Two-Compartment IV Bolus Model¶

Two-compartment model with rapid distribution to peripheral tissues.

Model Schematic¶

IV Bolus
    │
    ▼
┌─────────────┐     Q      ┌─────────────┐
│   Central   │ ◄────────▶ │ Peripheral  │
│     V1      │            │     V2      │
└──────┬──────┘            └─────────────┘
       │
       │ CL
       ▼
   Elimination

Differential Equations¶

dA_central/dt = Q/V2 × A_peripheral - Q/V1 × A_central - CL/V1 × A_central
dA_peripheral/dt = Q/V1 × A_central - Q/V2 × A_peripheral

Parameters¶

Parameter	Description	Typical Range	Units
CL	Clearance	1-50	L/h
V1	Central volume	5-100	L
Q	Inter-compartmental clearance	1-50	L/h
V2	Peripheral volume	10-500	L

Example Values¶

Parameter	Value	Rationale
CL	5.0 L/h	Moderate clearance
V1	10.0 L	Plasma/blood volume
Q	10.0 L/h	Rapid distribution
V2	40.0 L	Tissue distribution
Dose	100 mg	IV bolus

Key Features¶

Bi-exponential decline (α and β phases)
α phase: distribution + elimination
β phase: terminal elimination
V1 + V2 = Vss (volume at steady-state)

Derived Parameters¶

Parameter	Formula	Description
Vss	V1 + V2	Steady-state volume
α, β	Macro rate constants	Eigenvalues
t½α	ln(2)/α	Distribution half-life
t½β	ln(2)/β	Terminal half-life

Files¶

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