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Volumn 26, Issue 4, 2009, Pages 263-296

Importance of Taylor dispersion in pharmacokinetic and multiple indicator dilution modelling

Author keywords

Barrier limited; Dispersion coefficient; Flow limited; Pharmacokinetic model; Taylor dispersion; Well mixed

Indexed keywords

CAPILLARITY; DISPERSIONS; MASS TRANSFER; PHARMACOKINETICS; TISSUE;

EID: 77749332048     PISSN: 14778599     EISSN: 14778602     Source Type: Journal    
DOI: 10.1093/imammb/dqp004     Document Type: Article
Times cited : (9)

References (59)
  • 2
    • 0000038907 scopus 로고
    • On the dispersion of a solute by diffusion, convection and exchange between phases
    • ARIS, R. (1959) On the dispersion of a solute by diffusion, convection and exchange between phases. Proc. R. Soc. A, 252, 538-550.
    • (1959) Proc. R. Soc. A , vol.252 , pp. 538-550
    • Aris, R.1
  • 3
    • 0031938725 scopus 로고    scopus 로고
    • Pulmonary disposition of lipophilic amine compounds in the isolated perfused rabbit lung
    • AUDI, S. H., DAWSON, C. A., LINEHAN, J. H., KRENZ, G. S., AHLF, S. B. & ROERIG, D. L. (1998a) Pulmonary disposition of lipophilic amine compounds in the isolated perfused rabbit lung. J. Appl. Physiol., 84, 516-530.
    • (1998) J. Appl. Physiol. , vol.84 , pp. 516-530
    • Audi, S.H.1    Dawson, C.A.2    Linehan, J.H.3    Krenz, G.S.4    Ahlf, S.B.5    Roerig, D.L.6
  • 4
    • 0032198952 scopus 로고    scopus 로고
    • Accounting for the heterogeneity of capillary transit times in modeling multiple indicator dilution data
    • AUDI, S. H., LINEHAN, J. H., KRENZ, G. S. & DAWSON, C. A. (1998b) Accounting for the heterogeneity of capillary transit times in modeling multiple indicator dilution data. Ann. Biomed. Eng., 26, 914-930.
    • (1998) Ann. Biomed. Eng. , vol.26 , pp. 914-930
    • Audi, S.H.1    Linehan, J.H.2    Krenz, G.S.3    Dawson, C.A.4
  • 5
    • 0032126452 scopus 로고    scopus 로고
    • A dispersion model for the hepatic uptake and elimination of 2,3,7,8-tetrachlorodibenzo-p-dioxin
    • BANKS, H. T., MUSANTE, C. J. & TRAN, H. T. (1998) A dispersion model for the hepatic uptake and elimination of 2,3,7,8-tetrachlorodibenzo-p-dioxin. Math Comput. Model., 28, 9-29.
    • (1998) Math Comput. Model. , vol.28 , pp. 9-29
    • Banks, H.T.1    Musante, C.J.2    Tran, H.T.3
  • 6
    • 0017651654 scopus 로고
    • Physiology and theory of tracer washout techniques for the estimation of myocardial blood flow: flow estimation from tracer washout
    • BASSINGTHWAIGHTE, J. B. (1977) Physiology and theory of tracer washout techniques for the estimation of myocardial blood flow: flow estimation from tracer washout. Prog. Cardiovasc. Dis., XX, 165-189.
    • (1977) Prog. Cardiovasc. Dis. , vol.20 , pp. 165-189
    • Bassingthwaighte, J.B.1
  • 7
    • 0001462384 scopus 로고
    • Modeling in the analysis of solute and water exchange in the microvasculature
    • (E. M. Renkin & C. C. Michel). Handbook of Physiology, Section 2. Bethesda, MD: American Physiological Society
    • BASSINGTHWAIGHTE, J. B. & GORESKY, C. A. (1984) Modeling in the analysis of solute and water exchange in the microvasculature. The Cardiovascular System, Volume IV, Microcirculation, Part I (E. M. Renkin & C. C. Michel). Handbook of Physiology, Section 2. Bethesda, MD: American Physiological Society, pp. 549-626.
