A residence-time analysis of enzyme kinetics

Area of Science:

• Biochemistry
• Chemical Kinetics
• Computational Biology

Background:

• Enzyme kinetics traditionally relies on steady-state approximations, assuming constant intermediate concentrations.
• Analyzing complex enzymatic reactions and isotopic exchange poses significant challenges with classical methods.

Purpose of the Study:

• To introduce a novel 'first-passage-time' analysis for enzyme kinetics.
• To demonstrate the utility of residence times derived from this method for analyzing isotopic exchange.
• To provide a stochastic alternative to the classical steady-state approximation in enzyme kinetics.

Main Methods:

• Application of first-passage-time analysis to enzyme kinetics.
• Calculation of residence times using a simple linear mean.
• Numerical evaluation of complex enzymatic models.

Main Results:

• Residence times are directly related to steady-state parameters.
• The method is particularly useful for analyzing isotopic exchange.
• The stochastic approach avoids the classical steady-state approximation.

Conclusions:

• First-passage-time analysis offers a valuable alternative for studying enzyme kinetics.
• This method simplifies the numerical evaluation of complex models.
• The definition of steady state is redefined as the randomization of enzyme states post-mixing.