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Regulated Bioanalysis:
Science and Art of Meeting the Requirements


          India Technology Seminar
    Boston, 29 October – November 1, 2007



                   Dr. Bhaswat S. Chakraborty
                                       30.10.2007
Bioanalytical Guiding Principles
   Used in quantitative determination of drugs and
    their metabolites in biological fluids
       BE, PK, TK and Meatbolomics studies
   Often the Study is as good as the bioanalytical
   Refinement of all aspects in last 20 years
   Implemented as though regulations
   More and more demanding
       From 1980s to date
       US FDA setting the standards
Key Guiding Documents & Publications
   Shah VP et al. Analytical methods validation…. Eur J
    Drug Metab Pharmacokinet. 1991
   Draft Guidance on Bioanalytical: USFDA. 1999
   Bioanalytical Workshop. 2000
   Guidance for Industry: Bioanalytical: USFDA. 2001
   DeSilva B et al. Validation of ligand-binding assays…
    macromolecules. Pharm Res. 2003
   Draft Guidance on Safety Testing of Drug Metabolites:
    USFDA. 2005
   FDA-AAPS Bioanalytical Workshop. 2006
Scientific Questions behind Guidance
   Does the method measure precisely and accurately the
    analyte(s)?
   If so, how was it validated? How complete and accurate is
    the validation?
   Were adequate CC and QC used during incurred sample
    runs? Was each and every batch acceptable?
   Were the incurred samples (& repeats) accurately and
    reproducibly measured and were they stable at all times?
   Is the documentation comprehensive and reconstructive?
Non-Chromatographic Assays: Issues
   E.g., RIA & other ligand binding assays
   Selectivity
       Specific
       Non-specific or Matrix
       Often analyte is also present endogenously
   Quantification
       Non-linear CC
       More points than Chromatographic CC
       Accuracy is questionable, so replicates required
   Cross validation
   Stability is a complex issue
       Stabilty of receptor binding activity as well?
Non-Chromatographic Assays: Validation
   Deplete the matrix of the analyte or employ a
    “surrogate” matrix
   5 or more validation concentrations
       Intra- and interbatch variation
       LLOQ, ~3 times LLOQ, mid [geometric mean], 75% of
        ULOQ,and ULOQ
       At least 2 independent determinations
   Interbatch imprecision (%CV) and inaccuracy (%RE):
    ±20% (25% at LLOQ and ULOQ).
   Total target error (imprecision and inaccuracy) ≤30%
    (40% at LLOQ &ULOQ)
Non-Chromatographic Assays: Batch Runs
   CCs
       At least 75% of the standard points should be within 20% of
        nominal concentrations (25% at LLOQ)
       Does not apply to “ anchor calibrators, ” those outside the
        anticipated validation range and improve “ sigmoidal ” fitting

   QCs
       LQC, MQC, HQC in duplicate
       4 – 6-20 rule
           4 of the 6 QCs must be within 20% of nominal
           At least one QC per conc. meets this criterion
           If additional QCs are used, then 50% of them be within 20%
            of nominal
Non-Chromatographic Assays:
Cross Validation
   E.g., RIA vs LC-MS
   The comparisons can be done both ways.
   Cross-validation with spiked matrix and subject
    samples be conducted at each site or laboratory
       Interlaboratory reliability
           if analyses within a single study are conducted at more
            than one site or lab
           If data generated using different analytical techniques
Chromatographic and Hyphenated Assays
   HPLC, UPLC, GC, LC-MS
   More selective and accurate than LBAs
   Used for small molecules
       Drugs, metabolites, toxicants
   Linear response
   LC-MS: highly sensitive
   High capacity
   Highly reproducible response stability
LC-MS or LC-MS-MS
   LC coupled with one or mass analyzers
       Most popular, very accurate, high throughput
   Quadrupole mass analyzers: most widely used
       Aligns different m/z according to their retention times
   Time-of-flight mass analyzers
       Analyzes different m/z according to the different times taken
        to traverse a fixed distance
   FTICR mass analyzers
       Applies a radiofrequency voltage at the same cyclotron
        frequency of a m/z, the later latter is moved at a larger radius
        than the RF
Validation Batches
   Analyze at least 3 batches for accuracy and
    precision

