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Comparative Pharmacokinetics Comparative Pharmacokinetics: Principles, Techniques, and Applications, Second Edition. Jim E. Riviere. © 2011 Jim E. Riviere. Published 2011 by John Wiley & Sons, Inc. ISBN: 978-0-813-82993-7 Comparative Pharmacokinetics Principles, Techniques, and Applications Second Edition Jim E. Riviere A John Wiley & Sons, Inc., Publication This edition fi rst published 2011 © 2011 by Jim E. Riviere First edition published 1999 © 1999 Iowa State University Press Blackwell Publishing was acquired by John Wiley & Sons in February 2007. Blackwell’s publishing program has been merged with Wiley’s global Scientifi c, Technical and Medical business to form Wiley-Blackwell. Registered offi ce: John Wiley & Sons, Ltd, The Atrium, Southern Gate, Chichester, West Sussex, PO19 8SQ, UK Editorial offi ces: 2121 State Avenue, Ames, Iowa 50014-8300, USA The Atrium, Southern Gate, Chichester, West Sussex, PO19 8SQ, UK 9600 Garsington Road, Oxford, OX4 2DQ, UK For details of our global editorial offi ces, for customer services and for information about how to apply for permission to reuse the copyright material in this book please see our website at www.wiley.com/ wiley-blackwell. Authorization to photocopy items for internal or personal use, or the internal or personal use of specifi c clients, is granted by Blackwell Publishing, provided that the base fee is paid directly to the Copyright Clearance Center, 222 Rosewood Drive, Danvers, MA 01923. For those organizations that have been granted a photocopy license by CCC, a separate system of payments has been arranged. The fee codes for users of the Transactional Reporting Service are ISBN-13: 978-0-8138-2993-7/2011. Designations used by companies to distinguish their products are often claimed as trademarks. All brand names and product names used in this book are trade names, service marks, trademarks or registered trademarks of their respective owners. The publisher is not associated with any product or vendor mentioned in this book. This publication is designed to provide accurate and authoritative information in regard to the subject matter covered. It is sold on the understanding that the publisher is not engaged in rendering professional services. If professional advice or other expert assistance is required, the services of a competent professional should be sought. Library of Congress Cataloging-in-Publication Data Riviere, Jim E. (Jim Edmond), author. Comparative pharmacokinetics / Jim E. Riviere, North Carolina State University, Raleigh, North Carolina. – 2nd Edition. p. ; cm. Includes bibliographical references and index. ISBN 978-0-8138-2993-7 (pbk. : alk. paper) 1. Pharmacokinetics. 2. Veterinary pharmacology. I. Title. [DNLM: 1. Pharmacokinetics. QV 38] RM301.5.R58 2011 636.089′578–dc22 2010047729 A catalogue record for this book is available from the British Library. Set in 10/12pt Times by Toppan Best-set Premedia Limited Disclaimer The publisher and the author make no representations or warranties with respect to the accuracy or completeness of the contents of this work and specifi cally disclaim all warranties, including without limitation warranties of fi tness for a particular purpose. No warranty may be created or extended by sales or promotional materials. The advice and strategies contained herein may not be suitable for every situation. This work is sold with the understanding that the publisher is not engaged in rendering legal, accounting, or other professional services. If professional assistance is required, the services of a competent professional person should be sought. Neither the publisher nor the author shall be liable for damages arising herefrom. The fact that an organization or Website is referred to in this work as a citation and/or a potential source of further information does not mean that the author or the publisher endorses the information the organization or Website may provide or recommendations it may make. Further, readers should be aware that Internet Websites listed in this work may have changed or disappeared between when this work was written and when it is read. 1 2011 Contents Coauthors vii Preface ix 1 Introduction 3 2 Principles of Drug Movement in the Body 13 3 Quantitative Structure–Permeability Relationships 27 with Xin-Rui Xia 4 Absorption 39 5 Distribution 73 with Jennifer Buur 6 Renal Elimination 91 7 Hepatic Biotransformation and Biliary Excretion 113 with Ronald