Statistics in QbD Stats WS 09-06

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     Pharmaceutical

    Development Using Quality-by-Design Approach – an

    FDA Perspective

    Chi-an Chen! Ph"D"Christine #oore! Ph"D"

    $%ce of &e Drug Quality AssessmentCD'R(FDA

    FDA()n*ustry Statistics +or,shop+ashington D"C"

    September .-/! 001

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    $utline

    FDA initiatives for 2uality Pharmaceutical C3#Ps for the 4st Century

    $&DQA5s PQAS  6he *esire* state Quality by *esign 7QbD8 an* *esign space 7)C9

    Q:8

    Application of statistical tools in QbD

    Design of e;periments #o*el buil*ing < evaluation Statistical process control

    FDA C#C Pilot Program Conclu*ing remar,s

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     4st Century )nitiatives

    Pharmaceutical C3#Ps for the 4st 

    Century – a ris,-base* approach7/(0=8 http>(("f*a"gov(c*er(gmp(gmp00=(3#P?@nalreport00="htm

    $&DQA +hite Paper onPharmaceutical Quality AssessmentSystem 7PQAS8 http>(("f*a"gov(c*er(gmp(gmp00=(on*c?reorg"htm

    http://www.fda.gov/cder/gmp/gmp2004/GMP_finalreport2004.htmhttp://www.fda.gov/cder/gmp/gmp2004/GMP_finalreport2004.htmhttp://www.fda.gov/cder/gmp/gmp2004/ondc_reorg.htmhttp://www.fda.gov/cder/gmp/gmp2004/ondc_reorg.htmhttp://www.fda.gov/cder/gmp/gmp2004/ondc_reorg.htmhttp://www.fda.gov/cder/gmp/gmp2004/ondc_reorg.htmhttp://www.fda.gov/cder/gmp/gmp2004/GMP_finalreport2004.htmhttp://www.fda.gov/cder/gmp/gmp2004/GMP_finalreport2004.htm

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     6he Desire* State7anet +oo*coc,! $ctober 00B8

     A maximally efcient,

    agile, exible pharmaceuticalmanuacturing sector thatreliably produces high-

    quality drug productswithout extensiveregulatory oversight 

     A mutual goal oindustry, society, and

    regulator 

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    FDA5s )nitiative on Quality byDesign

    )n a Quality-by-Design system>  6he pro*uct is *esigne* to meet patient

    re2uirements  6he process is *esigne* to consistently meet

    pro*uct critical 2uality attributes  6he impact of formulation components an* process

    parameters on pro*uct 2uality is un*erstoo* Critical sources of process variability are i*enti@e*

    an* controlle*  6he process is continually monitore* an* up*ate*

    to assure consistent 2uality over time

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    Quality

    by

    Design

    FDA5s vie on QbD! #oheb &asr!

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    Design Space 7)C9 Q:8

    De@nition> 6he multi*imensional combination an*interaction of input variables 7e"g"! material

    attributes8 an* process parameters that have been*emonstrate* to provi*e assurance of 2uality

    +or,ing ithin the *esign space is not consi*ere*as a change" #ovement out of the *esign space isconsi*ere* to be a change an* oul* normally

    initiate a regulatory post-approval change process" Design space is propose* by the applicant an* is

    subect to regulatory assessment an* approval

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    Current vs" QbD Approach toPharmaceutical Development

    Current Approach QbD Approach

    Quality assure* by testing an*inspection

    Quality built into pro*uct <process by *esign! base* on

    scienti@c un*erstan*ing

    Data intensive submission –*isointe* information ithoutbig pictureE

    nole*ge rich submission –shoing pro*uct ,nole*ge <process un*erstan*ing

    Speci@cations base* on batch

    history

    Speci@cations base* on pro*uct

    performance re2uirements

    FroGen process!E *iscouragingchanges

    Fle;ible process ithin *esignspace! alloing continuousimprovement

    Focus on repro*ucibility – often

    avoi*ing or ignoring variation

    Focus on robustness –

    un*erstan*ing an* controllingvariation

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    Pharmaceutical Development< Pro*uct Hifecycle

    Candidate

    Selection

    Product Design & Development

    Process Design & Development

    Manufacturing Development

    Product

    Approval

    Continuous Improvement

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    Design ofExperiments

    (DOE)

    Model uildingAnd Evaluation

    Process Design & Development!)nitial ScopingProcess CharacteriGationProcess $ptimiGationProcess Robustness

    Statistical 6ool

    Product Design & Development!)nitial ScopingPro*uct CharacteriGationPro*uct $ptimiGation

    Manufacturing Developmentand Continuous Improvement!

