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Beyond Traditional
Designs in Early Drug
Development
       MaRS Centre Toronto – Feb 2006
       Miklos Schulz, PhD.
       St. Clare Chung, MMath.
Early Drug Development
! Phase Ib – maximum tolerated dose / schedule
! Phase I/II efficacy-toxicity trade-off studies

Later-phase Studies
! Phase II or Proof-of-Concept trials
   ! A trials to “explore” clinical efficacy with a small
     number of targeted subjects : provide earlier
      evidence of the potential to show clinical efficacy
! Seamless Phase II / III Designs
Design Approaches
! Frequentist (traditional)
! Bayesian
Frequentist vs. Bayesian
Frequentist vs. Bayesian in Clinical
Trials
Objective of Phase I trials
Phase I: Traditional Design
     The only traditional adaptive dose/treatment allocation design
 !
     “1-in-3” Design (3+3 design)
 !
     Treat 3 patients at the starting dose level Di
 !
      ! If 0 patients experience dose-limiting toxicity (DLT),
        escalate to dose Di+1
      ! If 1 or more patients experiences DLT, treat 3 more
        patients at dose level Di
          ! If 1 of 6 experiences DLT, escalate to dose Di+1
          ! If 2 or more experiences DLT, MTD = Di-1
      ! Dose escalation stops when ! 1/3 patients have DLT at a
        given dose level; MTD is next lower dose level
Phase I: Traditional Adaptive Design
Phase I: Traditional Design
! Limitations of “1-in-3” Design
   ! Inflexible; what to do if:
      ! Number of subjects treated at a dose differ from
        algorithm of (3 or 6)
      ! Outcome (DLT) re-assessed after dose-escalation
        decision made
   ! Sample size is variable
   ! Confidence in MTD is usually poor
Continual Reassessment Method
    O’Quigley et al., 1990
!
    Reconcile practical constraints and ethical demands of Phase I studies
!
    Treat patients at the dose which all currently available evidence indicates to
!
    be the best estimate of the MTD
    Two features of CRM:
!
     ! Estimate the MTD after every patient has been dosed and has completed
        the follow-up segment
     ! Allocate next patient to the dose-level suggested to be the MTD
    Currently available evidence:
!
     ! Prior knowledge of MTD
     ! Beliefs in the initial data
Continual Reassessment Method
    Bayesian procedure: one parameter model
!
    Binary response: toxicity vs. no toxicity
!
Continual Reassessment Method
! Method accounts for different number of patients per dose
! Targets a pre-selected DLT rate
! Variants of design:
   ! Two-parameter CRM (Schulz & Chung, 1995)
   ! Modified CRM (Goodman et al. 1995)
   ! Extended CRM [2 stage] (Moller, 1995)
   ! Restricted CRM (Moller, 1995)
   ! Tri-CRM (Zhang et al. 2005)
CRM – Case Study
! Original CRM (one parameter model) adequate
  when dose response curve is typical ‘s-shaped’
! Not efficient when toxicity increases at a slower
  rate over the dose-range tested
! Deficiency compensated by 2-parameter model
CRM – One vs. Two parameter model
CRM – Case Study - Background
    Cancer patients treated at combination doses of 2 drugs
!
    Objective: determine the most efficacious treatment combination which
!
    produces at most, 33% toxicity
    8 dose combination levels were tested
!
    Patients were on 4 cycles of treatment before outcome was determined
!
    Dose-limiting toxicity was any Grade III or IV toxicity in hematological
!
    parameters
    Patients were allocated to dose levels based on the traditional 1-in-3 approach
!
    Re-analysis was performed with the 2-parameter CRM model
!
CRM – Case Study
CRM – Case Study
Efficacy/Toxicity Trade-offs