    • (1984) The Cardiovascular System, Microcirculation, Part I , vol.4 , pp. 549-626
    • Bassingthwaighte, J.B.1    Goresky, C.A.2
  • 10
    • 0034747383 scopus 로고    scopus 로고
    • Computational framework for generating transport models from databases of microvascular anatomy
    • BEARD, D. A. (2001) Computational framework for generating transport models from databases of microvascular anatomy. Ann. Biomed. Eng., 29, 837-843.
    • (2001) Ann. Biomed. Eng. , vol.29 , pp. 837-843
    • Beard, D.A.1
  • 11
    • 0034150362 scopus 로고    scopus 로고
    • Advection and diffusion of substances in biological tissues with complex vascular networks
    • BEARD, D. A. & BASSINGTHWAIGHTE, J. B. (2000) Advection and diffusion of substances in biological tissues with complex vascular networks. Ann. Biomed. Eng., 28, 253-268.
    • (2000) Ann. Biomed. Eng. , vol.28 , pp. 253-268
    • Beard, D.A.1    Bassingthwaighte, J.B.2
  • 12
    • 0034743998 scopus 로고    scopus 로고
    • Modeling advection and diffusion of oxygen in complex vascular networks
    • BEARD, D. A. & BASSINGTHWAIGHTE, J. B. (2001) Modeling advection and diffusion of oxygen in complex vascular networks. Ann. Biomed. Eng., 29, 298-310.
    • (2001) Ann. Biomed. Eng. , vol.29 , pp. 298-310
    • Beard, D.A.1    Bassingthwaighte, J.B.2
  • 14
    • 0014303572 scopus 로고
    • The flow of blood in the capillaries
    • BLOOR, M. I. (1968) The flow of blood in the capillaries. Phys. Med. Biol., 13, 443-450.
    • (1968) Phys. Med. Biol. , vol.13 , pp. 443-450
    • Bloor, M.I.1
  • 15
    • 0034616620 scopus 로고    scopus 로고
    • Modeling of diffusion and concurrent metabolism in cutaneous tissue
    • BODERKE, P., SCHITTKOWSKI, K., WOLF, M. & MERKLE, H. P. (2000) Modeling of diffusion and concurrent metabolism in cutaneous tissue. J. Theor. Biol., 204, 393-407.
    • (2000) J. Theor. Biol. , vol.204 , pp. 393-407
    • Boderke, P.1    Schittkowski, K.2    Wolf, M.3    Merkle, H.P.4
  • 16
    • 0141975920 scopus 로고    scopus 로고
    • Dynamical clustering of red blood cells in capillary vessels
    • BORYCZKO, K., DZWINEL, W. & YUEN, D. A. (2003) Dynamical clustering of red blood cells in capillary vessels. J. Mol. Model., 9, 16-33.
    • (2003) J. Mol. Model. , vol.9 , pp. 16-33
    • Boryczko, K.1    Dzwinel, W.2    Yuen, D.A.3
  • 21
    • 0026752823 scopus 로고
    • Application of the axial dispersion model of hepatic drug elimination to the kinetics of diazepam in the isolated perfused rat liver
    • DIAZ-GARCIA, J. M., EVANS, A. M. & ROWLAND, M. (1992) Application of the axial dispersion model of hepatic drug elimination to the kinetics of diazepam in the isolated perfused rat liver. J. Pharmacokinet. Biopharm., 20, 171-193.
    • (1992) J. Pharmacokinet. Biopharm. , vol.20 , pp. 171-193
    • Diaz-Garcia, J.M.1    Evans, A.M.2    Rowland, M.3
  • 22
    • 0037323726 scopus 로고    scopus 로고
    • A discrete-particle model of blood dynamics in capillary vessels
    • DZWINEL, W., BORYCZKO, K. & YUEN, D. A. (2003) A discrete-particle model of blood dynamics in capillary vessels. J. Colloid Interface Sci., 258, 163-173.
    • (2003) J. Colloid Interface Sci. , vol.258 , pp. 163-173
    • Dzwinel, W.1    Boryczko, K.2    Yuen, D.A.3
  • 23
    • 0028561860 scopus 로고
    • From piecewise to full physiologic pharmacokinetic modeling: applied to thiopental disposition in the rat
    • EBLING, W. F., WADA, D. R. & STANSKI, D. R. (1994) From piecewise to full physiologic pharmacokinetic modeling: applied to thiopental disposition in the rat. J. Pharmacokinet. Biopharm., 22, 259-292.
