Preface xix
Contributors xxi
1 Introduction to Pharmacokinetics and Pharmacodynamics 1
Sara E. Rosenbaum
1.1 Introduction: Drugs and Doses 2
1.2 Introduction to Pharmacodynamics 3
1.2.1 Drug Effects at the Site of Action 3
1.2.2 Agonists, Antagonists, and Concentration–Response Relationships 6
1.3 Introduction to Pharmacokinetics 9
1.3.1 Plasma Concentration of Drugs 9
1.3.2 Processes in Pharmacokinetics 11
1.4 Dose–Response Relationships 12
1.5 Therapeutic Range 14
1.5.1 Determination of the Therapeutic Range 15
1.6 Summary 18
Reference 18
2 Passage of Drugs Through Membranes 19
Sara E. Rosenbaum
2.1 Introduction 20
2.2 Structure and Properties of Membranes 20
2.3 Passive Diffusion 21
2.3.1 Transcellular Passive Diffusion 23
2.3.2 Paracellular Passive Diffusion 25
2.4 Carrier-Mediated Processes: Transport Proteins 26
2.4.1 Uptake Transporters: SLC Superfamily 27
2.4.2 Efflux Transporters: ABC Superfamily 29
2.4.3 Characteristics of Transporter Systems 31
2.4.4 Simulation Exercise 32
2.4.5 Clinical Examples of Transporter Involvement in Drug Response 32
References 33
3 Drug Administration and Drug Absorption 35
Steven C. Sutton
3.1 Introduction: Local and Systemic Drug Administration 36
3.2 Routes of Drug Administration 37
3.2.1 Common Routes of Local Drug Administration 37
3.2.2 Common Routes of Systemic Drug Administration 38
3.3 Overview of Oral Absorption 41
3.3.1 Anatomy and Physiology of the Oral-Gastric-Intestinal Tract and Transit Time 41
3.4 Extent of Drug Absorption 44
3.4.1 Bioavailability Factor 44
3.4.2 Individual Bioavailability Factors 45
3.5 Determinants of the Fraction of the Dose Absorbed (F) 46
3.5.1 Disintegration 46
3.5.2 Dissolution 46
3.5.3 Formulation Excipients 50
3.5.4 Adverse Events within the Gastrointestinal Lumen 50
3.5.5 Transcellular Passive Diffusion 53
3.5.6 Particulate Uptake 53
3.5.7 Paracellular Passive Diffusion 53
3.5.8 Uptake and Efflux Transporters 54
3.5.9 Presystemic Intestinal Metabolism or Extraction 58
3.5.10 Presystemic Hepatic Metabolism or Extraction 60
3.6 Factors Controlling the Rate of Drug Absorption 61
3.6.1 Dissolution-Controlled Absorption 63
3.6.2 Membrane Penetration-Controlled Absorption 63
3.6.3 Overall Rate of Drug Absorption 63
3.7 Biopharmaceutics Classification System 64
3.7.1 Intestinal Reserve Length 64
3.7.2 Biopharmaceutics Classification System (BCS) 64
3.7.3 Biopharmaceutics Drug Disposition Classification System (BDDCS) 65
3.8 Food Effects 65
Problems 66
References 67
4 Drug Distribution 71
Sara E. Rosenbaum
4.1 Introduction 72
4.2 Extent of Drug Distribution 72
4.2.1 Distribution Volumes 74
4.2.2 Tissue Binding Plasma Protein Binding and Partitioning: Concentrating Effects 75
4.2.3 Assessment of the Extent of Drug Distribution: Apparent Volume of Distribution 76
4.2.4 Plasma Protein Binding 82
4.3 Rate of Drug Distribution 89
4.3.1 Perfusion-Controlled Drug Distribution 90
4.3.2 Diffusion or Permeability-Controlled Drug Distribution 93
4.4 Distribution of Drugs to the Central Nervous System 93
Problems 96
References 98
5 Drug Elimination and Clearance 99
Sara E. Rosenbaum
5.1 Introduction 100
5.1.1 First-Order Elimination 101
5.1.2 Determinants of the Elimination Rate Constant and the Half-Life 102
