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Volumn 26, Issue 5, 1998, Pages 495-519

Analysis of nonlinear and nonsteady state hepatic extraction with the dispersion model using the finite difference method

Author keywords

BQ 123; Computer simulation; Dispersion model; Finite difference method; Hepatic clearance; Multiple indicator dilution; Nonlinear partial differential equation; Nonlinear pharmacokinetics; Transit time distribution

Indexed keywords

CYCLO(DEXTRO TRYPTOPHYL DEXTRO ASPARTYLPROLYL DEXTRO VALYLLEUCYL);

EID: 0032423390     PISSN: 0090466X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (65)

References (44)
  • 1
    • 0017603437 scopus 로고
    • Hepatic clearance of drugs: I. Theoretical considerations of a well-stirred model and a parallel-tube model. Influence of hepatic blood flow, plasma and blood cell binding and hepatocellular enzymatic activity on hepatic drug clearance
    • 1. K. S. Pang and M. Rowland. Hepatic clearance of drugs: I. Theoretical considerations of a well-stirred model and a parallel-tube model. Influence of hepatic blood flow, plasma and blood cell binding and hepatocellular enzymatic activity on hepatic drug clearance. J. Pharmacokin. Biopharm. 5:625-653 (1977).
    • (1977) J. Pharmacokin. Biopharm. , vol.5 , pp. 625-653
    • Pang, K.S.1    Rowland, M.2
  • 3
    • 0017176322 scopus 로고
    • Enzymatic elimination of substrates flowing through the intact liver
    • 3. L. Bass, S. Keiding, K. Winkler, and N. Tygstrup. Enzymatic elimination of substrates flowing through the intact liver. J. Theoret. Biol. 61:393-409 (1976).
    • (1976) J. Theoret. Biol. , vol.61 , pp. 393-409
    • Bass, L.1    Keiding, S.2    Winkler, K.3    Tygstrup, N.4
  • 5
    • 0015083368 scopus 로고
    • Metabolism of propranolol by rat liver microsomes and its inhibition by phenothiazone and tricyclic antidepressant drugs
    • 5. D. G. Shand and J. A. Oates. Metabolism of propranolol by rat liver microsomes and its inhibition by phenothiazone and tricyclic antidepressant drugs. Biochem. Pharmacol. 20:1720-1723 (1971).
    • (1971) Biochem. Pharmacol. , vol.20 , pp. 1720-1723
    • Shand, D.G.1    Oates, J.A.2
  • 6
    • 0017335453 scopus 로고
    • Prediction of hepatic extraction ratio from in vitro measurement of intrinsic clearance
    • 6. A. Rane, G. R. Wilkinson, and D. G. Shand. Prediction of hepatic extraction ratio from in vitro measurement of intrinsic clearance. J. Pharmacol. Exp. Ther. 200:420-424 (1977).
    • (1977) J. Pharmacol. Exp. Ther. , vol.200 , pp. 420-424
    • Rane, A.1    Wilkinson, G.R.2    Shand, D.G.3
  • 7
    • 0012527385 scopus 로고
    • Dissociation from albumin: A potentially rate-limiting step in the clearance of substances by the liver
    • 7. R. A. Weisiger. Dissociation from albumin: A potentially rate-limiting step in the clearance of substances by the liver. Proc. Natl. Acad. Sci. U.S. 82:1563-1567 (1985).
    • (1985) Proc. Natl. Acad. Sci. U.S. , vol.82 , pp. 1563-1567
    • Weisiger, R.A.1
  • 8
    • 0029554932 scopus 로고
    • An understanding of flow-and diffusion-limited vs. carrier-mediated hepatic transport: A simulation study
    • 8. W. P. Geng, K. Poon, and K. S. Pang. An understanding of flow-and diffusion-limited vs. carrier-mediated hepatic transport: A simulation study. J. Pharmacokin. Biopharm. 23:347-378 (1995).
    • (1995) J. Pharmacokin. Biopharm. , vol.23 , pp. 347-378
    • Geng, W.P.1    Poon, K.2    Pang, K.S.3
  • 10
    • 0021798973 scopus 로고
    • Hepatic elimination - Dispersion model
    • 10. M. S. Roberts and M. Rowland. Hepatic elimination - dispersion model. J. Pharm. Sci. 74:585-587 (1985).
    • (1985) J. Pharm. Sci. , vol.74 , pp. 585-587
    • Roberts, M.S.1    Rowland, M.2
  • 11
    • 0022549973 scopus 로고
