Noradrenaline Equivalent Dose Calculator

Noradrenaline Equivalent Dose Calculator

Convert a multi-agent vasopressor infusion to a single noradrenaline-equivalent figure by four published formulas at once — because the published conversion ratios disagree, and this is a research comparability measure and not a prescribing tool.

Noradrenaline equivalent, by four published formulas

4 formulas, 5 agents
Enter zero if it is not running. Note the unit: this and the other catecholamines here are in µg/kg/min, and several of the published formulas were written in µg/min instead. A 70 kg patient on 0.2 µg/kg/min is on 14 µg/min, and entering 14 here would overstate the answer seventyfold.
Every one of the four formulas gives adrenaline a ratio of exactly 1 to noradrenaline. That is the only term all four agree on, and it is an equivalence of pressor effect and not of anything else — adrenaline has beta-1 and beta-2 actions that noradrenaline largely does not, and it raises lactate.
The term the four formulas disagree about most: 1/10 in Khanna and Goradia, 0.45 in Brown, 0.06 in Kotani. That is a 7.5-fold spread on one drug. Conventionally dosed in µg/min at the bedside, so convert before entering.
1/150 in Khanna, 1/100 in Goradia, Kotani and Brown. Always dosed in µg/kg/min, which is why this is one of the terms the µg/min formulas left unconverted and so cannot be read across.
Units per minute, not µg and not units per hour: 0.03 U/min is the commonest fixed rate and is 1.8 U/h. The factor is 2.5 in Khanna, Goradia and Kotani and 5 in Brown, so Brown’s formula doubles the contribution of an unchanged infusion.
0.408µg/kg/minExample

Noradrenaline 0.20, adrenaline 0.05, phenylephrine 0.50 and dopamine 5.0 µg/kg/min, vasopressin 0.03 units/min

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Four published formulas, and where they disagree

Khanna 2017 (ATHOS-3): NEE = NA + AD + dopamine/150 + phenylephrine/10 + 2.5 × vasopressin
Goradia 2021: NEE = NA + AD + phenylephrine/10 + dopamine/100 + 2.5 × vasopressin
Kotani 2023: NEE = NA + AD + dopamine/100 + 0.06 × phenylephrine + 2.5 × vasopressin
Brown 2013: NEE = NA + AD + dopamine/100 + 5 × vasopressin + 0.45 × phenylephrine
Catecholamines and phenylephrine in µg/kg/min; vasopressin in units/min
what this figure is for
comparing total vasopressor exposure across patients or across studies on one scale, which is what every one of the four papers built it for. Kotani and colleagues’ title describes it as a marker of shock severity, and their own caution is that it “should be used and interpreted cautiously” even for that
what it is not for
switching a patient from one vasopressor to another. The formulas were fitted to pressor effect in populations, not to equipotence in an individual, and the agents differ in their receptor profiles. This page renders no dose and no target
adrenaline, ratio 1
the only term all four formulas agree on. It equates pressor effect and nothing else: adrenaline carries beta-1 and beta-2 activity noradrenaline largely lacks, and raises lactate
phenylephrine, 0.06 to 0.45
a 7.5-fold disagreement between published sources on one drug. Khanna and Goradia use 1/10. Brown uses 0.45. Kotani uses 0.06, derived from two trials in which 3.2 µg/kg/min of phenylephrine matched 0.2 µg/kg/min of noradrenaline, and 39.1 µg/min matched 2.4 µg/min. Laterre’s SEPSIS-ACT formula uses 1/2.2, which is 0.45 again. Nobody has reconciled them
vasopressin, 2.5 or 5
2.5 per unit per minute in Khanna, Goradia and Kotani; 5 in Brown. Kotani’s derivation is explicit: in one trial 0.03 U/min corresponded to 7.5 µg/min of noradrenaline and in another 0.06 U/min to 0.15 µg/kg/min, from which 2.5 “would be reasonable”. Formulas written in µg/min instead use 200 (Gutsche) or 500 (Ralib) for the same drug, which is the same 2.5 scaled by a notional body weight and is not interchangeable with it
dopamine, 1/150 or 1/100
1/150 in Khanna, 1/100 in the other three. Patel’s 2002 formula used 1/4 and VASST and Gutsche used 1/2, because those were written with noradrenaline in µg/min and dopamine in µg/kg/min in the same expression
the two unit conventions
µg/kg/min and µg/min are different quantities and several published formulas mix them inside one expression. VASST’s adds noradrenaline in µg/min to dopamine in µg/kg/min; Laterre’s adds noradrenaline in µg/min to phenylephrine in µg/kg/min. A figure from a µg/min formula cannot be compared with one from a µg/kg/min formula without the body weight, and at 70 kg the two differ seventyfold
agents this page does not compute
angiotensin II, metaraminol, terlipressin, methylene blue, midodrine and hydroxocobalamin appear in the table below with their published factors and sources but are not inputs, because they appear in only one or two of the formulas and because Kotani and colleagues state the angiotensin II factors are “inconsistent even after the adjustment of the unit used (2.5 vs. 10)”

