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Michaelis-Menten & Lineweaver-Burk Inhibition Calculator

Enzyme kinetics quantify the catalytic velocity of biochemical reactions as a function of substrate concentration and inhibitor presence.

Uninhibited maximal catalytic velocity.

Substrate concentration at half-maximal velocity.

Free substrate concentration in assay.

Inhibitor concentration in assay.

Inhibitor dissociation equilibrium constant.

Type of reversible enzyme inhibition.

Calculated Result
45.45 nmol/min

Initial Reaction Rate (v₀)

Apparent Km (Km_app)

60.00 µM

Apparent Vmax (Vmax_app)

100.00 nmol/min

Lineweaver-Burk Slope

0.6000

Calculation Breakdown

  1. α = 1 + [I]/Ki3.00
  2. v₀ = (Vmax_app · [S]) / (Km_app + [S])45.45 nmol/min
  3. Slope = Km_app / Vmax_app0.6000

What Is the Michaelis-Menten & Lineweaver-Burk Inhibition Calculator?

Michaelis-Menten kinetics model the hyperbolic relationship between enzymatic rate and substrate concentration.

Lineweaver-Burk plots linearize this relationship into reciprocal space to diagnose drug inhibition modes.

How Does the Michaelis-Menten & Lineweaver-Burk Inhibition Calculator Work?

Applies the modifier factor alpha = 1 + [I]/Ki.

Modifies Km and Vmax based on competitive, uncompetitive, or noncompetitive rules.

Computes the instantaneous reaction velocity and Lineweaver-Burk slope.

Michaelis-Menten & Lineweaver-Burk Inhibition Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

v = \frac{V_{max}^{app} [S]}{K_m^{app} + [S]}, \quad \frac{1}{v} = \frac{K_m^{app}}{V_{max}^{app}} \frac{1}{[S]} + \frac{1}{V_{max}^{app}}

Lineweaver-Burk double reciprocal transformation of Michaelis-Menten inhibition kinetics.

How to Use the Michaelis-Menten & Lineweaver-Burk Inhibition Calculator

  1. Enter uninhibited Vmax and Km values.
  2. Specify current substrate concentration and inhibitor concentration.
  3. Select the inhibition mechanism from the dropdown.

Step-by-Step Example Calculation

Competitive Kinase Inhibitor Assay

Input Values:

vmaxNmolPerMin:100
kmUm:20
substrateConcUm:50
inhibitorConcUm:10
kiUm:5
inhibitionType:competitive
Worked Steps: Competitive ATP-binding site small-molecule inhibitor.

Understanding Your Result

Initial velocity indicates actual catalytic rate in the presence of inhibitor.

Apparent Km reflects changes in substrate affinity caused by inhibitor binding.

Factors That Affect the Result

  • Inhibitor affinity: Lower Ki values indicate stronger, more potent binding.
  • Substrate competition: Competitive inhibitors can be overcome by high substrate concentrations.

When Should You Use This Calculator?

  • Pharmacological drug discovery and enzyme characterization.
  • Distinguishing drug binding modes during lead optimization assays.

Assumptions & Limitations

  • Assumes quasi-steady-state conditions with substrate concentration vastly exceeding enzyme concentration.
  • Assumes reversible, rapid-equilibrium inhibitor binding.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Closed-form algebraic formulation aligns with standard enzyme kinetics textbooks.

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