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

Fumihide Shiraishi, Kansuporn Sriyudthsak, Yusuke Suzuki

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4 Citations (Scopus)

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 languageEnglish
Pages (from-to)105-114
Number of pages10
JournalMathematical Biosciences
Volume223
Issue number2
DOIs
Publication statusPublished - Feb 1 2010

Fingerprint

Elasticity
elasticity (mechanics)
Summation
Time-varying
Connectivity
penicillin V
Penicillin V
Fluxes
Fermentation
Transient Behavior
Matrix Method
Coefficient
Metabolites
Theorem
Batch
Rough
Differential equations
Theoretical Models
mathematical models
Strictly

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

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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.

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