### Abstract

In this paper, a model reduction procedure is proposed for the simplification of biochemical reaction network models. The approach is capable of reducing ODE models where the right hand side of the equations contains polynomial and/or rational function terms. The method is based on a finite number of mixed integer quadratic programming (MIQP) steps where the objective function effectively measures the fit between the time functions of the selected concentrations of the original and the reduced models, and the integer variables keep track of the presence of individual reactions. The procedure also contains the re-estimation of rate coefficients in the reduced model to minimize the defined model error. Two examples taken from the literature illustrate the operation of the method.

Original language | English |
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Title of host publication | 2013 European Control Conference, ECC 2013 |

Pages | 4478-4483 |

Number of pages | 6 |

Publication status | Published - 2013 |

Event | 2013 12th European Control Conference, ECC 2013 - Zurich, Switzerland Duration: Jul 17 2013 → Jul 19 2013 |

### Other

Other | 2013 12th European Control Conference, ECC 2013 |
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Country | Switzerland |

City | Zurich |

Period | 7/17/13 → 7/19/13 |

### Fingerprint

### ASJC Scopus subject areas

- Control and Systems Engineering

### Cite this

*2013 European Control Conference, ECC 2013*(pp. 4478-4483). [6669424]

**Model reduction in bio-chemical reaction networks with Michaelis-Menten kinetics.** / Hangos, K.; Gabor, Attila; Szederkényi, G.

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

*2013 European Control Conference, ECC 2013.*, 6669424, pp. 4478-4483, 2013 12th European Control Conference, ECC 2013, Zurich, Switzerland, 7/17/13.

}

TY - GEN

T1 - Model reduction in bio-chemical reaction networks with Michaelis-Menten kinetics

AU - Hangos, K.

AU - Gabor, Attila

AU - Szederkényi, G.

PY - 2013

Y1 - 2013

N2 - In this paper, a model reduction procedure is proposed for the simplification of biochemical reaction network models. The approach is capable of reducing ODE models where the right hand side of the equations contains polynomial and/or rational function terms. The method is based on a finite number of mixed integer quadratic programming (MIQP) steps where the objective function effectively measures the fit between the time functions of the selected concentrations of the original and the reduced models, and the integer variables keep track of the presence of individual reactions. The procedure also contains the re-estimation of rate coefficients in the reduced model to minimize the defined model error. Two examples taken from the literature illustrate the operation of the method.

AB - In this paper, a model reduction procedure is proposed for the simplification of biochemical reaction network models. The approach is capable of reducing ODE models where the right hand side of the equations contains polynomial and/or rational function terms. The method is based on a finite number of mixed integer quadratic programming (MIQP) steps where the objective function effectively measures the fit between the time functions of the selected concentrations of the original and the reduced models, and the integer variables keep track of the presence of individual reactions. The procedure also contains the re-estimation of rate coefficients in the reduced model to minimize the defined model error. Two examples taken from the literature illustrate the operation of the method.

UR - http://www.scopus.com/inward/record.url?scp=84893322587&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84893322587&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84893322587

SN - 9783033039629

SP - 4478

EP - 4483

BT - 2013 European Control Conference, ECC 2013

ER -