Preface |
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vii | |
Editors |
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ix | |
Contributors |
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xi | |
1 Interpretation and Treatment of Data |
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1 | (38) |
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2 | (1) |
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1.2 Biopharmaceutical Development |
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2 | (1) |
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1.3 Statistics in Bioprocess Development |
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3 | (1) |
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1.4 Statistical Inferences |
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4 | (5) |
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4 | (1) |
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5 | (1) |
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1.4.3 Continuous Distributions |
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5 | (4) |
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1.4.3.1 Gaussian Distribution |
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5 | (2) |
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1.4.3.2 Student's t-Distribution |
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7 | (1) |
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1.4.3.3 Chi-Square Distribution |
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8 | (1) |
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8 | (1) |
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1.4.4 Discrete Distributions |
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9 | (1) |
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9 | (1) |
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9 | (1) |
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1.5 Sampling Considerations |
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9 | (2) |
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10 | (1) |
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1.5.2 Simple Random Sampling |
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10 | (1) |
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1.5.3 Stratified Sampling |
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10 | (1) |
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1.5.4 Systematic Sampling |
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11 | (1) |
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1.6 Statistical Estimation |
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11 | (7) |
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12 | (1) |
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1.6.2 Interval Estimation |
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12 | (6) |
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1.6.2.1 Confidence Interval |
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12 | (3) |
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1.6.2.2 Prediction Interval |
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15 | (1) |
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1.6.2.3 Tolerance Interval |
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16 | (2) |
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18 | (6) |
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1.7.1 Type I and Type II Errors |
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19 | (1) |
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20 | (1) |
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1.7.3 Statistical Significance |
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21 | (1) |
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22 | (2) |
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1.7.4.1 Issues with Significance Test |
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22 | (1) |
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23 | (1) |
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24 | (3) |
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1.8.1 Sample Size for Estimation |
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24 | (1) |
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1.8.2 Sample Size for Significance Test |
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25 | (1) |
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1.8.3 Sample Size for Equivalence Test |
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26 | (1) |
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1.9 Selection of Method for Data Analysis |
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27 | (3) |
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27 | (2) |
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1.9.2 Test Model Assumptions |
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29 | (1) |
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29 | (1) |
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1.9.2.2 Nonparametric Test |
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30 | (1) |
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1.9.3 Data Transformation |
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30 | (1) |
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30 | (4) |
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31 | (1) |
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32 | (8) |
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32 | (1) |
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33 | (1) |
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1.10.2.3 Other Outlier Tests |
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34 | (1) |
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1.10.2.4 Model-Based Method |
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34 | (1) |
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34 | (2) |
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36 | (1) |
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36 | (3) |
2 Design of Experiments (DOE) for Process Development |
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39 | (38) |
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2.1 Introduction and Overview |
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40 | (4) |
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41 | (1) |
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2.1.2 General Classes of Designs |
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41 | (3) |
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2.2 Before You Start: Planning for Success |
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44 | (3) |
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2.2.1 Defining the Experimental Purpose |
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44 | (1) |
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2.2.2 Selecting the Responses |
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44 | (1) |
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2.2.3 Identifying Factors, Levels, and Ranges |
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45 | (1) |
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2.2.4 Fundamental Design Principles |
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46 | (1) |
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2.3 Design Building Blocks |
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47 | (4) |
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47 | (1) |
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48 | (1) |
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2.3.3 2k-p Fractional Factorial Designs |
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48 | (3) |
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51 | (6) |
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2.4.1 Screening Experiments |
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51 | (2) |
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2.4.2 Characterization Experiments |
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53 | (2) |
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2.4.3 Optimization Experiments |
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55 | (2) |
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2.4.4 Advantages and Disadvantages of the Classical Approach |
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57 | (1) |
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2.5 Analyzing a Single Response |
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57 | (14) |
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2.5.1 Linear Regression Fundamentals |
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57 | (1) |
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2.5.2 Linear Regression Model |
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58 | (1) |
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59 | (1) |
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60 | (1) |
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2.5.5 Statistical Analysis for Screening Experiments |
