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Stability

How stable are drugs, how are shelf lives/expiry dates of food (milk, cake, etc), drugs, and medical devices, such as a rapid diagnostic device (pregnancy device, rapid drug test device, etc) are determined?

The Food and Drug Administration (FDA) has strict rules on what is written on the packages of food, drugs, and medical devices. Before expiry date of a product is determined, pilot lots of the product must be manufactured following the exact  manufacturing procedures. The performance data of these pilot lots are tested for collecting the product's performance data. Stability or shelf life under certain storage conditions of these products are collected. There are two ways to conduct a stability study. One is accelerated stability study and another is real time stability study. The acceleration is usually achieved by increased temperature condition, therefore, such studies are called temperature accelerated stability study and real time/real temperature stability study.

Real Time - Real Temperature Stability Study

Because most FDA regulated products have confined storage temperature, the real time/real temperature stability study may be confined to the proposed storage temperature. The FDA requires that real time/real temperature stability study be made for all products that has an expiration date on the label. To do so, the manufacturer or a contractor testing lab obtain three pilot lots of the product and place them at the recommended storage temperature condition and monitor how the products degrades. The time for the first lot of product that falls out of the specification is established as the shelf-life of the product.

Temperature Accelerated Stability Study

How is temperature accelerated stability study designed and how are the data analyzed

 

 

FDA Guideline

Arrhenius Treatment

The stability data from the accelerated stability studies can be treated according to the Arrhenius equation. STABILITY SYSTEM computes the activation energy and the pre-exponential factor as well as the rate constants and the expiry dating periods for several temperature ranges of interest to the pharmaceutical system.
ScienTek Software, Inc. STABILITY SYSTEM    JAN-03-2000   page 1

ARRHENIUS TREATMENT

Summary of kinetic treatment for all temperatures:

  Test: CPD456              Kinetic order:  0 

                               Rate
  File                 Temp(C) Constant        R square (R)
  ==========================================================================================

  X2000.RT             30      0.5433333333    0.871829368334774 (-0.933718034705753)
  X2000.40             40      3.3521978021    0.95616327672629 (-0.97783601729855)
  X2000.50             50      4.5870967741    0.995050053071919 (-0.997521956185386)



Arrhenius treatment result:

  Activation energy = 20891.3247211976 cal/mole

  Pre-exponential coefficient = 804753537220173

  R square (R) = 0.870185483272351 (-0.932837329480521)



The following speicifications are used to calculate
the expiry dating periods shown on the next page:

    Theory = 100
Lower spec = 90
Upper spec = 110





ScienTek Software, Inc. STABILITY SYSTEM    JAN-03-2000   page 2

ARRHENIUS TREATMENT

Summary of predicted rate constants and expiry dating periods at several temperatures:

Test: CPD456                            Kinetic order:  0 

              Rate                      Expiry
Temp (C)      Constant                  Dating (months)
============================================================

0             0.0151269724              661.07081
5             0.0302396974              330.69113
10            0.0589893405              169.52215
15            0.1124328325              88.94199
20            0.2096297716              47.70314
25            0.3827652016              26.12567
30            0.6851448304              14.59545
35            1.2034381612              8.30952
40            2.0761031601              4.81671
45            3.5206815816              2.84035
50            5.8735782295              1.70253
55            9.647222153               1.03656
60            15.6109514737             0.64057
65            24.9042355783             0.40153
70            39.1924832571             0.25515
75            60.8799502177             0.16425
80            93.3957136489             0.10707
85            141.5755519656            0.07063
90            212.1641181024            0.04713
95            314.4720759962            0.03179
100           461.2220728806            0.02168

 ***** 'REFRIGERATED TEMPERATURES' *****
2             0.0200168141              499.57999
3             0.0229908565              434.95552
4             0.0263804125              379.06912
5             0.0302396974              330.69113
6             0.0346297298              288.76921
7             0.039618658               252.40632
8             0.0452829517              220.83366

 ***** 'ROOM TEMPERATURES' *****
15            0.1124328325              88.94199
16            0.1275714723              78.38743
17            0.144622734               69.14542
18            0.1638114583              61.04579
19            0.1853881674              53.94087
20            0.2096297716              47.70314
21            0.2368428701              42.22208
22            0.2673673221              37.40172
23            0.3015783659              33.15887
24            0.3398922037              29.42109
25            0.3827652016              26.12567
26            0.4307043256              23.21778
27            0.4842656742              20.64982
28            0.5440654184              18.38014
29            0.6107769015              16.37259
30            0.6851448304              14.59545





ScienTek Software, Inc. STABILITY SYSTEM    JAN-03-2000   page 3

ARRHENIUS TREATMENT

Summary of predicted rate constants and expiry dating periods at several temperatures:

Test: CPD456                            Kinetic order:  0 

              Rate                      Expiry
Temp (C)      Constant                  Dating (months)
============================================================

 ***** 'FREEZING TEMPERATURES' *****
0             0.015126972442334         661.07081
-5            0.007373979123876         1356.11992
-10           0.003497727960802         2858.99878
-15           0.001611816037681         6204.18197
-20           0.000720352339248         13882.09554
-25           0.000311654148066         32086.85031
-30           0.000130264293955         76767.00726
-35           0.000052487795498         190520.48014
-40           0.000020340008056         491641.88983
-45           0.000007561105973         1322557.84206
-50           0.000002688727778         3719231.10965
-55           0.000000911828359         10966976.29104
-60           0.000000293918958         34022983.92968
-65           0.000000089723072         111454052.64574
-70           0.000000025834318         387082006.00206
-75           0.000000006985215         1431595003.63076
-80           0.00000000176495          5665879697.55248
-85           0.000000000414482         24126485272.0797
-90           0.000000000089928         111200056808.577
-95           0.000000000017906         558468051786.956

 

 

 

Reference Sites

http://www.stabilitysystem.com/arrhenius.htm

 


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