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COMPT, a time-sharing program for nonlinear regression analysis of compartmental models of drug distribution

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Abstract

COMPT, a computer program for optimizing the solution of integral compartmental models of drug distribution by nonlinear regression analysis, is written in extended BASIC for use in time-sharing computer systems. It is based on Hartley's modification of the Gauss-Newton gradient method. The characteristics and features of the program are indicated, and the program source listing is presented. This version of COMPT is designed to solve the two-compartment open model of intravenous drug administration. Examples of the results of the operational program are presented. The program is modifiable to permit analytical solutions for other types of systems described by nonlinear equations.

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References

  1. J. G. Wagner.Pharmacokinetics, J. M. Richards Laboratory, Grosse Point Park, Mich., 1969.

    Google Scholar 

  2. H. D. Van Liew. Semilogarithmic plots of data which reflect a continuum of exponential processes.Science 138: 682–683 (1962).

    Article  PubMed  Google Scholar 

  3. S. D. Foss. A method for obtaining initial estimates of the parameters in exponential curve fitting.Biometrics 25: 580–584 (1969).

    Article  Google Scholar 

  4. J. G. Wagner and J. I. Northam. Estimation of volume of distribution and half-life of a compound after rapid intravenous injection.J. Pharm. Sci. 56: 529–531 (1967).

    Article  CAS  PubMed  Google Scholar 

  5. S. Riegelman, J. C. K. Loo, and M. Rowland. Shortcomings in pharmacokinetic analysis by conceiving the body to exhibit properties of a single compartment.J. Pharm. Sci. 57: 117–123 (1968).

    Article  CAS  PubMed  Google Scholar 

  6. K. B. Bischoff and R. L. Dedrick. Generalized solution to linear, two-compartment, open model for drug distribution.J. Theoret. Biol. 29: 63–83 (1970).

    Article  CAS  Google Scholar 

  7. W. H. Swann. A survey of non-linear optimization techniques.FEBS Letters Suppl. 2: S39-S55 (1969).

    Article  Google Scholar 

  8. W. Lowenthal and B. L. Vitsky. Computer program for a double exponential equation to determine biological constants.J. Pharm. Sci. 56: 169–173 (1967).

    Article  CAS  PubMed  Google Scholar 

  9. F. W. Mueller and S. V. Lieberman. Fitting a double-exponential curve to observed salicylate concentrations in blood.J. Pharm. Sci. 59: 514–517 (1970).

    Article  CAS  PubMed  Google Scholar 

  10. H. O. Hartley. The modified Gauss-Newton method for the fitting of non-linear regression functions by least squares.Technometrics 3: 269–280 (1961).

    Article  Google Scholar 

  11. E. Kruger-Thiemer and B. Schlender. Die Losung chemotherapeutischer Probleme durch programmgesteuerte Ziffernrechenautomaten. 2. Mitteilung: Die exakte Berechnung der Gleichungsparameter und ihrer Vertrauensgrenzen mit Hilfe des Gauss-Newton-Iterations-verfahrens.Arzneim.-Forsch. 13: 891–894 (1963).

    Google Scholar 

  12. E. Kruger-Thiemer. Die Losung chemotherapeutischer Probleme durch programm-gesteuerte Ziffernrechenautomaten. 4. Mitteilung: Das Gauss-Newton-Iterationsverfahren für vier Gleichungsparameter.Arzneim.-Forsch. 14: 1332–1334 (1964).

    Google Scholar 

  13. C. M. Metzler.A User's Manual for NONLIN, The Upjohn Co., Technical Report 7292/69/7292/005, Kalamazoo, Mich., 1969.

  14. N. R. Draper and H. Smith.Applied Regression Analysis, 1st corrected printing, Wiley, New York, 1968.

    Google Scholar 

  15. V. F. Smolen. Quantitative determination of drug bioavailability and biokinetic behavior from pharmacological data for ophthalmic and oral administrations of a mydriatic drug.J. Pharm. Sci. 60: 354–365 (1971).

    Article  CAS  PubMed  Google Scholar 

  16. G. J. Cooper. The numerical solution of stiff differential equations.FEBS Letters Suppl. 2: S22-S29 (1969).

    Article  Google Scholar 

  17. S. A. Kaplan, M. Lewis, M. A. Schwartz, E. Postma, S. Cotler, C. W. Abruzzo, T. L. Lee, and R. E. Weinfeld. Pharmacokinetic model for chlordiazepoxide.HCl in the dog.J. Pharm. Sci. 59: 1569–1574 (1970).

    Article  CAS  PubMed  Google Scholar 

  18. J. G. P. Barnes. Some experiences in the estimation of parameters in non-linear differential equations.FEBS Letters Suppl. 2: S63-S69 (1969).

    Article  Google Scholar 

  19. M. Berman and M. F. Weiss.User's Manual for SAAM, National Institutes of Health, Bethesda, Md., 1968, pp. II-3–II-4.

    Google Scholar 

  20. J. G. Wagner, E. Novak, L. G. Leslie, and C. M. Metzler. Absorption, distribution and elimination of spectinomycin dihydrochloride in man.Internat. J. Clin. Pharmacol. 1: 261–285 (1968).

    CAS  Google Scholar 

  21. R. B. Loftfield and E. A. Eigner. Molecular order of participation of inhibitors (or activators) in biological systems.Science 164: 305–308 (1969).

    Article  CAS  PubMed  Google Scholar 

  22. M. C. Meyer and D. E. Guttman. The binding of drugs by plasma proteins.J. Pharm. Sci. 57: 895–918 (1968).

    Article  CAS  PubMed  Google Scholar 

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Pfeffer, M. COMPT, a time-sharing program for nonlinear regression analysis of compartmental models of drug distribution. Journal of Pharmacokinetics and Biopharmaceutics 1, 137–163 (1973). https://doi.org/10.1007/BF01059627

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  • DOI: https://doi.org/10.1007/BF01059627

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