MEAN KINETIC TEMPERATURE IN GXP ENVIRONMENTS - VAISALA

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MEAN KINETIC TEMPERATURE IN GXP ENVIRONMENTS - VAISALA
Application Note
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Mean Kinetic Temperature                                                     Mean Kinetic Temperature:

in GxP Environments
                                                                             “A single derived temperature
                                                                             that, if maintained over a defined
                                                                             period of time, affords the same
                                                                             thermal challenge to a drug
                                                                             substance or drug product as
                                                                             would be experienced over a
                                                                             range of both higher and lower
                                                                             temperatures for an equivalent
                                                                             defined period. The mean kinetic
                                                                             temperature is higher than the
                                                                             arithmetic mean temperature
                                                                             and takes into account the
                                                                             Arrhenius equation. When
                                                                             establishing the mean kinetic
                                                                             temperature for a defined
                                                                             period, the formula of J. D.
                                                                             Haynes (J. Pharm. Sci., 60:927-
                                                                             929, 1971) can be used.”

                                                                             From ICH Q1A (R2) “Stability
                                                                             Testing of New Drug
Mean kinetic temperature (MKT) was first developed for and applied           Substances & Products”
to controlled room temperature (CRT) storage in warehouses.

Regulatory bodies and                 Regulatory Bodies                     in a given region. The equation
stakeholder organizations in                                                he developed for “Virtual
                                      and Definitions
drug and device manufacturing                                               Temperature” is the same equation
and distribution have long been       The document most cited in            that is used today to calculate
working toward creating standards     GxP-regulated industries for          MKT. It is based on the Arrhenius
for temperature monitoring that       the definition of mean kinetic        equation, which describes the
ensure the shelf life, quality, and   temperature is the International      temperature dependence of simple
safety of products. In the last 15    Conference on Harmonization           chemical reaction rates at ambient
years of these ongoing efforts,       (ICH) guideline: “Stability Testing   temperatures where the rate of
mean kinetic temperature (MKT)        of New Drug Substances and            reaction generally doubles with
has been identified as one of         Products Q1A(R2).” The definition     every 10 degrees Celsius increase
the potential tools available         from this guideline is shown          in temperature.
for evaluating the impact of          above. The original purpose of
temperature on product quality.       the 1971 Haynes paper was to          When establishing the
                                      address the fact that climate-        temperatures for long-term
MKT can be a difficult tool to        based temperature variation in        stability testing of products to be
understand and apply properly.        uncontrolled pharmaceutical           stored at room temperature (RT)
MKT was first proposed to             storage made it difficult to          or controlled room temperature
guide stability studies and is        select a single temperature for       (CRT), the mean kinetic
now considered as a tool for          use in product expiry testing.        temperature in any part of the
evaluating temperature excursions     Simply put, changes in storage        world can be derived from climatic
in the dynamic arena of Good          temperatures can affect the           data. The WHO divides the world
Distribution Practices. The math is   rate at which products degrade.       into four climatic zones: temperate,
difficult for most laypersons, and    Haynes sought to address this         subtropical, hot/dry, and
there is not a consensus on how       variation by calculating a “Virtual   hot/humid, based on drug stability
MKT should be applied.                Temperature” for use in expiry        research. Rules described in ICH
                                      testing that would consider the       Q1A(R2) are meant for climatic
                                      expected temperature variability      zones I-II (USA, EU, and Japan).
MEAN KINETIC TEMPERATURE IN GXP ENVIRONMENTS - VAISALA
The description for stability testing   In short, MKT is a weighted non-      was presented. Taylor argued
conditions in countries located in      linear average that shows the         that MKT could be applied to
Climatic Zones III (hot and dry)        effects of temperature variations     evaluate temperature excursions
and IV (hot and humid) can be           over time.                            in product storage. This was a
found in ICH Q1F explanatory note                                             landmark change in the application
and in the WHO technical report         Mean kinetic temperature is the       of MKT, providing industry with
“Annex 2: Stability testing of active   value used when planning long-        a tool to evaluate the impact of
pharmaceutical ingredients and          term stability study temperatures.    temperature excursions.
finished pharmaceutical products.”      The value includes the annual
                                        variations, e.g., lower and higher    Taylor’s new MKT application was
In practice, products stored at         temperatures during winter and        widely accepted. It was a timely
controlled room temperature are         summer seasons. Thus, storage         concept, especially in the light of
often tested for long-term stability    at a continuous temperature of        the regulatory challenges in Good
in simulated laboratory conditions      25°C during a real-time stability     Distribution Practices. It should be
of 25 or even 30 degrees (at 25°C       study includes the actual             noted that Taylor recommended
± 2°C/60% RH ± 5% RH or 30°C ±          temperature exposure likely to        caution in the application of MKT to
2°C/65% RH ±5% RH) for dating           be encountered under ambient          evaluate temperature excursions.
purposes in climatic zones I-II,        conditions throughout Europe,
without using the exact calculated      North American, and Japan,            The MKT value is supposed to
MKT value for a particular              including real-time excursions        encompass the total amount
location. These temperatures are        from 25°C. However, MKT is            of product deterioration for
recommended by WHO in climatic          different than other weighted         a period that is equivalent to
zones I-II and (compared to the         average calculations because it       the incremental deterioration
Haynes article) are probably high.      accounts for the non-linear effect    that would occur in separate
They are an example of the worst-       of temperature excursions.            excursions. However, the
case scenario ideology often seen                                             calculation is never to be used
in the pharmaceutical and biotech       The FDA and European                  as a substitution for control and
industries. (For recommended long-      Commission regard the calculation     understanding of a controlled
term testing conditions all over        as a tool to help determine storage   environment. Any temperature
the world, see the WHO Technical        conditions, especially for shipping   excursions must be rigorously
Report Series No. 953, 2009, Annex      and storage in specific climatic      investigated. An MKT value
2, Appendix 1 “Long-term stability      zones. (See also the European         does not negate investigative
testing conditions as identified by     Medicines Agency document             responsibility because a short-
WHO Member States.”)                    from the Committee for Human          term spike can indicate a larger
                                        Medicinal Products (CHMP)             problem, or a problem that may
For another regulatory source           “Guideline on Declaration of          worsen. Root causes, as well as
that defines mean kinetic               Storage Conditions” 2007.)            precise time and temperature
temperature, refer also to the                                                data, must be documented
FDA’s draft document: “Guidance         Mean kinetic temperature may          and preventive actions then
for Industry, Stability Testing         have uses beyond stability testing.   incorporated into a CAPA
of Drug Substances and Drug             In 2001, in a paper by J. Taylor of   (corrective actions, preventive
Products.” This draft gives a much      the Medicine Controls Agency,         actions) management plan.
briefer definition: “Mean Kinetic       a different application for MKT
Temperature (MKT) is defined as
the isothermal temperature that
corresponds to the kinetic effects
of a time-temperature distribution.”

