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              Pharmacokinetics                                                                            819

              setting all L i to zero and recalculating the tissue concen-  The rate of absorption can be characterized from the cal-
              trations and volumes. Thus this type of model is most  culation of t residence for both i.v. administration and non-
              valuable in the investigation of detailed mechanisms of  i.v. administration. The mean absorption time (t absorption )
              absorption, distribution, and elimination in the pharma-  is calculated as the difference of the two mean residence
              cokinetic simulation of a drug.                   times.
                                                                  This method is chiefly descriptive and requires no un-
                                                                derstanding of the underlying mechanisms. It permits
              C. Noncompartmental Model Approaches              quantitative characterization of the kinetics of the drug
              Noncompartmental pharmacokinetics has been developed  in the central compartment. The advantage is that sophis-
              as an alternative to data-intensive compartmental and  ticated mathematics is unnecessary. This fact alone makes
              physiologic models. While the latter techniques are use-  noncompartmental methods particularly useful in the clin-
              ful in pharmacokinetic predictions if sufficient data are  ical use of drugs.
              available, drugs with complex distribution and elimina-
              tion may be difficult to properly model without additional  SEE ALSO THE FOLLOWING ARTICLES
              experimental data. The noncompartmental techniques do
              not rely on specific distribution characteristics of a drug
                                                                ABSORPTION • BIOENERGETICS • ION TRANSPORT
              and therefore become useful when data are limited.
                                                                ACROSSBIOLOGICALMEMBRANES•PHARMACEUTICALS,
                The basis for noncompartmental methods for calcula-
                                                                CONTROLLED RELEASE OF
              tion of the parameters of each step of absorption, dis-
              tribution, and elimination is the theory of statistical mo-
              ments. The information required is the drug concentration  BIBLIOGRAPHY
              in the central compartment versus time with concentra-
              tions taken past the absorptive phase and distributive phase  Aarons, L. (1999). “Software for population pharmacokinetics and phar-
                                                                 macodynamics,” Clin. Pharmacokinet. 36, 255–264.
              of the curve. The area under the concentration versus time
                                                                Bennett, W. M., Aronoff, G. R., Golper, T. A., Morrison, G., Brater,
              curve (AUC) is the zero moment. The first moment of
                                                                 D. C., and Singer, I. (1994). “Drug Prescribing in Renal Failure,” 4th
              the AUC is the area under the curve of the product of the  ed., American College of Physicians, Philadelphia.
              concentration times time versus time (M 1 AUC ):  Berner, B., and John, V. A. (1994). “Pharmacokinetic characteristics of
                                                                 transdermal delivery systems,” Clin. Pharmacokinet. 26, 121–134.
                                     ∞                          Bourget, P., Roulot, C., and Fernandez, H. (1995). “Models for placental

                            M 1  =     (Ct) dt.         (25)
                              AUC                                transfer studies of drugs,” Clin. Pharmacokinet. 28, 161–180.
                                    0
                                                                Bourne, D. W. A. (1997). “Using the Internet as a pharmacokinetic re-
              Themeanresidencetime(t residence )providessomeestimate  source,” Clin. Pharmacokinet. 33, 153–160.
              of how long the drug may last in the central compartment  Bressolle, F., Kinowski, J.-M., Emmanuel de la Coussaye, J., Wynn,
                                                                 N., Eledjam, J.-J., and Galtier, M. (1994). “Clinical pharmacokinetics
              and is analogous to the drug half-life t 1/2 . It is calculated
                                                                 during continuous haemofiltration,” Clin. Pharmacokinet. 26, 457–
              as follows:                                        471.
                                        1
                                      M AUC                     Chernow, B. (1995). “Critical Care Pharmacology,” Williams and
                             t residence =  .           (26)     Wilkins, Baltimore, MD.
                                      AUC                       Crooks, J., O’Malley, K., and Stevenson, I. H. (1976). “Pharmacokinetics
              The clearance of the drug from the central compartment  in the elderly,” Clin. Pharmacokinet. 1, 280–296.
                                                                Flessner, M. F., and Dedrick, R. (1999). “Intraperitoneal chemotherapy,”
              can be calculated by
                                                                 In “The Textbook of Peritoneal Dialysis” (R. Gokal, K. D. Nolph, and
                                     dose                        R. Krediet, eds.), pp. 769–790, Kluwer, Dordrecht.
                               Clr =     .              (27)    Gex-Fabry, M., and Balant, L. P. (1994). “Considerations on data analysis
                                     AUC                         using computer methods and currently available software for personal
              If a drug is infused at a constant rate of I constant and the  computers,” In “Pharmacokinetics of Drugs” (P. G. Welling and L. P.
                                                                 Balant, eds.), pp. 507–527, Springer-Verlag, Berlin.
              concentrationstabilizesatasteadystateC ss ,thentheclear-
                                                                Gibaldi, M. (1991). “Biopharmaceutics and Clinical Pharmacokinetics,”
              ance can also be calculated by                     4th ed., Lea and Febiger, New York.
                                                                Gibaldi, M., and Perrier, D. (1982). “Pharmacokinetics,” 2nd ed., Marcel
                                    I constant
                              Clr =       .             (28)     Dekker, New York.
                                     C ss                       Gibaldi, M., and Prescott, L. (eds.). (1983). “Handbook of Clinical Phar-
                                                                 macokinetics,” Adis Health Science Press, Balgowlah, Australia.
              The apparent steady-state volume of distribution can be
                                                                Gibson, T. P. (1986). “Renal disease and drug metabolism: An overview,”
              calculated from                                    Am. J. Kidney Dis. 8, 7–17.
                                          1
                                iv dose × M AUC                 Guy, R. H., and Maibach, H. L. (1983). “Drug delivery to local subcuta-
                           V ss =            .          (29)     neous structures following topical administration,” J. Pharm. Sci. 72,
                                    AUC 2                        1375.
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