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Area of Science:

  • Biochemistry
  • Chemical Kinetics
  • Enzyme Dynamics

Background:

  • Enzyme turnover is influenced by conformational changes.
  • The Michaelis-Menten (MM) equation is a cornerstone of enzyme kinetics.
  • Understanding deviations from MM kinetics is crucial for complex enzymatic reactions.

Purpose of the Study:

  • To derive a generalized rate equation for enzyme turnover in a conformational nonequilibrium steady state (cNESS).
  • To establish a direct link between non-MM kinetics and underlying conformational dynamics.
  • To provide a framework for predicting and characterizing enzyme cooperativity driven by nonequilibrium conformational dynamics.

Main Methods:

  • Development of a discrete kinetic network model.
  • Application of an integrated probability flux balance method.
  • Derivation of a generalized Michaelis-Menten (MM) rate equation incorporating conformational currents.

Main Results:

  • The generalized MM equation includes non-MM corrections arising from conformational population currents in cyclic kinetic loops.
  • A one-to-one correspondence was established between non-MM terms and unbalanced conformational currents in cyclic loops.
  • Conformational detailed balance leads to the recovery of the traditional MM functional form.

Conclusions:

  • Non-MM behavior and enzyme cooperativity can emerge from nonequilibrium conformational dynamics.
  • The generalized MM equation offers a rigorous approach to studying cNESS enzyme kinetics.
  • This work provides a systematic method for analyzing enzyme behavior beyond the traditional MM framework.