### Abstract

Component mass conservation gives a linear first integral to the dynamic reaction kinetic equations and greatly influences the set of admissible reactions. Therefore, mass conservation can be related to the deficiency of the reaction network and thus to its dynamic properties. In particular, it is shown that a mass conserving CRN without isomers and with a full rank complex composition matrix has zero deficiency. The concepts and results are illustrated on the example of the original and the lumped version of Michaelis-Menten kinetics.

Original language | English |
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Title of host publication | 1st IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory, TFMST 2013 - Proceedings |

Pages | 30-35 |

Number of pages | 6 |

Edition | PART 1 |

DOIs | |

Publication status | Published - Oct 21 2013 |

Event | 1st IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory, TFMST 2013 - Lyon, France Duration: Jul 13 2013 → Jul 16 2013 |

### Publication series

Name | IFAC Proceedings Volumes (IFAC-PapersOnline) |
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Number | PART 1 |

Volume | 1 |

ISSN (Print) | 1474-6670 |

### Other

Other | 1st IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory, TFMST 2013 |
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Country | France |

City | Lyon |

Period | 7/13/13 → 7/16/13 |

### Keywords

- Chemical variables control
- Graph theoretic models
- Modelling
- Process control
- Structural stability

### ASJC Scopus subject areas

- Control and Systems Engineering

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## Cite this

Hangos, K. M., & Szederkényi, G. (2013). The effect of conservation on the dynamics of chemical reaction networks. In

*1st IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory, TFMST 2013 - Proceedings*(PART 1 ed., pp. 30-35). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 1, No. PART 1). https://doi.org/10.3182/20130714-3-FR-4040.00008