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A new Michaelis-Menten equation valid everywhere multi-scale dynamics prevails.

Dimitris G Patsatzis1, Dimitris A Goussis2

  • 1School of Mathematical and Physical Sciences, National Technical University of Athens, Athens, 15780, Greece.

Mathematical Biosciences
|July 1, 2019
PubMed
Summary

A new enzyme kinetics model offers a more comprehensive rate expression, expanding upon the classic Michaelis-Menten model. This improved biochemical model provides greater accuracy across a wider range of conditions.

Keywords:
CSPMichaelis-MentenReduced modelrQSSAsQSSA

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Area of Science:

  • Biochemistry
  • Enzyme Kinetics
  • Chemical Kinetics

Background:

  • The Michaelis-Menten model is foundational in enzyme kinetics but has limitations in its range of validity.
  • Previous extensions to the Michaelis-Menten equation also possess restricted applicability.
  • Understanding the physical insights derived from rate expressions is crucial for biochemical analysis.

Purpose of the Study:

  • To introduce a novel expression for enzyme-catalyzed reaction rates.
  • To develop a rate expression with validity across nearly the entire parameter space.
  • To provide a tool applicable to more complex kinetic mechanisms.

Main Methods:

  • Utilized algorithmic tools for asymptotic analysis.
  • Developed a new mathematical expression for reaction rates.
  • Analyzed the limits of the new expression to recover existing models.

Main Results:

  • Introduced a new rate expression valid in practically the full parameter space.
  • Demonstrated that the new expression reduces to established models in appropriate limits.
  • The construction of the expression is independent of model complexity and parameter range.

Conclusions:

  • The new expression offers a more universally applicable description of enzyme kinetics.
  • Algorithmic asymptotic analysis provides a powerful approach for deriving complex kinetic models.
  • This methodology can be extended to derive rate expressions for more intricate biochemical mechanisms.