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Nonlinear dynamic processes in open single enzyme systems

G Hübner1, P Wolna

  • 1Institut für Biochemie, Martin-Luther-Universität Halle-Wittenberg.

Biological Chemistry Hoppe-Seyler
|January 1, 1994
PubMed
Summary
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Chemical oscillations and overshoot phenomena in enzyme reactions were theoretically predicted and experimentally verified. These dynamic behaviors were observed in pyruvate decarboxylase and pyruvate dehydrogenase reactions, specifically for the substrate pyruvate.

Area of Science:

  • Biochemistry
  • Chemical Kinetics
  • Enzyme Kinetics

Background:

  • Chemical oscillations are theoretical predictions in open enzyme systems with regulatory enzymes exhibiting slow substrate activation.
  • Such systems can be modeled using two ordinary differential equations to describe time evolution.

Purpose of the Study:

  • To theoretically predict and experimentally verify chemical oscillations and overshoot phenomena in enzyme systems.
  • To analyze the conditions leading to oscillations or overshoot in substrate concentration.

Main Methods:

  • Theoretical prediction using two ordinary differential equations.
  • Numerical simulations to analyze conditions for oscillations and overshoot.
  • Experimental verification in pyruvate decarboxylase and pyruvate dehydrogenase reactions.

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Main Results:

  • Theoretical conditions for oscillations or overshoot phenomena were analyzed via numerical simulation.
  • Experimental evidence confirmed damped oscillations or overshoot in regulatory enzyme reactions open to substrate.
  • The substrate pyruvate exhibited strongly damped oscillations below its Km-value in tested reactions.

Conclusions:

  • Damped oscillations and overshoot phenomena are experimentally validated in specific regulatory enzyme systems.
  • These dynamic behaviors are observed in pyruvate decarboxylase and pyruvate dehydrogenase reactions.
  • Pyruvate concentration shows damped oscillations below the Km-value, confirming theoretical predictions.