     Thall PF, Cook J (2004)
!
         Problems with usual Phase I quot; Phase II paradigm
     !
             Phase I designs ignore Response, but no patient hopes
         !
             only for “No Toxicity”
             For Biologic Agents Pr(Response) may be non-
         !
             monotone in dose
             If Pr(Toxicity) is low for all doses but Pr(Response)
         !
             increases with dose, then the superior higher dose will
             not be found
Efficacy/Toxicity Trade-offs
     Thall PF, Cook J (2004)
!
     ! Phase I/II dose-finding strategy
         ! Patient outcome = {response, toxicity}
         ! Investigator defines:
             ! a lower limit P(Res)
             ! an upper limit P(Tox)
             ! three equally desirable(quot;R, quot;T) targets - used to
                construct an Efficacy-Toxicity Trade-off Contour
         ! Dose x is acceptable if:
             ! Pr{quot;E (x,!) > quot;E* | data } > .10     or
             ! Pr{quot;T (x,!) < quot;T* | data } > .10
             Other upper cutoff limits may be used
Efficacy/Toxicity Trade-offs
    Thall PF, Cook J (2004)
!
        Demo and Simulation results from Thall & Cook program
    !
        Program may be downloaded from:
    !
        http://biostatistics.mdanderson.org/SoftwareDownload/

        The Trade-Off-Based Algorithm reliably:
    !
        ! Finds Safe Doses having High Efficacy
        ! Stops if no dose is acceptable
Efficacy/Toxicity Trade-offs
    Yin G, Li Y and Ji Y (2006)
!
       Phase I/II design
     !
       Curve-free; not dependent on a specific response curve
     !
       Incorporate bivariate outcomes, toxicity and efficacy
     !
       Model the data to account for the correlation between toxicity
     !
       and efficacy
     ! Dose for the next cohort of patients is determined from
       responses of previous cohorts and based on odds ratio criteria
       from posterior toxicity and efficacy probabilities
Summary
Clinical Trial Designs: Bayesian /
    Adaptive

     Learn faster quot; more efficient trials
!
     More efficient drug development
!
     More effective treatment of patients in the trial
!
     Drop or add doses
!
     Early stopping for futility
!
Traditional Approaches
! Robust, but inflexible: design parameters cannot be
  changed without affecting robustness / interpretation
! Inefficient / time-wasting (e.g., treating patients in
  ineffective studies arms)
! May focus only on single patient populations -
  therapeutic strategies
! Restricts statistical inferences to information in the
  current trial

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Beyond Traditional Designs in Early Drug Development

