Title :
A tutorial on Chemical Reaction Networks dynamics
Author_Institution :
Dept. of Electr. & Electron. Eng., Imperial Coll. London, London, UK
Abstract :
Chemical Reaction Networks (CRN for short) can be effectively modeled by means of nonlinear, parameter-dependent systems of ordinary differential equations. The uncertain knowledge of parameters makes for the need of qualitative tools which relate structure and dynamics of such nonlinear systems. We present an account of different results which allow to claim properties such as global asymptotic stability, persistence, monotonicity and existence of a unique equilibrium on the basis of graphical representations of the network.
Keywords :
biochemistry; molecular biophysics; molecular configurations; nonlinear differential equations; chemical reaction networks; global asymptotic stability; graphical representations; monotonicity; nonlinear systems; ordinary differential equations; parameter-dependent systems; persistence; Artificial neural networks; Chemicals; Decision support systems; Europe; Silicon; Tutorials;
Conference_Titel :
Control Conference (ECC), 2009 European
Conference_Location :
Budapest
Print_ISBN :
978-3-9524173-9-3