LearnChemE

Steady-state Approximation and Rate-determining Step: Interactive Simulation

This simulation was prepared using Mathematica. Download the free Wolfram player, and then download the simulation CDF file (link given below or click on figure to download). 

Michaelis-Menten enzyme kinetics is a model for rate equations that has a closed-form solution for the concentrations of reactants and products in an enzymatic reaction. Both the results obtained via the Michaelis-Menten steady-state approximation (dotted lines), and those obtained via numerical integration (solid lines) are displayed.

You can explore a wide variety of conditions, including initial concentrations, rate constants, and variations of the catalytic mechanism, and observe the effects of these combinations of parameters on the time evolution of the reactants and products. Both the results obtained via the Michaelis-Menten steady-state approximation (dotted lines), and those obtained via numerical integration (solid lines) are displayed. This allows you to get first-hand experience as to which combinations of parameters lead to deviations of the approximate solutions from the numerical solutions. This can give you an idea of conditions under which the Michaelis-Menten analysis is sufficiently accurate.

Author: Brian M. Frezza. Open content licensed under CC BY-NC-SA.