### 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 |

### 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

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## Cite this

*Mathematical Biosciences*,

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