Interspecies allometric scaling: prediction of clearance in large animal species: part II: mathematical considerations

Interspecies scaling is a useful tool for the prediction of pharmacokinetic parameters from animals to humans, and it is often used for estimating a first-time in human dose. However, it is important to appreciate the mathematical underpinnings of this scaling procedure when using it to predict pharmacokinetic parameter values across animal species. When cautiously applied, allometry can be a tool for estimating clearance in veterinary species for the purpose of dosage selection. It is particularly valuable during the selection of dosages in large zoo animal species, such as elephants, large cats and camels, for which pharmacokinetic data are scant. In Part I, allometric predictions of clearance in large animal species were found to pose substantially greater risks of inaccuracies when compared with that observed for humans. In this report, we examine the factors influencing the accuracy of our clearance estimates from the perspective of the relationship between prediction error and such variables as the distribution of body weight values used in the regression analysis, the influence of a particular observation on the clearance estimate, and the 'goodness of fit' (R(2)) of the regression line. Ultimately, these considerations are used to generate recommendations regarding the data to be included in the allometric prediction of clearance in large animal species.     

Interspecies allometric meta‐analysis of the comparative pharmacokinetics of 85 drugs across veterinary and laboratory animal species

Allometric scaling is widely used for the determination of first dosage regimen and the interpolation or extrapolation of pharmacokinetic parameters across many animal species during drug development. In this article, 85 drugs used in veterinary medicine obtained from the Food Animal Residue Avoidance Databank database were selected for allometric scaling analysis. Outlier species were identified by statistical methods. The results showed that 77% and 88% of drugs displayed significant correlations between total systemic clearance (CL) and volume of distribution at steady status (Vss) vs. body weight (P < 0.05) on a log‐log scale, respectively. The distribution of the allometric exponent b for CL and Vss displays approximate normal distribution, with means (0.87 and 0.99) and standard deviations (0.143 and 0.157) for CL and Vss, respectively. Twelve drugs were identified to have at least one outlier species for CL and ten drugs for Vss. The human CL and Vss were predicted for selected drugs by the obtained allometric equations. The predicted CL and Vss were within a threefold error compared to observed values, except the predicted CL values for antipyrine, warfarin and diazepam. The results can be used to estimate cross‐species pharmacokinetic profiles for predicting drug dosages in veterinary species, and to identify those species for which interpolation or extrapolation of pharmacokinetics properties may be problematic.     

Interspecies allometric analysis of the comparative pharmacokinetics of 44 drugs across veterinary and laboratory animal species

The purpose of this study was to apply the method of allometric analysis to a study of the comparative disposition of veterinary drugs using the Food Animal Residue Avoidance Databank (FARAD) as a source of the comparative pharmacokinetic data. An initial filtration of the FARAD data was performed in order to exclude drugs for which no pharmacokinetic data were available, in at least four species the route of administration was other than intravenous, and the matrix was different from blood, plasma or serum. This process restricted the study to a total of 44 candidate drugs. The primary pharmacokinetic parameter selected for study was half-life (t_1/2). As this parameter is a composite of clearance (Cl) and volume of distribution (Vd), it was considered to be the most robust for interspecies scaling. Volume of distribution at steady state (Vd_ss) and clearance showed weak allometric correlations with weight across species. The relationships between body weight and elimination half-life (t_1/2β) were determined for this selected group of drugs by using the empirically determined function Y=a W^b. The function Y represents the parameter of concern (half-life), a is a coefficient typical of every drug (intercept), W is the species average body weight, and b is the scaling exponent. A total of 11 drugs (tetracycline, oxytetracycline, chlortetracycline, erythromycin, diazepam, prednisolone, cephapirin, ampicillin, gentamicin, apramycin and carbenicillin) showed statistically significant correlations and consequently are excellent candidates for interspecies extrapolation of pharmacokinetic parameters (half-life) in species of relevance to veterinary medicine. The remaining 33 drugs were divided into two groups which showed various degrees of lack of correlation. Many of the drugs that showed no allometric correlation were low hepatic extraction drugs. However, some other drugs demonstrated equivocal results which could either be due to a true lack of allometric correlation, or be inconclusive due to the lack of quality data or excessive variability due to the multi-laboratory origin of the FARAD data. The results of this study show that interspecies scaling is applicable to certain veterinary drugs. The experimental determination of the coefficients of the allometric equation for relevant pharmacokinetic parameters (clearance and volume of distribution) could be an important tool in estimating dose in species where the drug has never been studied. This could have important consequences in terms of avoiding the use of dose-titration studies in Phase I of drug development, for drugs that are experimentally ‘well behaved’.     

