Simulation of Biochemical Pathways and its Application to Biology and Medicine

  • Otto Richter
  • Augustin Betz
Part of the Lecture Notes in Biomathematics book series (LNBM, volume 11)


In recent years quantitative data on biochemical pathways have accumulated up to a point where a detailed mathematical analysis of multi-enzymesystems concerning their dynamics and regulatory properties has become possible: the knowledge of the structure of a pathway, its metabolite scheme, the pool sizes involved, and the kinetic laws of its enzymes enable its mathematical description in terms of coupled non-linear differential equations.

In the following paper the general form of the basic kinetic equations containing all species of a multienzymesystem is represented. Assuming a stationary state hypothesis for the enzyme species these equations are reduced to a system of conservation equations for the fluxes of substrates and intermediates whose terms consist of the kinetic laws of the corresponding enzymes.

Two examples of application in biology and medicine are given: simulation of glycolytic oscillations and simulation of allopurinol-therapy in hyperuricemia, e. d., the action of allopurinol on the last two steps in purine degradation.


Uric Acid Serum Uric Acid Energy Charge Enzyme Species Multienzyme System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of abbreviations


Hexokinase (E.C.


Phosphofructokinase (S.C.






Adenosin (tri, di, mono) phosphate






kinetic law of enzyme x




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Copyright information

© Springer-Verlag Berlin · Heidelberg 1976

Authors and Affiliations

  • Otto Richter
    • 1
    • 2
  • Augustin Betz
    • 1
    • 2
  1. 1.Medizinische Einrichtungen, Institut für Medizinische Statistik und BiomathematikUniversität DüsseldorfDüsseldorfGermany
  2. 2.Botanisches InstitutUniversität BonnBonnGermany

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