   At least 1 validation batch should be made as
    large as the largest anticipated sample analysis
    batch
Calibration Samples & Acceptance Criteria
   CC concentrations
       A minimum of 6 non-zero standards
       Matrix blank: Matrix sample without internal standard
       Zero standard: Matrix sample with internal standard


   Acceptance criteria
       Intra- and inter-batch imprecision (%CV) and inaccuracy
        (%RE) ≤15% except at LLOQ where up to 20% can be
        allowed
CC: Intra-Batch


   N         4        4        4        4        4        3        4        4

 MEAN      68.858   56.445   51.053   36.433   15.498   7.957    0.983    0.490

  SD(±)    4.5328   4.0874   4.2432   2.8389   1.1250   0.4143   0.0785   0.0183

  %CV       6.58     7.24     8.31     7.79     7.26     5.21     7.99     3.73

%NOMINAL   93.08    95.38    103.51   98.49    104.71   107.52   99.24    100.00
QC Samples & Acceptance Criteria
   QC concentrations
       LLQC: About 3 times the LOQ; MQC: ~geometric
        mean of LQC & HQC; HQC: ~70% to 85% of
        ULOQ; Dilution QC: sufficient to cover highest
        anticipated dilution

   Acceptance criteria
       Intra- and inter-batch imprecision (%CV) and
        inaccuracy (%RE) ≤15% except at LLOQ where up
        to 20% can be allowed
QC: Inter-Batch


     N             22        24      21
    Mean          0.979   35.482   55.913
   SD (+)        0.0670   2.6945   3.6018
   CV (%)         6.85      7.59    6.44
    Min.          0.88     31.75   50.57
    Max.          1.10     40.86   63.63
%Nominal Conc.    98.90    95.90   94.58
Selectivity (Non-interference from Matrix)
   Review noninterference in at least 6 sources of
    matrix for non-MS assays
   For MS assays determine MFs in 6 sources if
    the nonisotopically labeled IS is used
   If isotopically labeled IS is used, demonstrate
    that IS normalized MF is close to unity
   Interference in blank matrix ≤20% of LOQ
Example
Matrix effect accuracy              QC %nominal value 100.70
Hemolysis effect accuracy           QC % nominal value
                                         For LQC is 101.41 and
                                         For HQC is is 100.74