  • 1. Beyond Traditional Designs in Early Drug Development MaRS Centre Toronto – Feb 2006 Miklos Schulz, PhD. St. Clare Chung, MMath.
  • 2. Early Drug Development ! Phase Ib – maximum tolerated dose / schedule ! Phase I/II efficacy-toxicity trade-off studies Later-phase Studies ! Phase II or Proof-of-Concept trials ! A trials to “explore” clinical efficacy with a small number of targeted subjects : provide earlier evidence of the potential to show clinical efficacy ! Seamless Phase II / III Designs
  • 3. Design Approaches ! Frequentist (traditional) ! Bayesian
  • 5. Frequentist vs. Bayesian in Clinical Trials
  • 7. Phase I: Traditional Design The only traditional adaptive dose/treatment allocation design ! “1-in-3” Design (3+3 design) ! Treat 3 patients at the starting dose level Di ! ! If 0 patients experience dose-limiting toxicity (DLT), escalate to dose Di+1 ! If 1 or more patients experiences DLT, treat 3 more patients at dose level Di ! If 1 of 6 experiences DLT, escalate to dose Di+1 ! If 2 or more experiences DLT, MTD = Di-1 ! Dose escalation stops when ! 1/3 patients have DLT at a given dose level; MTD is next lower dose level
  • 8. Phase I: Traditional Adaptive Design
  • 9. Phase I: Traditional Design ! Limitations of “1-in-3” Design ! Inflexible; what to do if: ! Number of subjects treated at a dose differ from algorithm of (3 or 6) ! Outcome (DLT) re-assessed after dose-escalation decision made ! Sample size is variable ! Confidence in MTD is usually poor
  • 10. Continual Reassessment Method O’Quigley et al., 1990 ! Reconcile practical constraints and ethical demands of Phase I studies ! Treat patients at the dose which all currently available evidence indicates to ! be the best estimate of the MTD Two features of CRM: ! ! Estimate the MTD after every patient has been dosed and has completed the follow-up segment ! Allocate next patient to the dose-level suggested to be the MTD Currently available evidence: ! ! Prior knowledge of MTD ! Beliefs in the initial data
  • 11. Continual Reassessment Method Bayesian procedure: one parameter model ! Binary response: toxicity vs. no toxicity !
  • 12. Continual Reassessment Method ! Method accounts for different number of patients per dose ! Targets a pre-selected DLT rate ! Variants of design: ! Two-parameter CRM (Schulz & Chung, 1995) ! Modified CRM (Goodman et al. 1995) ! Extended CRM [2 stage] (Moller, 1995) ! Restricted CRM (Moller, 1995) ! Tri-CRM (Zhang et al. 2005)
  • 13. CRM – Case Study ! Original CRM (one parameter model) adequate when dose response curve is typical ‘s-shaped’ ! Not efficient when toxicity increases at a slower rate over the dose-range tested ! Deficiency compensated by 2-parameter model
  • 14. CRM – One vs. Two parameter model
  • 15. CRM – Case Study - Background Cancer patients treated at combination doses of 2 drugs ! Objective: determine the most efficacious treatment combination which ! produces at most, 33% toxicity 8 dose combination levels were tested ! Patients were on 4 cycles of treatment before outcome was determined ! Dose-limiting toxicity was any Grade III or IV toxicity in hematological ! parameters Patients were allocated to dose levels based on the traditional 1-in-3 approach ! Re-analysis was performed with the 2-parameter CRM model !
  • 16. CRM – Case Study
  • 17. CRM – Case Study
  • 18. Efficacy/Toxicity Trade-offs Thall PF, Cook J (2004) ! Problems with usual Phase I quot; Phase II paradigm ! Phase I designs ignore Response, but no patient hopes ! only for “No Toxicity” For Biologic Agents Pr(Response) may be non- ! monotone in dose If Pr(Toxicity) is low for all doses but Pr(Response) ! increases with dose, then the superior higher dose will not be found
  • 19. Efficacy/Toxicity Trade-offs Thall PF, Cook J (2004) ! ! Phase I/II dose-finding strategy ! Patient outcome = {response, toxicity} ! Investigator defines: ! a lower limit P(Res) ! an upper limit P(Tox) ! three equally desirable(quot;R, quot;T) targets - used to construct an Efficacy-Toxicity Trade-off Contour ! Dose x is acceptable if: ! Pr{quot;E (x,!) > quot;E* | data } > .10 or ! Pr{quot;T (x,!) < quot;T* | data } > .10 Other upper cutoff limits may be used
  • 20. Efficacy/Toxicity Trade-offs Thall PF, Cook J (2004) ! Demo and Simulation results from Thall & Cook program ! Program may be downloaded from: ! http://biostatistics.mdanderson.org/SoftwareDownload/ The Trade-Off-Based Algorithm reliably: ! ! Finds Safe Doses having High Efficacy ! Stops if no dose is acceptable
  • 21. Efficacy/Toxicity Trade-offs Yin G, Li Y and Ji Y (2006) ! Phase I/II design ! Curve-free; not dependent on a specific response curve ! Incorporate bivariate outcomes, toxicity and efficacy ! Model the data to account for the correlation between toxicity ! and efficacy ! Dose for the next cohort of patients is determined from responses of previous cohorts and based on odds ratio criteria from posterior toxicity and efficacy probabilities
  • 23. Clinical Trial Designs: Bayesian / Adaptive Learn faster quot; more efficient trials ! More efficient drug development ! More effective treatment of patients in the trial ! Drop or add doses ! Early stopping for futility !
  • 24. Traditional Approaches ! Robust, but inflexible: design parameters cannot be changed without affecting robustness / interpretation ! Inefficient / time-wasting (e.g., treating patients in ineffective studies arms) ! May focus only on single patient populations - therapeutic strategies ! Restricts statistical inferences to information in the current trial