5.2 Clearance 102
5.2.1 Definition and Determinants of Clearance 102
5.2.2 Total Clearance, Renal Clearance, and Hepatic Clearance 104
5.2.3 Relationships among Clearance, Volume of Distribution, Elimination Rate Constant, and Half-Life 105
5.2.4 Primary and Secondary Parameters 106
5.2.5 Measurement of Total Body Clearance 106
5.3 Renal Clearance 108
5.3.1 Glomerular Filtration 109
5.3.2 Tubular Secretion 110
5.3.3 Tubular Reabsorption 113
5.3.4 Putting Meaning into the Value of Renal Clearance 114
5.3.5 Measurement of Renal Clearance 115
5.3.6 Fraction of the Dose Excreted Unchanged 118
5.4 Hepatic Elimination and Clearance 119
5.4.1 Phase I and Phase II Metabolism 120
5.4.2 The Cytochrome P450 Enzyme System 121
5.4.3 Glucuronidation 122
5.4.4 Metabolism-Based Drug–Drug Interactions 122
5.4.5 Hepatic Drug Transporters and Drug–Drug Interactions 125
5.4.6 Kinetics of Drug Metabolism 127
5.4.7 Hepatic Clearance and Related Parameters 128
Problems 139
References 142
6 Compartmental Models in Pharmacokinetics 145
Sara E. Rosenbaum
6.1 Introduction 146
6.2 Expressions for Component Parts of the Dose–Plasma Concentration Relationship 146
6.2.1 Effective Dose 146
6.2.2 Rate of Drug Absorption 147
6.2.3 Rate of Drug Elimination 148
6.2.4 Rate of Drug Distribution 148
6.3 Putting Everything Together: Compartments and Models 149
6.3.1 One-Compartment Model 149
6.3.2 Two-Compartment Model 150
6.3.3 Three-Compartment Model 150
6.4 Examples of Complete Compartment Models 152
6.4.1 Intravenous Bolus Injection in a One-Compartment Model with First-Order Elimination 152
6.4.2 Intravenous Bolus Injection in a Two-Compartment Model with First-Order Elimination 153
6.4.3 First-Order Absorption in a Two-Compartment Model with First-Order Elimination 154
6.5 Use of Compartmental Models to Study Metabolite Pharmacokinetics 155
6.6 Selecting and Applying Models 156
Problems 157
Suggested Readings 157
7 Pharmacokinetics of an Intravenous Bolus Injection in a One-Compartment Model 159
Sara E. Rosenbaum
7.1 Introduction 160
7.2 One-Compartment Model 160
7.3 Pharmacokinetic Equations 162
7.3.1 Basic Equation 162
7.3.2 Half-Life 163
7.3.3 Time to Eliminate a Dose 163
7.4 Simulation Exercise 163
7.5 Application of the Model 165
7.5.1 Predicting Plasma Concentrations 165
7.5.2 Duration of Action 166
7.5.3 Value of a Dose to Give a Desired Initial Plasma Concentration 167
7.5.4 Intravenous Loading Dose 167
7.6 Determination of Pharmacokinetic Parameters Experimentally 168
7.6.1 Study Design for the Determination of Parameters 168
7.6.2 Pharmacokinetic Analysis 169
7.7 Pharmacokinetic Analysis in Clinical Practice 173
Problems 174
Suggested Reading 176
8 Pharmacokinetics of an Intravenous Bolus Injection in a Two-Compartment Model 177
Sara E. Rosenbaum
8.1 Introduction 178
8.2 Tissue and Compartmental Distribution of a Drug 179
8.2.1 Drug Distribution to the Tissues 179
8.2.2 Compartmental Distribution of a Drug 180
8.3 Basic Equation 181
8.3.1 Distribution: A, α, and the Distribution t1/2 182
8.3.2 Elimination: B, β, and the β t1/2 182
8.4 Relationship Between Macro and Micro Rate Constants 183
8.5 Primary Pharmacokinetic Parameters 183
8.5.1 Clearance 184