    • (1994) J. Pharmacokinet. Biopharm. , vol.22 , pp. 259-292
    • Ebling, W.F.1    Wada, D.R.2    Stanski, D.R.3
  • 24
    • 0027156179 scopus 로고
    • 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
    • EVANS, A. M., HUSSEIN, Z. & ROWLAND, M. (1993) 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.
    • (1993) J. Pharm. Sci. , vol.82 , pp. 421-428
    • Evans, A.M.1    Hussein, Z.2    Rowland, M.3
  • 25
    • 26944497236 scopus 로고    scopus 로고
    • Dispersion in core-annular flow with a solid annulus
    • FALLON, M. S. & CHAUHAN, A. (2005) Dispersion in core-annular flow with a solid annulus. AICHE J., 51, 2415-2427.
    • (2005) AICHE J , vol.51 , pp. 2415-2427
    • Fallon, M.S.1    Chauhan, A.2
  • 28
    • 0014894434 scopus 로고
    • Exact analysis of unsteady convective diffusion
    • GILL, W. N. & SANKARAS, R. (1970) Exact analysis of unsteady convective diffusion. Proc. R. Soc. Lond. Ser. A, 316, 341-350.
    • (1970) Proc. R. Soc. Lond. Ser. A , vol.316 , pp. 341-350
    • Gill, W.N.1    Sankaras, R.2
  • 29
    • 0020794767 scopus 로고
    • Kinetic interpretation of hepatic multiple-indicator dilution studies
    • GORESKY, C. A. (1983) Kinetic interpretation of hepatic multiple-indicator dilution studies. Am. J. Physiol., 245, G1-G12.
    • (1983) Am. J. Physiol. , vol.245
    • Goresky, C.A.1
  • 31
    • 0022684662 scopus 로고
    • Convection-dispersion modeling of hepatic elimination
    • HIRAI, S. (1986) Convection-dispersion modeling of hepatic elimination. J. Pharm. Sci., 75, 321-322.
    • (1986) J. Pharm. Sci. , vol.75 , pp. 321-322
    • Hirai, S.1
  • 32
    • 0032423390 scopus 로고    scopus 로고
    • Analysis of nonlinear and nonsteady state hepatic extraction with the dispersion model using the finite difference method
    • HISAKA, A. & SUGIYAMA, Y. (1998) Analysis of nonlinear and nonsteady state hepatic extraction with the dispersion model using the finite difference method. J. Pharmacokinet. Biopharm., 26, 495-519.
    • (1998) J. Pharmacokinet. Biopharm. , vol.26 , pp. 495-519
    • Hisaka, A.1    Sugiyama, Y.2
  • 33
    • 84911539247 scopus 로고
    • The number and distribution of capillaries in muscles with calculations of the oxygen pressure head necessary for supplying the tissue
    • KROGH, A. (1919) The number and distribution of capillaries in muscles with calculations of the oxygen pressure head necessary for supplying the tissue. J. Physiol., 52, 409-415.
    • (1919) J. Physiol. , vol.52 , pp. 409-415
    • Krogh, A.1
  • 36
    • 0015262136 scopus 로고
    • Capillary-tissue exchange kinetics-an analysis of the Krogh cylinder model
    • LEVITT, D. G. (1972) Capillary-tissue exchange kinetics-an analysis of the Krogh cylinder model. J. Theor. Biol., 34, 103-124.
    • (1972) J. Theor. Biol. , vol.34 , pp. 103-124
    • Levitt, D.G.1
  • 38
    • 33748359389 scopus 로고
    • Capillaries and lymphatic vessels
    • (V. B. Mountcastle ed.). Saint Louis, MO: Mosby
    • MILNOR, R. R. (1980) Capillaries and lymphatic vessels. Medical Physiology (V. B. Mountcastle ed.). Saint Louis, MO: Mosby, pp. 1085-1093.
    • (1980) Medical Physiology , pp. 1085-1093
    • Milnor, R.R.1
  • 40
    • 0031412577 scopus 로고    scopus 로고
    • A physiologically based pharmacokinetic model incorporating dispersion principles to describe solute distribution in the perfused rat hindlimb preparation
    • OLIVER, R. E., HEATHERINGTON, A. C., JONES, A. F. & ROWLAND, M. (1997) A physiologically based pharmacokinetic model incorporating dispersion principles to describe solute distribution in the perfused rat hindlimb preparation. J. Pharmacokinet. Biopharm., 25, 389-412.
