Batch Enzyme Kinetics Reaction Time

Maximum rate of reaction at saturating substrate concentration. Units must be consistent (e.g., M/min, μmol/L/s).
Substrate concentration at which reaction velocity is half of Vm. Must have same concentration units as S0 and S.
Starting substrate concentration. Must have same units as Km and S.
Target final substrate concentration. Must be less than S0 and have same units.

Calculation Explanation

This calculator determines the time (t) required for a batch enzymatic reaction, following Michaelis-Menten kinetics, to reduce the substrate concentration from an initial value [S0] to a final value [S].

Integrated Michaelis-Menten Equation (Eq 3.16):
Vm ⋅ t = [S0] - [S] + Km ⋅ ln([S0] / [S])

Rearranging to solve for time (t):
t = (1 / Vm) ⋅ ( ([S0] - [S]) + Km ⋅ ln([S0] / [S]) )

Where:

Ensure consistent units for Vm, Km, [S0], and [S]. The units of the calculated time 't' will be the inverse of the time unit used in Vm.

Eadie-Hofstee Plot Visualization

This plot shows the linear relationship V = -Km(V/[S]) + Vm based on your input Vm and Km. The y-intercept is Vm, the x-intercept is Vm/Km, and the slope is -Km.

Note: This is a theoretical plot based on the input parameters, not derived from experimental data points.