8.5.2 Distribution Clearance 184
8.5.3 Volume of Distribution 186
8.6 Simulation Exercise 188
8.7 Determination of the Pharmacokinetic Parameters of the Two-Compartment Model 191
8.7.1 Determination of Intercepts and Macro Rate Constants 191
8.7.2 Determination of the Micro Rate Constants: k12 k21 and k10 193
8.7.3 Determination of the Primary Pharmacokinetic Parameters 193
8.8 Clinical Application of the Two-Compartment Model 194
8.8.1 Measurement of the Elimination Half-Life in the Postdistribution Phase 194
8.8.2 Determination of the Loading Dose 195
8.8.3 Evaluation of a Dose: Monitoring Plasma Concentrations and Patient Response 197
Problems 197
Suggested Readings 199
9 Pharmacokinetics of Extravascular Drug Administration 201
Dr. Steven C. Sutton
9.1 Introduction 202
9.2 First-Order Absorption in a One-Compartment Model 203
9.2.1 Model and Equations 203
9.2.2 Parameter Determination 205
9.2.3 Absorption Lag Time 210
9.2.4 Flip-Flop Model and Sustained-Release Preparations 212
9.2.5 Determinants of Tmax and Cmax 212
9.3 Modified Release and Gastric Retention Formulations 214
9.3.1 Impact of the Stomach 214
9.3.2 Moisture in the Gastrointestinal Tract 215
9.4 Bioavailability 215
9.4.1 Bioavailability Parameters 215
9.4.2 Absolute Bioavailability 217
9.4.3 Relative Bioavailability 217
9.4.4 Bioequivalence 217
9.4.5 Single-Dose Crossover Parallel and Steady-State Study Designs 219
9.4.6 Example Bioavailability Analysis 219
9.5 In Vitro-In Vivo Correlation 219
9.5.1 Definitions 219
9.5.2 Assumptions 220
9.5.3 Utility 220
9.5.4 Immediate Release IVIVC 220
9.5.5 Modified Release IVIVC 221
9.6 Simulation Exercise 222
Problems 223
References 224
10 Introduction to Noncompartmental Analysis 225
Sara E. Rosenbaum
10.1 Introduction 225
10.2 Mean Residence Time 226
10.3 Determination of Other Important Pharmacokinetic Parameters 229
10.4 Different Routes of Administration 231
10.5 Application of Noncompartmental Analysis to Clinical Studies 232
Problems 234
11 Pharmacokinetics of Intravenous Infusion in a One-Compartment Model 237
Sara E. Rosenbaum
11.1 Introduction 238
11.2 Model and Equations 239
11.2.1 Basic Equation 239
11.2.2 Application of the Basic Equation 241
11.2.3 Simulation Exercise: Part 1 241
11.3 Steady-State Plasma Concentration 242
11.3.1 Equation for Steady-State Plasma Concentrations 242
11.3.2 Application of the Equation 242
11.3.3 Basic Formula Revisited 243
11.3.4 Factors Controlling Steady-State Plasma Concentration 243
11.3.5 Time to Steady State 244
11.3.6 Simulation Exercise: Part 2 245
11.4 Loading Dose 246
11.4.1 Loading-Dose Equation 246
11.4.2 Simulation Exercise: Part 3 248
11.5 Termination of Infusion 248
11.5.1 Equations for Termination Before and After Steady State 248
11.5.2 Simulation Exercise: Part 4 249
11.6 Individualization of Dosing Regimens 249
11.6.1 Initial Doses 249
11.6.2 Monitoring and Individualizing Therapy 250
Problems 252
12 Multiple Intravenous Bolus Injections in the One-Compartment Model 255
Sara E. Rosenbaum
12.1 Introduction 256
12.2 Terms and Symbols Used in Multiple-Dosing Equations 257
12.3 Monoexponential Decay During a Dosing Interval 259
12.3.1 Calculation of Dosing Interval to Give Specific Steady-State Peaks and Troughs 260
