Hill Equation – Interactive Graph

This interactive Hill equation calculator allows users to simulate and visualize cooperative binding behavior in biochemical systems. It's ideal for students and researchers studying ligand-receptor interactions or allosteric enzyme kinetics.

Users can input the following key parameters:

Vmax – Maximum reaction velocity
K_0.5 – Substrate concentration at half-max velocity
n – Hill coefficient indicating cooperativity level
Custom units for both velocity and substrate

The tool generates dynamic plots based on the Hill equation:
V = Vmax × [S]^n / (K₀.₅^n + [S]^n)

Core features include:

Multiple plot overlays with color-coded legends
Visual markers for Vmax and K_0.5 (optional)
Interactive graph autoscaling and grid toggle
Clear All button for resetting inputs and plots
Responsive design with Plotly.js graph rendering

Each curve represents a different enzyme or system response. The visualization helps interpret how changes in K_0.5 and n affect binding affinity, sigmoidal behavior, and reaction velocity. It's useful in analyzing oxygen binding curves, enzyme activation, and pharmacological dose-response data.