# Modeling and analysis of mass-action kinetics

@article{Chellaboina2009ModelingAA, title={Modeling and analysis of mass-action kinetics}, author={VijaySekhar Chellaboina and Sanjay P. Bhat and Wassim M. Haddad and Dennis S. Bernstein}, journal={IEEE Control Systems}, year={2009}, volume={29} }

Mass-action kinetics are used in chemistry and chemical engineering to describe the dynamics of systems of chemical reactions, that is, reaction networks. These models are a special form of compartmental systems, which involve mass- and energy-balance relations. Aside from their role in chemical engineering applications, mass-action kinetics have numerous analytical properties that are of inherent interest from a dynamical systems perspective. Because of physical considerations, however, mass…

## 172 Citations

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A frequently used representation of mass-action type reaction networks is extended to a more general system class where the reaction rates are in rational function form and it is shown that under some technical assumptions, the so-called dense realization containing the maximal number of reactions, forms a super-structure.

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The concepts of chemical reaction network theory are extended for biochemical reactions and a model reduction method for large scale kinetic networks is proposed, and a global optimization method is proposed together with regularization techniques.

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