Michaelis Constant in Presence of Uncompetitive Inhibitor Calculator

Michaelis Constant Formula:

\[ K_M = \frac{S \times (V_{max} - (V_0 \times \alpha'))}{V_0} \]

Substrate Concentration (S):

mol/m³

Maximum Rate (V_max):

mol/m³·s

Initial Reaction Rate (V₀):

mol/m³·s

Enzyme Substrate Modifying Factor (α'):

Michaelis Constant (K_M): mol/m³

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1. What is Michaelis Constant in Presence of Uncompetitive Inhibitor?

Definition: The Michaelis Constant (K_M) is numerically equal to the substrate concentration at which the reaction rate is half of the maximum rate of the system.

Purpose: This calculator determines the modified Michaelis Constant when an uncompetitive inhibitor is present in the enzyme reaction.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ K_M = \frac{S \times (V_{max} - (V_0 \times \alpha'))}{V_0} \]

Where:

\( K_M \) — Michaelis Constant (mol/m³)
\( S \) — Substrate Concentration (mol/m³)
\( V_{max} \) — Maximum Rate (mol/m³·s)
\( V_0 \) — Initial Reaction Rate (mol/m³·s)
\( \alpha' \) — Enzyme Substrate Modifying Factor

Explanation: The formula accounts for the effect of uncompetitive inhibition on the Michaelis-Menten kinetics.

3. Importance of Michaelis Constant Calculation

Details: Understanding the modified K_M helps in studying enzyme kinetics, designing experiments, and developing inhibitors for therapeutic purposes.

4. Using the Calculator

Tips: Enter the substrate concentration, maximum rate, initial reaction rate, and enzyme substrate modifying factor (default 1). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is an uncompetitive inhibitor?
A: An uncompetitive inhibitor binds only to the enzyme-substrate complex, not to the free enzyme.

Q2: How does α' affect the Michaelis Constant?
A: The modifying factor α' increases the apparent K_M in the presence of an uncompetitive inhibitor.

Q3: What are typical units for these measurements?
A: Concentrations are in mol/m³, rates in mol/m³·s, and K_M in mol/m³.

Q4: When would I need to calculate this modified K_M?
A: When studying enzyme kinetics in the presence of inhibitors or comparing inhibited vs uninhibited reactions.

Q5: Can this calculator be used for competitive inhibition?
A: No, competitive inhibition uses a different formula for the modified K_M.