Anatomical and physiological basis for the allometric scaling of cisplatin clearance in dogs

Cisplatin is a platinum‐containing cytotoxic drug indicated for the treatment of solid tumors in veterinary and human patients. Several of the algorithms used to standardize the doses of cytotoxic drugs utilize allometry, or the nonproportional relationships between anatomical and physiological variables, but the underlying basis for these relationships is poorly understood. The objective of this proof of concept study was to determine whether allometric equations explain the relationships between body weight, kidney weight, renal physiology, and clearance of a model, renally cleared anticancer agent in dogs. Postmortem body, kidney, and heart weights were collected from 364 dogs (127 juveniles and 237 adults, including 51 dogs ≥ 8 years of age). Renal physiological and cisplatin pharmacokinetic studies were conducted in ten intact male dogs including two juvenile and eight adult dogs (4–55 kg). Glomerular filtration rate (GFR), effective renal plasma flow, effective renal blood flow, renal cisplatin clearance, and total cisplatin clearance were allometrically related to body weight with powers of 0.75, 0.59, 0.61, 0.71, and 0.70, respectively. The similar values of these diverse mass exponents suggest a common underlying basis for the allometry of kidney size, renal physiology, and renal drug handling.     

Passerine and softbill therapeutics.

Passerines (songbirds) and softbills (toucans and mynahs) are increasingly presented for veterinary care as pet owners and aviculturists recognize that successful medical and surgical treatment can be performed in these often tiny patients. Even with an increasing amount of pharmacokinetic data in birds, the use of extrapolated drug regimens continues to be a common practice for these species. The extrapolation, using allometric scaling from human, mammalian, and avian drugs to passeriformes and softbills, is complicated and limited. In this article, the choice of the therapeutic approach is discussed. Once the choice for a specific drug is made, tables help calculate the dose in milligrams per kilocalorie without using complicated formulas.     

Allometric basis of enrofloxacin scaling in green iguanas

When body size varies greatly, drug disposition can best be described as an allometric function of body weight. Therefore, the allometry of standard metabolic rate (SMR; 3/4 power) and body surface area (BSA; 2/3 power) have been advocated as surrogate markers for the prediction of key pharmacokinetic parameters. The goal of the present study was to examine the allometric basis of pharmacokinetic scaling within a species, green iguanas. Enrofloxacin was administered intravenously to 20 green iguanas (322-3824 g), and noncompartmental analysis was used to calculate standard pharmacokinetic parameters, which were log(10) transformed and regressed against log(10) body weight. The slopes of significant regressions were compared with the values of unity, 3/4, and 2/3. The slope of enrofloxacin total body clearance (Cl) was also compared with the slopes relating SMR and renal Cl of (99m)Tc-diethylenetriamine penta-acetic acid ((99m)DTPA) to body weight in iguanas. Enrofloxacin Cl depended allometrically on body weight with the power of 0.32. The slope of enrofloxacin Cl was significantly less than those of SMR, Cl of (99m)DTPA, and the 2/3 value. Therefore, the relationship between enrofloxacin Cl and body weight does not directly depend on the allometry of BSA, SMR, or renal Cl of (99m)DTPA in iguanas.     

Transdermal drug delivery: basic principles for the veterinarian

The use of topical pharmaceutical formulations is increasingly popular in veterinary medicine. A potential concern is that not all formulations are registered for the intended species, yet current knowledge strongly suggests that simple extrapolation of transdermal drug pharmacokinetics and pharmacodynamics between species, including humans, cannot be done. In this review, an overview is provided of the underlying basic principles determining the movement of topically applied molecules into and through the skin. Various factors that may affect transdermal drug penetration between species, between individuals of a particular species and regional differences in an individual are also discussed. A good understanding of the basic principles of transdermal drug delivery is critical to avoid adverse effects or lack of efficacy when applying topical formulations in veterinary medicine.     

Extrapolation of pharmacological and toxicological data based on metabolic weight

Small animal species require higher doses of drugs and more frequent administrations than larger species. However, when drugs are metabolized to a toxic by-product, the contrary may be true. For many non-carcinogenic products a valid relationship has been found to exist between dose, plasma levels, body size, and response. Extrapolation of pharmacological and toxicological data based on metabolic weight (W body 0.756) seems to be safe within the groups of ruminants and monogastric herbivores as well as from one carnivorous species to another. If great variations are observed in response of some animal species, with no relationship to animal size, it will be unlikely that any prediction can be made for other animal species. If pharmacokinetic equivalence is critical, pharmacokinetic studies should be conducted to ensure that dosage regimens are equivalent in each species. The dosing guidelines suggested on the basis of metabolic weight apply to testing of drugs, consumer products, and environmental contaminants. The approaches suggested in the discussion for a solution to the problem may help expanding possibilities for extrapolation of pharmacological and toxicological data from laboratory animal to those relevant to man and other mammalian species.     

