Tissue distribution kinetics as determinant of transit time dispersion of drugs in organs: Application of a stochastic model to the rat hindlimb

Journal of Pharmacokinetics and Biopharmaceutics

Volumn 24, Issue 2, 1996, Pages 173-196

  Weiss, Michael ^a   Roberts, Michael S ^b  

^a MARTIN LUTHER UNIVERSITY HALLE WITTENBERG   (Germany)

^b UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

distribution kinetics; isolated perfused hindlimb; lidocaine; multiple indicator dilution; physiological pharmacokinetics; stochastic model; tissue diffusion; transit time distribution

Indexed keywords

LIDOCAINE;

ANIMAL TISSUE; ARTICLE; DIFFUSION; DRUG DISTRIBUTION; DRUG TISSUE LEVEL; DRUG TRANSPORT; MATHEMATICAL MODEL; NONHUMAN; PHARMACOKINETICS; PREDICTION; PRIORITY JOURNAL; RAT;

EID: 0029759461     PISSN: 0090466X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02353488     Document Type: Article

References (40)

1. F. R. Haselton, R. J. Roselli, R. E. Parker, and T. R. Harris. An effective-diffusivity model of pulmonary capillary exchange: General theory, limiting cases, and sensitivity analysis. Math. Biosci. 70:237-263 (1984).
2. B. A. Luxon and R. A. Weisiger. Extending the multiple indicator dilution method to include slow intracellular diffusion. Math. Biosci. 113:211-230 (1993).
3. K. B. Bischoff. Physiological pharmacokinetics. Bull. Math. Biophysics 48:309-322 (1986).
4. S. Björkman, D. R. Stanski, H. Harashima, R. Dowrie, S. R. Harapat, D. R. Wada, and W. F. Ebling. Tissue distribution of fentanyl and alfentanil in the rat cannot be described by a blood flow limited model. J. Pharmacokin. Biopharm. 2:255-279 (1993).
5. M. S. Roberts and M. Rowland. A dispersion model of hepatic elimination: I. Formulation of the model and bolus considerations. J. Pharmacokin. Biopharm. 14:227-257 (1986).
6. Y. Yano, K. Yamaoka, Y. Aoyama, and H. Tanaka. Two-compartment dispersion model for analysis of organ perfusion system of drugs by fast inverse Laplace transform (FILT). J. Pharmacokin. Biopharm. 17:179-202 (1989).
7. Y. Yano, K. Yamaoka, H. Yasui, and T. Nakagawa. Effect of perfusion rate on the local disposition of cefixime in liver perfusion system based on two-compartment dispersion model. Drug Metab. Dispos. 19:1022-1027 (1991).
8. J. M. Diaz-Garzia, A. M. Evans, and M. Rowland. Application of the axial dispersion model of hepatic drug elimination to the kinetics of diazepam in the isolated perfused rat liver. J. Pharmacokin. Biopharm. 20:171-193 (1992).
9. Z. Hussein, A. J. McLachlan, and M. Rowland. Distribution kinetics of salicylic acid in the isolated perfused rat liver assessed using moment analysis and the two-compartment axial dispersion model. Pharm. Res. 11:1337-1345 (1994).
10. J. B. Bassignthwaighte and C. A. Goresky. Modeling in the analysis of solute and water exchange in the microvasculature. In E. M. Renkin and C. Michel (eds.), Handbook of Physiology, Section 2, Vol. 4, American Physiological Society, Bethesda, MD, 1984, pp. 549-626.
11. B. A. Luxon and R. A. Weisiger. A new method for quantitating intracellular transport: application to the thyroid hormone 3,5,3′-triiodothyronine. Am. J. Physiol. 263:G733-G741 (1992).
12. M. Weiss. Moments of physiological transit time distributions and the time course of drug disposition in the body. J. Math. Biol. 15:305-318 (1982).
13. M. Weiss. Hemodynamic influences upon the variance of disposition residence time distribution. J. Pharmacokin. Biopharm. 11:63-75 (1983).
14. M. Weiss and K. S. Pang. The dynamics of drug distribution. I. Role of the second and third curve moment. J. Pharmacokin. Biopharm. 20:253-278 (1992).
15. M. Weiss. Distribution kinetics in the body and single organs: moment analysis. In D. Z. D' Argenio (ed.), Advanced Methods of Pharmacokinetic and Pharmacodynamic Systems Analysis, Vol. 2, Plenum Press, New York, 1995, pp. 89-100.
16. M. S. Roberts, J. D. Donaldson, and M. Rowland. Models of hepatic elimination: Comparison of stochastic models to describe residence time distributions and to predict the influence of drug distribution, enzyme heterogeneity, and systemic recycling of hepatic elimination. J. Pharmacokin. Biopharm. 16:41-83 (1988).
17. Z.-Y. Wu, L. P. Rivory, and M. S. Roberts. Physiology pharmacokinetics of solutes in the isolated perfused rat hindlimb: Characterization of the physiology with changing perfusate flow, protein content, and temperature using statistical moment analysis. J. Pharmacokin. Biopharm. 21:653-688 (1993).
