Michaelis-Menten Equation Calculator
Calculate enzyme kinetics parameters using the Michaelis-Menten equation V = (Vmax × [S]) / (Km + [S])
Calculate Enzyme Kinetics
Maximum rate when enzyme is saturated
Initial concentration of substrate
Substrate concentration at half Vmax
Michaelis-Menten Results
Michaelis-Menten Equation: V = (Vmax × [S]) / (Km + [S])
Input values: Vmax: 0 per_second, [S]: 0 M, Km: 0 M
Kinetics Analysis
Example Calculation
Catalase Enzyme Example
Enzyme: Catalase (breaks down hydrogen peroxide)
Vmax: 1.0 × 10⁻³ M/s
Km: 2.5 × 10⁻² M
Substrate concentration [H₂O₂]: 1.0 × 10⁻² M
Calculation
V = (Vmax × [S]) / (Km + [S])
V = (1.0 × 10⁻³ × 1.0 × 10⁻²) / (2.5 × 10⁻² + 1.0 × 10⁻²)
V = (1.0 × 10⁻⁵) / (3.5 × 10⁻²)
V = 2.86 × 10⁻⁴ M/s
Enzyme Kinetics Principles
Enzyme (E)
Biological catalyst
Lowers activation energy
Substrate (S)
Reactant molecule
Binds to enzyme active site
Product (P)
Reaction product
Formed from substrate
Key Parameters
Maximum reaction rate when enzyme is saturated
Substrate concentration at half Vmax (indicates enzyme affinity)
Substrate concentration at given time
Reaction rate at given substrate concentration
Understanding the Michaelis-Menten Equation
What is the Michaelis-Menten Equation?
The Michaelis-Menten equation describes the kinetics of enzyme-catalyzed reactions. It relates the reaction rate to the substrate concentration and provides insights into enzyme behavior and efficiency.
Key Assumptions
- •Enzyme-substrate complex formation is rapid and reversible
- •Product formation is slow compared to ES complex formation
- •Initial reaction conditions (no product inhibition)
- •Single substrate, single product reaction
Equation Forms
V = (Vmax × [S]) / (Km + [S])
Standard form
Vmax = V × (Km + [S]) / [S]
Solve for Vmax
Km = (Vmax × [S] - V × [S]) / V
Solve for Km
Note: Lower Km values indicate higher enzyme affinity for substrate
Reaction Mechanism
E + S ⇄ ES → E + P
Step 1: Enzyme (E) binds substrate (S) to form complex (ES)
Step 2: Complex breaks down to form product (P) and regenerate enzyme