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How many vial-days does a 10 mg vial give at 20 mg/mL on a weekly schedule?

Asked 25 Aug 2024Modified 20 months agoViewed 48k times
40

Conditions: 10 mg · 20 mg/mL.

I want the working, not the result — I need to be able to redo it with different numbers.

I care about the precision as well as the value — I want to know how many figures are real.

How many significant figures are actually justified here?

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TR
askedtobias_reint20k3825 Aug 2024

5 Answers

Sorted by votes
11

0.5 mL of solution, and the rest depends on your dose. A 10 mg vial reconstituted to 20 mg/mL occupies 10 ÷ 20 = 0.5 mL. At a 1 mg weekly dose that is 10 weeks; at 2.4 mg weekly it is 4 weeks — and both of those assume the vial contains its label claim, which is the assumption a content assay exists to test. Subtract one draw's dead space per dose: a few microlitres on a fixed-needle syringe, up to a hundred on a luer one.

More usefully, 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.

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.

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

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.

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 17 Nov 2024 by tabular_nums — added the method parameters

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TN
answeredtabular_nums71k488 Nov 2024
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6

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.

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.

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.

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

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OF
answeredorla_ferriter89k14825 Sept 2024
Confirming: I did the wrong thing here once and got exactly the predicted result. – laminar_bench 5 months ago
2Same experience here, different supplier. – marta_szymanska 7 months ago
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6

More usefully, 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.

The underlying point is that 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.

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.

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TU
answeredtenth_of_a_unit57k3719 Nov 2024
3

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

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 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 it removes the step where you reconstruct it from memory at an inconvenient moment.

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DZ
answeredDr_Marek_Zielinski27k2717 Oct 2024
7Small correction: the units in the third paragraph should be micrograms, not milligrams. – nkem_obiora 9 months ago
8Does this change at lower concentrations, or does adsorption start to dominate? – gradient_slope 31 days ago
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2

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.

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.

The practical summary: fine gauge, gentle swirl, diluent down the wall, room temperature before drawing, and check the syringe scale against the barrel rather than against your assumption.

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TN
answeredtabular_nums71k4828 Oct 2024

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