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Volumn 21, Issue 7, 1997, Pages 419-426

A two-layer model for studying the effect of plasma layer on the delivery of oxygen to tissue using a finite element method

Author keywords

Computer simulation; Finite element method; Mathematical model; Oxygen transport; Systemic capillaries; Tissue PO2; Two phase flow

Indexed keywords

BLOOD; CAPILLARY FLOW; COMPUTER SIMULATION; DIFFUSION IN LIQUIDS; FINITE ELEMENT METHOD; HEMODYNAMICS; ITERATIVE METHODS; MATHEMATICAL MODELS; METABOLISM; NONLINEAR EQUATIONS; OXYGEN; TISSUE;

EID: 0031184465     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0307-904X(97)00035-8     Document Type: Article
Times cited : (14)

References (36)
  • 4
    • 0019195078 scopus 로고
    • Flow of blood through narrow capillaries: Rheological mechanisms determining capillary haematocrit and apparent viscosity
    • Gaehtgens, P. Flow of blood through narrow capillaries: Rheological mechanisms determining capillary haematocrit and apparent viscosity. Biorheology 1980, 17, 183
    • (1980) Biorheology , vol.17 , pp. 183
    • Gaehtgens, P.1
  • 5
    • 0014266013 scopus 로고
    • Distribution of size and shape in population of normal human red cells
    • Canhan, P. B. and Burton, A. C. Distribution of size and shape in population of normal human red cells. Circ. Res. 1968, 22, 405
    • (1968) Circ. Res. , vol.22 , pp. 405
    • Canhan, P.B.1    Burton, A.C.2
  • 7
    • 0019456644 scopus 로고
    • Capillary flow, history, experiments and theory
    • Skalak, R. and Chien, S. Capillary flow, history, experiments and theory. Biorheology 1981, 18, 307
    • (1981) Biorheology , vol.18 , pp. 307
    • Skalak, R.1    Chien, S.2
  • 8
    • 0017953948 scopus 로고
    • Mathematical modelling of the microcirculation
    • Fletcher, J. E. Mathematical modelling of the microcirculation. Math. Biosci., 1978, 38, 159
    • (1978) Math. Biosci. , vol.38 , pp. 159
    • Fletcher, J.E.1
  • 9
    • 0023073164 scopus 로고
    • A numerical study of the nonsteady transport of gases in the pulmonary capillaries
    • Sharan, M., Aminataei, A., and Singh, M. P. A numerical study of the nonsteady transport of gases in the pulmonary capillaries. J. Math. Biol. 1987, 25, 433-452
    • (1987) J. Math. Biol. , vol.25 , pp. 433-452
    • Sharan, M.1    Aminataei, A.2    Singh, M.P.3
  • 10
    • 77957179285 scopus 로고
    • The process of gas exchange in the systemic circulation in hyperbaric environment - An analytical approach
    • Singh, M. P., Sharan, M., and Sud, I. The process of gas exchange in the systemic circulation in hyperbaric environment - an analytical approach. IMA J. Math. Appl. Med. Biol. 1988, 5, 281
    • (1988) IMA J. Math. Appl. Med. Biol. , vol.5 , pp. 281
    • Singh, M.P.1    Sharan, M.2    Sud, I.3
  • 11
    • 0024368187 scopus 로고
    • Theory of oxygen transport to tissue
    • Popel, A. S. Theory of oxygen transport to tissue. Crit. Rev. Biomed. Eng. 1989, 17, 257-321
    • (1989) Crit. Rev. Biomed. Eng. , vol.17 , pp. 257-321
    • Popel, A.S.1
  • 12
    • 0005754642 scopus 로고
    • Probabilistic solutions and models-oxygen transport in the brain microcirculation
    • J. F. Gross and A. Popel, Raven Press, New York
    • D. F. Bruley, Probabilistic solutions and models-oxygen transport in the brain microcirculation. Mathematics of Microcirculation Phenomena, J. F. Gross and A. Popel, Raven Press, New York, 1980, pp. 133
    • (1980) Mathematics of Microcirculation Phenomena , pp. 133
    • Bruley, D.F.1
  • 13
    • 0025935399 scopus 로고
    • 2 transport in the systemic circulation in a hyperbaric environment
    • 2 transport in the systemic circulation in a hyperbaric environment. Front. Med. Biol. Eng. 1991, 3, 27-44
