Module predictions 

Stage 3: Prediction calculations

Handles final prediction calculations with optimal doses, including:

• Dense time grid generation for AUC calculations
• Trapezoidal AUC integration
• Concentration-time predictions

AUC Calculation Method

For Target::AUC targets:

1. Dense Time Grid: Generate points at idelta intervals plus observation times
2. Simulation: Run model at all dense time points
3. Trapezoidal Integration: Calculate cumulative AUC:

   AUC(t) = Σᵢ₌₁ⁿ (C[i] + C[i-1])/2 × (t[i] - t[i-1])

4. Extraction: Extract AUC values at target observation times

Key Functions

• calculate_dense_times: Generate time grid for numerical integration
• calculate_auc_at_times: Trapezoidal AUC calculation
• calculate_final_predictions: Final predictions with optimal doses

See Also

• Configuration: settings.predictions().idelta controls time grid resolution

Functions

calculate_auc_at_times

Calculate cumulative AUC at target times using trapezoidal rule

calculate_dense_times

Generate dense time grid for AUC calculations

calculate_final_predictions

Calculate predictions for optimal doses

calculate_interval_auc_per_observation

Calculate interval AUC for each observation independently

find_last_dose_time_before

Find the time of the last dose (bolus or infusion) before a given observation time