    • A dispersion model of hepatic elimination. I. Formulation of the model and bolus considerations
    • 11. M. S. Roberts and M. Rowland. A dispersion model of hepatic elimination. I. Formulation of the model and bolus considerations. J. Pharmacokin. Biopharm. 14:227-260 (1986).
    • (1986) J. Pharmacokin. Biopharm. , vol.14 , pp. 227-260
    • Roberts, M.S.1    Rowland, M.2
  • 12
    • 0018190444 scopus 로고
    • Hepatic elimination of flowing substances: The distributed model
    • 12. L. Bass, P. Robinson, and A. J. Bracken. Hepatic elimination of flowing substances: The distributed model. J. Theoret. Biol 72:161-184 (1978).
    • (1978) J. Theoret. Biol , vol.72 , pp. 161-184
    • Bass, L.1    Robinson, P.2    Bracken, A.J.3
  • 13
    • 0018163388 scopus 로고
    • Hepatic transport kinetics and plasma disappearance curves: Distributed modeling versus conventional approach
    • 13. E. L. Forker and B. Luxon. Hepatic transport kinetics and plasma disappearance curves: Distributed modeling versus conventional approach. Am. J. Physiol. 235:E648-E660 (1978).
    • (1978) Am. J. Physiol. , vol.235
    • Forker, E.L.1    Luxon, B.2
  • 14
    • 0014876045 scopus 로고
    • Capillary exchange modeling. Barrier-limited and flow limited distribution
    • 14. 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).
    • (1970) Circ. Res. , vol.27 , pp. 739-764
    • Goresky, C.A.1    Ziegler, W.H.2    Bach, G.G.3
  • 15
    • 0023798828 scopus 로고
    • Dynamic determination of kinetic parameters for the interaction between polypeptide hormones and cell-surface receptors in the perfused rat liver by the multiple-indicator dilution method
    • 15. H. Sato, Y. Sugiyama, Y. Sawada, T. Iga, S. Sakamoto, T. Fuwa, and H. Hanano. Dynamic determination of kinetic parameters for the interaction between polypeptide hormones and cell-surface receptors in the perfused rat liver by the multiple-indicator dilution method. Proc. Natl. Acad. Sci. U.S. 85:8355-8359 (1988).
    • (1988) Proc. Natl. Acad. Sci. U.S. , vol.85 , pp. 8355-8359
    • Sato, H.1    Sugiyama, Y.2    Sawada, Y.3    Iga, T.4    Sakamoto, S.5    Fuwa, T.6    Hanano, H.7
  • 16
    • 0024512835 scopus 로고
    • Kinetic analysis of cerebrovascular transport based on indicator diffusion technique
    • 16. Y. Sawada, C. S. Patlak, and R. G. Blasberg. Kinetic analysis of cerebrovascular transport based on indicator diffusion technique. Am. J. Physiol. 256:H794-H812 (1989).
    • (1989) Am. J. Physiol. , vol.256
    • Sawada, Y.1    Patlak, C.S.2    Blasberg, R.G.3
  • 17
    • 0025719936 scopus 로고
    • Effect of perfusion rate on the local disposition of cefixime in liver perfusion system based on two-compartment dispersion model
    • 17. 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).
    • (1991) Drug Metab. Dispos. , vol.19 , pp. 1022-1027
    • Yano, Y.1    Yamaoka, K.2    Yasui, H.3    Nakagawa, T.4
  • 19
    • 0020713707 scopus 로고
    • Effects of saturating metabolic uptake on space profiles and tracer kinetics
    • 19. C. A. Goresky, G. G. Bach, and C. P. Rose. Effects of saturating metabolic uptake on space profiles and tracer kinetics. Am. J. Physiol. 244:G215-G232 (1983).
    • (1983) Am. J. Physiol. , vol.244
    • Goresky, C.A.1    Bach, G.G.2    Rose, C.P.3
  • 20
    • 0024955759 scopus 로고
    • Availability predictions by hepatic elimination models for Michaelis-Menten kinetics
    • 20. M. S. Roberts, J. D. Donaldson, and D. Jackett. Availability predictions by hepatic elimination models for Michaelis-Menten kinetics. J. Pharmacokin. Biopharm. 17:687-719 (1989).
    • (1989) J. Pharmacokin. Biopharm. , vol.17 , pp. 687-719
    • Roberts, M.S.1    Donaldson, J.D.2    Jackett, D.3
  • 21
    • 0020331885 scopus 로고
    • A mathematical model of indicator extraction by the pulmonary endothelium via saturation kinetics
