Preface |
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Authors |
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xv | |
Section I Background |
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1 Bayesian Statistics in Drug Development |
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3 | (14) |
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3 | (1) |
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1.2 Overview of Drug Development |
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3 | (6) |
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4 | (1) |
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5 | (1) |
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5 | (1) |
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1.2.4 Laboratory Test Methods |
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6 | (1) |
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1.2.5 Pre-Clinical Studies |
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6 | (1) |
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1.2.6 Clinical Development |
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7 | (1) |
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1.2.6.1 Phase I Clinical Trial |
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7 | (1) |
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1.2.6.2 Phase II Clinical Trial |
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7 | (1) |
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1.2.6.3 Phase III Clinical Trial |
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8 | (1) |
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1.2.6.4 Phase IV Clinical Trial |
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8 | (1) |
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1.2.7 Translational Research |
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8 | (1) |
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1.2.8 Chemistry, Manufacturing, and Controls |
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8 | (1) |
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1.2.9 Regulatory Registration |
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9 | (1) |
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1.3 Statistics in Drug Research and Development |
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9 | (2) |
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11 | (1) |
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1.5 Opportunities of the Bayesian Approach |
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12 | (1) |
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1.5.1 Pre-Clinical Development |
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12 | (1) |
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12 | (1) |
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13 | (1) |
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1.6 Challenges of the Bayesian Approach |
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13 | (2) |
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1.6.1 Objection to Bayesian |
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13 | (1) |
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14 | (1) |
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15 | (2) |
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2 Basics of Bayesian Statistics |
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17 | (24) |
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17 | (1) |
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2.2 Statistical Inferences |
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18 | (5) |
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18 | (1) |
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2.2.2 Probability Distribution |
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18 | (1) |
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2.2.3 Frequentist Methods |
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18 | (1) |
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19 | (3) |
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2.2.4.1 Bayes' Theorem and Posterior Distribution |
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19 | (1) |
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2.2.4.2 Inference about Parameters |
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20 | (1) |
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2.2.4.3 Inference of Future Observations |
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21 | (1) |
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2.2.5 Selection of Priors |
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22 | (1) |
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23 | (11) |
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2.3.1 Monte Carlo Simulation |
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23 | (1) |
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24 | (4) |
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28 | (1) |
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2.3.4 Markov Chain Monte Carlo |
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29 | (5) |
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29 | (2) |
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2.3.4.2 Metropolis-Hastings |
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31 | (3) |
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34 | (5) |
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34 | (1) |
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35 | (1) |
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35 | (4) |
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39 | (2) |
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3 Bayesian Estimation of Sample Size and Power |
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41 | (22) |
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41 | (1) |
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3.2 Sample Size Determination |
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41 | (5) |
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3.2.1 Frequentist Methods |
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41 | (2) |
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3.2.2 Bayesian Considerations |
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43 | (2) |
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3.2.2.1 Prior Information |
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43 | (1) |
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3.2.2.2 Use of Historical Data |
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44 | (1) |
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3.2.3 Bayesian Approaches |
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45 | (1) |
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3.3 Power and Sample Size |
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46 | (8) |
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47 | (7) |
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47 | (1) |
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3.3.1.2 Sample Size Calculations |
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47 | (2) |
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3.3.1.3 Incorporation of Prior |
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49 | (2) |
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3.3.1.4 Proper Bayesian Procedure |
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51 | (1) |
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3.3.1.5 Two Prior Distributions |
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51 | (3) |
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54 | (1) |
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3.4.1 Futility and Sample Size |
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54 | (1) |
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55 | (5) |
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3.5.1 Modeling of Overall Survival |
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55 | (1) |
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3.5.2 Maximum Likelihood Estimation |
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56 | (1) |
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56 | (4) |
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60 | (3) |
Section II Pre-Clinical and Clinical Research |
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4 Pre-Clinical Efficacy Studies |
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63 | (26) |
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63 | (1) |
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4.2 Evaluation of Lab-Based Drugs in Combination |
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64 | (13) |
