### Abstract

This paper investigates the accuracy of a matrix method proposed by other researchers to calculate time-varying flux control coefficients (dynamic FCCs) from elasticity coefficients by means of summation and connectivity theorems in the framework of metabolic control analysis. A mathematical model for the fed-batch penicillin V fermentation process is used as a case example for discussion. Calculated results reveal that this method produces significant calculation errors because the theorems are essentially valid only in steady state, although it may provide rough time-transient behaviors of FCCs. Strictly, therefore, dynamic FCCs should be directly calculated from the differential equations for metabolite concentrations and sensitivities.

Original language | English |
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Pages (from-to) | 105-114 |

Number of pages | 10 |

Journal | Mathematical Biosciences |

Volume | 223 |

Issue number | 2 |

DOIs | |

Publication status | Published - Feb 1 2010 |

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### All Science Journal Classification (ASJC) codes

- Medicine(all)
- Immunology and Microbiology(all)
- Biochemistry, Genetics and Molecular Biology(all)
- Agricultural and Biological Sciences(all)
- Modelling and Simulation
- Statistics and Probability
- Applied Mathematics

### Cite this

*Mathematical Biosciences*,

*223*(2), 105-114. https://doi.org/10.1016/j.mbs.2009.11.004

**Calculation errors of time-varying flux control coefficients obtained from elasticity coefficients by means of summation and connectivity theorems in metabolic control analysis.** / Shiraishi, Fumihide; Sriyudthsak, Kansuporn; Suzuki, Yusuke.

Research output: Contribution to journal › Article

*Mathematical Biosciences*, vol. 223, no. 2, pp. 105-114. https://doi.org/10.1016/j.mbs.2009.11.004

}

TY - JOUR

T1 - Calculation errors of time-varying flux control coefficients obtained from elasticity coefficients by means of summation and connectivity theorems in metabolic control analysis

AU - Shiraishi, Fumihide

AU - Sriyudthsak, Kansuporn

AU - Suzuki, Yusuke

PY - 2010/2/1

Y1 - 2010/2/1

N2 - This paper investigates the accuracy of a matrix method proposed by other researchers to calculate time-varying flux control coefficients (dynamic FCCs) from elasticity coefficients by means of summation and connectivity theorems in the framework of metabolic control analysis. A mathematical model for the fed-batch penicillin V fermentation process is used as a case example for discussion. Calculated results reveal that this method produces significant calculation errors because the theorems are essentially valid only in steady state, although it may provide rough time-transient behaviors of FCCs. Strictly, therefore, dynamic FCCs should be directly calculated from the differential equations for metabolite concentrations and sensitivities.

AB - This paper investigates the accuracy of a matrix method proposed by other researchers to calculate time-varying flux control coefficients (dynamic FCCs) from elasticity coefficients by means of summation and connectivity theorems in the framework of metabolic control analysis. A mathematical model for the fed-batch penicillin V fermentation process is used as a case example for discussion. Calculated results reveal that this method produces significant calculation errors because the theorems are essentially valid only in steady state, although it may provide rough time-transient behaviors of FCCs. Strictly, therefore, dynamic FCCs should be directly calculated from the differential equations for metabolite concentrations and sensitivities.

UR - http://www.scopus.com/inward/record.url?scp=74149088153&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=74149088153&partnerID=8YFLogxK

U2 - 10.1016/j.mbs.2009.11.004

DO - 10.1016/j.mbs.2009.11.004

M3 - Article

C2 - 19932125

AN - SCOPUS:74149088153

VL - 223

SP - 105

EP - 114

JO - Mathematical Biosciences

JF - Mathematical Biosciences

SN - 0025-5564

IS - 2

ER -