    • 21. T. A. Bronikowski, C. A. Dawson, J. H. Linehan, and D. A. Rickaby. A mathematical model of indicator extraction by the pulmonary endothelium via saturation kinetics. Math. Biosci. 61:237-266 (1982).
    • (1982) Math. Biosci. , vol.61 , pp. 237-266
    • Bronikowski, T.A.1    Dawson, C.A.2    Linehan, J.H.3    Rickaby, D.A.4
  • 23
    • 0031149581 scopus 로고    scopus 로고
    • Efficient numerical methods for nonlinear-facilitated transport and exchange in a blood-tissue exchange unit
    • 23. C. A. Poulain, B. A. Finlayson, and J. B. Bassingthwaighte. Efficient numerical methods for nonlinear-facilitated transport and exchange in a blood-tissue exchange unit. Ann. Biomed. Eng. 25:547-564 (1997).
    • (1997) Ann. Biomed. Eng. , vol.25 , pp. 547-564
    • Poulain, C.A.1    Finlayson, B.A.2    Bassingthwaighte, J.B.3
  • 24
    • 0023933009 scopus 로고
    • Models of hepatic elimination: Comparison of stochastic models to describe residence time distribution and to predict the influence of drug distribution, enzyme heterogeneity and systemic recycling on hepatic elimination
    • 24. M. S. Roberts, J. D. Donaldson, and M. Rowland. Models of hepatic elimination: Comparison of stochastic models to describe residence time distribution and to predict the influence of drug distribution, enzyme heterogeneity and systemic recycling on hepatic elimination. J. Pharmacokin. Biopharm. 16:41-84 (1988).
    • (1988) J. Pharmacokin. Biopharm. , vol.16 , pp. 41-84
    • Roberts, M.S.1    Donaldson, J.D.2    Rowland, M.3
  • 25
    • 0023661747 scopus 로고
    • On the relation between extended forms of the sinusoidal perfusion and of the convection-dispersion models of hepatic elimination
    • 25. L. Bass, M. S. Roberts, and P. J. Robinson. On the relation between extended forms of the sinusoidal perfusion and of the convection-dispersion models of hepatic elimination. J. Theoret. Biol. 126:457-482 (1987).
    • (1987) J. Theoret. Biol. , vol.126 , pp. 457-482
    • Bass, L.1    Roberts, M.S.2    Robinson, P.J.3
  • 26
    • 0031556930 scopus 로고    scopus 로고
    • A note on the interpretation of tracer dispersion in the liver
    • 26. M. Weiss. A note on the interpretation of tracer dispersion in the liver. J. Theoret. Biol. 184:1-6 (1997).
    • (1997) J. Theoret. Biol. , vol.184 , pp. 1-6
    • Weiss, M.1
  • 30
    • 0030427029 scopus 로고    scopus 로고
    • Hepatobiliary transport mechanism for the cyclopentapeptide endothelin antagonist BQ-123
    • 30. H. Shin, Y. Kato, T. Yamada, A. Hisaka, and Y. Sugiyama. Hepatobiliary transport mechanism for the cyclopentapeptide endothelin antagonist BQ-123. Am. J. Physiol. 278:607-613 (1996).
    • (1996) Am. J. Physiol. , vol.278 , pp. 607-613
    • Shin, H.1    Kato, Y.2    Yamada, T.3    Hisaka, A.4    Sugiyama, Y.5
  • 31
    • 0024328692 scopus 로고
    • Two-compartment dispersion model for analysis of organ perfusion system of drugs by fast inverse Laplace transform (FILT)
    • 31. 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).
    • (1989) J. Pharmacokin. Biopharm. , vol.17 , pp. 179-202
    • Yano, Y.1    Yamaoka, K.2    Aoyama, Y.3    Tanaka, H.4
  • 32
    • 0019441682 scopus 로고
    • Residence time distributions in systems governed by the dispersion equation
    • 32. E. B. Nauman. Residence time distributions in systems governed by the dispersion equation. Chem. Eng. Sci. 36:957-966 (1981).
    • (1981) Chem. Eng. Sci. , vol.36 , pp. 957-966
    • Nauman, E.B.1
  • 33
    • 0024642303 scopus 로고
    • A non-linear least squares program, MULTI (FILT), based on fast inverse Laplace transform for microcomputers
    • 33. Y. Yano, K. Yamaoka, and H. Tanaka. A non-linear least squares program, MULTI (FILT), based on fast inverse Laplace transform for microcomputers. Chem. Pharm. Bull. 37:1535-1538 (1989).