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61 | (6) |
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2.5.6 Statistical Analysis for Characterization Experiments |
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67 | (3) |
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2.5.7 Statistical Analysis for Optimization Experiments |
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70 | (1) |
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2.6 Analyzing Multiple Responses Simultaneously |
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71 | (3) |
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74 | (1) |
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75 | (2) |
3 Quality by Design Applied in Formulation Development and Robustness |
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77 | (16) |
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77 | (1) |
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3.2 Design Space Definition and Visualization |
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78 | (8) |
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3.2.1 Quality Target Product Profile and Critical Quality Attributes |
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78 | (1) |
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3.2.2 Critical Process Parameters |
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79 | (1) |
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3.2.3 Design of Experiments |
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79 | (2) |
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81 | (1) |
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3.2.5 Probability of Success |
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82 | (1) |
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3.2.6 Visualization of the Results |
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83 | (1) |
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3.2.7 Determining and Reporting the Design Space |
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84 | (1) |
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3.2.8 Design Space vs. PAR |
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85 | (1) |
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85 | (1) |
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86 | (5) |
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91 | (1) |
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91 | (2) |
4 Analytical Procedure Development and Qualification |
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93 | (26) |
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93 | (3) |
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4.1.1 Description of an Analytical Procedure |
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93 | (2) |
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4.1.2 Description of Life Cycle Approach |
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95 | (1) |
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4.1.3 Measurement Error Models |
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95 | (1) |
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4.2 Stage 1: Procedure Design |
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96 | (1) |
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4.3 Stage 2: Procedure Performance Qualification |
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97 | (18) |
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4.3.1 Individual Qualification for Accuracy and Precision |
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97 | (7) |
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4.3.2 Incorporation of a Ruggedness Factor |
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104 | (5) |
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4.3.3 Power Considerations |
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109 | (1) |
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4.3.4 Holistic Qualification of a Bioassay Method |
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110 | (3) |
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4.3.5 Holistic Qualification of a Relative Purity Method |
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113 | (2) |
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4.3.6 Limit of Detection (LOD) and Linearity |
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115 | (1) |
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4.4 Step 3: Continued Procedure Performance Verification |
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115 | (1) |
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116 | (3) |
5 Strategic Bioassay Design, Development, Analysis, and Validation |
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119 | (26) |
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119 | (3) |
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5.1.1 Supporting a Biotechnology Product |
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119 | (1) |
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5.1.2 Product Specifications Ensure Efficacy and Safety |
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120 | (2) |
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5.2 Statistical and Strategic Introduction |
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122 | (5) |
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5.2.1 Common Properties of Bioassays |
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124 | (2) |
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5.2.2 Issues with Common Analysis Strategies |
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126 | (1) |
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5.3 A Recommended Bioassay Analysis Strategy |
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127 | (5) |
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128 | (1) |
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128 | (1) |
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5.3.3 Assay Acceptance Criteria |
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129 | (1) |
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129 | (1) |
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5.3.5 Equivalence Testing for Similarity |
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130 | (1) |
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131 | (1) |
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5.3.7 Bioassay Analysis Summary |
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132 | (1) |
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132 | (4) |
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132 | (1) |
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5.4.2 Practical and Strategic Design Constraints |
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133 | (2) |
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5.4.3 Other Bioassay Design Considerations |
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135 | (1) |
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5.4.4 Design Strategies during Bioassay Development |
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135 | (1) |
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5.5 Other Ways to Be Strategic by Combining Design, Analysis, and Use of Bioassays |
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136 | (1) |
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5.6 Qualification/Validation Experiment Design and Analysis |
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137 | (3) |
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5.6.1 Discussion of the Qualification Experiment Results |
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138 | (2) |
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140 | (2) |
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142 | (3) |
6 Setting Specification |
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145 | (24) |
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6.1 Regulatory Requirements |
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145 | (1) |
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6.2 Identification of Critical Quality Attributes |
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146 | (1) |
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6.3 Selection of Critical Process Parameters and Input Material Attributes |
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147 | (1) |
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148 | (2) |
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6.4.1 Input Material Control |
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149 | (1) |
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149 | (1) |
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6.4.2.1 Procedural Controls |
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149 | (1) |
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6.4.2.2 Process Parameter Controls |
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149 | (1) |
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6.4.2.3 In-Process Testing |
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149 | (1) |