Worked example

Noradrenaline 0.20, adrenaline 0.05, phenylephrine 0.50 and dopamine 5.0 µg/kg/min, vasopressin 0.03 units/min
Khanna 2017: 0.20 + 0.05 + 5.0/150 + 0.50/10 + 2.5 × 0.03 = 0.20 + 0.05 + 0.0333 + 0.050 + 0.075 = 0.408 µg/kg/min
Goradia 2021 differs only in the dopamine divisor, 1/100 rather than 1/150: 0.425
Kotani 2023 uses 0.06 for phenylephrine and 1/100 for dopamine: 0.405
Brown 2013 uses 0.45 for phenylephrine and 5 for vasopressin: 0.675
Highest ÷ lowest = 0.675 ÷ 0.405 = 1.67-fold on one unchanged infusion. Every one of those four numbers is correctly computed from a published formula
Take the phenylephrine out entirely and the spread falls to 1.26-fold: most of the disagreement in this example is one drug
Run noradrenaline alone at 0.20 µg/kg/min and all four formulas return 0.200, because they are all anchored on noradrenaline itself. The disagreement only appears once a second agent is added
The unit trap, in one line: a 70 kg patient on 0.20 µg/kg/min of noradrenaline is on 14 µg/min. Entering 14 in the field above returns 14.208 rather than 0.408 — a seventyfold error that looks like an answer
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Published conversion ratios, by source, and how far apart they are

AgentKhanna 2017Goradia 2021Kotani 2023Brown 2013Spread
Noradrenaline1111None — the anchor
Adrenaline1111None
Phenylephrine1/10 = 0.11/10 = 0.10.060.457.5-fold
Dopamine1/1501/1001/1001/1001.5-fold
Vasopressin (U/min)2.52.52.552-fold
Metaraminolnot in the formula1/81/8not in the formulaAgreed where stated
Angiotensin IInot in the formula10 × dose in µg/kg/min0.0025 × dose in ng/kg/minnot in the formula4-fold after unit adjustment — 2.5 against 10, flagged by Kotani et al. themselves
Terlipressin, methylene blue, midodrine, hydroxocobalaminnot in the formulanot in the formula10, 0.2, 0.4 and 0.02 respectivelynot in the formulaSingle source only
Every ratio in this table is quoted from Table 1 of Kotani et al. (Critical Care 2023), which reproduces nine published formulas side by side, and the last four rows are the reason this calculator takes only five agents: a factor that exists in one formula cannot be compared with anything, and the angiotensin II factors are inconsistent by the authors’ own statement. Kotani’s methylene blue factor is described in the paper as arbitrary.

The formulas written in µg/min, which cannot be read across

SourceFormula as publishedWhy it is not comparable
Patel 2002, AnesthesiologyNA (µg/min) + AD (µg/min) + 1/4 × dopamine (µg/kg/min)Mixes µg/min and µg/kg/min in one sum; no vasopressin or phenylephrine term
Russell 2008, VASST, NEJMNA (µg/min) + 1/2 × dopamine (µg/kg/min) + AD (µg/min) + 1/10 × phenylephrine (µg/min)Catecholamines in µg/min; the dopamine divisor is 1/2 rather than 1/100 purely because of that
Ralib 2013NA (µg/min) + 500 × vasopressin (U/min) + AD (µg/min) + 1/3 × phenylephrine (µg/min) + 1/100 × dopamine (µg/min)Vasopressin factor of 500 is the µg/min analogue of 2.5, not a different clinical claim
Gutsche 2017, Anesth AnalgNA (µg/min) + 1/2 × dopamine (µg/kg/min) + AD (µg/min) + 1/10 × phenylephrine (µg/min) + 200 × vasopressin (U/min)Same mixing, and a third vasopressin factor
Laterre 2019, SEPSIS-ACT, JAMANA (µg/min) + AD (µg/min) + 1/100 × dopamine (µg/min) + 1/2.2 × phenylephrine (µg/kg/min)Adds a µg/kg/min phenylephrine term to µg/min catecholamines
These five are listed to make one point: a noradrenaline-equivalent figure is meaningless without the formula that produced it, and five of the nine published formulas are in units that cannot be compared with the other four without the patient’s weight. All five are quoted from Kotani et al.’s Table 1.

