Two-Compartment Oral Model¶

Two-compartment model with first-order oral absorption.

Model Schematic¶

Oral Dose
    │
    ▼
┌─────────┐     Ka      ┌─────────────┐     Q      ┌─────────────┐
│   Gut   │ ─────────▶  │   Central   │ ◄────────▶ │ Peripheral  │
│  (A_d)  │             │     V1      │            │     V2      │
└─────────┘             └──────┬──────┘            └─────────────┘
                               │
                               │ CL
                               ▼
                          Elimination

Differential Equations¶

dA_depot/dt = -Ka × A_depot
dA_central/dt = Ka × A_depot + 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
Ka	Absorption rate constant	0.1-5.0	1/h
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
Ka	1.5 1/h	Moderate absorption
CL	5.0 L/h	Moderate clearance
V1	10.0 L	Central compartment
Q	10.0 L/h	Rapid distribution
V2	40.0 L	Tissue distribution
Dose	100 mg	Oral dose

Key Features¶

Tri-exponential profile (absorption + α + β phases)
Distribution occurs during absorption
Common for lipophilic drugs with significant tissue binding

Files¶

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