12.4 Basic Pharmacokinetic Equations for Multiple Doses 260
12.4.1 Principle of Superposition 260
12.4.2 Equations that Apply Before Steady State 261
12.5 Steady State 262
12.5.1 Steady-State Equations 263
12.5.2 Average Plasma Concentration at Steady State 264
12.5.3 Fluctuation 267
12.5.4 Accumulation 267
12.5.5 Time to Reach Steady State 269
12.5.6 Loading Dose 270
12.6 Basic Formula Revisited 270
12.7 Pharmacokinetic-Guided Dosing Regimen Design 270
12.7.1 General Considerations for Selection of the Dosing Interval 270
12.7.2 Protocols for Pharmacokinetic-Guided Dosing Regimens 272
12.8 Simulation Exercise 276
Problems 277
Reference 278
13 Multiple Intermittent Infusions 279
Sara E. Rosenbaum
13.1 Introduction 279
13.2 Steady-State Equations for Multiple Intermittent Infusions 281
13.3 Monoexponential Decay During a Dosing Interval: Determination of Peaks Troughs and Elimination Half-Life 284
13.3.1 Determination of Half-Life 284
13.3.2 Determination of Peaks and Troughs 286
13.4 Determination of the Volume of Distribution 286
13.5 Individualization of Dosing Regimens 289
13.6 Simulation 289
Problems 290
14 Multiple Oral Doses 293
Sara E. Rosenbaum
14.1 Introduction 293
14.2 Steady-State Equations 294
14.2.1 Time to Peak Steady-State Plasma Concentration 295
14.2.2 Maximum Steady-State Plasma Concentration 296
14.2.3 Minimum Steady-State Plasma Concentration 296
14.2.4 Average Steady-State Plasma Concentration 296
14.2.5 Overall Effect of Absorption Parameters on a Steady-State Dosing Interval 297
14.3 Equations Used Clinically to Individualize Oral Doses 298
14.3.1 Protocol to Select an Appropriate Equation 298
14.4 Simulation Exercise 300
References 301
15 Nonlinear Pharmacokinetics 303
Sara E. Rosenbaum
15.1 Linear Pharmacokinetics 304
15.2 Nonlinear Processes in Absorption, Distribution, Metabolism, and Elimination 306
15.3 Pharmacokinetics of Capacity-Limited Metabolism 307
15.3.1 Kinetics of Enzymatic Processes 307
15.3.2 Plasma Concentration–Time Profile 309
15.4 Phenytoin 310
15.4.1 Basic Equation for Steady State 311
15.4.2 Estimation of Doses and Plasma Concentrations 313
15.4.3 Influence of Km and Vmax and Factors That Affect These Parameters 314
15.4.4 Time to Eliminate the Drug 316
15.4.5 Time to Reach Steady State 317
15.4.6 Individualization of Doses of Phenytoin 318
Problems 321
References 322
16 Introduction to Pharmacogenetics 323
Dr. Daniel Brazeau
16.1 Introduction 324
16.2 Genetics Primer 324
16.2.1 Basic Terminology: Genes Alleles Loci and Polymorphism 324
16.2.2 Population Genetics: Allele and Genotype Frequencies 326
16.2.3 Quantitative Genetics and Complex Traits 327
16.3 Pharmacogenetics 328
16.3.1 Pharmacogenetics of Drug-Metabolizing Enzymes 330
16.3.2 Pharmacogenetics of Drug Transporters 333
16.4 Genetics and Pharmacodynamics 334
16.4.1 Drug Target Pharmacogenetics 334
16.5 Summary 335
Reference 335
Suggested Readings 335
17 Models Used to Predict Drug–Drug Interactions for Orally Administered Drugs 337
Sara E. Rosenbaum
17.1 Introduction 338
17.2 Mathematical Models for Inhibitors and Inducers of Drug Metabolism Based on In Vitro Data 340
17.2.1 Reversible Inhibition 340