    • (1991) Front. Med. Biol. Eng. , vol.3 , pp. 27-44
    • Sharan, M.1    Singh, M.P.2    Sud, I.3
  • 14
    • 0026568971 scopus 로고
    • The effects of chemical kinetics of the oxygen delivery to tissue
    • Sharan, M. and Selvakumar, S. The effects of chemical kinetics of the oxygen delivery to tissue. Math. Biosci. 108, 1992, 253-277
    • (1992) Math. Biosci. , vol.108 , pp. 253-277
    • Sharan, M.1    Selvakumar, S.2
  • 15
    • 0012025848 scopus 로고
    • Measures of blood rheology and erythrocyte mechanics
    • eds. G. R. Cokelet, H. J. Meiselman and D. E. Brooks, Kroc Foundation Series
    • Meiselman, H. J. Measures of blood rheology and erythrocyte mechanics. Erythrocyte Mechanics and Blood Flow, eds. G. R. Cokelet, H. J. Meiselman and D. E. Brooks, Kroc Foundation Series, Vol. 13, 1980, p. 75
    • (1980) Erythrocyte Mechanics and Blood Flow , vol.13 , pp. 75
    • Meiselman, H.J.1
  • 16
    • 0003046746 scopus 로고
    • The rheology and the tube flow of blood
    • eds. R. Skalak and S. Chien, McGraw Hill, New York
    • Cokelet, G. R. The rheology and the tube flow of blood. Handbook of Bioengineering, eds. R. Skalak and S. Chien, McGraw Hill, New York, 1987, pp. 14
    • (1987) Handbook of Bioengineering , pp. 14
    • Cokelet, G.R.1
  • 17
    • 0345759820 scopus 로고
    • Reactive hyperemia in capillaries of red and white skeletal muscle
    • Klabunde, R. E. and Johnson, P. C. Reactive hyperemia in capillaries of red and white skeletal muscle. Am. J. Physiol. 1977, 232, H 411
    • (1977) Am. J. Physiol. , vol.232
    • Klabunde, R.E.1    Johnson, P.C.2
  • 18
    • 0017689838 scopus 로고
    • Microvascular blood flow in cat tenuissimus muscle
    • Fronek, K. and Zweifach, B. W. Microvascular blood flow in cat tenuissimus muscle. Microvasc. Res. 1977, 14, 181
    • (1977) Microvasc. Res. , vol.14 , pp. 181
    • Fronek, K.1    Zweifach, B.W.2
  • 19
    • 0008964366 scopus 로고
    • The wall effect in capillary instruments
    • Thomas, H. W. The wall effect in capillary instruments. Biorheology 1967, 1, 41
    • (1967) Biorheology , vol.1 , pp. 41
    • Thomas, H.W.1
  • 21
    • 0025602535 scopus 로고
    • A numerical model for studying the effect of plasma layer on the process of blood oxygenation in the pulmonary capillaries
    • Sharan, M., Singh, M. P., and Aminataei, A. A numerical model for studying the effect of plasma layer on the process of blood oxygenation in the pulmonary capillaries. Trans. ASME J. Biomech. Eng. 1990, 112, 457-463
    • (1990) Trans. ASME J. Biomech. Eng. , vol.112 , pp. 457-463
    • Sharan, M.1    Singh, M.P.2    Aminataei, A.3
  • 22
    • 0022450093 scopus 로고
    • A theoretical analysis of the effect of the particulate nature of blood on oxygen release in capillaries
    • Federspiel, W. J. and Popel, A. S. A theoretical analysis of the effect of the particulate nature of blood on oxygen release in capillaries. Microvasc. Res. 1986, 32, 164
    • (1986) Microvasc. Res. , vol.32 , pp. 164
    • Federspiel, W.J.1    Popel, A.S.2
  • 23
    • 77957179885 scopus 로고
    • Finite element analysis of oxygen transport in the systemic capillaries
    • Sharan, M., Singh, B., Singh, M. P., and Kumar, P. Finite element analysis of oxygen transport in the systemic capillaries. IMA J. Math. Appl. Med. Biol. 1991, 8, 107-123
    • (1991) IMA J. Math. Appl. Med. Biol. , vol.8 , pp. 107-123
    • Sharan, M.1    Singh, B.2    Singh, M.P.3    Kumar, P.4
  • 24
    • 0043149468 scopus 로고
    • A mathematical model for the simultaneous transport of oxygen and carbon dioxide in the systemic capillaries and surrounding tissue in a hyperbaric environment with first order metabolism