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64 | (1) |
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4.2.2 Statistical Methods |
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64 | (1) |
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64 | (1) |
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4.2.2.2 Bliss Independence |
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65 | (1) |
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4.2.3 Antiviral Combination |
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65 | (7) |
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66 | (1) |
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66 | (1) |
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4.2.3.3 Assessment of Drug Effect |
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67 | (4) |
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4.2.3.4 Use of Historical Data as Priors |
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71 | (1) |
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4.2.4 Evaluation of Fixed Dose Combination |
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72 | (5) |
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4.2.4.1 Follow-up Experiment |
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72 | (5) |
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4.3 Bayesian Survival Analysis |
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77 | (11) |
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4.3.1 Limitations of Animal Data |
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77 | (1) |
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78 | (1) |
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79 | (4) |
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4.3.3.1 Survival Function |
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80 | (1) |
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80 | (3) |
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83 | (5) |
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88 | (1) |
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5 Bayesian Adaptive Designs for Phase I Dose-Finding Studies |
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89 | (18) |
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89 | (1) |
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5.2 Algorithm-Based Designs |
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89 | (3) |
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89 | (1) |
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5.2.2 Alternate Algorithm-Based Designs |
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90 | (1) |
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5.2.3 Advantages and Disadvantages of Algorithm-Based Designs |
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91 | (1) |
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92 | (14) |
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5.3.1 Continual Reassessment Method |
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92 | (2) |
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92 | (1) |
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5.3.1.2 Procedure for Finding MTD |
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93 | (1) |
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5.3.2 CRM for Phase I Cancer Trials |
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94 | (4) |
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5.3.3 Escalation with Overdose Control |
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98 | (5) |
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5.3.4 Escalation Based on Toxicity Probability Intervals |
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103 | (5) |
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5.3.4.1 Toxicity Probability Intervals |
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103 | (1) |
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103 | (1) |
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104 | (1) |
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5.3.4.4 Method Implementation |
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105 | (1) |
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106 | (1) |
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6 Design and Analysis of Phase II Dose-Ranging Studies |
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107 | (14) |
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107 | (1) |
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6.2 Phase II Dose-Ranging Studies |
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108 | (2) |
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6.2.1 Criticisms of Traditional Methods |
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108 | (1) |
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6.2.2 Model-Based Approaches |
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109 | (1) |
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6.2.2.1 Modeling Dose-Response Curve |
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109 | (1) |
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6.2.2.2 Determination of Minimum Efficacy Dose |
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109 | (1) |
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6.3 Estimating Predictive Precision and Assurance for New Trial |
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110 | (8) |
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110 | (1) |
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110 | (12) |
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6.3.2.1 Selection of Priors |
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112 | (2) |
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6.3.2.2 Estimation of Dose-Response Curve |
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114 | (1) |
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6.3.2.3 Estimation of Precision and Assurance |
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115 | (3) |
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118 | (3) |
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7 Bayesian Multi-Stage Designs for Phase II Clinical Trials |
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121 | (20) |
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121 | (1) |
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7.2 Phase II Clinical Trials |
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122 | (1) |
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122 | (6) |
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7.3.1 Frequentist Approaches |
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122 | (1) |
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123 | (1) |
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7.3.3 Bayesian Single-Arm Trials |
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123 | (2) |
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7.3.3.1 Go or No-Go Criteria |
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124 | (1) |
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7.3.3.2 Predictive Probability |
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124 | (1) |
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7.3.4 Continuous Monitoring of Single-Arm Trials |
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125 | (1) |
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7.3.5 Comparative Phase II Studies |
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126 | (2) |
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7.3.5.1 Efficacy and Futility Based on Posterior Probability |
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126 | (1) |
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7.3.5.2 Efficacy and Futility Criteria Based on Predictive Probability |
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127 | (1) |
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128 | (9) |
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128 | (3) |
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7.4.2 Multi-Stage Bayesian Design |
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131 | (6) |
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137 | (4) |
Section III Chemistry, Manufacturing, and Control |
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141 | (22) |
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141 | (1) |
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142 | (14) |
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142 | (1) |
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8.2.2 Study Design for Validation of Accuracy and Precision |
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143 | (1) |
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8.2.2.1 Design Considerations |