    • (1997) J. Pharmacokinet. Biopharm. , vol.25 , pp. 389-412
    • Oliver, R.E.1    Heatherington, A.C.2    Jones, A.F.3    Rowland, M.4
  • 41
    • 0034982023 scopus 로고    scopus 로고
    • A whole-body physiologically based pharmacokinetic model incorporating dispersion concepts: short and long time characteristics
    • OLIVER, R. E., JONES, A. F. & ROWLAND, M. (2001) A whole-body physiologically based pharmacokinetic model incorporating dispersion concepts: short and long time characteristics. J. Pharmacokinet. Pharmacodyn., 28, 27-55.
    • (2001) J. Pharmacokinet. Pharmacodyn. , vol.28 , pp. 27-55
    • Oliver, R.E.1    Jones, A.F.2    Rowland, M.3
  • 42
    • 0025950373 scopus 로고
    • Modeling the effect of flow heterogeneity on coronary permeability-surface area
    • OVERHOLSER, K. A., BHATTE, M. J. & LAUGHLIN, H. (1991) Modeling the effect of flow heterogeneity on coronary permeability-surface area. J. Appl. Physiol., 71, 758-769.
    • (1991) J. Appl. Physiol. , vol.71 , pp. 758-769
    • Overholser, K.A.1    Bhatte, M.J.2    Laughlin, H.3
  • 43
    • 0034971169 scopus 로고    scopus 로고
    • Effect of anemia on cardiac function, microvascular structure, and capillary hematocrit in rat hearts
    • RAKUSAN, K., CICUTTI, N. & KOLAR, F. (2001) Effect of anemia on cardiac function, microvascular structure, and capillary hematocrit in rat hearts. Am. J. Physiol. Heart Circ. Physiol., 280, H1407-H1414.
    • (2001) Am. J. Physiol. Heart Circ. Physiol. , vol.280
    • Rakusan, K.1    Cicutti, N.2    Kolar, F.3
  • 44
    • 0023933009 scopus 로고
    • 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 on hepatic elimination
    • ROBERTS, M. S., DONALDSON, J. & ROWLAND, M. (1988) 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 on hepatic elimination. J. Pharmacokinet. Biopharm., 16, 41-83.
    • (1988) J. Pharmacokinet. Biopharm. , vol.16 , pp. 41-83
    • Roberts, M.S.1    Donaldson, J.2    Rowland, M.3
  • 45
    • 0022609024 scopus 로고
    • Correlation between in-vitro microsomal enzyme activity and whole organ hepatic elimination kinetics: analysis with a dispersion model
    • ROBERTS, M. S. & ROWLAND, M. (1986) Correlation between in-vitro microsomal enzyme activity and whole organ hepatic elimination kinetics: analysis with a dispersion model. J. Pharm. Pharmacol., 38, 117-181.
    • (1986) J. Pharm. Pharmacol. , vol.38 , pp. 117-181
    • Roberts, M.S.1    Rowland, M.2
  • 48
    • 51249195777 scopus 로고
    • Mathematical derivation of the exchange of a labeled substance between a liquid flowing in a vessel and an external compartment
    • SANGREEN, W. C. & SHEPPARD, C. W. (1953) Mathematical derivation of the exchange of a labeled substance between a liquid flowing in a vessel and an external compartment. Bull. Math. Biophys., 15, 387-394.
    • (1953) Bull. Math. Biophys. , vol.15 , pp. 387-394
    • Sangreen, W.C.1    Sheppard, C.W.2
  • 49
    • 0033665191 scopus 로고    scopus 로고
    • The multiple indicator dilution method and its utility in risk assessment
    • SCHWAB, A. J. & PANG, K. S. (2000) The multiple indicator dilution method and its utility in risk assessment. Environ. Health Perspect., 108, 861-872.
    • (2000) Environ. Health Perspect. , vol.108 , pp. 861-872
    • Schwab, A.J.1    Pang, K.S.2
  • 50
    • 0034891271 scopus 로고    scopus 로고
    • Precise determination of aortic length in patients with aortic stent grafts: in vivo evaluation of a thinning algorithm applied to CT angiography data
    • SHIN, H., CHAVAN, A., WITTHUS, F., SELLE, D., STAMM, G., PEITGEN, H. O. & GALANSKI, M. (2001) Precise determination of aortic length in patients with aortic stent grafts: in vivo evaluation of a thinning algorithm applied to CT angiography data. Eur. Radiol., 11, 733-738.