The U. S. Pharmacopeia (USP 43
Chapter , “Pharmaceutical
Calculations in Pharmacy
Practice”) definition: “MKT is a
single calculated temperature
at which the total amount of
degradation over a particular
period is equal to the sum of the
individual degradations that would
occur at various temperatures.”
MEAN KINETIC TEMPERATURE IN GXP ENVIRONMENTS - VAISALA
When & Where to Use                        advice to the wholesale                   Ways to Calculate MKT
                                           authorization holder. This clearly
Mean Kinetic Temperature
                                           indicates that the MHRA supports          In its draft article for manufacturers,
Because Vaisala’s Continuous               the use of MKT in transportation.         re-packagers, and warehouses,
Monitoring System software viewLinc                                                  the FDA recommends inserting all
calculates MKT, we are often asked         In addition, USP Chapter 1079,            data points into the MKT equation
how to apply the calculation. MKT          includes MKT among the tools              directly. A minimum of weekly high
was first developed and applied            available to address short-term           and low readings is recommended,
to ambient storage in warehouses,          temperature deviations during             and more rigorous approximations
and our recommendations are                transportation.                           using daily highs and lows, or even
consistent with this application. We                                                 more frequent temperature readings,
recommend using it for relatively          In contrast, the German ZLG               are also described. When calculating
stable, controlled room temperature        (Zentralstelle der Lander fur             a yearly MKT, a minimum of 104
environments during storage                Gesundheitsschutz bei Arzneimitteln       weekly high and low readings would
applications. MKT can be used for          und Medizinprodukten/Central              be used. The yearly MKT should be
refrigerated applications if the typical   Authority of the German Federal           calculated from the monthly MKT
degradation pathway is a chemical          Lander for Health Protection              calculations. The FDA recognizes
breakdown, rather than the result          Regarding Medicinal Products              that, when the yearly MKT of a
of spoilage. We do not recommend           and Medical Devices) states that          facility begins to exceed 25˚C, it
the MKT calculation for incubators         the mean kinetic temperature              may not necessarily have an impact
and stability chambers, which are          is not appropriate for use in a           on products that have been stored
well controlled environments and           transportation risk assessment.           for less than one year at the time.
not used for the storage of finished       Again, this is because the value does     Rather, this value should be taken as
products. We do not recommend              not account for effects that may          a warning that the facility may not be
MKT for cold storage applications, as      lead to irreversible quality defects,     under adequate control.
the degradation resulting from phase       even when certain temperature
changes are not well described by                                                    The USP provides some additional
                                           limits established during stability
the Arrhenius equation.                                                              guidance in Chapter 1079 for
                                           studies are exceeded only for a short
                                                                                     calculating MKT for temperature
                                           time. The MKT value also does not
Nor is MKT ideal for long-term                                                       excursions. For a CRT environment,
                                           account for finer points such as the
storage for the obvious reason that in                                               a 30-day period is recommended,
                                           possible formation of fissures in glass
any average over time, an increase in                                                or the average time that a product
                                           ampoules and injection bottles at
data points will eliminate spikes, such                                              is in the holder’s possession. For
                                           temperatures near freezing point.
as a slowly climbing temperatures                                                    refrigerated environments, this time
that may indicate an equipment                                                       drops to only 24 hours. If MKT is used
                                           Furthermore, calculation of MKT
breakdown. A weighted, but non-                                                      to evaluate temperature excursions,
                                           requires that the temperature
linear average over time is best used                                                it should only be for isolated short-
                                           profiles of all previous transports are
when short excursions are less likely                                                term events that are not recurring.
                                           known, but usually these data are
to cause serious harm (as in CRT)                                                    A storage or transportation system
                                           not available.
and over less time. The calculation                                                  that has repeated excursions should
makes sense in storage and                                                           be considered out of control.
distribution applications, especially
                                             The British Medicines Authority         It may be worth noting that
where there can be fluctuations –
                                             MHRA gives the following                many companies are moving
either because of the climatic zone,         instructions: “MKT should not           away from using the term CRT in
or the season.                               be used to compensate for               their operating procedures and
                                             poor temperature control of             documents. Many instead use a
It is not internationally agreed as          storage facilities. It may be
                                                                                     specific temperature range.
to whether MKT is suitable for use           applied in situations where
in evaluating excursions during              control is relatively good, but         We recommend that control
transportation and shipping. For             where occasional excursions
                                                                                     specifications be unambiguous
                                             may be encountered.”
instance, the MHRA states that                                                       and not subject to interpretation.
if the wholesale authorization               J. Taylor.                              It may be that CRT will fall into
holder can provide the marketing             “Recommendations on the Control         disuse in quality documents and
authorization holder with details of         and Monitoring of Storage and           standard operating procedures soon.
MKT, including the times and extent          Transportation Temperatures of
                                                                                     EMEA guidelines support the same
                                             Medicinal Products,”
of any temperature deviations, this          The Pharmaceutical Journal              ideology. The use of terms such as
information may assist the marketing         (vol 267) July 2001                     `room temperature´ or `ambient
authorization holder in formulating                                                  conditions´ is unacceptable.
MEAN KINETIC TEMPERATURE IN GXP ENVIRONMENTS - VAISALA
oup Statistics