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143 | (1) |
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8.2.3 Current Statistical Methods |
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144 | (1) |
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144 | (1) |
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145 | (1) |
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8.2.4 Total Error Approach |
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145 | (1) |
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146 | (2) |
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148 | (8) |
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148 | (1) |
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149 | (2) |
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151 | (2) |
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8.2.6.4 Analysis Based on More Informative Priors |
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153 | (3) |
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156 | (6) |
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156 | (1) |
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156 | (1) |
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157 | (1) |
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158 | (4) |
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162 | (1) |
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163 | (32) |
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163 | (1) |
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164 | (1) |
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9.3 Critical Quality Attributes |
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165 | (8) |
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9.3.1 Risk of Oncogenicity |
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166 | (1) |
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9.3.2 Bayesian Risk Assessment |
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167 | (1) |
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9.3.3 Modeling Enzyme Cutting Efficiency |
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167 | (1) |
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168 | (2) |
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170 | (3) |
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173 | (13) |
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173 | (2) |
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9.4.2 Statistical Methods for Design Space |
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175 | (3) |
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175 | (1) |
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9.4.2.2 Desirability Method |
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175 | (2) |
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9.4.2.3 Criticisms of Current Methods |
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177 | (1) |
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9.4.3 Bayesian Design Space |
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178 | (3) |
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178 | (1) |
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9.4.3.2 Prior Information |
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179 | (1) |
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9.4.3.3 Posterior Predictive Probability and Design Space |
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179 | (2) |
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181 | (5) |
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186 | (7) |
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9.5.1 Risk-Based Lifecycle Approach |
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186 | (1) |
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9.5.2 Method Based on Process Capability |
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187 | (2) |
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9.5.2.1 Frequentist Acceptance Criterion |
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187 | (1) |
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9.5.2.2 Bayesian Acceptance Criterion |
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188 | (1) |
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9.5.3 Method Based on Predictive Performance |
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189 | (2) |
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9.5.4 Determination of Number of PPQ Batches |
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191 | (2) |
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193 | (2) |
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195 | (22) |
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195 | (1) |
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196 | (1) |
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10.3 Shelf-Life Estimation |
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197 | (14) |
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197 | (1) |
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10.3.2 Bayesian Approaches |
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198 | (2) |
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200 | (7) |
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10.3.3.1 Shelf Life of Influenza Vaccine |
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200 | (7) |
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10.3.4 Selection of Stability Design |
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207 | (1) |
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10.3.5 Bayesian Criterion |
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208 | (3) |
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208 | (1) |
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209 | (2) |
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10.4 Setting Release Limit |
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211 | (4) |
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211 | (4) |
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215 | (2) |
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217 | (30) |
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217 | (1) |
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11.2 Quality Control and Improvement |
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218 | (1) |
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219 | (1) |
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11.4 Types of Control Charts |
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220 | (7) |
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11.4.1 Shewhart I-MR Charts |
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221 | (2) |
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11.4.2 EWMA Control Chart |
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223 | (2) |
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225 | (1) |
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226 | (1) |
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11.4.5 Multivariate Control Chart |
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227 | (1) |
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11.5 Bayesian Control Charts |
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227 | (17) |
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11.5.1 Control Chart for Data with Censoring |
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227 | (2) |
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11.5.2 Control Chart for Discrete Data |
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229 | (5) |
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11.5.3 Control Limit for Aberrant Data |
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234 | (5) |
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234 | (1) |
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235 | (4) |
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11.5.4 Product Quality Control Based on Safety Data from Surveillance |
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239 | (5) |
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239 | (1) |
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239 | (2) |
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11.5.4.3 Zero-Inflated Models |
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241 | (1) |
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11.5.4.4 Alert Limit for AEs |
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242 | (2) |
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244 | (3) |
Appendix: Stan Computer Code |
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247 | (36) |
References |
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283 | (18) |
Index |
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