Control Coefficients and the Matrix Method

  • David A. Fell
  • Herbert M. Sauro
  • J. Rankin Small
Part of the NATO ASI Series book series (NSSA, volume 190)


When we developed the matrix method (Fell & Sauro, 1985), we were aiming to find a quick route for the evaluation of flux control coefficients in terms of elasticities, either algebraically for the general case, or numerically in specific instances where the values of the elasticities were known. Our starting points were the summation and connectivity theorems for flux control coefficients of Kacser & Burns (1973), as these seemed to offer a route to the answer using less information about the pathway than the method of Heinrich & Rapoport (1974). Kacser & Bums (1973) had derived these relationships for a general metabolic system, though the specific example treated in their paper was a linear pathway. Their methods of deriving expressions for flux control coefficients could be applied to other pathways [for example, a branched pathway: Kacser (1983)1, but on a case by case argument from first principles.


Branch Point Matrix Method Control Coefficient Metabolic Control Analysis Flux Control Coefficient 
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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • David A. Fell
    • 1
  • Herbert M. Sauro
    • 2
  • J. Rankin Small
    • 3
  1. 1.School of Biological and Molecular SciencesOxford PolytechnicOxfordUK
  2. 2.Department of GeneticsUniversity of EdinburghEdinburghUK
  3. 3.Department of MicrobiologyUniversity of GroningenHarenThe Netherlands

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