Mean Time Parameters in Pharmacokinetics

SummaryA mean time parameter in pharmacokinetics defines the average time taken for 1 or more kinetic events to occur. Due to the complexity of the subject, a great number of different mean time parameters may be defined. Three of these parameters which appear to be of greatest interest are discussed: mean residence time (MRT), mean transit time (MTT) and mean arrival time (MAT). Formal definitions for these parameters are presented and various methods of evaluating them are described. The concepts of kinetic spaces, of importance in dealing with mean time parameters, are broadly defined. The discussion of the theory behind mean time parameters begins generally with fundamental core relationships, valid for both stochastic and non-stochastic systems, and successively introduces increasing degrees of kinetic specificity, ending with a discussion of mean time parameters of specific pharmacokinetic models. The limitations and assumptions involved in the use of mean time parameters in the various models are highlighted, with examples to clarify the concepts discussed. Area under the moment curve/area under the concentration-time curve (AUMC/AUC), commonly used as a definition for the MRT of drug molecules in the body, should not serve as a definition but should instead be considered as a method of evaluating this parameter.The literature on mean time parameters as they relate to absorption, distribution, elimination, metabolites, dosing times and drug accumulation is discussed. The clinical implications of mean time parameters are also considered, particularly in relation to the prediction, evaluation and interpretation of pharmacokinetic data.

[1]  M. Surks,et al.  Determination of common parameters fo iodothyronine metabolism and distribution in man by noncompartmental analysis. , 1975, The Journal of clinical endocrinology and metabolism.

[2]  K. B. Larson,et al.  The interpretation of mean transit time measurements for multiphase tissue systems. , 1973, Journal of theoretical biology.

[3]  David Mautner Himmelblau,et al.  Process analysis and simulation , 1968 .

[4]  J. Jaffe,et al.  Comparative bioavaiability of four commercial quinidine sulfate tablets. , 1977, Journal of Pharmacy and Science.

[5]  D. Brockmeier In vitro-in vivo correlation, a time scaling problem? Evaluation of mean times. , 1984, Arzneimittel-Forschung.

[6]  W. Colburn,et al.  Evaluation of drug absorption by nonlinear regression, statistical moments, and Loo-Riegelman methods. , 1985, Journal of pharmaceutical sciences.

[7]  M. Weiss,et al.  Moments of physiological transit time distributions and the time course of drug disposition in the body , 1982, Journal of mathematical biology.

[8]  T Nakagawa,et al.  Moment analysis for the separation of mean in vivo disintegration, dissolution, absorption, and disposition time of ampicillin products. , 1982, Journal of Pharmacy and Science.

[9]  A. Rescigno On transfer times in tracer experiments. , 1973, Journal of theoretical biology.

[10]  G. Tucker,et al.  Pharmacokinetics : theory and methodology , 1986 .

[11]  S L Beal,et al.  Population pharmacokinetic data and parameter estimation based on their first two statistical moments. , 1984, Drug metabolism reviews.

[12]  K. Chan A simple integrated method for drug and derived metabolite kinetics. An application of the statistical moment theory. , 1982, Drug metabolism and disposition: the biological fate of chemicals.

[13]  A. Rescigno,et al.  Drug and tracer kinetics , 1966 .

[14]  H. Sheppeard,et al.  Experience with isoxicam and catabolin. , 1986, British journal of clinical pharmacology.

[15]  M. Rowland,et al.  Absorption kinetics of griseofulvin in man. , 1968, Journal of pharmaceutical sciences.

[16]  L. Benet,et al.  Noncompartmental determination of the steady-state volume of distribution. , 1979, Journal of pharmaceutical sciences.

[17]  J Keilson,et al.  Transfer times across the human body. , 1972, The Bulletin of mathematical biophysics.

[18]  A. Jackson,et al.  Application of moment analysis in assessing rates of absorption for bioequivalency studies. , 1987, Journal of Pharmacy and Science.

[19]  P Veng-Pedersen,et al.  System Approaches in Pharmacokinetics: I. Basic Concepts , 1988, Journal of clinical pharmacology.

[20]  P. Veng‐Pedersen,et al.  Single pass mean residence time in peripheral tissues: a distribution parameter intrinsic to the tissue affinity of a drug. , 1986, Journal of pharmaceutical sciences.

[21]  F. Plum Handbook of Physiology. , 1960 .

