A physiologically based pharmacokinetic model incorporating dispersion principles to describe solute distribution in the perfused rat hindlimb preparation

Journal of Pharmacokinetics and Biopharmaceutics

Volumn 25, Issue 4, 1997, Pages 389-412

  Oliver, Ruth E ^a,b   Heatherington, Anne C ^a,c   Jones, Alan F ^a   Rowland, Malcolm ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

^b ICON Development Solutions   (United States)

^c AMGEN INC   (United States)

Author keywords

Axial dispersion; Barbiturates; Numerical finite difference methods; Perfused rat hindlimb; Physiologically based pharmacokinetic model; Reference markers

Indexed keywords

ALBUMIN I 125; BARBITURIC ACID DERIVATIVE; ERYTHROCYTE CR 51; SUCROSE; TRITIUM OXIDE; UREA;

ADIPOSE TISSUE; ANIMAL TISSUE; ARTICLE; BONE; CONTROLLED STUDY; DRUG DISTRIBUTION; EQUILIBRIUM CONSTANT; FEMALE; HINDLIMB; ISOTOPE LABELING; NONHUMAN; PHYSICAL MODEL; PRIORITY JOURNAL; RAT; REGIONAL PERFUSION; SKELETAL MUSCLE; SKIN;

ALBUMINS; ANIMALS; ERYTHROCYTES; HINDLIMB; MATHEMATICS; MODELS, BIOLOGICAL; MUSCLE, SKELETAL; PERFUSION; PHARMACOKINETICS; RATS;

EID: 0031412577     PISSN: 0090466X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025788824946     Document Type: Article

References (46)

