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Is 5 mg in 3 mL of bacteriostatic water a sensible presentation for liraglutide?

Asked 14 Oct 2024Modified 18 months agoViewed 55k times
38

Setup, so nobody has to ask: 5 mg · 3 mL · bacteriostatic water · liraglutide.

I would like to set this up properly once, rather than adjust it repeatedly.

My budget is real but not tight, and my tolerance for uncertainty is low.

What should I decide now, and what should I defer?

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VV
askedvoid_volume13k1614 Oct 2024

5 Answers

Accepted answer first, then by votes
115

Accepted answer

Stated carefully, the arithmetic only stops being confusing once you work it through once and see that it is straightforward.

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.

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.

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.

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

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answered · acceptedfelix_araya17k289 Dec 2024
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44

Worth being precise here: the answer depends on exactly which dose and which vial you are asking about, but the method is always the same.

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.

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 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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HN
answeredhalvard_ness42k3820 Dec 2024
The distinction between purity and content cannot be repeated often enough here. – Dr_Rosalind_Achebe 6 months ago
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36

The distinction that resolves most of these questions is understanding what concentration actually means and why it is not the same as label claim.

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 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.

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.

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

edited 24 Jan 2025 by Dr_Elias_Weiss — added the method parameters

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answeredDr_Elias_Weiss46k381 Jan 2025
3I would add a sentence about sterility here, since it is the thing people skip. – Dr_Yusuf_Adeyemi 5 months ago
4The placebo-arm figure is the part everyone omits. – loss_on_drying 7 months ago
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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.

The concentration you actually work with is label claim times content fraction divided by actual diluent volume, which is usually not the same as the nominal concentration because content is usually not 100 per cent and you rarely measure the diluent volume to 0.1 mL precision.

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

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

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DV
answeredDr_Bram_Verhoeven85k24812 Jan 2025
4Is there a reason to prefer the second method over the first, other than cost? – halvard_ness 22 days ago
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21

This is one of those calculations where checking your work takes two minutes and prevents a very consequential error.

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.

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.

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.

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

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ED
answerede_dziedzic87k24823 Jan 2025

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