Complex Covariate Model¶
Full population model with multiple covariates, IIV, correlations, and residual error.
Model¶
CL = CL_pop × (WT/70)^0.75 × (CrCL/100)^0.5 × θ_sex^SEX × exp(η_CL)
V = V_pop × (WT/70)^1.0 × exp(η_V)
Ka = Ka_pop × exp(η_Ka)
Where:
- η ~ MVN(0, Ω) with correlation between η_CL and η_V
- ε ~ N(0, σ²) residual error
Covariates¶
| Covariate | Effect On | Type | Value |
|---|---|---|---|
| Weight | CL, V | Power | 0.75, 1.0 |
| CrCL | CL | Power | 0.5 |
| Sex | CL | Categorical | 0.85 (female) |
Omega Matrix (with correlations)¶
Correlation CL-V ≈ 0.33