Hemolysis effect precision   QC Coefficient of variation
                                           For LQC is 9.57 and for
                                               HQC is 5.65
Reproducibility of the Method
   Precision and accuracy:
       Inter-run precision and accuracy of the QCs
   Second column or instrument verification:
       Reproducibility of the method on an alternate column or
        instrument
       A batch of precision and accuracy samples is analyzed on a
        different column or instrument on one of the days of
        validation. Good practice but not mandatory
   Reproducibility using incurred samples:
       Sample availability can be an issue
Example: Column to Column Ruggedness
 Conc.ng/mL          QC LOW                   QC MED            QC HIGH
                    0.99 ng/mL               36.99 ng/mL       59.18 ng/mL
                    0.84 – 1.14             31.44 – 42.54     50.03 – 68.06
              Conc.found        %Nom     Conc.found %Nom Conc.found %Nom
                 0.94            94.75     32.90       88.96  58.82      99.39
                 0.89            89.54     33.03       89.28  58.28      98.47
                 1.02           103.18     31.75       85.83  56.18      94.92
                 1.01           101.94     33.32       90.08  53.02      89.59
                 1.14*          114.98     33.93       91.72  53.33      90.11
                 0.95            95.93     35.26       95.32 49.62*      83.84
     N             5                          6                  5
   MEAN          0.962                     33.365            55.926
     SD         0.0536                     1.1704            2.7002
    Min          0.89                      31.75              53.02
    Max          1.02                      35.26              58.82
    %CV          5.57                       3.51               4.83
   %NOM          97.17                     90.20              94.50
Analyte Recovery
   Detector response of extracted vs direct input
   Extent of recovery of analyte and IS
       Demonstrate that it is
           Consistent
           Precise
           Reproducible
   Determine recovery at 3 concentration levels
   Does not have to be close to100%
Example: Drug Recovery
                                         Low QC
                      Extracted response        Unextracted response
                           325712                     605788
                           330450                     611672
                           332840                     621078
                           309710                     607364
                           345282                     606242
                           375431                     602309
         N                     6                          6
        Mean              336570.83                  609075.50
       SD (±)               22257                      6608
      CV (%)                 6.61                       1.08
  Mean recovery (%)                       55.26
Stability of Samples
   Stock solution:
       Minimum of 6 hours at room temp. & Fridge temp. for 24 hr
   Postpreparative (extracted samples/autosampler tray):
       Longest time from preparation through analysis. Vs. fresh
        standards
   Benchtop:
       At ambient temp. (or processing temp.) – for extraction duration
        (typically ~4-24 hr)
   Freeze-thaw:
       QC samples at least 2 conc., 3 cycles, completely thawed,
        refrozen for 24/12 hr, at anticipated storage temp.
   Long-term: Can be postvalidation
       For longest time – collection to for any sample (3 aliquots; low
        and high conc. with fresh standard curves); assess vs. nominal
Example
    Auto sampler stability                                 QC Mean % Change
           (~49 hr)                                        LQC is –4.28 and for
                                                           HQC is –2.35
    Bench Top Stability in matrix at room temperature         QC Mean Change for
    (~ 25.5 Hrs.)                                             LQC is 4.56 for
                                                               HQC is 3.73
    Freeze and thaw stability                                  QC Mean % Change for
    At –30±5°C after 3 cycles                                  LQC is 5.60 and for
                                                               HQC is 3.47
    Dry extract stability                                      QC Mean % Change for
    At –30±5°C after (Approx 51 Hrs.)                         LQC is -6.75 and for
                                                               HQC is 3.16
    Short-term stability in solution at room temperature      Mean % change is -1.10
    (~16.5 Hrs.)
    Short-term stability in solution at refrigerator          Mean % change is –0.48
    (~ 96 Hrs.)
Dilution Integrity for Concentrations >ULQ
   One or more additional QC >>ULQ prepared
    and diluted with blank matrix to bring the
    concentration to within the calibration range
    and then analyzed
   The acceptance criteria for the diluted QC are
    the same as for other QCs
       Intra- and inter-batch imprecision (%CV) and
        inaccuracy (%RE) ≤15%
Example
   Dilution integrity accuracy (as QC %nominal value)
       For 1/5th dilution factor is 96.13
       For 1/10th dilution factor is 111.49
   Dilution integrity precision (as QC %CV)
       For 1/5th dilution factor is 6.82 and
       For 1/10th dilution factor is 4.76
MS Techniques: Matrix Factor
                        Ion Enhancement




    Syringe
     Pump       MS
                        Drug        ISTD




  Autosampler


                        Ion Suppression
MS Techniques: Matrix Factor (MF)
   A quantitative measure of the matrix effects due to
    suppression or enhancement of ionization in an MS
    detector
   MFs can be determined for the analyte and the IS
       Ratio is called IS-normalized MF for the analyte
   IS-normalized MFs using stable isotope labeled IS
       Usually close to unity for bioanalytical samples
   MF or IS-normalized MF be determined in 6
    independent lots of matrices with desirable CV <15%
    (not for stable isotope labeled IS using methods)
PK Repeats
   SOP
       All PK repeats are
        chosen before interim
        analysis of data
       Based on sound PK and
        Bioanalytical principles
        without any bias             Ct
       Original value is retained
        if the repeat value is
        within 15%
       Repeats with one or
        more “correct” estimates
                                          t
CC Algorithm &
Estimation of the Unknown
Data

       Conc. (ng/ml)   Peak Area Ratio

           1501             1.54
          1002.5            0.91
            703             0.77
           249.5            0.25
           99.5             0.13
            30              0.04
            10              0.01
             5              0.01
Comparison: LS vs. MLE

