Why this matters
The FDA has reported that both patients and health care professionals can make dosing errors when converting between milligrams, milliliters, and units. In reports involving compounded semaglutide, some patients administered substantially more than intended, including one report of a 20-fold error. Some of these cases required medical attention or hospitalization. [1] These cases demonstrate how confusion about concentration and measurement can lead to significant dosing errors and downstream medical complications.
Part of the challenge is that injectables are not presented the same way. A prefilled pen, a single-dose vial, a multidose vial, and a compounded vial may each describe the dose and volume differently. The product information is the map, and reading it correctly starts with knowing what each term actually measures.
Four terms to be aware of
An injectable prescription can describe the amount of medicine, the volume of liquid, the concentration, and the markings on a syringe. These terms are related, but each answers a different question.
| Term | What it describes | Example |
|---|---|---|
| Milligrams (mg) | Mass of the active drug. This is the amount prescribed. | 0.5 mg of semaglutide |
| Milliliters (mL) | Volume of liquid. | 0.25 mL |
| Concentration (mg/mL) | How much drug is in each milliliter. Connects mass to volume. | 2 mg/mL |
| Syringe units | A volume marking on the syringe. On a U-100 syringe, 1 unit = 0.01 mL. | 25 units = 0.25 mL |
Milligrams (mg) describe the mass of the active drug, which is the actual amount of medication prescribed. If a prescription names a number of milligrams, it is naming how much active ingredient is intended, not how full the syringe should look.
Milliliters (mL) describe liquid volume. A 1-mL syringe can hold 1 mL, although its measurement markings may be printed in mL, insulin units, or another scale. A smaller syringe may make a small volume easier to see, but the appropriate device depends on the product and its instructions.
Concentration connects mass to volume. It is commonly written as mg/mL, but a product may also show the total amount and total volume together. For example, 10 mg/0.5 mL and 20 mg/mL describe the same concentration.
Units: one word, two meanings
The word “units” can refer to two different things, which is why it causes confusion.
Insulin units describe biological potency. They indicate how much insulin activity a dose has, not simply how much liquid is present. U-100 insulin contains 100 insulin units in every 1 mL, but insulin units and milliliters are still different measurements.
Syringe units are a volume scale. Because a U-100 syringe is calibrated as 100 syringe units per 1 mL, its markings correspond to the following volumes:
- 1 syringe unit = 0.01 mL
- 10 syringe units = 0.1 mL
- 50 syringe units = 0.5 mL
- 100 syringe units = 1 mL
FDA device guidance describes standard 1-mL insulin syringes as 100-unit syringes and 0.5-mL syringes as 50-unit syringes. [2]
A syringe’s scale is a property of the device, while concentration is a property of the liquid. Many compounded injectable medicines are measured with U-100 syringes, so their instructions may use this same scale. In this setting, “25 units” means the syringe marking that corresponds to 0.25 mL. It does not mean 25 mg of the medication or 25 insulin units of biological potency. Other syringe scales exist, such as U-40 syringes used mainly for veterinary insulin, where 40 units equals 1 mL. The same number of units on a different scale is a different volume, so a unit instruction only has meaning alongside the syringe it was written for.
The math, once the concentration is clear
The relationship is straightforward:
Concentration (mg/mL) = amount (mg) ÷ volume (mL)
Volume (mL) = desired amount (mg) ÷ concentration (mg/mL)
Amount (mg) = concentration (mg/mL) × volume (mL)
For a simple example, imagine a vial containing 10 mg in 1 mL. Its concentration is 10 mg/mL. A 0.1 mL volume contains 1 mg:
10 mg/mL × 0.1 mL = 1 mg
On a U-100 syringe, 0.1 mL is the line marked 10 units.
Same marking, different dose
The syringe marking describes volume. The concentration determines how many milligrams are in that volume. Ten units on a U-100 syringe is always 0.1 mL, but the amount of medication in that 0.1 mL changes with the concentration:
| Concentration | Volume at 10 units (U-100) | Amount delivered |
|---|---|---|
| 2 mg/mL | 0.1 mL | 0.2 mg |
| 5 mg/mL | 0.1 mL | 0.5 mg |
| 10 mg/mL | 0.1 mL | 1 mg |
This is why a syringe marking that was correct for one vial cannot be carried forward to a vial with a different concentration.
