A new method to characterize saturation functions by their first four moments

Area of Science:

• Biochemistry
• Pharmacology
• Enzyme kinetics

Background:

• Enzyme and receptor models are crucial for understanding biological processes.
• Classical methods for characterizing these models include graphical analysis and specific coefficients.
• These methods can be model-dependent and complex to interpret.

Purpose of the Study:

• To propose a novel method for describing enzyme and receptor model properties using moments of saturation functions.
• To review and calculate these moments for established models like Langmuir, Michaelis-Menten, and Hill equations.
• To extend the method to more complex scenarios, including the Adair equation and binding site heterogeneity.

Main Methods:

• Calculation of the first four moments of saturation functions.
• Application of the method to analyze standard enzyme kinetics equations (Langmuir, Michaelis-Menten, Hill).
• Extension of moment calculations to the Adair equation and models with binding site heterogeneity.

Main Results:

• The first four moments provide a comprehensive description of saturation functions.
• Moments were successfully calculated for various established and complex models.
• The proposed method offers a model-independent characterization of saturation curves.

Conclusions:

• The calculation of saturation function moments presents a robust and versatile approach for analyzing enzyme and receptor models.
• This method simplifies the characterization by yielding a single, model-independent value.
• It offers advantages over traditional methods, particularly for complex binding scenarios.