                     Least Squares            MLE

      Intercept       0.009557334         0.009426942
       Slope           0.00099529         0.001014858

     Std. Error       0.023385281         0.029742873

         df                 6                   6



  …very similar in this case but can be very different in other cases
Least Squares vs. MLE
                  1.8
                                                            MLE
                  1.6
                  1.4
                  1.2
Peak Area Ratio




                                                              Least Squares
                   1

                  0.8
                  0.6
                  0.4
                  0.2
                   0
                        0   200   400   600   800    1000   1200   1400   1600
                                          Conc. (ng/ml)
Comparison: LS vs. MLE
An Example where differences can be substantial


  X           Y                       Least Squares      MLE
  5.66        59
  4.63        43         Intercept    3.192698019     10.36237254
  5.21        41           Slope      7.424965403     6.621244357
  6.01        47         Std. Error   0.157779577     3.300103342
  6.17        53             df            10              10
  4.82        43
  5.08        46
  5.51        45
  4.95        41
  5.13        42
  4.66        39
  4.74        45
Linear Weighting (1/X2 and 1/Y2) & MLE


             Least Squares      MLE        Weighted (1/X^2) Weighted 1/Y^2

Intercept    0.009557334     0.009426942       0.00393          0.00262
  Slope       0.00099529     0.001014858       0.00104          0.00102

Std. Error   0.023385281     0.029742873         --               --

    df            6              6                6               6
Conclusions
Current Guidelines are based on
   Expertise
       Correct understanding of the isolation of the analyte from
        matrix, metabolites & noise
       Relevant approach to method development & validation, e.g.,
        target bias, establishment of method characteristics
   Ethics
       Non-deviation from protocol, QA, QC, audit trail
   Focus
       Specificity, accuracy, precision, reproducibility & stability
You are Successful when Your Data
   Enable the regulators know exactly what you
    know & come to the same conclusions
   Provide evidence of ‘correct’ determination of
    unknown concentrations
   Present validation and analytical report
   Are traceable, accounted for and of proven
    integrity
   Are complete
In addition ..
   Be aware of
       CC algorithms, their strengths & pitfalls
       Peak smoothing techniques & expertise
       Peak instability, non-reproducibility of a specific assay
       Having correct & enough SOPs
       Long term sample storage
       Assays where replication of clinical samples assay may be
        necessary
       Regulatory queries & how to respond to them
Acknowledgments:

Dhriti Chakraborty
Chinmoy Ghosh
Adinarayana Andy


                     THANK YOU

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Boston regulated bioanalysis