1. N. Benowitz, R. P. Forsyth, K. L. Melmon, and M. Rowland. Lidocaine disposition kinetics in monkey and man. I. Prediction by a perfusion model. Clin. Pharmacol. Ther. 16:87-98 (1974).
2. M. H. Bickel and R. Gerney. Drug disposition as a function of binding competition. Experiments with the distribution dialysis technique. J. Pharm. Pharmacol. 32:669-674 (1980).
3. S. Björkman, D. R. Stanski, D. Verotta, and H. Harashima. Comparative tissue concentration profiles of fentanyl and alfentanil in humans predicted from tissue/blood partition data obtained in rats. Anesthesiology 72:865-873 (1990).
4. B. Fitchl, A. Nieciecki, and K. Walter. Tissue binding versus plasma binding of drugs: General principles and pharmacokinetic consequences. Adv. Drug. Res. 20:118-166 (1991).
5. T. Terasaki, Y. Sugiyama, T. Iga, Y. Sawada, and M. Hanano. Theoretical consideration of drug distribution kinetics in a noneliminating organ: comparison between a "homogeneous (well-stirred)" model and "nonhomogeneous (tube)" model. J. Pharmacokin. Biopharm. 13:265-287 (1985).
6. A. Bernareggi and M. Rowland, Physiological modeling of cyclosporin kinetics in rat and man. J. Pharmacokin. Biopharm. 19:21-50 (1991).
7. 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. 22:327-363 (1994).
8. R. E. Oliver. Development of a whole-body physiological model based on dispersion concepts to describe the pharmacokinetics of drug in the body. PhD Thesis, Dept. of Pharmacy, University of Manchester, Manchester, England, 1995.
9. A. C. Heatherington and M. Rowland. Development of a physiologically based pharmacokinetic model of tissue distribution: estimation of fractional flows in the isolated perfused rat hindlimb. Proceedings of the 2nd Ukaps Annual Conference (ISBN 094891705 9), 1993, p. 48.
10. A. C. Heatherington and M. Rowland. Estimation of reference spaces in the perfused rat hindlimb. Eur. J. Pharm. Sci. 2:261-270 (1994).
11. A. C. Heatherington and M. Rowland. Discrepancies in pharmacokinetic parameter estimation between bolus and infusion studies in the perfused rat hindlimb. J. Pharmacokin. Biopharm. 23:441-462 (1995).
12. M. S. Roberts and M. Rowland. A dispersion model of hepatic elimination: 1. Formulation of the model and bolus considerations. J. Pharmacokin. Biopharm. 14:227-260 (1986).
13. W. E. Scheisser The Numerical Method of Lines: Integration of Partial Differential Equations, Academic Press, London, 1991.
14. V. Lopez-Majano, B. A. Rhodes, and H. N. Wagner Jr. Arteriovenous shunting in extremities. J. Appl. Physiol. 27:782-786 (1969).
15. J. R. Hales, A. Foldes, A. A. Fawcett, and R. B. King. The role of adrenergic mechanisms in thermoregulatory control of blood flow through capillaries and arteriovenous anastomoses in the sheep hindlimb. Pflugers Arch. Ges. Physiol. 395:93-98 (1982).
16. R. P. Hof and A. Hof. Differential effects of antihypertensive drugs on nutritive and nonnutritive blood flow in anaesthetized rabbits. J. Cardiovasc. Pharmacol. 13:565-571 (1989).
17. E. M. Renkin. Effects of blood flow on diffusion kinetics in isolated perfused hindlegs of cats: A double recirculation hypothesis. Am. J. Physiol. 183:125-136 (1955).
18. R. J. Spence, B. A. Rhodes, and H. N. Wagner Jr. Regulation of arteriovenous anastomotic and capillary blood flow in the dog leg. Am. J. Physiol. 222:326-332 (1972).
19. P. R. Saxena and P. D. Verdouw. Tissue blood flow and localization of arteriovenous anastomoses in pigs with microspheres of four different sizes. Pflugers Arch. Ges. Physiol. 403:128-135 (1985).
20. P. Martin and D. Yudulevich. A theory for the quantification of transcapillary exchange by tracer-dilution curves. Am J. Physiol. 207:162-168 (1964).
21. J. R. Hales, A. A. Fawcett, and J. W. Bennett. Radioactive microsphere partitioning of blood flow between capillaries and arteriovenous anastomoses in skin of conscious sheep. Pflugers Arch. Ges. Physiol. 376:87-91 (1978).
22. V. H. Oddy, B. W. Brown, and A. W. Jones. Measurement of organ blood flow using tritiated water. I. Hind-limb muscle blood flow in conscious ewes. Aust. J. Biol. Sci. 34:419-425 (1981).
23. 1 on blood flow in normal and ischemic canine hind limbs. Surgery 95:724-729 (1984).
24. G. Stephenson. In G. Stephenson (ed.), Partial Differential Equations for Scientists and Engineers, 3rd ed., Longman, London, 1985.
25. B. R. Duling and D. H. Damon. An examination of the measurement of flow heterogeneity in striated muscle. Circ. Res. 60:1-13 (1987).
26. C. G. Caro. The dispersion of indicator flowing through simplified models of circulation and its relevance to the velocity profile in blood vessels. J. Physiol. 185:501-519 (1966).
27. J. B. Bassingthwaigte. A concurrent flow model for extraction during transcapillary passage. Circ. Res. 35:483-503 (1974).
28. A. M. Lenhoff and E. N. Lightfoot. The effects of axial diffusion and permeability barriers on the transient response of tissue cylinders. II. Solution in the time domain. J. Theoret. Biol. 106:207-238 (1984).
29. A. M. Evans, Z. Hussain, and M. Rowland. Influence of albumin on the distribution and elimination kinetics of diclofenac in the isolated perfused rat liver: Analysis by the impulse-response technique and the dispersion model. J. Pharm. Sci. 82:421-428 (1992).
30. J. M. Garcia-Diaz, A. M. Evans, and M. Rowland. Application of the axial dispersion model of hepatic elimination to the kinetics of diazepam in the isolated perfused rat liver. J. Pharmacokin. Biopharm. 20:171-193 (1992).
31. C-H. Chou, A. M. Evans, G. Foransini, and M. Rowland. Relationship between lipophilicity and hepatic dispersion and distribution for a homologous series of barbiturates in the isolated perfused in situ rat liver. Drug. Metab. Dispos. 21:933-938 (1993).
32. Z. Hussain, 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 dispersion model. Pharm. Res. 11:1337-1345 (1994).
33. P. O. Iverson, M. Standa, and G. Nicolaysen. Marked regional heterogeneity in blood flow and glucose uptake within single skeletal muscles in the awake rabbit. Acta Physiol. Scand. 140:373-381 (1989).
34. C. R. Honig, M. Feldstein, and J. L. Frierson. Capillary lengths, anastomoses and estimated transit times in skeletal muscle. Am. J. Physiol. 233:H122-H129 (1977).
35. E. Eriksson and R. Myrrhage. Microvascular dimensions and blood flow in skeletal muscle. Acta Physiol. Scand. 86:211-222 (1972).
36. A. Koo, I. Y. S. Liang, and K. K. Cheng. The terminal hepatic microcirculation in the rat. Quart. J. Exp. Physiol. 60:261-266 (1975).
37. C. Cobelli, M. P. Saccomani, E. Ferrannini, R. A. DefronZo, R. Gelfand, and R. Bonadonna. A compartmental model to quantitate in vivo glucose transport in the human forearm. Am. J. Physiol. 257:E943-E958 (1989).
38. M. T. Van Genuchten and J. C. Parker. Boundary conditions for displacement experiments through short laboratory soil columns. Am. J. Soil Soc. 48:703-709 (1984).
39. C. Y. Wen and L.T. Fan. Dispersion models. In Models for Flow Systems and Chemical Reactors, Dekker, New York, 1975, pp. 113-208.
40. T. Kakutani, K. Yamaoka, N. Hashida, and H. Sezaki. A new method for assessment of drug disposition in muscle; Application of statistical moment theory to local perfusion systems. J. Pharmacokin. Biopharm. 13:609-631 (1985).
41. Z. Y. Wu, L. P. Rivory, and M. S. Roberts. Physiological 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).
42. N. B. Ruderman, M. N. Goodman, M. Berger, and S. Hagg. Effect of starvation on muscle glucose metabolism: Studies with the isolated perfused rat hindquarter. Fed. Proc. 36:171-176 (1977).
43. A. C. Heatherington. A physiologically based pharmacokinetic model for drug distribution. PhD Thesis, Dept. of Pharmacy, University of Manchester, Manchester, England, 1994.
44. E. J. Messina. General considerations for evaluation of cutaneous and skeletal muscle blood flow and volume. J. Appl. Physiol. 9:731-744 (1976).
45. W. L. Sexton, R. J. Korthuis, and M. H. Laughlin. Vascular flow capacity of hindlimb skeletal muscles in spontaneously hypertensive rats. J. Appl. Physiol. 69:107-1079 (1990).
46. R. Kawai, A. Nakashima, I. Akasaka, Y. Takahashi, and M. Ohtawa. Measurements of vascular, interstitial and intracellular volumes in rats. Advances in simultaneous pharmacokinetic/pharmacodynamic modelling, 2nd International Symposium, The Netherlands, 1994.