    • (1989) Chem. Pharm. Bull. , vol.37 , pp. 1535-1538
    • Yano, Y.1    Yamaoka, K.2    Tanaka, H.3
  • 34
    • 0029609636 scopus 로고
    • Accuracy of numerical inversion of Laplace transforms for pharmacokinetic parameter estimation
    • 34. R. D. Purves. Accuracy of numerical inversion of Laplace transforms for pharmacokinetic parameter estimation. J. Pharm. Sci. 84:71-74 (1995).
    • (1995) J. Pharm. Sci. , vol.84 , pp. 71-74
    • Purves, R.D.1
  • 36
    • 0019854279 scopus 로고
    • A pharmacokinetic analysis program (MULTI) for microcomputer
    • 36. K. Yamaoka, T. Tanigawara, T. Nakagawa, and T. Uno. A pharmacokinetic analysis program (MULTI) for microcomputer. J. Pharmacobiodyn. 4:879-885 (1981).
    • (1981) J. Pharmacobiodyn. , vol.4 , pp. 879-885
    • Yamaoka, K.1    Tanigawara, T.2    Nakagawa, T.3    Uno, T.4
  • 37
    • 0022615232 scopus 로고
    • An analysis program MULTI (ELS) based on extended nonlinear least squares method for microcomputers
    • 37. K. Yamaoka, T. Tanaka, K. Okumura, M. Yasuhara, and R. Hori. An analysis program MULTI (ELS) based on extended nonlinear least squares method for microcomputers. J. Pharmacobiodyn. 9:161-173 (1986).
    • (1986) J. Pharmacobiodyn. , vol.9 , pp. 161-173
    • Yamaoka, K.1    Tanaka, T.2    Okumura, K.3    Yasuhara, M.4    Hori, R.5
  • 38
    • 0022652710 scopus 로고
    • Effect of albumin on hepatic uptake of warfarin in normal and analbuminemic mutant rats: Analysis by multiple indicator dilution method
    • 38. S. C. Tsao, Y. Sugiyama, Y. Sawada, S. Nagase, T. Iga, and M. Hanano. Effect of albumin on hepatic uptake of warfarin in normal and analbuminemic mutant rats: analysis by multiple indicator dilution method. J. Pharmacokin. Biopharm. 14:51-64 (1986).
    • (1986) J. Pharmacokin. Biopharm. , vol.14 , pp. 51-64
    • Tsao, S.C.1    Sugiyama, Y.2    Sawada, Y.3    Nagase, S.4    Iga, T.5    Hanano, M.6
  • 39
    • 0016355478 scopus 로고
    • A new look at the statistical model identification
    • 39. H. Akaike. A new look at the statistical model identification. IEEE Trans. Automat. Contr. 19:716-723 (1974).
    • (1974) IEEE Trans. Automat. Contr. , vol.19 , pp. 716-723
    • Akaike, H.1
  • 41
    • 0024359410 scopus 로고
    • +-dependent taurocholate uptake in basolateral (sinusoidal) rat liver plasma membrane vesicles
    • +-dependent taurocholate uptake in basolateral (sinusoidal) rat liver plasma membrane vesicles. J. Pharmacol. Exp. Ther. 250:301-308 (1989).
    • (1989) J. Pharmacol. Exp. Ther. , vol.250 , pp. 301-308
    • Zimmerli, B.1    Valantinas, J.2    Meier, P.J.3
  • 43
    • 0025281139 scopus 로고
    • Carrier-mediated transport in the hepatic distribution and elimination of drugs, with special reference to the category of organic cations
    • 43. D. K. F. Meijer, W. E. M. Mol, M. Müller, and G. Kurz. Carrier-mediated transport in the hepatic distribution and elimination of drugs, with special reference to the category of organic cations. J. Pharmacokin. Biopharm. 18:35-70 (1990).
    • (1990) J. Pharmacokin. Biopharm. , vol.18 , pp. 35-70
    • Meijer, D.K.F.1    Mol, W.E.M.2    Müller, M.3    Kurz, G.4
  • 44
    • 0032940054 scopus 로고    scopus 로고
    • Analysis of nonlinear hepatic clearance of a cyclopentapeptide, BQ-123, with the multiple indicator dilution method using the dispersion model
    • 44. A. Hisaka, T. Nakamura, and Y. Sugiyama. Analysis of nonlinear hepatic clearance of a cyclopentapeptide, BQ-123, with the multiple indicator dilution method using the dispersion model. Pharm. Res. 16:103-109 (1999).
    • (1999) Pharm. Res. , vol.16 , pp. 103-109
    • Hisaka, A.1    Nakamura, T.2    Sugiyama, Y.3


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