### Abstract

The reaction kinetic realizations of nonnegative polynomial systems are studied in this paper. It is briefly reviewed that a wide class of positive systems can be written in or simply transformed to kinetic form. Based on the structure of kinetic realizations, valuable information can be obtained about the dynamical properties of the investigated systems using the results of chemical reaction network theory (CRNT). Since the realizations of a given system can have many different structures, mixed integer linear programming is used to generate the ones with required properties (i.e. the minimal/maximal number of reactions or complexes).

Original language | English |
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Title of host publication | IFAC Proceedings Volumes (IFAC-PapersOnline) |

Pages | 981-986 |

Number of pages | 6 |

DOIs | |

Publication status | Published - 2010 |

Event | 8th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2010 - Bologna, Italy Duration: Sep 1 2010 → Sep 3 2010 |

### Other

Other | 8th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2010 |
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Country | Italy |

City | Bologna |

Period | 9/1/10 → 9/3/10 |

### Fingerprint

### Keywords

- Chemical reaction networks
- Mixed integer optimization
- Nonlinear systems
- Positive systems

### ASJC Scopus subject areas

- Control and Systems Engineering

### Cite this

*IFAC Proceedings Volumes (IFAC-PapersOnline)*(pp. 981-986) https://doi.org/10.3182/20100901-3-IT-2016.00108

**Computing reaction kinetic realizations of positive nonlinear systems using mixed integer programming.** / Szederkényi, G.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*IFAC Proceedings Volumes (IFAC-PapersOnline).*pp. 981-986, 8th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2010, Bologna, Italy, 9/1/10. https://doi.org/10.3182/20100901-3-IT-2016.00108

}

TY - GEN

T1 - Computing reaction kinetic realizations of positive nonlinear systems using mixed integer programming

AU - Szederkényi, G.

PY - 2010

Y1 - 2010

N2 - The reaction kinetic realizations of nonnegative polynomial systems are studied in this paper. It is briefly reviewed that a wide class of positive systems can be written in or simply transformed to kinetic form. Based on the structure of kinetic realizations, valuable information can be obtained about the dynamical properties of the investigated systems using the results of chemical reaction network theory (CRNT). Since the realizations of a given system can have many different structures, mixed integer linear programming is used to generate the ones with required properties (i.e. the minimal/maximal number of reactions or complexes).

AB - The reaction kinetic realizations of nonnegative polynomial systems are studied in this paper. It is briefly reviewed that a wide class of positive systems can be written in or simply transformed to kinetic form. Based on the structure of kinetic realizations, valuable information can be obtained about the dynamical properties of the investigated systems using the results of chemical reaction network theory (CRNT). Since the realizations of a given system can have many different structures, mixed integer linear programming is used to generate the ones with required properties (i.e. the minimal/maximal number of reactions or complexes).

KW - Chemical reaction networks

KW - Mixed integer optimization

KW - Nonlinear systems

KW - Positive systems

UR - http://www.scopus.com/inward/record.url?scp=80051775939&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80051775939&partnerID=8YFLogxK

U2 - 10.3182/20100901-3-IT-2016.00108

DO - 10.3182/20100901-3-IT-2016.00108

M3 - Conference contribution

AN - SCOPUS:80051775939

SN - 9783902661807

SP - 981

EP - 986

BT - IFAC Proceedings Volumes (IFAC-PapersOnline)

ER -