A Port-Hamiltonian Formulation of Open Chemical Reaction Networks

Authors

Arjan van der Schaft, Bernhard Maschke

Abstract

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.

Keywords

Reaction Network; Resistive Relation; Dirac Structure; Bond Graph; Stoichiometric Matrix

Citation

• ISBN: 9783642161346
• Publisher: Springer Berlin Heidelberg
• DOI: 10.1007/978-3-642-16135-3_27

BibTeX

@inbook{van_der_Schaft_2010,
  title={{A Port-Hamiltonian Formulation of Open Chemical Reaction Networks}},
  ISBN={9783642161353},
  ISSN={1610-7411},
  DOI={10.1007/978-3-642-16135-3_27},
  booktitle={{Advances in the Theory of Control, Signals and Systems with Physical Modeling}},
  publisher={Springer Berlin Heidelberg},
  author={van der Schaft, Arjan and Maschke, Bernhard},
  year={2010},
  pages={339--348}
}

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References

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