Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4500510 | Mathematical Biosciences | 2010 | 10 Pages |
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.
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Authors
Fumihide Shiraishi, Kansuporn Sriyudthsak, Yusuke Suzuki,