Guide4 min read
Mean kinetic temperature (MKT): how it is calculated and when it can be used
Mean kinetic temperature turns a varying temperature record into the one steady temperature that would have done the same damage. How it is calculated, a worked example, and what USP <1079.2> allows it to be used for.
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Mean kinetic temperature (MKT) is the single steady temperature that would cause the same total degradation in a drug product as the varying temperatures it actually experienced. It turns a temperature record that went up and down into one number. The United States Pharmacopeia (USP) calls it an isothermal storage temperature that simulates the effect of the variation. The stability guideline of the International Council for Harmonisation (ICH), Q1A(R2), defines it the same way and points to the formula J. D. Haynes published in 1971.
Why MKT sits above the arithmetic mean
Degradation does not follow the clock evenly. Chemical reactions speed up steeply as temperature rises, so for a product kept at 25 °C, an hour at 30 °C adds more degradation than an hour at 20 °C takes away. An arithmetic average treats the two hours as cancelling out. MKT does not, which is why it always lands at or above the average when temperatures vary.
How MKT is calculated
USP <1079.2> gives the equation, for temperatures taken at even intervals:
Mean kinetic temperature, USP <1079.2>
A is the average of the readings' weights:
The symbols
- The mean kinetic temperature, in kelvin. Subtract 273.15 for degrees Celsius.
- Each reading, converted to kelvin. The readings are taken at even intervals, and n is how many there are.
- The activation energy: 83.144 kJ per mole by default, unless the product's own studies give a better value.
- The gas constant, 8.3144 × 10⁻³ kJ per mole per kelvin. With the default activation energy, ΔH / R is exactly 10,000 K.
Convert each reading to kelvin
Add 273.15 to each temperature in °C.
Turn each reading into a weight
Raise e to the power −ΔH / RTᵢ. With USP's default activation energy, that is e to the power −10,000 / Tᵢ, a number that grows steeply with temperature.
Average the weights
Add them up and divide by n, the number of readings.
Turn the average back into a temperature
Divide 10,000 K by minus the natural logarithm of the average, then subtract 273.15 to return to °C.
In a spreadsheet, with the readings in °C in cells A2 to A25, that is one formula: =10000/-LN(AVERAGE(EXP(-10000/(A2:A25+273.15))))-273.15. At the default activation energy, a day at 40 °C carries about five times the weight of a day at 25 °C.
Hourly readings over 24 h, product labeled 2 to 8 °C
Illustrative dataShow the data as a table
| Hours | Temperature (°C) |
|---|---|
| 0 to 10 | 5 |
| 10 to 14 | 15 |
| 14 to 24 | 5 |
| Arithmetic mean | 6.67 |
| Mean kinetic temperature | 7.70 |
A worked example
Take a product stored at controlled room temperature, where USP's limit on mean kinetic temperature is 25 °C, calculated over 30 days when the time in your possession is not known. It spends 29 days at exactly 25 °C and then one day at 40 °C. Its arithmetic mean over the 30 days is 25.50 °C. Its mean kinetic temperature is 26.11 °C, above the limit, because the hot day counts five times over.
The same hot day after 29 days at 20 °C gives an MKT of 22.01 °C, comfortably within the limit. A product that has been kept cool has room to absorb a spike; one that has been sitting at the top of its range has none.
| Readings | Arithmetic mean | MKT |
|---|---|---|
| 29 days at 25 °C, then 1 day at 40 °C | 25.50 °C | 26.11 °C |
| 29 days at 20 °C, then 1 day at 40 °C | 20.67 °C | 22.01 °C |
| 29 days at 22 °C, then 1 day at 40 °C | 22.60 °C | 23.60 °C |
| One day, product labeled 2 to 8 °C: 20 hours at 5 °C, then 4 hours at 15 °C | 6.67 °C | 7.70 °C |
| One day, product labeled 2 to 8 °C: 20 hours at 5 °C, then 4 hours at 25 °C | 8.33 °C | 12.88 °C |
Calculated with the USP <1079.2> equation and the default activation energy, from evenly spaced readings. The interval itself does not change the result: a day logged every 15 minutes at a constant 40 °C carries the same weight as one daily reading of 40 °C.
The last two rows show why refrigerated products get so little room. Four hours at 15 °C keep the day's MKT under 8 °C. Four hours at 25 °C take it to almost 13 °C, and that excursion is outside what USP allows for refrigerated products in any case.
