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Mean Residence Time of Oral Drugs Undergoing First-Pass and Linear Reversible Metabolism

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Abstract

Equations for the mean residence times in the body (MRT) and AUMC/AUC of a drug and its metabolite have been derived for an oral drug undergoing first-pass and linear reversible metabolism. The mean residence times of the drug or interconversion metabolite in the body after oral drug are described by equations which include the mean absorption time (MAT), the mean residence times of the drug or metabolite in the body after intravenous administration of the drug, the fractions of the dose entering the systemic circulation as the parent drug and metabolite, and the systemically available fractions of the drug (F p p) or metabolite (F m p). Similarly, the AUMC/AUC of the drug and metabolite after oral drug can be related to the MAT, ratios of the fraction of the dose entering the systemic circulation to the systemically available fraction, the first-time fractional conversion of each compound, and AUMC/AUC ratios after separate intravenous administration of each compound. The F p p and F m p values, in turn, are related to the first-pass availabilities of both drug and metabolite and the first-time fractional conversion fractions. The application of these equations to a dual reversible two-compartment model is illustrated by computer simulations.

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REFERENCES

  1. J. Mann and E. Gurpide. Generalized rates of transfer in open systems of pools in the steady state. J. Clin. Endocrinol. 26:1346–1354 (1966).

    Google Scholar 

  2. J. J. DiStefano. Concepts, properties, measurement, and computation of clearance rates of hormones and other substances in biological systems. Ann. Biomed. Eng. 4:302–319 (1976).

    Google Scholar 

  3. J. H. Oppenheimer and E. Gurpide. Quantitation of the production, distribution, and interconversion of hormones. In L. J. Degroot (ed.), Endocrinology, Vol. 3, Grune and Stratton, New York, 1979, pp. 2029–2036.

    Google Scholar 

  4. J. G. Wagner, A. R. DiSanto, W. R. Gillespie, and K. S. Albert. Reversible metabolism and pharmacokinetics: Application to prednisone and prednisolone. Res. Commun. Chem. Pathol. Pharmacol. 32:387–405 (1981).

    Google Scholar 

  5. S. Hwang, K. C. Kwan, and K. S. Albert. A linear model of reversible metabolism and its application to bioavailability assessment. J. Pharmacokin. Biopharm. 9:693–709 (1981).

    Google Scholar 

  6. S. S. Hwang and W. F. Bayne. General method for assessing bioavailability of drugs undergoing reversible metabolism in a linear system. J. Pharm. Sci. 75:820–821 (1986).

    Google Scholar 

  7. W. F. Ebling and W. J. Jusko. The determination of essential clearance, volume, and residence time parameters of recirculating metabolic systems: The reversible metabolism of methylprednisolone and methylprednisone in rabbits. J. Pharmacokin. Biopharm. 14:558–599 (1986).

    Google Scholar 

  8. L. Aarons. Mean residence time for drugs subject to reversible metabolism. J. Pharm. Pharmacol. 39:565–567 (1987).

    Google Scholar 

  9. H. Cheng and W. J. Jusko. Mean residence times of multicompartmental drugs undergoing reversible metabolism. Pharm. Res. 7:103–107 (1990).

    Google Scholar 

  10. S. Nagamine, T. Otawa, H. Nakae, and S. Asada. Estimation of the rates of available fraction for some 4-substituted acetophenone derivatives in the rats: Reversible drug-metabolite pharmacokinetics. Chem. Pharm. Bull. 36:4612–4618 (1988).

    Google Scholar 

  11. H. Cheng and W. J. Jusko. Constant-rate intravenous infusion methods for estimating steady-state volumes of distribution and mean residence times in the body for drugs undergoing reversible metabolism. Pharm. Res. 7:628–632 (1990).

    Google Scholar 

  12. H. Cheng and W. J. Jusko. Mean interconversion times and distribution rate parameters for drugs undergoing reversible metabolism. Pharm. Res. 7:1003–1010 (1990).

    Google Scholar 

  13. J. Eisenfeld. On mean residence times in compartments. Math. Biosci. 57:265–278 (1981).

    Google Scholar 

  14. D. G. Covell, M. Berman, and C. Delisi. Mean residence time—Theoretical development, experimental determination, and practical use in tracer analysis. Math. Biosci. 72:213–244 (1984).

    Google Scholar 

  15. M. L. Rocci and W. J. Jusko. LAGRAN program for area and moments in pharmacokinetic analysis. Comp. Prog. Biomed. 16:203–216 (1983).

    Google Scholar 

  16. D. J. Cutler. Theory of the mean absorption time, an adjunct to conventional bioavailability studies. J. Pharm. Pharmacol. 30:476–478 (1978).

    Google Scholar 

  17. S. Riegelman and P. Collier. The application of statistical moment theory to the evaluation of in vivo dissolution time and absorption time. J. Pharmacokin. Biopharm. 8:509–534 (1980).

    Google Scholar 

  18. M. Gibaldi and D. Perrier. Pharmacokinetics, 2nd ed., Marcel Dekker, New York, 1980, p. 413.

    Google Scholar 

  19. K. K. H. Chan and M. Gibaldi. Effects of first-pass metabolism on metabolite mean residence time determination after oral administration of parent drug. Pharm. Res. 7:59–63 (1990).

    Google Scholar 

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Cheng, H., Jusko, W.J. Mean Residence Time of Oral Drugs Undergoing First-Pass and Linear Reversible Metabolism. Pharm Res 10, 8–13 (1993). https://doi.org/10.1023/A:1018904509178

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