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How many units on a low-dead-space syringe is a 50 mg dose at 1 mg/mL?

Asked 3 Nov 2024Modified 17 months agoViewed 38k times
34

What I am working with: a low-dead-space syringe · 50 mg · 1 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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askedm_haraldsen38k383 Nov 2024

5 Answers

Accepted answer first, then by votes
67

Accepted answer

The part that matters: 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.

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.

Specifically, 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.

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.

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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DS
answered · acceptedDr_Ravi_Selvarajah42k13824 Feb 2025
6The arithmetic checks out. I ran the same numbers and got the same result. – charge_state_3 8 months ago
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61

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

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.

In practice, 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 Arrhenius relationship for drawing kinetics means that cold solution takes noticeably longer to draw than room-temperature solution.

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

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answeredivo_paunovic15k1813 Feb 2025
32

The part that matters: the single most useful thing to do is write the arithmetic on the vial label, because you will reconstruct it from memory at an inconvenient moment if you do not.

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.

Put another way, the rounding error accumulates if you round too many times — rounding concentration to 5.0, rounding the dose volume to 0.1 mL, rounding the unit reading to 10 — and the safest approach is to work the full precision and round only the final answer.

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 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.

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

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AB
answeredassay_blank39k388 Nov 2024
This matches what I was told by a laboratory, for whatever that is worth. – Dr_Otto_Lindqvist 8 months ago
8Minor: the trial name is hyphenated in the original publication. – kelvin_lam 6 months ago
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25

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.

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.

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.

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

edited 6 Dec 2024 by sian_llewellyn — reworded for clarity after a comment

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SL
answeredsian_llewellyn85k24819 Nov 2024
5Is there a reason to prefer the second method over the first, other than cost? – jo_vandeberg 3 months ago
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23

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

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.

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.

I would flag the obvious failure mode: people get the concentration right, get the volume right, and then read the syringe against the wrong scale.

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

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SB
answereds_bhattacharya42k3831 Dec 2024
Have you seen anything published on this, or is it inference from the mechanism? – Dr_Hanne_Solberg 9 months ago
Useful. I have added the accept threshold suggestion to my own notes. – tenth_of_a_unit 7 months ago
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