18. Z-Y. Wu, S. E. Cross, and M. S. Roberts. Influence of physicochemical parameters and perfused flow rate on the distributuon of solutes in the isolated perfused rat hindlimb determined by the impulse-response technique. J. Pharm. Sci. 84:1020-1027 (1995).
19. M. Shinnar, P. Naor, and S. Katz. Interpretation and evaluation of multiple tracer experiments. Chem. Eng. Sci. 27:1627-1642 (1972).
20. C. W. Sheppard. Basic Principles of the Tracer Method, Wiley, New York, 1962.
21. M. Weiss. A note on the role of generalized inverse Gaussian distributions of circulatory transit times in pharmacokinetics. J. Math. Biol. 20:95-102 (1984).
22. Y. G. Sinai. Probability Theory, Springer, Berlin Heidelberg, 1992.
23. R. D. Purves. Accuracy of numerical inversion of Laplace transforms for pharmacokinetic parameter estimation. J. Pharm. Sci. 84:71-74 (1995).
24. M. Weiss. The relevance of residence time theory to pharmacokinetics. Eur. J. Clin. Pharmacol. 43:571-579 (1992).
25. M. Weiss. Residence time distributions in pharmacokinetics: Behavioral and structural models. In D. Z. D' Argenio (ed.), Advanced Methods of Pharmacokinetic and Pharmacodynamic Systems Analysis, Vol. 1, Plenum Press, New York, 1991, pp. 89-101.
26. M. Weiss. Generalizations in linear pharmacokinetics using properties of certain classes of residence time distributions. I. Log-convex drug disposition curves. J. Pharmacokin. Biopharm. 14:635-657 (1986).
27. W. C. Sangren and C. W. Sheppard. Mathematical derivation of the exchange of a labeled substance between a liquid flowing in a vessel and an external compartment. Bull. Math. Biophysics 15:387-394 (1953).
28. C. A. Goresky. Kinetic interpretation of hepatic multiple-indicator dilution studies. Am. J. Physiol. 245:G1-G12 (1983).
29. C. A. Goresky, W. H. Ziegler, and G. G. Bach. Capillary exchange modeling. Barrier-limited and flow-limited distribution. Circ. Res. 27:739-764 (1970).
30. J. B. Bassingthwaighte, C. Y. Wang, and I. S. Chan. Blood-tissue exchange via transport and transformation by capillary endothelial cells. Circ. Res. 65:997-1020 (1989).
31. J. B. Bassingthwaighte, I. S. J. Chan, and C. Y. Wang. Computationally efficient algorithms for convection-permeation-diffusion models for blood-tissue exchange. Ann. Biomed. Eng. 20:687-725 (1992).
32. M. S. Roberts, S. Fraser, D. Wagner, and L. McLeod. Residence time distributions of solutes in the perfused rat liver using a dispersion model of hepatic elimination: Effect of changes in perfusate flow and albumin concentration on sucrose and taurocholate. J. Pharmacokin. Biopharm. 18:209-234 (1990).
33. A. C. Heatherington, R. E. Oliver, A. F. Jones, and M. Rowland. A physiological based pharmacokinetic model to describe distribution kinetics in non-metabolising tissues. Proc. of the Meeting of the International Society of Xenobiotics (ISSX) 8:308 (1995).
34. A. C. Heatherington and M. Rowland. Estimation of reference spaces in the perfused rat hindlimb. Eur. J. Pharm. Sci. 2:261-270 (1994).
35. B. A. Luxon and R. A. Weisiger. Sex differences in intracellular fatty acid transport: Role of cytoplasic binding proteins. Am. J. Physiol. 265:G831-G841 (1993).
36. K. Sathirakul, H. Suzuki, K. Yasuda, M. Hanano, and Y. Sugiyama. Construction of a physiologically based pharmacokinetic model to describe the hepatobiliary excretion process of ligands: quantitative estimation of intracellular diffusion. Biol. Pharm. Bull. 16:273-279 (1993).
37. H. Yasui, K. Yamaoka, and T. Nakagawa. New hepatocellular diffusion model for analysis of hepatobiliary transport processes of drugs. J. Pharmacokin. Biopharm. 23:183-203 (1995).
38. R. J. Stock, E. V. Cilento, and R. S. McCuskey. A quantitative study of fluorescein isothiocyanate-dextran transport in the microcirculation of the isolated perfused rat liver. Hepatology 9:75-82 (1989).
39. I. R. Fenichel and S. B. Horowitz. The transport of nonelectrolytes in muscle as a diffusional process in cytoplasm. Acta Physiol. Scand. 60 (Suppl. 221):1-63 (1963).
40. R. Kawai, M. Lemaire, J.-L. Steimer, A. Bruelisauer, W. Niederberger, and M. Rowland. Physiologically based pharmacokinetic study on a cyclosporin derivative, SDZ IMM 125. J. Pharmacokin. Biopharm. 22:327-365 (1994).