    • Sharan, M., Singh, M. P., and Singh, B. A mathematical model for the simultaneous transport of oxygen and carbon dioxide in the systemic capillaries and surrounding tissue in a hyperbaric environment with first order metabolism. Nonlinear World 1, 1994, 255-276
    • (1994) Nonlinear World , vol.1 , pp. 255-276
    • Sharan, M.1    Singh, M.P.2    Singh, B.3
  • 25
    • 0014077788 scopus 로고
    • A theory of blood flow in small vessels
    • 1967
    • Whitmore, R. L. A theory of blood flow in small vessels. J. Appl. Physiol. 1967, 22, 767 (1967)
    • (1967) J. Appl. Physiol. , vol.22 , pp. 767
    • Whitmore, R.L.1
  • 26
    • 0024517293 scopus 로고
    • A mathematical formulation for the computation of oxygen dissociation curve in the human blood
    • Sharan, M., Singh, M. P., and Aminataei, A. A mathematical formulation for the computation of oxygen dissociation curve in the human blood. BioSystems 1989, 22, 249-260
    • (1989) Biosystems , vol.22 , pp. 249-260
    • Sharan, M.1    Singh, M.P.2    Aminataei, A.3
  • 29
    • 0002326963 scopus 로고
    • A mathematical simulation of oxygen release, diffusion and consumption in the capillaries and tissue of the human brain
    • D. Hershey, Plenum, New York
    • Reneau, D. D., Bruley, D. F., and Knisely, M. H. A mathematical simulation of oxygen release, diffusion and consumption in the capillaries and tissue of the human brain. Chemical Engineering in Medicine and Biology, D. Hershey, Plenum, New York, 1967, p. 135
    • (1967) Chemical Engineering in Medicine and Biology , pp. 135
    • Reneau, D.D.1    Bruley, D.F.2    Knisely, M.H.3
  • 30
    • 0014856889 scopus 로고
    • Capillary blood flow III - Deformable model cells compared to erythrocytes in-vitro
    • Seshadri, V., Hochmuth, R. M., Groce, P. A., and Sutera, S. P. Capillary blood flow III - Deformable model cells compared to erythrocytes in-vitro. Microvasc. Res. 1970, 2, 434
    • (1970) Microvasc. Res. , vol.2 , pp. 434
    • Seshadri, V.1    Hochmuth, R.M.2    Groce, P.A.3    Sutera, S.P.4
  • 31
    • 0011386815 scopus 로고
    • Analysis of oxygen and carbon dioxide transfer in membrane lungs
    • eds. W. H. Zapole and J. Quist, Academic Press, New York
    • Dorson, W. J. and Voorhees, M. E. Analysis of oxygen and carbon dioxide transfer in membrane lungs. Artificial Lungs for Acute Respiratory Failure, eds. W. H. Zapole and J. Quist, Academic Press, New York, 1976
    • (1976) Artificial Lungs for Acute Respiratory Failure
    • Dorson, W.J.1    Voorhees, M.E.2
  • 32
    • 0021507505 scopus 로고
    • Equivalence between one step kinetics and Hill's equation
    • Sharan, M. and Singh, M. P. Equivalence between one step kinetics and Hill's equation. J. Biomed. Eng. 1984, 6, 297
    • (1984) J. Biomed. Eng. , vol.6 , pp. 297
    • Sharan, M.1    Singh, M.P.2
  • 34
    • 0041646590 scopus 로고
    • Mathematical modelling of convective and diffusive transport in the microcirculation
    • eds. J. F. Gross and A. S. Popel, Raven Press, New York
    • Popel, A. S. Mathematical modelling of convective and diffusive transport in the microcirculation. Mathematics of Microcirculation Phenomena, eds. J. F. Gross and A. S. Popel, Raven Press, New York, 1980, pp. 63
    • (1980) Mathematics of Microcirculation Phenomena , pp. 63
    • Popel, A.S.1
  • 35
    • 0024076690 scopus 로고
    • A mathematical model of counter-current exchange of oxygen between paired arterioles and venules
    • Sharan, M. and Popel, A. S. A mathematical model of counter-current exchange of oxygen between paired arterioles and venules. Math. Biosci. 1988, 91, 17
    • (1988) Math. Biosci. , vol.91 , pp. 17
    • Sharan, M.1    Popel, A.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.