17.2.2 Time-Dependent Inhibition 341
17.2.3 Induction 345
17.3 Surrogate In Vivo Values for the Unbound Concentration of the Perpetrator at the Site of Action 345
17.3.1 Surrogate Measures of Hepatic Inhibitor and Inducer Concentrations 346
17.3.2 Surrogate Measures of Intestinal Inhibitor and Inducer Concentrations 346
17.4 Models Used to Predict DDIs In Vivo 347
17.4.1 Introduction 347
17.4.2 Basic Predictive Models: R Values 348
17.4.3 Predictive Models Incorporating Parallel Pathways of Elimination (fm) 350
17.4.4 Models Incorporating Intestinal Extraction 354
17.4.5 Models Combining Multiple Actions of Perpetrators 358
17.5 Predictive Models for Transporter-Based DDIs 359
17.5.1 Kinetics of Drug Transporters 359
17.6 Application of Physiologically Based Pharmacokinetic Models to DDI Prediction: The Dynamic Approach 362
17.7 Conclusion 362
Problems 363
References 364
18 Introduction to Physiologically Based Pharmacokinetic Modeling 367
Sara E. Rosenbaum
18.1 Introduction 368
18.2 Components of PBPK Models 369
18.3 Equations for PBPK Models 369
18.4 Building a PBPK Model 373
18.5 Simulations 377
18.6 Estimation of Human Drug-Specific Parameters 378
18.6.1 Tissue Plasma Partition Coefficient 379
18.6.2 Volume of Distribution 379
18.6.3 Clearance 380
18.7 More Detailed PBPK Models 381
18.7.1 Permeability-Limited Distribution 381
18.7.2 Drug Transporters 383
18.7.3 Models for Oral Absorption 386
18.7.4 Reduced Models 387
18.8 Application of PBPK Models 387
References 388
19 Introduction to Pharmacodynamic Models and Integrated Pharmacokinetic–Pharmacodynamic Models 391
Drs. Diane Mould and Paul Hutson
19.1 Introduction 392
19.2 Classic Pharmacodynamic Models Based on Receptor Theory 393
19.2.1 Receptor Binding 394
19.2.2 Concentration-Response Models 395
19.3 Direct Effect Pharmacodynamic Models 402
19.3.1 Emax and Sigmoidal Emax Models 402
19.3.2 Inhibitory Imax and Sigmoidal Imax Models 404
19.3.3 Linear Adaptations of the Emax and Imax Model 404
19.4 Integrated PK–PD Models: Intravenous Bolus Injection in the One-Compartment Model and the Sigmoidal Emax Model 406
19.4.1 Simulation Exercise 409
19.5 Pharmacodynamic Drug–Drug Interactions 410
19.5.1 Simulation Exercise 410
Problems 411
References 412
20 Semimechanistic Pharmacokinetic–Pharmacodynamic Models 413
Drs. Diane Mould and Paul Hutson
20.1 Introduction 414
20.2 Hysteresis and the Effect Compartment 416
20.2.1 Simulation Exercise 419
20.3 Physiological Turnover Models and Their Characteristics 419
20.3.1 Points of Drug Action 421
20.3.2 System Recovery After Change in Baseline Value 421
20.4 Indirect Effect Models 422
20.4.1 Introduction 422
20.4.2 Characteristics of Indirect Effect Drug Responses 424
20.4.3 Characteristics of Indirect Effect Models Illustrated Using Model I 426
20.5 Other Indirect Effect Models 432
20.5.1 Transit Compartment Models 435
20.5.2 Model for Hematological Toxicity of Anticancer Drugs 439
20.5.3 Alternate Parameterizations of Transit Models 442
20.6 Models of Tolerance 442
20.6.1 Introduction to Pharmacologic Tolerance 442
20.6.2 Counter-Regulatory Force Tolerance Model 444
20.6.3 Precursor Pool Model of Tolerance 447
20.7 Irreversible Drug Effects 450