Baynes 8 Compartmental Models 143 9 Noncompartmental Models 187 10 Nonlinear Models 207 11 Physiological Models 225 with Teresa Leavens 12 Dosage Regimens 241 13 Simultaneous Pharmacokinetic–Pharmacodynamic Modeling 255 with Pierre-Louis Toutain 14 Study Design and Data Analysis 295 with Jason Chittenden v vi Contents 15 Bioequivalence Studies 315 with Marilyn Martinez 16 Population Pharmacokinetic Models 347 with Jason Chittenden 17 Dosage Adjustments in Disease States 379 with Jennifer Davis 18 Interspecies Extrapolations 399 19 Tissue Residues and Withdrawal Times 413 with Sharon Mason Index 425 Coauthors The numbers in parentheses indicate chapters coauthored with Dr. Jim E. Riviere. Ronald Baynes (7) Jennifer Davis (17) Center for Chemical Toxicology Research Department of Clinical Sciences and Pharmacokinetics College of Veterinary Medicine Department of Population Health and North Carolina State University Pathobiology Raleigh, NC, USA College of Veterinary Medicine [email protected] North Carolina State University Raleigh, NC, USA Teresa Leavens (11) [email protected] Center for Chemical Toxicology Research and Pharmacokinetics James Brooks (Illustrator) Department of Population Health and Center for Chemical Toxicology Research Pathobiology and Pharmacokinetics College of Veterinary Medicine Department of Population Health and North Carolina State University Pathobiology Raleigh, NC, USA College of Veterinary Medicine [email protected] North Carolina State University Raleigh, NC, USA Sharon Mason (19) [email protected] Department of Biological Sciences Campbell University Jennifer Buur (5) Buies Creek, NC, USA College of Veterinary Medicine [email protected] Western University of Health Sciences Pomona, CA, USA Marilyn Martinez (15) [email protected] Center for Veterinary Medicine US Food and Drug Administration Jason Chittenden (14 and 16) Rockville, MD, USA Center for Chemical Toxicology Research [email protected] and Pharmacokinetics College of Veterinary Medicine North Carolina State University Raleigh, NC, USA Pharsight, Inc. Cary, NC, USA [email protected] vii viii Coauthors Jim E. Riviere Xin - Rui Xia (3 ) Center for Chemical Toxicology Research Center for Chemical Toxicology Research and Pharmacokinetics and Pharmacokinetics Department of Population Health and Department of Population Health and Pathobiology Pathobiology College of Veterinary Medicine College of Veterinary Medicine North Carolina State University North Carolina State University Raleigh, NC, USA Raleigh, NC, USA [email protected] [email protected] Pierre - Louis Toutain (13) UMR181 Physiopathologie et Toxicologie Exp é rimentales INRA Ecole Nationale V é t é rinaire de Toulouse - 23 Chemin des Capelles – 31076 Toulouse, France [email protected] Preface The second edition of C omparative Pharmacokinetics follows the fi rst edition ’ s goals of providing the conceptual basis of pharmacokinetics as a tool for quantifying biological processes encountered in comparative medicine. The organization of this book remains the same whereby the basic principles of physiol- ogy are introduced for systems involved in the absorption, distribution, metabolism, and elimination (ADME) of chemicals and drugs in the body. This is followed by chapters developing the primary approaches used in pharmacokinetic modeling today, namely com- partmental, noncompartmental, population, and physiological approaches. Chapters on nonlinear processes, dosage regimen construction, and statistical aspects of data analysis are presented, followed by overviews of pharmacokinetic – pharmacodynamic (PK - PD) modeling and specifi c applications on bioequivalence, disease effects, interspecies extra- polations, and drug residues in food - producing animals. As in the fi rst edition, this author has authored or coauthored all chapters for consistency. New additions to this text include extensive revisions of the Distribution chapter coau- thored by Jennifer Buur, the Hepatic Biotransformation chapter by Ronald Baynes, and the Physiological Models chapter by Teresa Leavens. Chapters on Study Design and Population Modeling by Jason Chittenden, Dosage Adjustment in Disease by Jennifer Davis, and Tissue Residues by Sharon Mason have been expanded and revised. Pierre - Louis Toutain comprehensively rewrote the PK - PD chapter as PK - PD modeling has become widespread in comparative medicine. A new chapter on Quantitative Structure – Permeability Relationships coauthored with Xin - Rui