    • (2001) Eur. Radiol. , vol.11 , pp. 733-738
    • Shin, H.1    Chavan, A.2    Witthus, F.3    Selle, D.4    Stamm, G.5    Peitgen, H.O.6    Galanski, M.7
  • 52
    • 0037635943 scopus 로고    scopus 로고
    • Diffusion of nerve growth factor in rat striatum as determined by multiphoton microscopy
    • STROH, M., ZIPFEL, W. R., WILLIAMS, R. M., WEBB, W. W. & SALTZMAN, W. M. (2003) Diffusion of nerve growth factor in rat striatum as determined by multiphoton microscopy. Biophys. J., 85, 581-588.
    • (2003) Biophys. J. , vol.85 , pp. 581-588
    • Stroh, M.1    Zipfel, W.R.2    Williams, R.M.3    Webb, W.W.4    Saltzman, W.M.5
  • 53
    • 0018233757 scopus 로고
    • Transient convective mass transfer in Krogh tissue cylinders
    • TEPPER, R. S., LEE, H. L. & LIGHTFOOT, E. N. (1978) Transient convective mass transfer in Krogh tissue cylinders. Ann. Biomed. Eng., 6, 506-530.
    • (1978) Ann. Biomed. Eng. , vol.6 , pp. 506-530
    • Tepper, R.S.1    Lee, H.L.2    Lightfoot, E.N.3
  • 54
    • 0032981953 scopus 로고    scopus 로고
    • Kinetic aspects of drug disposition in the lungs
    • UPTON, R. N. & DOOLETTE, D. J. (1999) Kinetic aspects of drug disposition in the lungs. Clin. Exp. Pharmacol. Physiol., 26, 381-391.
    • (1999) Clin. Exp. Pharmacol. Physiol. , vol.26 , pp. 381-391
    • Upton, R.N.1    Doolette, D.J.2
  • 56
    • 0033493479 scopus 로고    scopus 로고
    • Cellular pharmacokinetics: effects of cytoplasmic diffusion and binding on organ transit time distribution
    • WEISS, M. (1999) Cellular pharmacokinetics: effects of cytoplasmic diffusion and binding on organ transit time distribution. J. Pharmacokinet. Biopharm., 27, 233-256.
    • (1999) J. Pharmacokinet. Biopharm. , vol.27 , pp. 233-256
    • Weiss, M.1
  • 57
    • 33746801908 scopus 로고    scopus 로고
    • Transit time dispersion in pulmonary and systemic circulation: effects of cardiac output and solute diffusivity
    • WEISS, M., KREJCIE, T. C. & AVRAM, M. J. (2006) Transit time dispersion in pulmonary and systemic circulation: effects of cardiac output and solute diffusivity. Am. J. Physiol. Heart C., 291, H861-H870.
    • (2006) Am. J. Physiol. Heart C. , vol.291
    • Weiss, M.1    Krejcie, T.C.2    Avram, M.J.3
  • 58
    • 0029759461 scopus 로고    scopus 로고
    • Tissue distribution kinetics as determinant of transit time dispersion of drugs in organs: application of a stochastic model to the rat hindlimb
    • WEISS, M. & ROBERTS, M. S. (1996) Tissue distribution kinetics as determinant of transit time dispersion of drugs in organs: application of a stochastic model to the rat hindlimb. J. Pharmacokinet. Biopharm., 24, 173-196.
    • (1996) J. Pharmacokinet. Biopharm. , vol.24 , pp. 173-196
    • Weiss, M.1    Roberts, M.S.2
  • 59
    • 0024328692 scopus 로고
    • Two-compartment dispersion model for analysis of organ perfusion system of drugs by fast inverse Laplace transform (FILT)
    • YANO, Y., YAMAOKA, K., AOYAMA, Y. & TANAKA, H. (1989) Two-compartment dispersion model for analysis of organ perfusion system of drugs by fast inverse Laplace transform (FILT). J. Pharmacokinet. Biopharm., 17, 179-202.
    • (1989) J. Pharmacokinet. Biopharm. , vol.17 , pp. 179-202
    • Yano, Y.1    Yamaoka, K.2    Aoyama, Y.3    Tanaka, H.4


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