Allometric analysis of ciprofloxacin and enrofloxacin pharmacokinetics across species

The purpose of this study was to examine the allometric analysis of ciprofloxacin and enrofloxacin using pharmacokinetic data from the literature. The pharmacokinetic parameters used were half-life, clearance and volume of distribution. Relationships between body weight and the pharmacokinetic parameter were based on the empirical formula Y = aW(b), where Y is half-life, clearance or volume of distribution, W the body weight and a is an allometric coefficient (intercept) that is constant for a given drug. The exponential term b is a proportionality constant that describes the relationship between the pharmacokinetic parameter of interest and body weight. A total of 21 different species of animals were studied. Results of the allometric analyses indicated similarity between clearance and volume of distribution as they related to body weight for both drugs. Results of the current analyses indicate it is possible to use allometry to predict pharmacokinetic variables of enrofloxacin or ciprofloxacin based on body size of species. This could provide information on appropriate doses of ciprofloxacin and enrofloxacin for all species.     

Sources of uncertainty in pharmacokinetic prediction

Assessment of the hazard associated with residues in food animals must be based on an accurate estimate of the residue levels present in the final food product, as well as animal toxicology studies to determine the potential untoward effects of these residues. Extrapolation of residue levels or toxic effects produced by the administration of a chemical in one species to predict residue levels or toxicology that may be produced by lower doses in the same species or by equivalent or lower doses in another species is associated inextricably with knowledge of the pharmacokinetics of the chemical. There are several factors that may influence the pharmacokinetics of xenobiotics which, if left unconsidered, may introduce uncertainty in the predictions of toxicity following any chemical exposure. Two of these factors are dose level and species differences. Because initial toxicity studies are designed to characterize the type of toxicity and to elucidate target organ effects the use of high doses is the accepted practice. However, because biotransformation and excretion of many chemicals are capacity-limited processes, extrapolation of toxicity to lower doses, without adequate pharmacokinetic information at those lower dose levels may result in overestimation of predicted toxicity. Furthermore, determination of tissue residue levels following administration of doses that saturate these processes may result in an overestimation of residues remaining following lower doses. Finally extrapolation of toxicity results across species may result in an over or underestimation of hazard without adequate information on the pharmacokinetics of the chemical in both species.     

A physiologically based pharmacokinetic model for oxytetracycline residues in sheep

A physiologically based pharmacokinetic model (PBPK) for oxytetracycline (OTC) residues in sheep was developed using previously published data from a combined serum pharmacokinetic and tissue residue study [Craigmill et al. (2000) J. Vet. Pharmacol. Ther.23, 345]. Physiological parameters for organ weights and tissue blood flows were obtained from the literature. The tissue/serum partition coefficients for OTC were estimated from the serum and tissue residue data obtained at slaughter. The model was developed to include all of the tissues for which residue data were available (serum, kidney, liver, fat, muscle and injection site), and all of the remaining tissues were combined into a slowly perfused compartment with low permeability. Total body clearance of OTC calculated in the previous study was used as the starting value for clearance in the PBPK model, with the kidney being the only eliminating organ. The model was built using ACSL (Advanced Continuous Simulation Language) Graphic Modeler, and the model was fit to the serum and tissue data using the ACSL Math/Optimizer software (AEgis Technologies Group, Inc., Huntsville, AL, USA). A sensitivity analysis was also performed to determine which parameters had the greatest effect on the goodness of fit. Numerous strategies were tested to model the injection site, and a model providing a biexponential absorption of the drug from the injection bolus gave the best fit to the experimental data. The model was validated using the clearance parameters calculated from the traditional pharmacokinetic model for each individual animal in the PBPK model. This simple PBPK model well predicted OTC residues in sheep tissues after intramuscular dosing with a long-acting preparation and may find use for other species and other veterinary drugs.     

