Continuous infusions of vasoactive and sedative drugs are ordered as a dose (mcg/kg/min or mg/hr) but delivered as a volumetric pump rate (mL/hr). This tool bridges the two by first finding the bag concentration, then the rate that delivers the target dose — useful as a bedside double-check and for teaching the underlying arithmetic.
How it works
The bag concentration is mass divided by volume:
concentration (mg/mL) = drug_mg / bag_volume_mL
For a weight-based order (e.g. noradrenaline, dopamine, dobutamine):
dose (mg/min) = target_mcg_kg_min × weight_kg / 1000
rate (mL/hr) = dose_mg_min × 60 / concentration_mg_mL
For a fixed hourly dose (e.g. heparin, some sedatives):
rate (mL/hr) = target_mg_hr / concentration_mg_mL
Worked example — weight-based
A bag holds 400 mg of drug in 250 mL, a concentration of 1.6 mg/mL (or 1,600 mcg/mL). To deliver 5 mcg/kg/min to a 70 kg patient:
- Convert dose to mg/min: 5 × 70 ÷ 1,000 = 0.35 mg/min
- Convert to mg/hr: 0.35 × 60 = 21 mg/hr
- Divide by concentration: 21 ÷ 1.6 = 13.1 mL/hr
Set the pump to 13.1 mL/hr to deliver the target dose.
Worked example — fixed mg/hr
A sedative is ordered at 10 mg/hr from a bag of 500 mg in 100 mL (concentration = 5 mg/mL):
rate = 10 mg/hr ÷ 5 mg/mL = 2 mL/hr
This is why highly concentrated bags run at very low pump rates and require particular care — a small programming error moves the rate by a clinically significant fraction.
Why concentration matters so much
The same target dose in mcg/kg/min can require vastly different pump rates depending on bag concentration. For example, a double-concentrated bag (same drug mass in half the volume) halves the mL/hr needed for the same dose. Errors arise when:
- A replacement bag is mixed at a different concentration to the running bag.
- The pump’s drug library profile is set to a different concentration to the bag actually hanging.
- The patient weight entered in the pump differs from the weight used here.
Always confirm the concentration matches what the infusion pump is programmed to expect before connecting a new bag or adjusting the rate.
Safety notes
Vasoactive infusions (noradrenaline, adrenaline, vasopressin, dopamine) and sedatives (propofol, midazolam, ketamine) are high-alert medications. This tool is an educational double-check and teaching aid. Every clinical calculation must be independently verified against the unit protocol, the drug monograph, and by a second qualified clinician or pharmacist before administration. Calculations run entirely in your browser and nothing is stored or transmitted.