INVESTIGADORES
DICKENSTEIN Alicia Marcela
congresos y reuniones científicas
Título:
Computational algebraic geometry and biochemical reaction networks
Autor/es:
A, DICKENSTEIN
Lugar:
Alcalá de Henares
Reunión:
Congreso; EACA meeting 2012; 2012
Institución organizadora:
Universidad de Alcalá
Resumen:
We will report about the introduction of
techniques from computational algebraic geometry to address mathematical
challenges in systems biology. (Bio)chemical reaction networks define systems
of ordinary differential equations with (in general, unknown) parameters. Under
mass-action kinetics, these equations depend polynomially on the concentrations
of the chemical species. The nonlinearities usually prevent a mathematical
analysis of network behaviour, which has largely been studied by numerical simulation
and lacks a more comprehensive study of the dependence on the parameters. The
algebraic theory of chemical reaction systems aims to understand the dynamical
behavior of chemical reaction systems by taking advantage of the inherent
algebraic structure in the kinetic equations, and does not need a priori
determination of the parameters, which can be practically and theoretically
impossible.