    Develop Control SystemsScale-up Pre*iction

     6rac,ing an* tren*ing

    StatisticalProcess Control

    PharmaceuticalDevelopment < Pro*uct

    Hifecycle

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    Process 6erminology

    Process Step

    Input Materials Output Materials

    (Product orIntermediate)

    InputProcess

    Parameters

    MeasuredParametersor Attri"utes

    Control #o*el

    DesignSpace

    Critical #ualit$ Attri"ute

    ProcessMeasurements

    and Controls

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    Design Space Determination

    First-principles approach combination of e;perimental *ata an*

    mechanistic ,nole*ge of chemistry! physics!an* engineering to mo*el an* pre*ictperformance

    Statistically *esigne* e;periments 7D$'s8  e%cient metho* for *etermining impact of

    multiple parameters an* their interactions Scale-up correlation

    a semi-empirical approach to translateoperating con*itions beteen *iIerent scales orpieces of e2uipment

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    Design of ';periments 7D$'8

    Structure*! organiGe* metho* for *etermining

    the relationship beteen factors aIecting aprocess an* the response of that process Application of D$'s>

    Scope out initial formulation or process *esign

    $ptimiGe pro*uct or process Determine *esign space! inclu*ing multivariate

    relationships

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    D$' #etho*ology

    (%) Coose experimental design  7e"g"! full factorial! *-optimal8 (') Conduct randomiedexperiments

    () Create multidimensionalsurface model

      7for optimiGation or control8

    (*) Anal$e data

    ';periment

    Factor A Factor J Factor C

    4 K - -

    - K -

    L K K K=  K - K

    A

    JC

    "minitab"com

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    #o*els for process *evelopment inetic mo*els – rates of reaction or *egra*ation

     6ransport mo*els – movement an* mi;ing of mass orheat

    #o*els for manufacturing *evelopment Computational Mui* *ynamics Scale-up correlations

    #o*els for process monitoring or control Chemometric mo*els Control mo*els

    All mo*els re2uire veri@cation through statisticalanalysis

    #o*el Juil*ing < 'valuation -';amples

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    Chemometrics is the science of relatingmeasurements ma*e on a chemical system or

    process to the state of the system via applicationof mathematical or statistical metho*s 7)CS*e@nition8

    Aspects of chemometric analysis> 'mpirical metho* Relates multivariate *ata to single or multiple responses UtiliGes multiple linear regressions

    Applicable to any multivariate *ata> Spectroscopic *ata #anufacturing *ata

    #o*el Juil*ing < 'valuation -Chemometrics

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    Statistical Process Control -De@nitions

    Statistical process control 7SPC8 is the applicationof statistical metho*s to i*entify an* control thespecial cause of variation in a process" Common cause variation – ran*om Muctuation of

    response cause* by un,non factors Special cause variation – non-ran*om variation cause*

    by a speci@c factor

    Upper ControlHimit

    Hoer ControlHimit

     6arget

    Upper Speci@cationHimit

    Hoer Speci@cation

    HimitSpecial cause variationN

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    *Percent out of specification beyond the high risk specification limit.

    σ3

    )SL!min"pk

     

    2.28%2σ0.7

    15.9%1σ0.33

    0.135%3σ1

    0.003%4σ1.33

    ∼05σ1.7

    ∼06σ2

    Expected Avg. OOS%*|X - SL|Cp

    2.28%2σ0.7

    15.9%1σ0.33

    0.135%3σ1

    0.003%4σ1.33

    ∼05σ1.7

    ∼06σ2

    Expected Avg. OOS%*|X - SL|Cp

    #ndustry Practice is to

    consider processes $ith

    "pk belo$ %.33 as &not

    capable' of meeting

    specifications.

    "pk ( %.33 "pk ( .33

    Process Capability )n*e; 7Cp,8

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    Quality by Design < Statistics

    Statistical analysis has multiple roles

    in the Quality by Design approach Statistically *esigne* e;periments 7D$'s8 #o*el buil*ing < evaluation

    Statistical process control Sampling plans 7not *iscusse* here8

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    C#C Pilot Program

    $bectives> to provi*e an opportunity for participating @rms to submit C#C information base* on QbD FDA to implement Q:! Q/! PA6! PQAS

     6imeframe> began in fall 00BO to en* in spring 00: 3oal> 4 original or supplemental &DAs Status> 4 approve*O L un*er revieO . to be submitte* Submission criteria

    #ore relevant scienti@c information *emonstrating use of QbDapproach! pro*uct ,nole*ge an* process un*erstan*ing! ris,assessment! control strategy

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    C#C Pilot - Application ofQbD

    All pilot &DAs to *ate containe* some elementsof QbD! inclu*ing use of appropriate statistical

    tools D$'s for formulation or process optimiGation 7i"e"!

    *etermining target con*itions8 D$'s for *etermining ranges of *esign space #ultivariate chemometric analysis for in-line(at-line

    measurement using such technology as near-infrare*

    Statistical *ata presentation an* usefulness Concise summary *ata acceptable for submission an*

    revie 3enerally use* by revieers to un*erstan* ho

    optimiGation or *esign space as *etermine*

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    Conclu*ing Remar,s

    Successful implementation of QbD ill re2uiremulti-*isciplinary an* multi-functional teams

    Development! manufacturing! 2uality personnel 'ngineers! analysts! chemists! in*ustrial

    pharmacists < statisticians or,ing together

    FDA5s C#C Pilot Program provi*es anopportunity for applicants to share their QbD

    approaches an* associate* statistical tools FDA loo,s forar* to or,ing ith in*ustry to

    facilitate the implementation of QbD