Michaelis-Menten Enzyme Kinetics Calculator
Theory & Formulas
→
Enzyme kinetics is the study of the rates of enzyme-catalyzed chemical reactions. The Michaelis-Menten model is one of the simplest and best-known models of enzyme kinetics.
Michaelis-Menten Equation:
V = (Vmax * [S]) / (Km + [S])
Where:
- V: Reaction velocity (or rate).
- Vmax: Maximum reaction velocity, achieved when the enzyme is saturated with substrate.
- [S]: Substrate concentration.
- Km: Michaelis constant. It is the substrate concentration at which the reaction velocity is half of Vmax (V = Vmax/2). Km is an inverse measure of the affinity of the enzyme for its substrate; a lower Km indicates higher affinity.
Significance:
- Vmax reflects the catalytic efficiency of the enzyme under saturating substrate conditions.
- Km provides insight into the enzyme-substrate interaction. It's a characteristic constant for a given enzyme and substrate pair under specific conditions (e.g., temperature, pH).
Lineweaver-Burk Plot (Double Reciprocal Plot):
This is a graphical representation of the Michaelis-Menten equation, obtained by taking the reciprocal of both sides:
1/V = (Km / Vmax) * (1/[S]) + 1/Vmax
This equation is in the form y = mx + c, allowing for easier determination of Vmax (from y-intercept) and Km (from x-intercept or slope) from experimental data plotted as 1/V versus 1/[S].
Instructions
→
- Enter the Maximum Reaction Velocity (Vmax). This value represents the rate of reaction when the enzyme is fully saturated with substrate. It must be a positive number.
- Enter the Michaelis Constant (Km). This is the substrate concentration at which the reaction rate is half of Vmax. It must be a positive number.
- Enter the Substrate Concentration ([S]). This is the concentration of the substrate available for the enzyme. It must be a non-negative number.
- Click the "Calculate Velocity (V)" button.
- The calculated Reaction Velocity (V) and a step-by-step solution will be displayed below.
- An interactive graph will also be generated, visualizing the Michaelis-Menten curve with Vmax, Km, and the calculated point ([S], V) highlighted.
- You can adjust the input values and recalculate to see how the reaction velocity and graph change.
Calculator
Results
Awaiting calculation...
Step-by-Step Solution:
Provide inputs and click calculate.