BSE Interactive PK Demo

Propofol — Marsh 3-Compartment Model (1991)

Disclaimer: This is a public, literature-parameterized pharmacokinetic (PK) demonstrator for educational and research communication only. It is not medical advice, not a clinical dosing tool, and not validated for patient care. Do not use for treatment decisions.

Model: Marsh et al., British Journal of Anaesthesia (1991) — “Pharmacokinetic requirements for propofol.”

Assumptions: linear first-order kinetics; instantaneous central mixing; adult weight scaling of volumes; no age/lean-body-mass adjustment; not reliable for extremes (e.g., morbid obesity).

Controls

Weight (kg) 70

Marsh volumes scale with weight.

Bolus dose (mg) 150

Instantaneous dose into central compartment.

Infusion rate (mg/min) 0

Optional constant infusion.

Infusion duration (min) 0

Infusion stops after this time.

Sim time (min) 240

dt (min) 0.2

Guardrails auto-adjust if too many steps.

Model constants (Marsh micro-rate constants)

k10 = 0.119 min⁻¹ (elimination from central)
k12 = 0.112 min⁻¹, k21 = 0.055 min⁻¹
k13 = 0.042 min⁻¹, k31 = 0.0033 min⁻¹

Volumes (L/kg)

V1 = 0.228 L/kg (central)
V2 = 0.463 L/kg (fast peripheral)
V3 = 2.893 L/kg (slow peripheral)

Plasma (Central) Metrics — C1

C_max (mg/L)

—

T_max (min)

—

AUC(0–t) (mg·min/L)

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Output is deterministic (RK4). Concentration: C1 = A1 / (V1·Weight).