A comparability scale that four papers cannot agree on

A patient in vasodilatory shock is often on more than one vasopressor at once, and comparing their vasopressor burden with another patient’s, or with a trial population’s, needs them all on one scale. The noradrenaline equivalent is that scale: every other agent is multiplied by a ratio expressing its pressor effect relative to noradrenaline, and the products are added. It is used to describe shock severity, to define high-dose vasopressor therapy in cohort studies and to make trial arms comparable. Every paper that published a formula built it for that purpose.

The difficulty is that the published ratios do not agree. Kotani and colleagues set nine formulas side by side in 2023 and the disagreement is not marginal: phenylephrine is given a ratio of 0.06 in one formula, 0.1 in two others and 0.45 in a fourth, a 7.5-fold spread on a single drug; vasopressin is 2.5 per unit per minute in three formulas and 5 in another; dopamine is divided by 150 in one and by 100 in three. The disagreements come from the underlying evidence rather than from carelessness — the authors are explicit that their angiotensin II factor differs from Goradia’s fourfold because the two groups estimated it from different randomised trials. The consequence is that a noradrenaline-equivalent figure means nothing without the name of the formula that produced it, so this page prints four of them on every calculation and the ratio between the highest and the lowest.

There is a second, quieter trap in the units. Noradrenaline is infused in micrograms per kilogram per minute in some units and micrograms per minute in others; phenylephrine and vasopressin are usually per minute; dopamine is essentially always per kilogram. Five of the nine published formulas mix the two conventions inside a single sum, which is why VASST divides dopamine by 2 where Goradia divides it by 100, and why one paper’s vasopressin factor is 500 and another’s is 2.5. Neither is a different clinical claim; they are the same claim in different units. At 70 kg the two conventions differ seventyfold, which is the size of error available to anyone who enters a µg/min rate into a µg/kg/min field.

The most important thing here is what the number is not. These ratios were fitted to pressor effect in populations. They say nothing about receptor profile, and the agents are not interchangeable: noradrenaline is predominantly alpha-1, adrenaline adds substantial beta-1 and beta-2 activity and raises lactate, phenylephrine is pure alpha-1 and reflexly slows the heart, dopamine’s effect shifts with the infusion rate, and vasopressin acts on V1 receptors and not on adrenoceptors at all. Two infusions with the same equivalent figure can move cardiac output in opposite directions. Nothing here is a dose, a target or a conversion for switching a running infusion — that is done by titrating the new agent against the patient in front of you. A derived haemodynamic number is read alongside the patient — the history, the perfusion, the lactate, the trend across serial measurements — and never instead of them. It supports a clinician’s judgement rather than replacing it.

Frequently asked questions

What is a noradrenaline equivalent dose?

A single figure expressing a patient’s total vasopressor exposure on the noradrenaline scale: each agent is multiplied by a published ratio of its pressor effect relative to noradrenaline and the products are summed. It exists to compare exposure between patients and between studies. It is not an equipotent substitution and not a prescribing tool.

Do the published conversion ratios agree?

No, and the disagreement is large. Across the four formulas on this page, phenylephrine carries a ratio of 0.06, 0.1 or 0.45 — a 7.5-fold spread on one drug; vasopressin is 2.5 or 5 per unit per minute; dopamine is divided by 100 or by 150. Kotani and colleagues state that their angiotensin II factor and Goradia’s are “inconsistent even after the adjustment of the unit used (2.5 vs. 10)” because the two were estimated from different trials. A noradrenaline equivalent is meaningless without naming the formula.

Can I use this to switch a patient from one vasopressor to another?

No. The ratios were fitted to pressor effect across populations, not to equipotence in an individual, and the agents differ in receptor profile: two infusions with the same equivalent figure can move cardiac output in opposite directions. Changing a vasopressor is done by titrating the new agent against the patient’s own response. This page renders no dose and no target.

