Abstract
A discussion of the bases of physiological pharmacokinetics is followed by a brief review of the fundamental mass balance equations of the models. Some examples are outlined, together with a listing of published reviews which give many more references and detailed examples. Finally, some thoughts on future research directions are presented.
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Literature
Adolph, E. F. 1949. “Quantitative Relations in the Physiological Constitutions of Mammals.” Science109, 579–585.
Bellman, R., R. Kalaba and J. A. Jacquez. 1960. “Some Mathematical Aspects of Chemotherapy.”Bull. math. Biophys. 22, 181–190.
Bischoff, K. B. 1967. “Applications of a Mathematical Model for Drug Distribution in Mammals.” InChemical Engineering in Medicine and Biology, D. Hershey (Ed.). New York: Plenum Press.
— 1975. “Some Fundamental Considerations in the Application of Pharmacokinetics to Cancer Chemotherapy.”Cancer Chemother. Rep., Part 1 59, 777–793.
— and R. G. Brown. 1966 “Drug Distribution in Mammals.”Chem. Engng Progr. Symp. Ser. 66, 33–45.
— and R. L. Dedrick. 1968. “Thiopental Pharmacokinetics.”J. pharmac. Sci. 57, 1346–1351.
——, D. S. Zaharko and J. A. Longstreth. 1971. “Methotrexate Pharmacokinetics.”J. pharmac. Sci. 60, 1128–1133.
Chen, H.-S. G. and J. F. Gross. 1979. “Physiologically Based Pharmacokinetic Models for Anticancer Drugs.”Cancer Chemother. Pharmac. 2, 85–94.
Dedrick, R. L. 1973. “Animal Scale-up.”J. Pharmacokinet. Biopharmac. 1, 435–461.
— and K. B. Bischoff. 1980. “Species Similarities in Pharmacokinetics.”Fedn Proc. 39, 54–59.
—, D. D. Forrester and D. H. W. Ho. 1972. “In Vitro-In Vivo Correlation of Drug Metabolism-Deamination of 1-β-arabinofuranosylcytosin.”Biochem. Pharmac. 21, 1–16.
Gerlowski, L. E. and R. K. Jain. 1983. “Physiologically Based Pharmacokinetic Modeling: Principles and Applications.”J. pharmac. Sci. 72, 1103–1127.
Gibaldi, M. and D. Perrier. 1982.Pharmacokinetics, 2nd Edn. New York: Dekker.
Gillette, J. R. 1985. “Biological Variation: the Unsolvable Problem in quantitation Extrapolations from Laboratory Animals and other Surrogate Systems to Human Populations.”Banbury Report 19: Risk Quantitation and Regulatory Policy. Cold Spring Harbor Laboratory.
Himmelblau, D. M. and K. B. Bischoff. 1968.Process Analysis and Simulation. New York: Wiley.
Himmelstein, K. J. and R. J. Lutz. 1979. “A Review of the Applications of Physiologically Based Pharmacokinetic Modeling.”J. Pharmacokient. Biopharmac. 7, 127–145.
Jusko, W. J. and M. Gretch. 1976. “Plasma and Tissue Protein Binding of Drugs in Pharmacokinetics.”Drug Metab. Rev. 5, 43–140.
Krasovskii, G. N. 1976. “Extrapolation of Experimental Data from Animals to Man.”Envir. Health. Persp. 13, 51–58.
Lutz, R. J., R. L. Dedrick and D. S. Zaharko. 1980. “Physiological Pharmacokinetics: anin Vivo Approach to Membrane Transport.”Pharmac. Ther. 11, 559–592.
Resigno, A. and G. Segre. 1966.Drug and Tracer Kinetics. Waltham, MA: Blaisdell.
Riggs, D. S. 1970.The Mathematical Approach to Physiological Problems. Cambridge, MA: MIT Press.
Shen, D. and M. Gibaldi. 1974. “Critical Evaluation of Use of Effective Protein Fractions in Developing Pharmacokinetic Models for Drug Distribution.”J. pharmac. Sci. 63, 1698–1703.
Teorell, T. 1937. “Kinetics of Distribution of Substances Administered to the Body.”Archs Int. Pharmacodyn. Ther. 57, 205–240.
Wilkinson, G. R. 1975. “Pharmacokinetics of Drug Disposition: Hemodynamic Considerations.”A. Rev. Pharmac. 15, 11–27.
Williams, R. T. 1974. “Inter-species Variations in the Metabolism of Xenobiotics.”Biochem. Soc. Trans. 2, 359–377.
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Bischoff, K.B. Physiological pharmacokinetics. Bltn Mathcal Biology 48, 309–322 (1986). https://doi.org/10.1007/BF02459684
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DOI: https://doi.org/10.1007/BF02459684