  • 1. Regulated Bioanalysis: Science and Art of Meeting the Requirements India Technology Seminar Boston, 29 October – November 1, 2007 Dr. Bhaswat S. Chakraborty 30.10.2007
  • 2. Bioanalytical Guiding Principles  Used in quantitative determination of drugs and their metabolites in biological fluids  BE, PK, TK and Meatbolomics studies  Often the Study is as good as the bioanalytical  Refinement of all aspects in last 20 years  Implemented as though regulations  More and more demanding  From 1980s to date  US FDA setting the standards
  • 3. Key Guiding Documents & Publications  Shah VP et al. Analytical methods validation…. Eur J Drug Metab Pharmacokinet. 1991  Draft Guidance on Bioanalytical: USFDA. 1999  Bioanalytical Workshop. 2000  Guidance for Industry: Bioanalytical: USFDA. 2001  DeSilva B et al. Validation of ligand-binding assays… macromolecules. Pharm Res. 2003  Draft Guidance on Safety Testing of Drug Metabolites: USFDA. 2005  FDA-AAPS Bioanalytical Workshop. 2006
  • 4. Scientific Questions behind Guidance  Does the method measure precisely and accurately the analyte(s)?  If so, how was it validated? How complete and accurate is the validation?  Were adequate CC and QC used during incurred sample runs? Was each and every batch acceptable?  Were the incurred samples (& repeats) accurately and reproducibly measured and were they stable at all times?  Is the documentation comprehensive and reconstructive?
  • 5. Non-Chromatographic Assays: Issues  E.g., RIA & other ligand binding assays  Selectivity  Specific  Non-specific or Matrix  Often analyte is also present endogenously  Quantification  Non-linear CC  More points than Chromatographic CC  Accuracy is questionable, so replicates required  Cross validation  Stability is a complex issue  Stabilty of receptor binding activity as well?
  • 6. Non-Chromatographic Assays: Validation  Deplete the matrix of the analyte or employ a “surrogate” matrix  5 or more validation concentrations  Intra- and interbatch variation  LLOQ, ~3 times LLOQ, mid [geometric mean], 75% of ULOQ,and ULOQ  At least 2 independent determinations  Interbatch imprecision (%CV) and inaccuracy (%RE): ±20% (25% at LLOQ and ULOQ).  Total target error (imprecision and inaccuracy) ≤30% (40% at LLOQ &ULOQ)
  • 7. Non-Chromatographic Assays: Batch Runs  CCs  At least 75% of the standard points should be within 20% of nominal concentrations (25% at LLOQ)  Does not apply to “ anchor calibrators, ” those outside the anticipated validation range and improve “ sigmoidal ” fitting  QCs  LQC, MQC, HQC in duplicate  4 – 6-20 rule  4 of the 6 QCs must be within 20% of nominal  At least one QC per conc. meets this criterion  If additional QCs are used, then 50% of them be within 20% of nominal
  • 8. Non-Chromatographic Assays: Cross Validation  E.g., RIA vs LC-MS  The comparisons can be done both ways.  Cross-validation with spiked matrix and subject samples be conducted at each site or laboratory  Interlaboratory reliability  if analyses within a single study are conducted at more than one site or lab  If data generated using different analytical techniques
  • 9. Chromatographic and Hyphenated Assays  HPLC, UPLC, GC, LC-MS  More selective and accurate than LBAs  Used for small molecules  Drugs, metabolites, toxicants  Linear response  LC-MS: highly sensitive  High capacity  Highly reproducible response stability
  • 10. LC-MS or LC-MS-MS  LC coupled with one or mass analyzers  Most popular, very accurate, high throughput  Quadrupole mass analyzers: most widely used  Aligns different m/z according to their retention times  Time-of-flight mass analyzers  Analyzes different m/z according to the different times taken to traverse a fixed distance  FTICR mass analyzers  Applies a radiofrequency voltage at the same cyclotron frequency of a m/z, the later latter is moved at a larger radius than the RF
  • 11. Validation Batches  Analyze at least 3 batches for accuracy and precision  At least 1 validation batch should be made as large as the largest anticipated sample analysis batch
