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How do I get 12 units out of a vial reconstituted to 5 mg/mL without guessing?

Asked 26 Mar 2024Modified 2.0 years agoViewed 65k times
This question was marked as a duplicate of How many units on a 0.3 mL insulin syringe is a 40 mg dose at 2 mg/mL?Closed 31 Mar 2024. It remains here because the answers below are specific to how it was asked.
40

Conditions: 12 units · 5 mg/mL.

I am trying to do this correctly the first time rather than learn it by getting it wrong.

I have already made one mistake here that cost me a vial, so I am being deliberately careful.

What would you do, and what would you check afterwards?

insulin-syringe
insulin-syringe

U-100 and U-40 insulin syringes as measuring instruments. A U-100 syringe is graduated in insulin units where 100 units equals 1 mL, so one unit…

268 questions
dosing-math
dosing-math

The arithmetic itself: milligrams to millilitres to insulin units, concentration after reconstitution, dose per draw, and vial-days per vial. Show…

811 questions
diluent-volume
diluent-volume

Choosing how much diluent to add, which is really a question about what you want your measurement resolution to be. Larger volumes buy you…

308 questions
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RP
askedrhian_prydderch44k3826 Mar 2024

5 Answers

Accepted answer first, then by votes
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Accepted answer

The part that matters: rounding to the nearest whole syringe unit is usually the right error to make, but understanding which direction it is and why matters.

Room temperature before drawing is worth the ten minutes. Cold solution is more viscous, draws slower, and condensation on a cold barrel makes it harder to read the meniscus.

Concentration and unit conversion at a glance

VialDiluentConcentration0.25 mg0.5 mg1 mg2.5 mg
5 mg1 mL5 mg/mL5 u10 u20 u50 u
5 mg2 mL2.5 mg/mL10 u20 u40 u100 u
10 mg1 mL10 mg/mL2.5 u5 u10 u25 u
10 mg2 mL5 mg/mL5 u10 u20 u50 u
10 mg3 mL3.33 mg/mL7.5 u15 u30 u75 u

Units are U-100 insulin units, where 1 unit = 0.01 mL. Divide dose by concentration for millilitres, then multiply by 100.

Concretely, breaking it down further: if a 10 mg vial has 96.5 per cent content, you have 9.65 mg of peptide. Divide that by 2.00 mL and your concentration is 4.825 mg/mL, not 5.00 mg/mL, which is a 3.5 per cent systematic error in every dose calculation.

Published data on syringe dead space quantifies low-dead-space designs as retaining under 2 µL against 35 µL or more for conventional detachable-needle syringes.

Worth noting: the concentration after reconstitution is not the same as the label claim, and most people do not account for the difference.

Do the arithmetic twice, ideally with someone else doing it independently.

edited 25 Jul 2024 by valentina_rossi — reworded for clarity after a comment

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VR
answered · acceptedvalentina_rossi16k2813 Jul 2024
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73

The arithmetic only stops being confusing once you work it through once and see that it is straightforward.

Dead space quantified: a fixed-needle insulin syringe holds roughly 3 to 5 µL in the hub and needle after the plunger bottoms out. A luer-lock syringe with a detachable needle holds 35 to 100 µL depending on the hub design. At 5 mg/mL that is 15 to 25 µg lost per draw on the insulin syringe and 175 to 500 µg on the luer-lock — which over ten draws is the difference between losing a rounding error and losing half a milligram.

On the detail: do not use the same needle to pierce the stopper and to administer. The tip is blunted by the stopper, and the hub now contains a dose you are about to lose to dead space anyway.

The limitation is that technique reduces risk, it does not remove it, and nothing you can do outside a controlled environment makes a non-sterile preparation sterile.

If in doubt, use more diluent and accept the shorter usable window.

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IB
answeredines_brandt93k2482 Jul 2024
35

More usefully, work in the order concentration, then volume, then units, and the arithmetic stops being confusing. Concentration is milligrams per millilitre and comes from the vial contents and the diluent volume. Volume per dose is dose divided by concentration. Units on a U-100 syringe are volume in millilitres multiplied by one hundred.

Air bubbles at these volumes are a measurement problem rather than a safety one. A 2 mm bubble in a 0.3 mL syringe is roughly 4 µL, which at 10 units drawn is a four per cent error.

Mechanically, rotation of injection site is a tolerability measure, not a pharmacokinetic one, but if you are going to do it you might as well do it right.

The content assay results from major testing services show that nominal vial claim and measured content differ by one to ten per cent, making content a driver of dose error.

One qualification: if your arithmetic and someone else's disagree by a factor of ten, one of you has made a unit error, and writing out the units at every step is the diagnostic.

Write the arithmetic on the vial label. It costs nothing and removes the step where you reconstruct it from memory.

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RP
answeredrhian_prydderch44k389 Jun 2024
3This is the answer I was looking for three months ago. – m_haraldsen 2 months ago
4The arithmetic checks out. I ran the same numbers and got the same result. – sian_llewellyn 4 months ago
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28

The common error is getting the concentration right but then misreading the syringe scale, which is why checking the barrel marking rather than your memory matters.

Number of stopper piercings matters less than the gauge doing the piercing. A 30G or 31G needle through a butyl stopper leaves a track that reseals; a 21G or 18G drawing needle punches a core and can drop it into the solution.

The caveat is that this assumes the vial contains what the label says, and if the content assay has not been done, the arithmetic is precise about an unknown quantity.

Do the arithmetic twice, ideally with someone else doing it independently.

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DF
answeredDr_Nadia_Farsi90k25821 Jun 2024
5The placebo-arm figure is the part everyone omits. – dead_volume 8 months ago
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27

Two people working through the same arithmetic independently should get the same answer, and if they do not, someone has made a unit error.

Worked example, because the general form is easier to trust once you have seen it once. Take a 10 mg vial and add 2 mL of diluent: the concentration is 10 ÷ 2 = 5 mg/mL. A 0.5 mg dose is 0.5 ÷ 5 = 0.1 mL. On a U-100 syringe, where 1 unit = 0.01 mL, that is 0.1 ÷ 0.01 = 10 units. Change the diluent to 1 mL and the same dose becomes 5 units — same dose, half the resolution.

The insulin-unit standard U-100 means 100 units per millilitre, so one unit is 0.01 mL — this is the conversion that trips up more people here than any other single piece of arithmetic.

If in doubt, use more diluent and accept the shorter usable window.

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JE
answeredjuan_esquivel14k1618 May 2024

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