What is the difference between µg/kg/min and µg/min here?

They are different quantities and the gap is the patient’s weight. A 70 kg patient on 0.2 µg/kg/min of noradrenaline is on 14 µg/min. Five of the nine published formulas are written with the catecholamines in µg/min, and some mix the two conventions inside one sum — which is why VASST divides dopamine by 2 where Goradia divides it by 100, and why vasopressin factors of 2.5, 200 and 500 all appear in the literature for the same drug. The fields on this page are µg/kg/min for the catecholamines and phenylephrine and units per minute for vasopressin.

Why does this calculator not include angiotensin II or metaraminol?

Because the published factors are either single-source or openly inconsistent. Angiotensin II is given a factor equivalent to 2.5 by one group and 10 by another after unit adjustment, a discrepancy the authors flag themselves. Metaraminol’s 1/8 appears in two of the nine formulas and neither of the other two includes it. Terlipressin, midodrine, methylene blue and hydroxocobalamin appear in one formula only, and that paper describes its methylene blue factor as arbitrary. All of them are in the table on this page with their sources; none is computed.

Related calculators

References

  1. Kotani Y, Di Gioia A, Landoni G, Belletti A, Khanna AK. An updated ‘norepinephrine equivalent’ score in intensive care as a marker of shock severity. Crit Care. 2023;27:29. The source of every ratio in the table on this page: its Table 1 reproduces nine published formulas side by side. Their own adds 0.06 × phenylephrine, 1/100 × dopamine, 2.5 × vasopressin (U/min), 1/8 × metaraminol and 0.0025 × angiotensin II (ng/kg/min) to the two catecholamines. The paper states the disagreement out loud: “the correction factors for angiotensin II are inconsistent even after the adjustment of the unit used (2.5 vs. 10)”.
  2. Khanna A, English SW, Wang XS, et al. Angiotensin II for the treatment of vasodilatory shock (ATHOS-3). N Engl J Med. 2017;377(5):419–30. The norepinephrine-equivalent formula used in the trial, as reproduced in Kotani et al.’s Table 1: “Norepinephrine dose (µg/kg/min) + epinephrine dose (µg/kg/min) + 1/150 × dopamine dose (µg/kg/min) + 1/10 × phenylephrine dose (µg/kg/min) + 2.5 × vasopressin dose (U/min)”. The most widely reused of the formulas and the one this page’s headline figure follows.
  3. Goradia S, Sardaneh AA, Narayan SW, Penm J, Patanwala AE. Vasopressor dose equivalence: a scoping review and suggested formula. J Crit Care. 2021. As reproduced in Kotani et al.’s Table 1: “Norepinephrine dose (µg/kg/min) + epinephrine dose (µg/kg/min) + 1/10 × phenylephrine dose (µg/kg/min) + 1/100 × dopamine dose (µg/kg/min) + 1/8 × metaraminol (µg/kg/min) + 2.5 × vasopressin dose (U/min) + 10 × angiotensin II dose (µg/kg/min)”.
  4. Brown SM, Lanspa MJ, Jones JP, et al. Survival after shock requiring high-dose vasopressor therapy. Chest. 2013;143(3):664–71. As reproduced in Kotani et al.’s Table 1: “Norepinephrine dose (µg/kg/min) + epinephrine dose (µg/kg/min) + 1/100 × dopamine dose (µg/kg/min) + 5 × vasopressin dose (U/min) + 0.45 × phenylephrine dose (µg/kg/min)” — the outlier of the set on both vasopressin and phenylephrine.
  5. Russell JA, Walley KR, Singer J, et al. Vasopressin versus norepinephrine infusion in patients with septic shock (VASST). N Engl J Med. 2008;358(9):877–87. Its equivalence formula, as reproduced in Kotani et al.’s Table 1, mixes the two unit conventions inside one expression: “Norepinephrine dose (µg/min) + 1/2 × dopamine dose (µg/kg/min) + epinephrine dose (µg/min) + 1/10 × phenylephrine dose (µg/min)”.

Not medical advice. For healthcare professionals and education. Reference intervals vary by laboratory and assay — always use your own laboratory's. Never base a dose or a treatment decision on this page alone. Full disclaimer at calcengines.com/disclaimer/