Xia has been added to illustrate how molecular properties of chemicals and drugs are correlated to membrane transport, the basis of most pharmacokinetic processes. Also, this chapter introduces basic statistical concepts of regression analysis and study validation that are expounded upon later in the book. Finally, the Bioequivalence chapter by Marilyn Martinez of the U.S. Food and Drug Administration offers a complete regulatory perspective on determining product bioequivalence. This chapter demonstrates many of the pharmacokinetic principles introduced in the earlier chapters and adds in the requirements for statistical rigor needed for a regulatory approval. All the remaining chapters have been revised and updated. In addition, cross - referencing topics across all chapters has been expanded to help the reader to make important concep- tual linkages between theory and applications. This comparative and veterinary pharmacokinetics textbook serves as an introduction to this discipline from the perspectives of physiology and medicine. The wide availability ix x Preface of economic but powerful computers with comprehensive software packages can make pharmacokinetic analysis seem automatic. A primary goal of this book is to ensure that studies are properly designed before being conducted, that the proper models are used for the end points in mind, and that resulting pharmacokinetic parameters are interpreted correctly. Jim E. Riviere 1 Introduction Pharmacokinetics is best defi ned as the use of mathematical models to quantitate the time course of drug absorption and disposition in man and animals. With the tremendous advances in medicine and analytical chemistry, coupled with the almost universal avail- ability of computers, what was once an arcane science has now entered the mainstream of most fi elds of human and veterinary medicine. This discipline has allowed dosages of drugs to be tailored to individuals or groups to optimize therapeutic effectiveness, minimize toxic- ity, and avoid violative tissue residues in the case of food - producing animals. What differentiates this discipline from other fi elds of pharmacology and medicine is its focus on quantitating biological phenomena using various mathematical models and restricting its purview to the movement of drugs and chemicals into, through, and out of the body. The subsequent effects of these drugs on biological processes fall in the realm of pharmacodynamics (PD), which is beyond the scope of the present pharmacokinetic text but is extensively reviewed in Chapter 13 when linkage to pharmacokinetic models is developed. There are numerous applications of pharmacokinetics in clinical practice, some of them unknown to the practitioner as actually being pharmacokinetic modeling exercises since the terminology has become embedded into the lexicon of general medicine. Since the publication of the fi rst comparative pharmacokinetics text by Desmond Baggot in 1 977, there has been explosive growth in all aspects of this discipline. This growth has continued after the publication of the fi rst edition of the present text in 1999 and the release in 2004 of the pivotal UK “ PK and PK - PD in Veterinary Medicine ” workshop (Lees, 2004 ). The continued integration of pharmacokinetic concepts into global veterinary drug regula- tions further fuels this growth, a development that can be appreciated by reading Chapter 15 on regulatory aspects of drug product bioequivalence. The primary pharmacokinetic models originally utilized by comparative and veterinary pharmacokineticists were the classic open compartmental models. These models, fi rst clearly elucidated by Teorell in 1 937, have been the mainstay of pharmacokinetics for much of the last decade. However, the use of noncompartmental models, especially those based on statistical moment analyses, has recently expanded across multiple areas. This popularity can be linked in part to a superb suitability for analysis by digital computers. Paradoxically, many of the properties that make the analysis of serum pharmacokinetic data amenable to exponential equations result from a few mathematical peculiarities in the solution of these compartmental models. Newer noncompartmental approaches to Comparative Pharmacokinetics: Principles, Techniques, and Applications, Second Edition. Jim E. Riviere. © 2011 Jim E. Riviere. Published 2011 by John Wiley & Sons, Inc. ISBN: 978-0-813-82993-7 3

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