To scale or not to scale: the principles of dose extrapolation

The principles of inter‐species dose extrapolation are poorly understood and applied. We provide an overview of the principles underlying dose scaling for size and dose adjustment for size‐independent differences. Scaling of a dose is required in three main situations: the anticipation of first‐in‐human doses for clinical trials, dose extrapolation in veterinary practice and dose extrapolation for experimental purposes. Each of these situations is discussed. Allometric scaling of drug doses is commonly used for practical reasons, but can be more accurate when one takes into account species differences in pharmacokinetic parameters (clearance, volume of distribution). Simple scaling of drug doses can be misleading for some drugs; correction for protein binding, physicochemical properties of the drug or species differences in physiological time can improve scaling. However, differences in drug transport and metabolism, and in the dose–response relationship, can override the effect of size alone. For this reason, a range of modelling approaches have been developed, which combine in silico simulations with data obtained in vitro and/or in vivo. Drugs that are unlikely to be amenable to simple allometric scaling of their clearance or dose include drugs that are highly protein‐bound, drugs that undergo extensive metabolism and active transport, drugs that undergo significant biliary excretion (MW > 500, ampiphilic, conjugated), drugs whose targets are subject to inter‐species differences in expression, affinity and distribution and drugs that undergo extensive renal secretion. In addition to inter‐species dose extrapolation, we provide an overview of dose extrapolation within species, discussing drug dosing in paediatrics and in the elderly.

[1]  P. Haley Species differences in the structure and function of the immune system. , 2003, Toxicology.

[2]  Dennis Randall Ownby The Whole Body , 1995 .

[3]  J. Kirkwood Influence of body size in animals on health and disease , 1983, The Veterinary Record.

[4]  K. Schmidt-Nielsen,et al.  Scaling, why is animal size so important? , 1984 .

[5]  W. Calder Size, Function, and Life History , 1988 .

[6]  W. Calder,et al.  Scaling of physiological processes in homeothermic animals. , 1981, Annual review of physiology.

[7]  Yoshitaka Yano,et al.  Prediction of human clearance from animal data and molecular structural parameters using multivariate regression analysis. , 2002, Journal of pharmaceutical sciences.

[8]  V. As Extrapolation of pharmacological and toxicological data based on metabolic weight. , 1989 .

[9]  S. Lindstedt,et al.  Use of allometry in predicting anatomical and physiological parameters of mammals , 2002, Laboratory animals.

[10]  Sheila Annie Peters,et al.  Evaluation of a Generic Physiologically Based Pharmacokinetic Model for Lineshape Analysis , 2008, Clinical pharmacokinetics.

[11]  Sheila Annie Peters,et al.  Early identification of drug-induced impairment of gastric emptying through physiologically based pharmacokinetic (PBPK) simulation of plasma concentration-time profiles in rat , 2008, Journal of Pharmacokinetics and Pharmacodynamics.

[12]  D. Baccanari,et al.  Dihydropyrimidine dehydrogenase inactivation and 5-fluorouracil pharmacokinetics: allometric scaling of animal data, pharmacokinetics and toxicodynamics of 5-fluorouracil in humans , 1996, Cancer Chemotherapy and Pharmacology.

[13]  P. Toutain,et al.  Pharmacokinetic/pharmacodynamic integration in drug development and dosage-regimen optimization for veterinary medicine , 2008, AAPS PharmSci.

[14]  M. Müller,et al.  Molecular aspects of hepatobiliary transport. , 1997, The American journal of physiology.

[15]  Huadong Tang,et al.  A NOVEL MODEL FOR PREDICTION OF HUMAN DRUG CLEARANCE BY ALLOMETRIC SCALING , 2005, Drug Metabolism and Disposition.

[16]  P L Bonate,et al.  Prospective Allometric Scaling: Does the Emperor Have Clothes? , 2000, Journal of clinical pharmacology.

[17]  C. Sigmund,et al.  Species-specific differences in positive and negative regulatory elements in the renin gene enhancer. , 1999, Circulation research.

[18]  B. Blackwell For the first time in man , 1972, Clinical pharmacology and therapeutics.

