coefficients. The steady states, or equilibrium points, of the system are the solutions to a parameterised family of systems of polynomial equations. Because only nonnegative concentrations are meaningful in applications, one aims at finding the nonnegative solutions to these systems. In the talk I will present a result on finding parameter regions for which the steady state equations admit multiple solutions, and discuss the existence of positive parameterisations of the set of steady states.
Joint work with Carsten Conradi (HTW Berlin), Maya Mincheva (Northern Illinois University), Meritxell Sáez (University of Copenhagen), Carsten Wiuf (University of Copenhagen).