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150 | (1) |
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150 | (1) |
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6.4.5 Comparability Testing |
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150 | (1) |
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6.4.6 Continuous Process Verification |
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150 | (1) |
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6.5 Considerations in Setting Acceptance Criteria |
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150 | (15) |
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151 | (1) |
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6.5.2 Sources of Variation |
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151 | (4) |
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6.5.3 Impact of Correlation |
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155 | (3) |
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6.5.4 Clinical Relevance Limits |
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158 | (3) |
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161 | (1) |
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162 | (12) |
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6.5.6.1 Fixed Effect Model |
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163 | (2) |
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6.6 Multivariate Specifications |
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165 | (1) |
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166 | (1) |
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166 | (3) |
7 Statistical Analysis of Stability Studies |
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169 | (84) |
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170 | (1) |
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7.2 A Word about Study Design |
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171 | (1) |
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7.3 A Word about Source Data |
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172 | (2) |
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7.4 Stability Models for Use in This Chapter |
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174 | (19) |
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174 | (8) |
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7.4.1.1 Statistical Assumptions for the Fixed Lot Model |
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175 | (1) |
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7.4.1.2 Fitting the Fixed Lot Model in JMP® |
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175 | (2) |
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7.4.1.3 Obtaining Output from the Fixed Lot Model Fit in JMP® |
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177 | (1) |
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7.4.1.4 Verifying Statistical Assumptions for the Fixed Lot Model in MP® |
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178 | (4) |
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182 | (4) |
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7.4.2.1 Statistical Assumptions for the Random Lot Model |
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183 | (1) |
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7.4.2.2 Fitting the Random Lot Model in JMP® |
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183 | (1) |
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7.4.2.3 Obtaining Output from the Random Lot Model Fit in JMP® |
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184 | (2) |
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7.4.2.4 Verifying Statistical Assumptions for the Random Lot Model in JMP® |
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186 | (1) |
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7.4.3 Qualitative Predictor Model |
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186 | (8) |
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7.4.3.1 Statistical Assumptions for the Qualitative Predictor Model |
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188 | (1) |
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7.4.3.2 Fitting the Qualitative Predictor Model in JMP® |
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188 | (1) |
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7.4.3.3 Obtaining Output from the Qualitative Predictor Model Fit in JMP® |
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189 | (3) |
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7.4.3.4 Verifying Statistical Assumptions in JMP® |
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192 | (1) |
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193 | (1) |
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7.6 Is There a Trend on Stability? |
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194 | (21) |
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7.6.1 Can a Particular CQA Be Considered "Stability Indicating"? |
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195 | (1) |
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7.6.2 Is the Change over Time Statistically Significant? |
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196 | (4) |
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7.6.3 Is the Change over Time Practically Significant? |
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200 | (2) |
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7.6.4 Is an Individual Result in Trend? |
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202 | (7) |
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7.6.5 Is a Stability Lot in Trend? |
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209 | (3) |
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7.6.6 How Can I Establish a Stability Trending Program? |
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212 | (2) |
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7.6.7 How Can I Perform an Annual "Trend Analysis" as Required for Commercially Approved Products? |
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214 | (1) |
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7.7 How Is the Stability Profile Related to the Expiry Period? |
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215 | (16) |
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7.7.1 What Is the Appropriate Expiry or Retest Period for My Product? |
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216 | (9) |
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7.7.2 Will an Individual Lot Meet Its Intended Expiry Period? |
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225 | (2) |
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7.7.3 Can I Extend the Expiry Period? |
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227 | (1) |
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7.7.4 How Can I Model Behavior for End-to-End Stability for Multiple Product Stages? |
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228 | (3) |
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7.8 How Does the Stability Profile Relate to the Specification Limit? |
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231 | (5) |
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7.8.1 What Is the Appropriate Specification Limit to Achieve a Desired Expiry or Retest Period? |
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232 | (2) |
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7.8.2 Is It Appropriate to Have a Tighter Specification Limit at Lot Release? |
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234 | (1) |
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7.8.3 Does Changing the Specification Limit Impact the Expiry? |
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234 | (1) |
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7.8.4 What Is the Probability of an Individual 00S Result on Stability? |
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234 | (2) |
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7.9 How Much Exposure to a Particular Condition Can Be Allowed without Impacting the Shelf Life? |
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236 | (7) |
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7.9.1 What Is an Appropriate Limit for Exposure to Temperatures above Recommended Storage? |
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236 | (1) |
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7.9.2 How Much Light Exposure Is Acceptable? |
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237 | (2) |
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7.9.3 Does Temperature Cycling Impact My Product? |
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239 | (4) |
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7.10 Do Two (Or More) Different Permutations of My Molecule Change the Same Way over Time? |
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243 | (7) |
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7.10.1 Can I Apply a Bracketing Approach to Several Different Configurations of the Same Product Formulation? |
