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How many units on a U-40 insulin syringe is a 50 mg dose at 2.5 mg/mL?

Asked 10 Oct 2024Modified 19 months agoViewed 43k times
27

Setup, so nobody has to ask: a U-40 insulin syringe · 50 mg · 2.5 mg/mL.

The units are where I keep going wrong, so please be explicit about them.

I have sanity-checked the order of magnitude and it seems right, which is not the same as being right.

How many significant figures are actually justified here?

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askednkem_obiora46k3810 Oct 2024
4Two of us worked through this independently and arrived here, so it is at least reproducible. – Dr_Otto_Lindqvist 3 months ago
3Worth adding that the method section is where the answer usually is. – Dr_Elias_Weiss 2 months ago
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3 Answers

Accepted answer first, then by votes
94

Accepted answer

To be exact about it, dose arithmetic has three parts: concentration from vial content and diluent, volume from dose and concentration, and units from volume and syringe scale.

On filtration: a 0.22 µm syringe filter will remove particulates and organisms, and it will also adsorb a fraction of your peptide onto the membrane — with a low-binding PVDF or PES membrane the loss is typically a few per cent.

Dead space by syringe type

ConfigurationDead volumeLoss at 5 mg/mLOver 20 draws
Fixed-needle insulin syringe3–5 µL15–25 µg0.3–0.5 mg
Low-dead-space, detachable<2 µL<10 µg<0.2 mg
Standard luer-lock + 30G35–60 µL175–300 µg3.5–6 mg
Luer-lock + 21G drawing needle70–100 µL350–500 µg7–10 mg

Worth being precise here: 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 Arrhenius relationship for drawing kinetics means that cold solution takes noticeably longer to draw than room-temperature solution.

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.

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

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answered · acceptedforty_two_c43k3821 Dec 2024
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36

This is arithmetic, so let us do the arithmetic rather than argue about it.

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.

The part that matters: 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.

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

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answeredDr_Tomas_Kral37k382 Jan 2025
8The arithmetic checks out. I ran the same numbers and got the same result. – void_volume 3 months ago
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30

The answer depends on exactly which dose and which vial you are asking about, but the method is always the same.

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.

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.

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.

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.

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

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answeredhalvard_ness42k3813 Jan 2025
5This matches what I was told by a laboratory, for whatever that is worth. – kwn_analytical 5 months ago
4Minor: the trial name is hyphenated in the original publication. – s_bhattacharya 3 months ago
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