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| import matplotlib.pyplot as plt | |
| import numpy as np | |
| # Generate concentration data (0 to 100%) | |
| concentration = np.linspace(0, 100, 200) | |
| # Define sigmoid function for dose-response curves | |
| def sigmoid(x, max_response, ec50=50, hill_slope=0.1): | |
| """ | |
| Sigmoid function for dose-response curves | |
| x: concentration/dose | |
| max_response: maximum response (efficacy) | |
| ec50: concentration at 50% of max response | |
| hill_slope: steepness of the curve | |
| """ | |
| return max_response / (1 + np.exp(-(x - ec50) / (1/hill_slope))) | |
| # Generate response curves for different agonist types | |
| full_agonist = sigmoid(concentration, max_response=100) # 100% efficacy | |
| partial_agonist = sigmoid(concentration, max_response=45) # 45% efficacy | |
| inverse_agonist = sigmoid(concentration, max_response=-40) # Negative response | |
| baseline = np.zeros_like(concentration) # Baseline at 0 | |
| # Create the plot | |
| plt.figure(figsize=(12, 8)) | |
| # Plot the curves | |
| plt.plot(concentration, full_agonist, 'r-', linewidth=3, | |
| label='Full Agonist (Morphine)', alpha=0.8) | |
| plt.plot(concentration, partial_agonist, 'b-', linewidth=3, | |
| label='Partial Agonist (Buprenorphine)', alpha=0.8) | |
| plt.plot(concentration, inverse_agonist, color='purple', linewidth=3, | |
| label='Inverse Agonist (Beta-carbolines)', alpha=0.8) | |
| plt.plot(concentration, baseline, 'k--', linewidth=2, | |
| label='Baseline', alpha=0.5) | |
| # Add horizontal reference lines for max efficacy | |
| plt.axhline(y=100, color='red', linestyle=':', alpha=0.3, linewidth=1) | |
| plt.axhline(y=45, color='blue', linestyle=':', alpha=0.3, linewidth=1) | |
| plt.axhline(y=0, color='gray', linestyle='-', alpha=0.5, linewidth=1.5) | |
| # Add annotations | |
| plt.annotate('100% Efficacy\n(Full Agonist)', | |
| xy=(85, 100), xytext=(70, 105), | |
| fontsize=10, color='red', fontweight='bold', | |
| bbox=dict(boxstyle='round,pad=0.5', facecolor='white', edgecolor='red')) | |
| plt.annotate('~45% Efficacy\n(Partial Agonist)\nCeiling Effect', | |
| xy=(85, 45), xytext=(65, 60), | |
| fontsize=10, color='blue', fontweight='bold', | |
| bbox=dict(boxstyle='round,pad=0.5', facecolor='white', edgecolor='blue'), | |
| arrowprops=dict(arrowstyle='->', color='blue', lw=1.5)) | |
| plt.annotate('Inverse Activity\n(Below Baseline)', | |
| xy=(85, -40), xytext=(60, -55), | |
| fontsize=10, color='purple', fontweight='bold', | |
| bbox=dict(boxstyle='round,pad=0.5', facecolor='white', edgecolor='purple'), | |
| arrowprops=dict(arrowstyle='->', color='purple', lw=1.5)) | |
| # Labels and title | |
| plt.xlabel('Drug Concentration / Receptor Occupancy (%)', fontsize=14, fontweight='bold') | |
| plt.ylabel('Biological Response (%)', fontsize=14, fontweight='bold') | |
| plt.title('Drug-Receptor Interactions: Types of Agonists\nDose-Response Curves', | |
| fontsize=16, fontweight='bold', pad=20) | |
| # Legend | |
| plt.legend(loc='upper left', fontsize=11, framealpha=0.9) | |
| # Grid | |
| plt.grid(True, alpha=0.3, linestyle='--') | |
| # Set axis limits | |
| plt.xlim(0, 100) | |
| plt.ylim(-60, 115) | |
| # Add text box with key information | |
| textstr = '\n'.join([ | |
| 'Key Concepts:', | |
| '• Full Agonist: 100% maximal response', | |
| '• Partial Agonist: Submaximal response (~45%)', | |
| ' even at full receptor occupancy', | |
| '• Inverse Agonist: Reduces basal activity', | |
| ' producing opposite effects' | |
| ]) | |
| props = dict(boxstyle='round', facecolor='wheat', alpha=0.8) | |
| plt.text(0.02, 0.35, textstr, transform=plt.gca().transAxes, | |
| fontsize=10, verticalalignment='top', bbox=props) | |
| # Tight layout for better spacing | |
| plt.tight_layout() | |
| # Save the plot to a file | |
| plt.savefig('dose_response_plot.png', dpi=300, bbox_inches='tight') | |
| # Display the plot (commented out for console run) | |
| # plt.show() | |
| # Optional: Print some data points for verification | |
| print("Sample Data Points:") | |
| print(f"{'Concentration':<15} {'Full Agonist':<15} {'Partial Agonist':<20} {'Inverse Agonist'}") | |
| print("-" * 70) | |
| for i in [0, 25, 50, 75, 100]: | |
| idx = int(i * 2) # Since we have 200 points for 0-100 range | |
| print(f"{concentration[idx]:<15.1f} {full_agonist[idx]:<15.2f} " | |
| f"{partial_agonist[idx]:<20.2f} {inverse_agonist[idx]:.2f}") |