One-Compartment IV Infusion Model¶

One-compartment model with constant-rate intravenous infusion.

Model Schematic¶

Infusion (Rate = Dose/Duration)
         │
         ▼
    ┌─────────────┐
    │   Central   │
    │      V      │──── CL ────▶ Elimination
    └─────────────┘

Differential Equation¶

During infusion (0 ≤ t ≤ T_inf):

dA_central/dt = Rate - CL/V × A_central

After infusion (t > T_inf):

dA_central/dt = -CL/V × A_central

Where Rate = Dose / T_inf

Parameters¶

Parameter	Description	Typical Range	Units
CL	Clearance	1-50	L/h
V	Volume of distribution	10-500	L
duration	Infusion duration	0.5-4	h

Example Values¶

Parameter	Value	Rationale
CL	5.0 L/h	Moderate clearance
V	50.0 L	Total body water
Dose	100 mg	Total infusion dose
Duration	1.0 h	1-hour infusion

Derived Parameters¶

Parameter	Formula	Example Value
Rate	Dose/Duration	100 mg/h
Css	Rate/CL	20 mg/L (if continued)
t½	ln(2)×V/CL	6.93 h

Key Features¶

Cmax occurs at end of infusion (t = T_inf)
Lower Cmax compared to bolus for same dose
Useful for drugs with narrow therapeutic window
Rate-limiting can reduce infusion reactions

Files¶

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