When USP allows it
USP <1079.2> sets out how MKT is used to evaluate excursions, with a window for each storage condition. The window matters: MKT over a long enough period can make almost any spike disappear, which is the misuse USP is guarding against.
| Storage condition | MKT limit | Calculated over | Allowed excursions |
|---|---|---|---|
| Controlled cold, 2 to 8 °C | 8 °C | 24 hours | 8 to 15 °C, no more than 15 °C, for up to 24 hours |
| Controlled room temperature, 20 to 25 °C | 25 °C | The days in your possession, or 30 days if not known | 15 to 20 °C and 25 to 30 °C; spikes to no more than 40 °C, for up to 24 hours |
| Room temperature in climatic zone IVb, 15 to 30 °C | 30 °C | The days in your possession, or 30 days if not known | 30 to 40 °C, no more than 40 °C, for up to 24 hours |
For storage, MKT is accepted practice. For transport, USP says it can be considered for excursions in transit, provided the calculation is justified by showing that the product's stability-limiting characteristic (the property that would go out of specification first, such as potency) follows zero-order or first-order kinetics over the temperatures it met: that is, it degrades at a steady rate, or at a rate in proportion to how much is left. The revision dated 1 August 2025 added that MKT can be calculated over the whole shipment, from origin to destination, and added the climatic zone IVb row for hot and very humid regions.
When it does not apply
USP and the UK's Medicines and Healthcare products Regulatory Agency (MHRA) are both specific about the limits:
- Not to justify a system out of control
- USP: MKT may not be used to justify a storage or transport system with repeated excursions. The MHRA notes that wholesalers have proposed MKT as an alternative to adequate temperature control, and discourages its use without robust supporting information.
- Not over an inflated window
- USP names using 52 weeks of temperature data as the most significant misuse.
- Not to undo an excursion
- lowering the warehouse temperature afterwards brings the number down but not the damage, because degradation at the higher temperature is not reversible.
- Not on its own
- USP: MKT alone is not enough to assess the impact of an excursion. The duration, the peak, and the stability data are needed too.
- Not for every product
- since the 2025 revision, USP says MKT may not be appropriate for products subject to phase change, such as suppositories, suspensions, emulsions, and creams, and that biologics are a category for which it may not be suitable. Those are evaluated with their own stability and stress studies.
- Not without a value from the authorization holder
- for wholesalers, the MHRA says MKT is only appropriate where the marketing authorization holder provides an acceptable MKT value for the specific product, and the temperature record is consistent and complete from the moment the product leaves the manufacturer.
MKT and the excursion decision
MKT answers one question in the assessment of an excursion: how much thermal stress did the product take, expressed as a single temperature. The decision still needs the rest of the record and the product's stability data. Our guide to temperature excursions covers the full sequence, from reporting to disposition, and our guide to good distribution practice covers the wider rules for storage and transport.
Where Controlant fits
MKT is only as good as the record it is calculated from. The MHRA has pointed out that it fails where a complete chain of temperature recording cannot be tied to a specific consignment. Controlant's devices record temperature for every shipment, allocated to that shipment, from start to delivery, and Zero-Touch Release evaluates each product in the shipment against its own stability profile: its temperature criteria and its remaining stability budget.
Sources
- 1<1079.2> Mean Kinetic Temperature in the Evaluation of Temperature Excursions During Storage and Transportation of Drug Products, revision pre-posted 2 December 2024 for USP-NF 2025United States Pharmacopeia
- 2<659> Packaging and Storage Requirements (Revision Bulletin, official 1 May 2017)United States Pharmacopeia
- 3Q1A(R2) Stability Testing of New Drug Substances and Products, glossaryInternational Council for Harmonisation
- 4J. D. Haynes, Journal of Pharmaceutical Sciences 60 (1971), 927 to 929, as cited in ICH Q1A(R2)Journal of Pharmaceutical Sciences
- 5Refrigerated medicinal products, part 2: transportation, packing, temperature management, the use of third-party couriers and returns (5 May 2016)MHRA Inspectorate blog
Questions people ask
What is mean kinetic temperature?
The single steady temperature that would cause the same total degradation as the varying temperatures a product actually experienced. It is calculated with the Haynes equation given in USP <1079.2>.
How do you calculate mean kinetic temperature?
Convert each evenly spaced reading to kelvin, turn it into a weight of e to the power −ΔH / RT, average the weights, and convert the average back: divide ΔH / R by minus the natural logarithm of the average. With USP's default activation energy, ΔH / R is 10,000 K.
Over what period is MKT calculated?
It depends on the storage condition. USP <1079.2> uses 24 hours for products stored at 2 to 8 °C, and the days the product has been in your possession, or 30 days if that is not known, at controlled room temperature. USP names using 52 weeks of data as the most significant misuse.
Why is MKT higher than the average temperature?
Degradation speeds up more with each degree of warming than it slows with each degree of cooling, so warm periods carry more weight. MKT is always at or above the arithmetic mean when temperatures vary.
What activation energy does USP use for MKT?
83.144 kJ per mole by default, unless the product's own studies give a better value. With USP's value for the gas constant, 8.3144 J per mole per kelvin, that makes ΔH / R exactly 10,000 K.
Can MKT be used for refrigerated products?
Yes, within USP <1079.2>'s limits: calculated over 24 hours, with an MKT of no more than 8 °C and excursions no higher than 15 °C. USP notes that MKT may not be suitable for biologics.
Can MKT be used for transport excursions?
USP says it can be considered, if the product's stability-limiting characteristic follows zero-order or first-order kinetics over the temperatures it met. Since 2025 it can be calculated over the whole shipment, origin to destination.
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