Irreversible port-Hamiltonian Approach to Modeling and Analyzing of Non-isothermal Chemical Reaction Networks

Authors

Li Wang, Bernhard Maschke, Arjan van der Schaft

Abstract

Inspired by great advances on the mathematical structure of chemical reaction networks governed by mass action kinetics and by one of the main features of Irreversible port-Hamiltonian formulation that the thermodynamic principles could be presented clearly and directly in its structure, the aim of our work is to utilize the Irreversible port-Hamiltonian formulation to study chemical reaction networks in non-isothermal case, including modeling, equilibrium and asymptotic stability.

Keywords

Chemical reaction network; Irreversible port Hamiltonian systems; Equilibrium; Lyapunov function; Asymptotic stability

Citation

Journal: IFAC-PapersOnLine
Year: 2016
Volume: 49
Issue: 26
Pages: 134–139
Publisher: Elsevier BV
DOI: 10.1016/j.ifacol.2016.12.115
Note: Foundations of Systems Biology in Engineering - FOSBE 2016- Magdeburg, Germany, 9—12 October 2016

BibTeX

@article{Wang_2016,
  title={{Irreversible port-Hamiltonian Approach to Modeling and Analyzing of Non-isothermal Chemical Reaction Networks}},
  volume={49},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2016.12.115},
  number={26},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Wang, Li and Maschke, Bernhard and van der Schaft, Arjan},
  year={2016},
  pages={134--139}
}

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