[19]  Walter Schmitt,et al.  Development of a Physiology-Based Whole-Body Population Model for Assessing the Influence of Individual Variability on the Pharmacokinetics of Drugs , 2007, Journal of Pharmacokinetics and Pharmacodynamics.

[20]  P. Bonate,et al.  Critique of Prospective Allometric Scaling: Does the Emperor Have Clothes? , 2000, Journal of clinical pharmacology.

[21]  Dale Hattis,et al.  Physiologically Based Pharmacokinetic (PBPK) Modeling of Caffeine and Theophylline in Neonates and Adults: Implications for Assessing Children's Risks from Environmental Agents , 2004, Journal of toxicology and environmental health. Part A.

[22]  Trevor N Johnson,et al.  The development of drug metabolising enzymes and their influence on the susceptibility to adverse drug reactions in children. , 2003, Toxicology.

[23]  Harold Boxenbaum,et al.  Interspecies scaling, allometry, physiological time, and the ground plan of pharmacokinetics , 1982, Journal of Pharmacokinetics and Biopharmaceutics.

[24]  I Mahmood,et al.  Interspecies scaling: predicting pharmacokinetic parameters of antiepileptic drugs in humans from animals with special emphasis on clearance. , 1996, Journal of pharmaceutical sciences.

[25]  James H. Brown,et al.  Toward a metabolic theory of ecology , 2004 .

[26]  B. Meibohm,et al.  Pharmacokinetic aspects of biotechnology products. , 2004, Journal of pharmaceutical sciences.

[27]  P. Puigserver,et al.  Resveratrol improves health and survival of mice on a high-calorie diet , 2006, Nature.

[28]  Patrick Poulin,et al.  Prediction of pharmacokinetics prior to in vivo studies. II. Generic physiologically based pharmacokinetic models of drug disposition. , 2002, Journal of pharmaceutical sciences.

[29]  Walter Schmitt,et al.  Whole body physiologically-based pharmacokinetic models: their use in clinical drug development , 2008, Expert opinion on drug metabolism & toxicology.

[30]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[31]  James H. Brown,et al.  The origin of allometric scaling laws in biology from genomes to ecosystems: towards a quantitative unifying theory of biological structure and organization , 2005, Journal of Experimental Biology.

[32]  C. Hunt,et al.  Effect of age and gender on the activity of human hepatic CYP3A. , 1992, Biochemical pharmacology.

[33]  E. Adolph,et al.  Quantitative Relations in the Physiological Constitutions of Mammals. , 1949, Science.

[34]  L. Stanley,et al.  PXR and CAR: Nuclear Receptors which Play a Pivotal Role in Drug Disposition and Chemical Toxicity , 2006, Drug metabolism reviews.

[35]  Huadong Tang,et al.  A MATHEMATICAL DESCRIPTION OF THE FUNCTIONALITY OF CORRECTION FACTORS USED IN ALLOMETRY FOR PREDICTING HUMAN DRUG CLEARANCE , 2005, Drug Metabolism and Disposition.

[36]  T. Fenchel,et al.  Bioenergetics and Growth , 2022 .

[37]  R. Shah Drug development and use in the elderly: search for the right dose and dosing regimen (Parts I and II). , 2004, British journal of clinical pharmacology.

[38]  N. Hollenberg Implications of species difference for clinical investigation: studies on the renin-angiotensin system. , 2000, Hypertension.

[39]  J. McNeill,et al.  Metoprolol improves cardiac function and modulates cardiac metabolism in the streptozotocin-diabetic rat. , 2008, American journal of physiology. Heart and circulatory physiology.

[40]  T. Brody,et al.  Rates of dissociation of enzyme-ouabain complexes and K 0.5 values in (Na + + K + ) adenosine triphosphatase from different species. , 1972, Biochemical pharmacology.

[41]  Patrick Poulin,et al.  Prediction of pharmacokinetics prior to in vivo studies. 1. Mechanism-based prediction of volume of distribution. , 2002, Journal of pharmaceutical sciences.

