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Published in:
2011 | OriginalPaper | Chapter
A Port-Hamiltonian Formulation of Open Chemical Reaction Networks
Authors : Arjan van der Schaft, Bernhard Maschke
Published in: Advances in the Theory of Control, Signals and Systems with Physical Modeling
Publisher: Springer Berlin Heidelberg
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This paper discusses the geometric formulation of the dynamics of chemical reaction networks within the port-Hamiltonian formalism [10, 9, 6]. The basic idea dates back to the innovative work of Oster, Perselson and Katchalsky [8, 7]. The main contribution concerns the formulation of a Dirac structure based on the stoichiometric matrix, which is underlying the port-Hamiltonian formulation. Interaction with the environment is modelled through the boundary metabolites and their boundary fluxes and affinities. This allows a compositional view on chemical reaction network dynamics.