  • 12. Calibration Samples & Acceptance Criteria  CC concentrations  A minimum of 6 non-zero standards  Matrix blank: Matrix sample without internal standard  Zero standard: Matrix sample with internal standard  Acceptance criteria  Intra- and inter-batch imprecision (%CV) and inaccuracy (%RE) ≤15% except at LLOQ where up to 20% can be allowed
  • 13. CC: Intra-Batch N 4 4 4 4 4 3 4 4 MEAN 68.858 56.445 51.053 36.433 15.498 7.957 0.983 0.490 SD(±) 4.5328 4.0874 4.2432 2.8389 1.1250 0.4143 0.0785 0.0183 %CV 6.58 7.24 8.31 7.79 7.26 5.21 7.99 3.73 %NOMINAL 93.08 95.38 103.51 98.49 104.71 107.52 99.24 100.00
  • 14. QC Samples & Acceptance Criteria  QC concentrations  LLQC: About 3 times the LOQ; MQC: ~geometric mean of LQC & HQC; HQC: ~70% to 85% of ULOQ; Dilution QC: sufficient to cover highest anticipated dilution  Acceptance criteria  Intra- and inter-batch imprecision (%CV) and inaccuracy (%RE) ≤15% except at LLOQ where up to 20% can be allowed
  • 15. QC: Inter-Batch N 22 24 21 Mean 0.979 35.482 55.913 SD (+) 0.0670 2.6945 3.6018 CV (%) 6.85 7.59 6.44 Min. 0.88 31.75 50.57 Max. 1.10 40.86 63.63 %Nominal Conc. 98.90 95.90 94.58
  • 16. Selectivity (Non-interference from Matrix)  Review noninterference in at least 6 sources of matrix for non-MS assays  For MS assays determine MFs in 6 sources if the nonisotopically labeled IS is used  If isotopically labeled IS is used, demonstrate that IS normalized MF is close to unity  Interference in blank matrix ≤20% of LOQ
  • 17. Example Matrix effect accuracy QC %nominal value 100.70 Hemolysis effect accuracy QC % nominal value For LQC is 101.41 and For HQC is is 100.74 Hemolysis effect precision QC Coefficient of variation For LQC is 9.57 and for HQC is 5.65
  • 18. Reproducibility of the Method  Precision and accuracy:  Inter-run precision and accuracy of the QCs  Second column or instrument verification:  Reproducibility of the method on an alternate column or instrument  A batch of precision and accuracy samples is analyzed on a different column or instrument on one of the days of validation. Good practice but not mandatory  Reproducibility using incurred samples:  Sample availability can be an issue
  • 19. Example: Column to Column Ruggedness Conc.ng/mL QC LOW QC MED QC HIGH 0.99 ng/mL 36.99 ng/mL 59.18 ng/mL 0.84 – 1.14 31.44 – 42.54 50.03 – 68.06 Conc.found %Nom Conc.found %Nom Conc.found %Nom 0.94 94.75 32.90 88.96 58.82 99.39 0.89 89.54 33.03 89.28 58.28 98.47 1.02 103.18 31.75 85.83 56.18 94.92 1.01 101.94 33.32 90.08 53.02 89.59 1.14* 114.98 33.93 91.72 53.33 90.11 0.95 95.93 35.26 95.32 49.62* 83.84 N 5 6 5 MEAN 0.962 33.365 55.926 SD 0.0536 1.1704 2.7002 Min 0.89 31.75 53.02 Max 1.02 35.26 58.82 %CV 5.57 3.51 4.83 %NOM 97.17 90.20 94.50
  • 20. Analyte Recovery  Detector response of extracted vs direct input  Extent of recovery of analyte and IS  Demonstrate that it is  Consistent  Precise  Reproducible  Determine recovery at 3 concentration levels  Does not have to be close to100%
  • 21. Example: Drug Recovery Low QC Extracted response Unextracted response 325712 605788 330450 611672 332840 621078 309710 607364 345282 606242 375431 602309 N 6 6 Mean 336570.83 609075.50 SD (±) 22257 6608 CV (%) 6.61 1.08 Mean recovery (%) 55.26
  • 22. Stability of Samples  Stock solution:  Minimum of 6 hours at room temp. & Fridge temp. for 24 hr  Postpreparative (extracted samples/autosampler tray):  Longest time from preparation through analysis. Vs. fresh standards  Benchtop:  At ambient temp. (or processing temp.) – for extraction duration (typically ~4-24 hr)  Freeze-thaw:  QC samples at least 2 conc., 3 cycles, completely thawed, refrozen for 24/12 hr, at anticipated storage temp.  Long-term: Can be postvalidation  For longest time – collection to for any sample (3 aliquots; low and high conc. with fresh standard curves); assess vs. nominal