[22]  P. Veng‐Pedersen,et al.  The mean residence time of drugs in the systemic circulation. , 1985, Journal of pharmaceutical sciences.

[23]  M. Bialer,et al.  The relationship between drug input and mean residence time in the body. , 1986, Biopharmaceutics & drug disposition.

[24]  J. Keilson,et al.  A circulatory model for human metabolism. , 1978, Journal of theoretical biology.

[25]  P. Samuel,et al.  Input‐Output Analysis for Total Input Rate and Total Traced Mass of Body Cholesterol in Man , 1969, Circulation research.

[26]  J. Wagner Dosage intervals based on mean residence times. , 1987, Journal of pharmaceutical sciences.

[27]  A. Gouyette Pharmacokinetics: statistical moment calculations. , 1983, Arzneimittel-Forschung.

[28]  L. Aarons Mean residence time for drugs subject to reversible metabolism , 1987, The Journal of pharmacy and pharmacology.

[29]  M. Gibaldi,et al.  Comparison of statistical moment parameters to Cmax and tmax for detecting differences in in vivo dissolution rates. , 1985, Journal of pharmaceutical sciences.

[30]  E. Leonard,et al.  A Proof of the Occupancy Principle and the Mean-Transit-Time Theorem for Compartmental Models. , 1984, Mathematical biosciences.

[31]  M. Weiss Metabolite residence time: influence of the first-pass effect. , 1986, British journal of clinical pharmacology.

[32]  Y. Tanigawara,et al.  NEW METHOD FOR THE EVALUATION OF IN VITRO DISSOLUTION TIME AND DISINTEGRATION TIME , 1982 .

[33]  J. Hearon Residence times in compartmental systems and the moments of a certain distribution , 1972 .

[34]  J. Eisenfeld On mean residence times in compartments , 1981 .

[35]  H. Hirayama,et al.  Interpretation and estimates of mean residence time with statistical moment theory. , 1987, Biopharmaceutics & drug disposition.

[36]  P. Welling,et al.  Pharmacokinetics of intravenous erythromycin. , 1978, Journal of pharmaceutical sciences.

[37]  D. Cutler Definition of mean residence times in pharmacokinetics. , 1987, Biopharmaceutics & drug disposition.

[38]  A Rescigno,et al.  Estimation of average times of residence, recycle and interconversion of blood-borne compounds using tracer methods. , 1973, The Journal of clinical endocrinology and metabolism.

[39]  P. Pentikäinen,et al.  Association between clinical cardiac status, laboratory parameters, and digoxin usage. , 1976, American heart journal.

[40]  D. Brockmeier,et al.  Mean residence time. , 1986, Methods and findings in experimental and clinical pharmacology.

[41]  General treatment of linear pharmacokinetics. , 1978, Journal of pharmaceutical sciences.

[42]  D. Furst,et al.  Pharmacokinetics of low-dose methotrexate in rheumatoid arthritis patients. , 1989, Journal of pharmaceutical sciences.

[43]  D. Cutler,et al.  Theory of the mean absorption time, an adjunct to conventional bioavailability studies , 1978, The Journal of pharmacy and pharmacology.

[44]  J. Wagner,et al.  Per cent absorbed time plots derived from blood level and/or urinary excretion data. , 1963, Journal of pharmaceutical sciences.

[45]  P. Veng‐Pedersen,et al.  A method for evaluating the mean residence times of metabolites in the body, systemic circulation, and the peripheral tissue not requiring separate i.v. administration of metabolite. , 1987, Biopharmaceutics & drug disposition.

[46]  P. Veng‐Pedersen A simple method for obtaining the mean residence time of metabolites in the body. , 1986, Journal of pharmaceutical sciences.

[47]  A note on the rôle of generalized inverse Gaussian distributions of circulatory transit times in pharmacokinetics , 1984, Journal of mathematical biology.

[48]  N. Lassen,et al.  Tracer kinetic methods in medical physiology , 1979 .

[49]  S. Riegelman,et al.  New method for calculating the intrinsic absorption rate of drugs. , 1968, Journal of pharmaceutical sciences.

[50]  J. Hearon Residence times in compartmental systems with and without inputs , 1981 .

[51]  M. Pfeffer Estimation of mean residence time from data obtained when multiple-dosing steady state has been reached. , 1984, Journal of pharmaceutical sciences.

[52]  P. Veng‐Pedersen System Approaches in Pharmacokinetics: II. Applications , 1988, Journal of clinical pharmacology.