[42]  M. Aitken Species differences in pharmacodynamics: Some examples , 1983, Veterinary Research Communications.

[43]  James H. Brown,et al.  A General Model for the Origin of Allometric Scaling Laws in Biology , 1997, Science.

[44]  R. Sarangapani,et al.  On the anticipation of the human dose in first-in-man trials from preclinical and prior clinical information in early drug development , 2007, Xenobiotica; the fate of foreign compounds in biological systems.

[45]  Xiaochun Lou,et al.  Allometric Pharmacokinetic Scaling: Towards the Prediction of Human Oral Pharmacokinetics , 2000, Pharmaceutical Research.

[46]  J H Lin,et al.  Applications and limitations of interspecies scaling and in vitro extrapolation in pharmacokinetics. , 1998, Drug metabolism and disposition: the biological fate of chemicals.

[47]  B. Burchell,et al.  The Uridine Diphosphate Glucuronosyltransferase Multigene Family: Function and Regulation , 1994 .

[48]  Paul S Price,et al.  Modeling Interindividual Variation in Physiological Factors Used in PBPK Models of Humans , 2003, Critical reviews in toxicology.

[49]  B. Crozatier,et al.  Species differences in myocardial beta-adrenergic receptor regulation in response to hyperthyroidism. , 1991, Circulation research.

[50]  M. Kleiber Body size and metabolism , 1932 .

[51]  P. Puigserver,et al.  Resveratrol Improves Mitochondrial Function and Protects against Metabolic Disease by Activating SIRT1 and PGC-1α , 2006, Cell.

[52]  D A Smith,et al.  Pharmacokinetics and toxicity testing. , 1984, Critical reviews in toxicology.

[53]  H. Kusuhara,et al.  Species Difference in the Inhibitory Effect of Nonsteroidal Anti-Inflammatory Drugs on the Uptake of Methotrexate by Human Kidney Slices , 2007, Journal of Pharmacology and Experimental Therapeutics.

[54]  Y. Sugiyama,et al.  Species differences in the transport activity for organic anions across the bile canalicular membrane. , 1999, The Journal of pharmacology and experimental therapeutics.

[55]  M. Mączewski,et al.  Effect of Metoprolol and Ivabradine on Left Ventricular Remodelling and Ca 21 Handling in the Post-infarction Rat Heart , 2022 .

[56]  K. Bischoff,et al.  Interspecies correlation of plasma concentration history of methotrexate (NSC-740). , 1970, Cancer chemotherapy reports.

[57]  Betty C. Hakkert,et al.  Data-base derived values for the interspecies extrapolation : a quantitative analysis of historical toxicity data , 2001 .

[58]  Paul S Agutter,et al.  Metabolic scaling: consensus or controversy? , 2004, Theoretical Biology and Medical Modelling.

[59]  Walter Schmitt,et al.  Whole body physiologically-based pharmacokinetic models: their use in clinical drug development , 2008 .

[60]  F. Guengerich Cytochrome p450 and chemical toxicology. , 2008, Chemical research in toxicology.

[61]  D. Smith Pharmacokinetics and pharmacodynamics in toxicology. , 1997, Xenobiotica; the fate of foreign compounds in biological systems.

[62]  S. Björkman Prediction of Cytochrome P450-Mediated Hepatic Drug Clearance in Neonates, Infants and Children , 2012, Clinical pharmacokinetics.

[63]  Sven Björkman,et al.  Prediction of drug disposition in infants and children by means of physiologically based pharmacokinetic (PBPK) modelling: theophylline and midazolam as model drugs. , 2005, British journal of clinical pharmacology.

[64]  J. Lack,et al.  Calculation of drug dosage and body surface area of children. , 1997, British journal of anaesthesia.

[65]  N. A. Edwards Scaling of renal functions in mammals. , 1975, Comparative biochemistry and physiology. A, Comparative physiology.

[66]  K. Blesch,et al.  Estimating the starting dose for entry into humans: principles and practice , 2002, European Journal of Clinical Pharmacology.

[67]  D W Nebert,et al.  P450 superfamily: update on new sequences, gene mapping, accession numbers and nomenclature. , 1996, Pharmacogenetics.

