Basic Inter-Individual Variability (IIV)

Population simulation with log-normal IIV on PK parameters.

Model

θᵢ = θ_pop × exp(ηᵢ)

Where ηᵢ ~ N(0, ω²)

Parameters

Parameter	Population	ω (SD)	CV%
CL	5.0 L/h	0.3	~30%
V	50.0 L	0.2	~20%

What This Example Shows

1. Generate 100 virtual subjects
2. Each subject has individual CL and V values
3. Simulate PK for all subjects
4. Compute population summaries (mean, median, 5th/95th percentiles)

Expected Variability

With ω_CL = 0.3: - 95% of subjects have CL between ~2.7 and ~9.2 L/h - This is 0.55× to 1.8× the typical value

Files

File	Description
julia.jl	Julia implementation
python.py	Python implementation
cli.json	CLI specification