INVESTIGADORES
DICKENSTEIN Alicia Marcela
congresos y reuniones científicas
Título:
Computational algebraic geometry and biochemical reaction networks
Autor/es:
A. DICKENSTEIN
Lugar:
Copenhaguen
Reunión:
Conferencia; Colloquium; 2014
Institución organizadora:
Universidad de Copenhaguen
Resumen:
In recent years, techniques from
computational algebraic geometry have been successfully used 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. Biologically-relevant steady states
correspond thus to the positive real solutions of a structured system of
polynomial equations. The nonlinearities usually prevent a mathematical
analysis of network behaviour, which has largely been studied by numerical
simulation.
The algebraic theory of
chemical reaction systems aims to understand the dynamic behaviour of
(bio)chemical reaction networks by taking advantage of the inherent algebraic
structure in the kinetic equations, and does not need an a priori determination
of the parameters, which can be practically and theoretically impossible. I
will present a gentle introduction to the basic concepts and main questions,
together with applications to enzymatic mechanisms.
