One-Compartment IV Bolus Model

The simplest pharmacokinetic model for intravenous administration.

Model Schematic

Dose (IV Bolus)
     │
     ▼
┌─────────────┐
│   Central   │
│      V      │──── CL ────▶ Elimination
└─────────────┘

Differential Equation

dA_central/dt = -CL/V × A_central

With initial condition: A_central(0) = Dose

Observation

Conc = A_central / V

Parameters

Parameter	Description	Typical Range	Units
CL	Clearance	1-50	L/h
V	Volume of distribution	10-500	L

Example Values

Parameter	Value	Rationale
CL	5.0 L/h	Moderate hepatic clearance
V	50.0 L	Roughly total body water
Dose	100 mg	Single 100mg IV bolus

Analytical Solution

C(t) = (Dose/V) × exp(-CL/V × t)

Derived Parameters

Parameter	Formula	Example Value
k	CL/V	0.1 h⁻¹
t½	ln(2)/k	6.93 h
Cmax	Dose/V	2.0 mg/L
AUC₀₋∞	Dose/CL	20 mg·h/L

Files

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

Running

# Julia
julia --project=packages/core julia.jl

# Python
python python.py

# CLI
./bin/neopkpd simulate --spec cli.json