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Volumn 12, Issue , 2004, Pages 3-127

Mathematical Modelling and Numerical Simulation of the Cardiovascular System

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EID: 67649671720     PISSN: 15708659     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S1570-8659(03)12001-7     Document Type: Review
Times cited : (182)

References (70)
  • 1
    • 0001652899 scopus 로고    scopus 로고
    • Convergence analysis of a finite element projection/Lagrange-Galerkin method for the incompressible Navier-Stokes equations
    • Achdou Y., and Guermond J.L. Convergence analysis of a finite element projection/Lagrange-Galerkin method for the incompressible Navier-Stokes equations. SIAM J. Numer. Anal. 37 3 (2000) 799-826
    • (2000) SIAM J. Numer. Anal. , vol.37 , Issue.3 , pp. 799-826
    • Achdou, Y.1    Guermond, J.L.2
  • 4
    • 13944271327 scopus 로고    scopus 로고
    • On the existence of strong solutions to a coupled fluid-structure evolution problem
    • Beirão da Veiga H. On the existence of strong solutions to a coupled fluid-structure evolution problem. J. Math. Fluid Mech. 6 (2004) 21-52
    • (2004) J. Math. Fluid Mech. , vol.6 , pp. 21-52
    • Beirão da Veiga, H.1
  • 5
    • 0031430049 scopus 로고    scopus 로고
    • A high-order characteristics/finite element method for the incompressible Navier-Stokes equations
    • Boukir K., Maday Y., Métivet B., and Razafindrakoto E. A high-order characteristics/finite element method for the incompressible Navier-Stokes equations. Internat. J. Numer. Methods Fluids 25 12 (1997) 1421-1454
    • (1997) Internat. J. Numer. Methods Fluids , vol.25 , Issue.12 , pp. 1421-1454
    • Boukir, K.1    Maday, Y.2    Métivet, B.3    Razafindrakoto, E.4
  • 8
    • 0011765054 scopus 로고    scopus 로고
    • Blood flow through compliant vessels after endovascular repair: wall deformations induced by the discontinuous wall properties
    • Canic S. Blood flow through compliant vessels after endovascular repair: wall deformations induced by the discontinuous wall properties. Comput. Visual. Sci. 4 3 (2002) 147-155
    • (2002) Comput. Visual. Sci. , vol.4 , Issue.3 , pp. 147-155
    • Canic, S.1
  • 9
    • 0141749404 scopus 로고    scopus 로고
    • Mathematical analysis of the quasilinear effects in a hyperbolic model of blood flow through compliant axi-symmetric vessels
    • Canic S., and Kim E. Mathematical analysis of the quasilinear effects in a hyperbolic model of blood flow through compliant axi-symmetric vessels. Math. Methods Appl. Sci. 26 14 (2003) 1161-1186
    • (2003) Math. Methods Appl. Sci. , vol.26 , Issue.14 , pp. 1161-1186
    • Canic, S.1    Kim, E.2
  • 10
    • 33745457614 scopus 로고
    • Springer-Verlag, New York
    • Chorin A.J., and Marsden J.E. A Mathematical Introduction to Fluid Mechanics. third ed. Texts Appl. Math. vol. 4 (1990), Springer-Verlag, New York
    • (1990) Texts Appl. Math. , vol.4
    • Chorin, A.J.1    Marsden, J.E.2
  • 11
    • 67649636800 scopus 로고
    • North-Holland, Amsterdam
    • Ciarlet P.G. Mathematical Elasticity, Volume I: Three-Dimensional Elasticity. Stud. Math. Appl. vol. 20 (1988), North-Holland, Amsterdam
    • (1988) Stud. Math. Appl. , vol.20
    • Ciarlet, P.G.1
  • 14
    • 0003046746 scopus 로고
    • The rheology and tube flow of blood
    • Skalak R., and Chen S. (Eds), McGraw-Hill, New York
    • Cokelet G.R. The rheology and tube flow of blood. In: Skalak R., and Chen S. (Eds). Handbook of Bioengineering (1987), McGraw-Hill, New York
    • (1987) Handbook of Bioengineering
    • Cokelet, G.R.1
  • 17
    • 0034140207 scopus 로고    scopus 로고
    • Two efficient staggered algorithms for the serial and parallel solution of three-dimensional nonlinear transient aeroelastic problems
    • Farhat C., and Lesoinne M. Two efficient staggered algorithms for the serial and parallel solution of three-dimensional nonlinear transient aeroelastic problems. Comput. Methods Appl. Mech. Engrg. 182 (2000) 499-515
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.182 , pp. 499-515
    • Farhat, C.1    Lesoinne, M.2
  • 18
    • 0029138959 scopus 로고
    • Mixed explicit/implicit time integration of coupled aeroelastic problems: three-field formulation, geometry conservation and distributed solution
    • Farhat C., Lesoinne M., and Maman N. Mixed explicit/implicit time integration of coupled aeroelastic problems: three-field formulation, geometry conservation and distributed solution. Internat. J. Numer. Methods Fluids 21 (1995) 807-835
    • (1995) Internat. J. Numer. Methods Fluids , vol.21 , pp. 807-835