  • 23. Example Auto sampler stability QC Mean % Change (~49 hr) LQC is –4.28 and for HQC is –2.35 Bench Top Stability in matrix at room temperature QC Mean Change for (~ 25.5 Hrs.) LQC is 4.56 for HQC is 3.73 Freeze and thaw stability QC Mean % Change for At –30±5°C after 3 cycles LQC is 5.60 and for HQC is 3.47 Dry extract stability QC Mean % Change for At –30±5°C after (Approx 51 Hrs.) LQC is -6.75 and for HQC is 3.16 Short-term stability in solution at room temperature Mean % change is -1.10 (~16.5 Hrs.) Short-term stability in solution at refrigerator Mean % change is –0.48 (~ 96 Hrs.)
  • 24. Dilution Integrity for Concentrations >ULQ  One or more additional QC >>ULQ prepared and diluted with blank matrix to bring the concentration to within the calibration range and then analyzed  The acceptance criteria for the diluted QC are the same as for other QCs  Intra- and inter-batch imprecision (%CV) and inaccuracy (%RE) ≤15%
  • 25. Example  Dilution integrity accuracy (as QC %nominal value)  For 1/5th dilution factor is 96.13  For 1/10th dilution factor is 111.49  Dilution integrity precision (as QC %CV)  For 1/5th dilution factor is 6.82 and  For 1/10th dilution factor is 4.76
  • 26. MS Techniques: Matrix Factor Ion Enhancement Syringe Pump MS Drug ISTD Autosampler Ion Suppression
  • 27. MS Techniques: Matrix Factor (MF)  A quantitative measure of the matrix effects due to suppression or enhancement of ionization in an MS detector  MFs can be determined for the analyte and the IS  Ratio is called IS-normalized MF for the analyte  IS-normalized MFs using stable isotope labeled IS  Usually close to unity for bioanalytical samples  MF or IS-normalized MF be determined in 6 independent lots of matrices with desirable CV <15% (not for stable isotope labeled IS using methods)
  • 28. PK Repeats  SOP  All PK repeats are chosen before interim analysis of data  Based on sound PK and Bioanalytical principles without any bias Ct  Original value is retained if the repeat value is within 15%  Repeats with one or more “correct” estimates t
  • 29. CC Algorithm & Estimation of the Unknown
  • 30. Data Conc. (ng/ml) Peak Area Ratio 1501 1.54 1002.5 0.91 703 0.77 249.5 0.25 99.5 0.13 30 0.04 10 0.01 5 0.01
  • 31. Comparison: LS vs. MLE Least Squares MLE Intercept 0.009557334 0.009426942 Slope 0.00099529 0.001014858 Std. Error 0.023385281 0.029742873 df 6 6 …very similar in this case but can be very different in other cases
  • 32. Least Squares vs. MLE 1.8 MLE 1.6 1.4 1.2 Peak Area Ratio Least Squares 1 0.8 0.6 0.4 0.2 0 0 200 400 600 800 1000 1200 1400 1600 Conc. (ng/ml)
  • 33. Comparison: LS vs. MLE An Example where differences can be substantial X Y Least Squares MLE 5.66 59 4.63 43 Intercept 3.192698019 10.36237254 5.21 41 Slope 7.424965403 6.621244357 6.01 47 Std. Error 0.157779577 3.300103342 6.17 53 df 10 10 4.82 43 5.08 46 5.51 45 4.95 41 5.13 42 4.66 39 4.74 45
  • 34. Linear Weighting (1/X2 and 1/Y2) & MLE Least Squares MLE Weighted (1/X^2) Weighted 1/Y^2 Intercept 0.009557334 0.009426942 0.00393 0.00262 Slope 0.00099529 0.001014858 0.00104 0.00102 Std. Error 0.023385281 0.029742873 -- -- df 6 6 6 6
  • 36. Current Guidelines are based on  Expertise  Correct understanding of the isolation of the analyte from matrix, metabolites & noise  Relevant approach to method development & validation, e.g., target bias, establishment of method characteristics  Ethics  Non-deviation from protocol, QA, QC, audit trail  Focus  Specificity, accuracy, precision, reproducibility & stability
  • 37. You are Successful when Your Data  Enable the regulators know exactly what you know & come to the same conclusions  Provide evidence of ‘correct’ determination of unknown concentrations  Present validation and analytical report  Are traceable, accounted for and of proven integrity  Are complete
  • 38. In addition ..  Be aware of  CC algorithms, their strengths & pitfalls  Peak smoothing techniques & expertise  Peak instability, non-reproducibility of a specific assay  Having correct & enough SOPs  Long term sample storage  Assays where replication of clinical samples assay may be necessary  Regulatory queries & how to respond to them