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243 | (2) |
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7.10.2 Is One Formulation, Container, or Configuration More Stable at a Given Temperature? |
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245 | (1) |
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7.10.3 Is the Stability Profile the Same after a Manufacturing or Process Change? |
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246 | (4) |
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250 | (1) |
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251 | (2) |
8 Continued Process Verification |
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253 | (20) |
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253 | (1) |
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8.2 Statistical Tools for CPV |
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254 | (5) |
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8.2.1 SPC Phases, Control Charts and Process Monitoring |
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254 | (1) |
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8.2.2 Shewhart Control Chart for Individual Measurements |
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255 | (3) |
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258 | (1) |
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8.3 Special Considerations for CPV in the Biopharmaceutical Industry |
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259 | (4) |
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8.3.1 Randomness, Independence, and Normality-Lack Thereof |
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259 | (4) |
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8.4 Business Considerations for Implementation of CPV |
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263 | (3) |
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266 | (5) |
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271 | (2) |
9 Multivariate Analysis for Bioprocess Understanding and Troubleshooting |
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273 | (24) |
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273 | (3) |
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9.2 Multivariate Analysis |
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276 | (7) |
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9.2.1 Multiple Regression |
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276 | (4) |
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9.2.1.1 Overlapping Response Surfaces |
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277 | (1) |
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9.2.1.2 Desirability Approach |
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278 | (1) |
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9.2.1.3 Bayesian Approach |
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279 | (1) |
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280 | (2) |
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282 | (1) |
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9.3 Multivariate Process Control |
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283 | (3) |
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283 | (2) |
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9.3.2 Batch Process Monitoring |
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285 | (1) |
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286 | (7) |
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9.4.1 Operating Ranges of Chromatography Assay |
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286 | (1) |
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9.4.2 Optimization of Cell Culture System |
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287 | (1) |
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9.4.3 Quantification of Scale-Down Model for Bioreactor |
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288 | (2) |
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9.4.4 PCA-Based Process Control |
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290 | (3) |
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293 | (1) |
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293 | (4) |
10 Assessment of Analytical Method Robustness: Statistical versus Practical Significance |
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297 | (12) |
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297 | (1) |
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10.2 Common Steps of a Robustness Assessment |
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298 | (1) |
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10.3 Design of Experiments |
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299 | (2) |
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10.4 Evaluation of Assay Robustness |
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301 | (2) |
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10.4.1 Graphical Evaluation by Half-Normal Plot |
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301 | (1) |
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301 | (1) |
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302 | (1) |
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10.4.4 Statistical vs. Practical Significance |
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302 | (1) |
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303 | (2) |
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305 | (1) |
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305 | (4) |
11 cGMP Sampling |
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309 | (22) |
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309 | (1) |
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11.2 Risk-Based Sampling Plans |
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310 | (1) |
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310 | (3) |
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11.3.1 Raw Material, Drug Substance, and Finished Product Release |
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310 | (1) |
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11.3.2 Process Efficiency |
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311 | (1) |
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11.3.3 Environmental Monitoring |
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311 | (1) |
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311 | (2) |
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11.4 Acceptance Sampling for Lot Inspection |
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313 | (8) |
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11.4.1 Acceptance Sampling Plan |
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313 | (1) |
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314 | (1) |
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11.4.3 Operating Characteristic Curve |
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314 | (1) |
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11.4.4 Single Attribute Sampling |
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314 | (1) |
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11.4.5 Variables Sampling |
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315 | (3) |
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11.4.6 Selection of Sampling Plan |
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318 | (1) |
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11.4.7 Double Sampling Plan |
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319 | (2) |
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11.5 Acceptance Sampling of Liquid Product |
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321 | (3) |
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11.5.1 Prefiltration Bioburden Control |
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321 | (1) |
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11.5.2 Performance of Prefiltration Test Procedures |
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322 | (1) |
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11.5.3 Risk Mitigation through Sterile Filtration |
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323 | (1) |
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11.6 Sampling for Stability Testing |
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324 | (2) |
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11.7 Sampling and Environmental Monitoring |
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326 | (2) |
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11.7.1 Sampling Site, Timing, and Frequency |
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326 | (1) |
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11.7.2 Alert and Action Limits |
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327 | (1) |
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328 | (1) |
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328 | (3) |
Index |
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331 | |