    Threshold
w                Name                    Zone                                      Units           Value      Max       Avg      Min      MKT       STD        Sample
      Lines

                 Temp                    viewLinc/Va...                            Temp            23.6 °C    25        22.8     22       23.3      1.8        7

                 Humidity                viewLinc/Va...                            Humidity        32.5 %RH   35        31.8     29       N/A       3.7        7

                                                                                                                    Figure 1: MKT is often calculated in
                                                                                                                    continuous monitoring software.

       The MHRA has stated: “It is not possible to obtain a meaningful MKT value from daily readings of simple max / min
       thermometers as temperature fluctuation is not a linear function. It is noted that some data loggers and building
       management systems are capable of recording multiple temperature readings over a time period and some
       offer the function of calculating the MKT over a given time period.” The MHRA is clearly stating that continuous
       monitoring data can provide a more meaningful MKT value.

       Regulations evolve with technology and like many monitoring systems, Vaisala’s software viewLinc automatically
       calculates MKT, using every historical data sample. Simply select the timespan you are interested in and the MKT
       values will appear in the software window automatically. (Figure 1). Please note that mean kinetic temperature
       values alone should not be used in decision-making when temperature excursions have occurred. It is repeatedly
       mentioned throughout regulatory documents that information about the excursion duration and extent is required,
       as well as an evaluation of potential effects of the temperature excursion on product quality.