Comparison of cefepime pharmacokinetics in neonatal foals and adult dogs

The pharmacokinetics of cefepime, a new fourth generation cephalosporin with enhanced antibacterial activity, was examined in neonatal foals and adult dogs. Cefepime was administered intravenously (i.v.) at a dose of 14 mg/kg to five neonatal foals and six adult dogs. Blood samples were collected in both groups of animals and plasma cefepime concentrations measured by reverse-phase high-performance liquid chromatography (HPLC). Cefepime concentrations in both groups of animals were described by a two-compartment pharmacokinetic model with elimination half-lives of 1.65 and 1.09 h for the foal and dog, respectively. We tested whether or not pharmacokinetic parameters for cefepime could be scaled across species using principles of allometry. The parameters of elimination half-life (t(1/2)beta), apparent volume of distribution (VDarea), and systemic clearance (CL) were scaled linearly to body weight on a double logarithmic plot with allometric exponents for body weight of 0.26, 1.08 and 0.72, respectively. This study further determined doses for cefepime, a potentially useful antibiotic for neonatal foals and dogs, from the pharmacokinetic values. An i.v. dose of cefepime estimated from this study for treating sensitive bacteria was 11 mg/kg every 8 h for neonatal foals and 40 mg/kg every 6 h for dogs.     

Mathematical modeling and simulation in animal health – Part II: principles,methods, applications,and value of physiologically based pharmacokinetic modeling in veterinary medicine and food safety assessment

This review provides a tutorial for individuals interested in quantitative veterinary pharmacology and toxicology and offers a basis for establishing guidelines for physiologically based pharmacokinetic (PBPK) model development and application in veterinary medicine. This is important as the application of PBPK modeling in veterinary medicine has evolved over the past two decades. PBPK models can be used to predict drug tissue residues and withdrawal times in food‐producing animals, to estimate chemical concentrations at the site of action and target organ toxicity to aid risk assessment of environmental contaminants and/or drugs in both domestic animals and wildlife, as well as to help design therapeutic regimens for veterinary drugs. This review provides a comprehensive summary of PBPK modeling principles, model development methodology, and the current applications in veterinary medicine, with a focus on predictions of drug tissue residues and withdrawal times in food‐producing animals. The advantages and disadvantages of PBPK modeling compared to other pharmacokinetic modeling approaches (i.e., classical compartmental/noncompartmental modeling, nonlinear mixed‐effects modeling, and interspecies allometric scaling) are further presented. The review finally discusses contemporary challenges and our perspectives on model documentation, evaluation criteria, quality improvement, and offers solutions to increase model acceptance and applications in veterinary pharmacology and toxicology.     

Allometric scaling of orbifloxacin disposition in nine mammal species: a retrospective analysis

The objective of this study was to analyze the relationship between pharmacokinetic parameters and body weight (W) for orbifloxacin using reported pharmacokinetic data. The parameters of interest: clearance (Cl), volume of distribution at steady state (Vss) and elimination half-life were correlated across nine mammal species, including cattle, dog, rat, rabbit, goat, camel, horse, cat and sheep as a function of W using the conventional allometric equation Y = aW(b), where Y is the pharmacokinetic parameter, W is the body weight, a is the allometric coefficient (intercept) and b is the exponent that describes the relationship between the pharmacokinetic parameter and W. Our estimates (Cl=4.40 W(1.03); Vss=1.10W(1.05)) indicated that the increase in these parameters with W approximates a linear power relationship with slopes being very close to one. Overall, the results of this study indicated that it is possible to use allometry to predict pharmacokinetic variables of orbifloxacin based on W of mammal species.     

Current models in pharmacokinetics: Applications in veterinary pharmacology

Major advances in developing models for pharmacokinetic studies have been made in recent years, and different approaches can now be employed. These include the use of (1) compartmental models, (2) non-compartmental models, (3) physiological models, (4) population pharmacokinetic models, and (5) pharmacokinetic-pharmacodynamic models.Each of these approaches has both advantages and disadvantages. The important question of which of these is ideal in veterinary pharmacokinetics has no simple answer. The selection and application of any one approach would depend on a number of factors, such as (1) the purpose of the study, (2) physicochemical properties and actions of drug, (3) specificity and sensitivity of the analytical methodology, (4) species of the animal, and (5) availability of funds.This paper reviews the models available for pharmacokinetic studies and indicates their possible application in veterinary pharmacology.     