Compounded formulations: a worked example
Compounding can meet a genuine need when an FDA-approved medicine is not medically appropriate, such as when a patient needs a formulation without a particular ingredient. Compounded drugs are not FDA-approved and are not reviewed through the FDA approval process before marketing. [3]
Some compounded GLP-1 formulations contain a primary medication along with an additional ingredient, such as glycine. A formulation might be written clearly as:
Semaglutide 2 mg/mL + glycine 5 mg/mL
The same formulation may also be written in a combined format, such as:
Semaglutide/glycine 2 mg–5 mg/mL
Here, the two formats are intended to describe the same formulation: every 1 mL contains 2 mg of semaglutide and 5 mg of glycine. In this example, the first number corresponds to the first ingredient and the second number to the second ingredient.
Many vial labels also show the total volume in the vial (for example, 2 mL), the total amount of medication in the vial (for example, 4 mg), or both. These totals are usually printed separately from the concentration. They describe the contents of the whole vial, not a single dose. The concentration (mg/mL) is the number used to calculate each dose. If the concentration is not shown but both totals are, it can be calculated by dividing the total milligrams by the total milliliters. For example, a vial containing 4 mg in 2 mL has a concentration of 2 mg/mL. A calculated concentration should still be confirmed with the pharmacy before it is used to measure a dose.
Step 1: Find the volume for the prescribed amount. If the intended amount of semaglutide were 0.5 mg:
0.5 mg ÷ 2 mg/mL = 0.25 mL
Step 2: Find the additional ingredient in that same volume. The same 0.25 mL contains:
5 mg/mL × 0.25 mL = 1.25 mg of glycine
Step 3: Convert the volume to the syringe marking. On a standard U-100 syringe:
0.25 mL × 100 syringe units/mL = 25 syringe units
The prescription is generally based on the primary active ingredient, semaglutide in this example. Only the semaglutide concentration determines the prescribed semaglutide dose. The additional ingredient is delivered in the same volume and can be calculated from its own concentration; the glycine calculation here is only an illustration of what is co-delivered. The 25 syringe units describe the volume being measured. They do not mean 25 mg of semaglutide or 25 mg of glycine.
Exact notation can vary between pharmacies, so the stated concentration on the current vial is what determines the math.
Common errors to recognize
FDA has described case reports in which a per-mL strength was mistaken for the total amount in a syringe or bag, resulting in large dosing errors. [4] Common mistakes include:
- Reading mg/mL as though it were the total amount in the vial
- Treating the total vial amount as the amount in each injection
- Moving a decimal point while converting mg to mL
- Confusing syringe units with mg
- Using a syringe with a different scale than the instructions require
- Carrying forward a volume from an older concentration
What this means in practice
Safe medication instructions place the intended amount, concentration, volume, and injection device together. Commercial pens are designed around product-specific dose displays. Vials require the prescribed amount to be related to the concentration and syringe units. A stated strength per container is not the same as a strength per mL, and syringe units are not automatically equivalent to milligrams.
The exact vial, prescription, and pharmacy directions should all describe the same formulation and measurement: the current concentration, total volume, route, syringe type, and written dose. When they do not align, the uncertainty is a medication-information problem rather than a math problem, and it should be resolved with the prescriber or pharmacist before the next dose.
This is where physician involvement in your care can make a meaningful difference in preventing harm.
If a dosing error is suspected
If a dose may already have been measured or injected incorrectly, the treating clinician or pharmacist should determine what to do next. Severe or persistent vomiting, severe abdominal pain, fainting, confusion, trouble breathing, or signs of dehydration or low blood sugar after a suspected medication error require urgent medical attention.
Medical-education disclaimer
This article is for general medical education and does not provide individualized dosing, injection, or treatment advice. Prescription decisions, conversions, titration, and responses to a suspected medication error must be handled with the prescribing clinician and pharmacist using the exact current product information. Do not start, stop, or change a prescription based on this article.
References
- FDA alerts health care providers, compounders and patients of dosing errors associated with compounded injectable semaglutide products
- Guidance for the Content of Premarket Notifications for Piston Syringes
- Compounding and the FDA: Questions and Answers
- Differences in strength expression on product labels of compounders and conventional manufacturers may lead to dosing errors