       The MKT Calculation                                                                                          Equation Key
       The easiest and the most meaningful way to get an MKT value is by letting                                    ▪    ∆H = the heat of activation,
       the data loggers and software do the work for you. It is possible to do the                                       which equals 83.144 kJ per
       calculation yourself, but remember that you need an extensive amount of                                           mol (default value; unless more
       data and a calculation tool (e.g., Excel sheets). Otherwise, the calculation                                      accurate information is available
       can easily be overwhelming. Furthermore, any tool used for calculating MKT                                        from experimental studies)
       for use in GMP decision making requires validation.                                                          ▪    R = universal gas constant,
                                                                                                                         which equals 8.3144 x 10-3 kJ
                                                           – ∆H                                                          per degree per mol
       The equation is:
                                                               R
                          TK =
                                 ln (
                                        – ∆H / RT1
                                                     +e
                                                          – ∆H / RT2          – ∆H / RTn
                                                                       +... + e
                                                                                           )
                                                                                               ,
                                                                                                                    ▪    T1 = the (average) temperature,
                                                                 n                                                       in degrees Kelvin, during the
                                                                                                                         first time point
       The values used in the MKT formula are shown at right in the Equation Key.
       It should be noted that ∆H, the activation energy, describes the reaction
                                                                                                                    ▪    T2 = the (average) temperature,
                                                                                                                         in degrees Kelvin, during the
       rate for the degradation of the active ingredients in a drug. A default value                                     second time point
       of 83.144 kJ/mol is typically used as it is a good approximation for most
       pharmaceutical compounds. The default value simplifies the math because
                                                                                                                    ▪    Tn = the (average) temperature,
                                                                                                                         in degrees Kelvin, during the
       it is numerically similar to the universal gas constant. Please note that it                                      nth measured time point;
       is possible to use a different ∆H value that is specific to a given product if                                    n being the amount of the
       that information is available.                                                                                    measured time points

       If you want to see some simplified examples how to calculate the MKT,
                                                                                                                    ▪    TK = result in degrees Kelvin.
                                                                                                                         You’ll receive the final result MKT
       please check USP 43 Chapter  “Pharmaceutical Calculations in                                                (in degree Celsius) by subtraction
       Pharmacy Practice.” Bear in mind that MHRA doesn’t support these                                                  (TK – 273.15°K)
       simplified calculations, nor does the FDA.
Conclusion                                                                                  References
To summarize, we can make six basic recommendations for using                               • European Medicines Agency, committee
                                                                                              for human medicinal products (CHMP),
mean kinetic temperature:
                                                                                              “Guideline on Declaration of Storage
1. MKT should not be used to compensate for temperature excursions                            Conditions:
                                                                                              A) In the product information of
   in any application.
                                                                                                 Medicinal Products
2. When using MKT, ensure you have an adequate number of samples                              B) For Active Substances”
   (time/temperature). The more samples included in the equation, the                       • European Compliance Academy (ECA),
   better the MKT calculation.                                                                GMP News 07.05.2014: “GDP Question:
                                                                                              When to use Mean Kinetic Temperature
3. MKT should not be used in areas where temperature is not well                              Calculation (MKT)?”
   controlled.
                                                                                            • European Compliance Academy
4. Use MKT only if the storage temperature specified on the label of                          (ECA), GMP News 22.04.2015: “GDP: Is
   the product does not exceed 25˚C.                                                          temperature control required for each
                                                                                              Transport?”
5. MKT should not be used for products that require temperatures
   below freezing.                                                                          • FDA: Guidance for Industry Q1A(R2)
                                                                                              Stability Testing of New Drug
6. Regardless of whether you use the MKT calculation or not, all                              Substances and Products
   temperature excursions should be investigated.
                                                                                            • ICH Harmonized Tripartite Guideline,
                                                                                              Stability Testing of New Drug
We hope that this exploration of the history and application of MKT is                        Substances and Products Q1A(R2)
useful. This topic, and its applications in distribution, will likely continue
                                                                                            • ICH Q1F, Explanatory Note on the
to evolve as guidance, regulations, and technologies progress.
                                                                                              Withdrawal of ICH Q1F on the ICH
                                                                                              Website

                                                                                            • J. Pharm. Sci., 60:927-929, 1971. John D.
                                                                                              Haynes. “Worldwide Virtual Temperatures
                                                                                              for Product Stability Testing”

                                                                                            • The Pharmaceutical Journal (vol 267),
                                                                                              July 2001. J. Taylor. “Recommendations
                                                                                              on the Control and Monitoring
                                                                                              of Storage and Transportation
                                                                                              Temperatures of Medicinal Products”

                                                                                            • USP 43 Chapter  Pharmaceutical
                                                                                              calculations in Pharmacy Practice

                                                                                            • USP 43 Chapter  Risks and
                                                                                              Mitigation Strategies for the Storage
                                                                                              and Transportation of Finished Drug
                                                                                              Products

                                                                                            • WHO Technical Report Series No. 953,
                                                                                              2009, Annex 2, Appendix 1 “Long-term
                                                                                              stability testing conditions as identified
                                                                                              by WHO Member States”

                                                                                            • WHO Technical Report Series, No. 953,
                                                                                              2009, Annex 2, Stability testing of active
                                                                                              pharmaceutical ingredients and finished
                                                                                              pharmaceutical products

                                                                                            • “Drug Stability Testing – Classification
                                                                                              of countries according to climatic zone”
                                                                                              published in Drugs made in Germany, by
                                                                                              Dietz, R., Feilner, K., Gerst, F., Grimm, W.

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