Penicillins and beta-lactamase inhibitor combinations.

beta-Lactamase production by bacteria continues to be one of the main mechanisms of bacterial resistance to beta-lactam antibiotics, and it seems likely to remain so. beta-Lactamase inhibitors provide 1 strategy to overcome this mechanism of bacterial resistance. Although 3 beta-lactamase inhibitor/antibiotic combinations are currently available, only 1 is approved for veterinary use. Because the beta-lactamase inhibitor must be present concurrently with the antibiotic for synergistic activity, it is important to consider the pharmacokinetic profile of these drugs in combination. These combinations were developed and optimized for human patients, so it is unlikely that they would achieve the ideal plasma and tissue concentrations and ratios in veterinary patients. Indeed, several differences in pharmacokinetic variables of beta-lactam antibiotic/beta-lactamase inhibitor agents have been described in dogs, compared with people. Such pharmacokinetic differences should be considered when interpreting in vitro susceptibility results in veterinary species, because these tests use ratios of drug that were established for humans. The beta-lactamase inhibitors represent a successful example of targeted drug development. However, the currently available inhibitors are active primarily against class-A beta-lactamases. Because the frequency with which class-C beta-lactamases are recognized is rapidly increasing in human isolates, and because beta-lactamase enzymes continue to evolve, new beta-lactamase inhibitors will need to be developed to target these enzymes.     

Allometric scaling of marbofloxacin, moxifloxacin, danofloxacin and difloxacin pharmacokinetics: a retrospective analysis

The purpose of this study was to examine the allometric analyses of marbofloxacin, moxifloxacin, danofloxacin and difloxacin using pharmacokinetic data from the literature. The parameters of interest (half-life, clearance and volume of distribution) were correlated across species as a function of body weight using an allometric approach (Y = aWb). Results of the allometric analysis indicated similarity between clearance and volume of distribution as they relate to body weight for all drugs. The elimination half-life was independent of body mass for all fluoroquinolones except moxifloxacin. Results of the analysis suggest that allometric scaling can be used as a tool for predicting pharmacokinetic parameters for fluoroquinolones.     

CAC关于兽药最大残留限量在不同动物间外推的方法及示例

兽药最大残留限量(MRL)在不同动物间的外推最早是通过讨论不同有鳍鱼类间外推而提出的,后来延伸到反刍动物间、非反刍哺乳动物间、禽类间的外推等。2021年国际食品法典兽药残留委员会(CCRVDF)第25届会议讨论了兽药MRL在不同动物间的外推方法,国际食品法典委员会(CAC)第44届会议同意并采纳了这一方法。兽药MRL外推对世界各国尤其是发展中国家建立本国限量标准,保护公共健康和促进贸易有着十分重要的意义。本文就CAC关于兽药MRL在不同动物间外推的术语定义、方法和示例、限量标注等内容进行介绍,以期推动我国兽药MRL的科学制定。     

Discussion of the Compendium of Veterinary Standard Precautions: preventing zoonotic disease transmission in veterinary personnel

Veterinary practices are unique environments that bring humans into close contact with many different species of animals; therefore, the risk of exposure to infectious pathogens is inherently different in veterinary medicine than in human medicine. In contrast to the risk of exposure to blood in human medicine, infections from zoonotic diseases in veterinary personnel are primarily related to exposure to animal faeces, infected skin, wounds, droplets and puncture wounds. Infection-control measures in veterinary practices are often insufficient to prevent zoonotic disease transmission. The Veterinary Standard Precautions (VSP) Compendium is designed to help prevent transmission of zoonotic pathogens from animal patients to veterinary personnel in private practice.     

Use of Body Surface Area to Calculate Chemotherapeutic Drug Dose in Dogs: II. Limitations Imposed by Pharmacokinetic Factors

Anticancer drug dosages that specify the maximum dose and minimum dosing interval that are tolerated in a population of dogs are commonly recommended. Because the differences between the effective and toxic doses of most cancer chemotherapeutics is slight, it is important to achieve therapeutic concentrations in tumor tissues at the same time that concentrations in nontarget tissues are minimized. In order to determine the dosage regimen that will most likely accomplish these goals, similar drug concentrations must be achieved in all patients dosed according to a specific regimen. Dosing based on body surface area (BSA) is generally used in an effort to normalize drug concentrations. This is because it is well recognized that measures of many physiologic parameters that are responsible for drug disposition, including renal function and energy expenditure, can be normalized by use of BSA. However, there is substantial evidence that drug disposition is not always proportional to BSA. Differences in distribution, metabolism, and excretion pathways may preclude dose extrapolation among species or among individuals within a species based on BSA. Moreover, genetic differences in drug metabolism are well recognized in humans and in laboratory animals, and it is likely that similar differences exist among breeds of dogs. A review of the pharmacokinetic disposition of several cancer chemotherapeutics suggests that studies are needed to determine the most effective method to achieve equivalent anticancer drug concentrations in diverse veterinary patients.