20.7.1 Application of the Turnover Model to Irreversible Drug Action 450
20.8 Disease Progression Models 452
20.8.1 Drug Pharmacokinetics 452
20.8.2 Pharmacodynamics 452
20.8.3 Disease Activity Models 453
20.8.4 Disease Progression Models 453
Problems 459
References 465
Appendix A Review of Exponents and Logarithms 469
Sara E. Rosenbaum
A.1 Exponents 469
A.2 Logarithms: Log and Ln 470
A.3 Performing Calculations in the Logarithmic Domain 471
A.3.1 Multiplication 471
A.3.2 Division 472
A.3.3 Reciprocals 472
A.3.4 Exponents 472
A.4 Calculations Using Exponential Expressions and Logarithms 472
A.5 Decay Function: e−kt 474
A.6 Growth Function: 1 − e−kt 475
A.7 Decay Function in Pharmacokinetics 475
Problems 476
Appendix B Rates of Processes 479
Sara E. Rosenbaum
B.1 Introduction 479
B.2 Order of a Rate Process 480
B.3 Zero-Order Processes 480
B.3.1 Equation for Zero-Order Filling 480
B.3.2 Equation for Zero-Order Emptying 481
B.3.3 Time for Zero-Order Emptying to Go to 50% Completion 481
B.4 First-Order Processes 482
B.4.1 Equation for a First-Order Process 482
B.4.2 Time for 50% Completion: the Half-Life 483
B.5 Comparison of Zero- and First-Order Processes 484
B.6 Detailed Example of First-Order Decay in Pharmacokinetics 484
B.6.1 Equations and Semilogarithmic Plots 484
B.6.2 Half-Life 485
B.6.3 Fraction or Percent Completion of a First-Order Process Using First-Order Elimination as an Example 485
B.7 Examples of the Application of First-Order Kinetics to Pharmacokinetics 487
Appendix C Creation of Excel Worksheets for Pharmacokinetic Analysis 489
Sara E. Rosenbaum
C.1 Measurement of AUC and Clearance 489
C.1.1 Trapezoidal Rule 490
C.1.2 Excel Spreadsheet to Determine AUC0→∞ and Clearance 491
C.2 Analysis of Data from an Intravenous Bolus Injection in a One-Compartment Model 494
C.3 Analysis of Data from an Intravenous Bolus Injection in a Two-Compartment Model 496
C.4 Analysis of Oral Data in a One-Compartment Model 498
C.5 Noncompartmental Analysis of Oral Data 501
Appendix D Derivation of Equations for Multiple Intravenous Bolus Injections 505
Sara E. Rosenbaum
D.1 Assumptions 505
D.2 Basic Equation for Plasma Concentration After Multiple Intravenous Bolus Injections 505
D.3 Steady-State Equations 508
Appendix E Enzyme Kinetics: Michaelis–Menten Equation and Models for Inhibitors and Inducers of Drug Metabolism 509
Sara E. Rosenbaum and Roberta S. King
E.1 Kinetics of Drug Metabolism: The Michaelis–Menten Model 510
E.1.1 Overview 510
E.1.2 Assumptions for Validity of Michaelis–Menten Model 510
E.1.3 Km and Vmax 511
E.1.4 Derivation of the Michaelis–Menten Equation 511
E.1.5 Summary, Practical Considerations, and Interpretations 513
E.1.6 Relationship Between Intrinsic Clearance and the Michaelis–Menten Parameters 514
E.2 Effect of Perpetrators of DDI on Enzyme Kinetics and Intrinsic Clearance 515
E.2.1 Reversible Inhibition 515
E.2.2 Time-Dependent Inhibition 518
E.2.3 Enzyme Induction 524
References 526
Appendix F Summary of the Properties of the Fictitious Drugs Used in the Text 527
Sara E. Rosenbaum
Appendix G Computer Simulation Models 529
Sara E. Rosenbaum
Glossary of Terms 531
Index 537
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