[68]  D. Beard,et al.  Population-Based Analysis of Methadone Distribution and Metabolism Using an Age-Dependent Physiologically Based Pharmacokinetic Model , 2006, Journal of Pharmacokinetics and Pharmacodynamics.

[69]  Nihal Ahmad,et al.  Dose translation from animal to human studies revisited , 2007, FASEB journal : official publication of the Federation of American Societies for Experimental Biology.

[70]  Davis Le,et al.  Species differences in biotransformation and excretion of salicylate. , 1972 .

[71]  T. Spector,et al.  Glucuronidation of 3'-azido-3'-deoxythymidine: human and rat enzyme specificity. , 1989, Biochemical pharmacology.

[72]  T. Johnson The problems in scaling adult drug doses to children , 2007, Archives of Disease in Childhood.

[73]  S. Sundlof,et al.  Interspecies allometric analysis of the comparative pharmacokinetics of 44 drugs across veterinary and laboratory animal species. , 1997, Journal of veterinary pharmacology and therapeutics.

[74]  S. Cole,et al.  Multidrug resistance proteins: role of P-glycoprotein, MRP1, MRP2, and BCRP (ABCG2) in tissue defense. , 2005, Toxicology and applied pharmacology.

[75]  J. Lingrel,et al.  Structure-function relationships in the sodium-potassium ATPase .alpha. subunit: site-directed mutagenesis of glutamine-111 to arginine and asparagine-122 to aspartic acid generates a ouabain-resistant enzyme , 1988 .

[76]  T. Johnson Modelling approaches to dose estimation in children. , 2005, British journal of clinical pharmacology.

[77]  D. Forsyth,et al.  Testing the metabolic theory of ecology: allometric scaling exponents in mammals. , 2007, Ecology.

[78]  Sheila Annie Peters,et al.  Identification of Intestinal Loss of a Drug through Physiologically Based Pharmacokinetic Simulation of Plasma Concentration-Time Profiles , 2008, Clinical pharmacokinetics.

[79]  Wout Slob,et al.  Deriving a Data-Based Interspecies Assessment Factor Using the NOAEL and the Benchmark Dose Approach , 2007, Critical reviews in toxicology.

[80]  C. Pantin Problems of Relative Growth , 1932, Nature.

[81]  Susan M Abdel-Rahman,et al.  Developmental pharmacology--drug disposition, action, and therapy in infants and children. , 2003, The New England journal of medicine.

[82]  I. Mahmood Application of allometric principles for the prediction of pharmacokinetics in human and veterinary drug development. , 2007, Advanced drug delivery reviews.

[83]  A. Hill Dimensions of Animals and their Muscular Dynamics , 1949, Nature.

[84]  L. E. Davis,et al.  Species differences in biotransformation and excretion of salicylate. , 1972, American journal of veterinary research.

[85]  Amin Rostami-Hodjegan,et al.  Prediction of the Clearance of Eleven Drugs and Associated Variability in Neonates, Infants and Children , 2006, Clinical pharmacokinetics.

[86]  R C Chou,et al.  Integration of in vitro data into allometric scaling to predict hepatic metabolic clearance in man: application to 10 extensively metabolized drugs. , 1997, Journal of pharmaceutical sciences.

[87]  Shiew-Mei Huang,et al.  Improving Pediatric Dosing Through Pediatric Initiatives: What We Have Learned , 2008, Pediatrics.

[88]  L. J. West,et al.  Lysergic Acid Diethylamide: Its Effects on a Male Asiatic Elephant. , 1962, Science.

[89]  J. Castle,et al.  Expression profiles of 50 xenobiotic transporter genes in humans and pre-clinical species: A resource for investigations into drug disposition , 2006, Xenobiotica; the fate of foreign compounds in biological systems.

[90]  J. Lingrel,et al.  Structure-function relationships in the Na,K-ATPase alpha subunit: site-directed mutagenesis of glutamine-111 to arginine and asparagine-122 to aspartic acid generates a ouabain-resistant enzyme. , 1988, Biochemistry.