    • Farhat, C.1    Lesoinne, M.2    Maman, N.3
  • 19
    • 0035824658 scopus 로고    scopus 로고
    • On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels
    • Formaggia L., Gerbeau J.-F., Nobile F., and Quarteroni A. On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels. Comput. Methods Appl. Mech. Engrg. 191 (2001) 561-582
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.191 , pp. 561-582
    • Formaggia, L.1    Gerbeau, J.-F.2    Nobile, F.3    Quarteroni, A.4
  • 20
    • 0036556662 scopus 로고    scopus 로고
    • Numerical treatment of defective boundary conditions for Navier-Stokes equations
    • Formaggia L., Gerbeau J.-F., Nobile F., and Quarteroni A. Numerical treatment of defective boundary conditions for Navier-Stokes equations. SIAM J. Numer. Anal. 40 1 (2002) 376-401
    • (2002) SIAM J. Numer. Anal. , vol.40 , Issue.1 , pp. 376-401
    • Formaggia, L.1    Gerbeau, J.-F.2    Nobile, F.3    Quarteroni, A.4
  • 21
    • 0942268686 scopus 로고    scopus 로고
    • One-dimensional models for blood flow in arteries
    • Formaggia L., Lamponi D., and Quarteroni A. One-dimensional models for blood flow in arteries. J. Engrg. Math. 47 (2003) 251-276
    • (2003) J. Engrg. Math. , vol.47 , pp. 251-276
    • Formaggia, L.1    Lamponi, D.2    Quarteroni, A.3
  • 22
    • 0032650723 scopus 로고    scopus 로고
    • A stability analysis for the Arbitrary Lagrangian Eulerian formulation with finite elements
    • Formaggia L., and Nobile F. A stability analysis for the Arbitrary Lagrangian Eulerian formulation with finite elements. East-West J. Numer. Math. 7 (1999) 105-131
    • (1999) East-West J. Numer. Math. , vol.7 , pp. 105-131
    • Formaggia, L.1    Nobile, F.2
  • 23
    • 0242478923 scopus 로고    scopus 로고
    • A one-dimensional model for blood flow: application to vascular prosthesis
    • Mathematical Modeling and Numerical Simulation in Continuum Mechanics. Babuska I., Miyoshi T., and Ciarlet P.G. (Eds), Springer-Verlag, Berlin
    • Formaggia L., Nobile F., and Quarteroni A. A one-dimensional model for blood flow: application to vascular prosthesis. In: Babuska I., Miyoshi T., and Ciarlet P.G. (Eds). Mathematical Modeling and Numerical Simulation in Continuum Mechanics. Lect. Notes Comput. Sci. Eng. vol. 19 (2002), Springer-Verlag, Berlin 137-153
    • (2002) Lect. Notes Comput. Sci. Eng. , vol.19 , pp. 137-153
    • Formaggia, L.1    Nobile, F.2    Quarteroni, A.3
  • 27
    • 0034930744 scopus 로고    scopus 로고
    • A priori error estimates for the arbitrary Lagrangian Eulerian formulation with finite elements
    • Gastaldi L. A priori error estimates for the arbitrary Lagrangian Eulerian formulation with finite elements. East-West J. Numer. Math. 9 2 (2001) 123-156
    • (2001) East-West J. Numer. Math. , vol.9 , Issue.2 , pp. 123-156
    • Gastaldi, L.1
  • 28
    • 0003507785 scopus 로고
    • Springer-Verlag, Berlin
    • Girault V., and Raviart P.-A. Finite Element Methods for Navier-Stokes Equations, Theory and Algorithms. Springer Ser. Comput. Math. vol. 5 (1986), Springer-Verlag, Berlin
    • (1986) Springer Ser. Comput. Math. , vol.5
    • Girault, V.1    Raviart, P.-A.2
  • 29
    • 0003828736 scopus 로고    scopus 로고
    • Springer-Verlag, New York
    • Godlewski E., and Raviart P.-A. Numerical Approximation of Hyperbolic Systems of Conservation Laws. Appl. Math. Sci. vol. 118 (1996), Springer-Verlag, New York
    • (1996) Appl. Math. Sci. , vol.118
    • Godlewski, E.1    Raviart, P.-A.2
  • 30
    • 0035638389 scopus 로고    scopus 로고
    • Numerical analysis of some decoupling techniques for the approximation of the unsteady fluid structure interaction
    • Grandmont C., Guimet V., and Maday Y. Numerical analysis of some decoupling techniques for the approximation of the unsteady fluid structure interaction. Math. Models Methods Appl. Sci. 11 8 (2001) 1349-1377
    • (2001) Math. Models Methods Appl. Sci. , vol.11 , Issue.8 , pp. 1349-1377
    • Grandmont, C.1    Guimet, V.2    Maday, Y.3
  • 31
    • 33846282108 scopus 로고    scopus 로고
    • Nonconforming grids for the simulation of fluid-structure interaction
    • Domain Decomposition Methods 10. Boulder, CO, 1997, Amer. Math. Soc, Providence, RI
    • Grandmont C., and Maday Y. Nonconforming grids for the simulation of fluid-structure interaction. Domain Decomposition Methods 10. Boulder, CO, 1997. Contemp. Math. vol. 218 (1998), Amer. Math. Soc, Providence, RI 262-270
    • (1998) Contemp. Math. , vol.218 , pp. 262-270
    • Grandmont, C.1    Maday, Y.2
  • 32
    • 0005312964 scopus 로고    scopus 로고
    • Fluid structure interaction: a theoretical point of view
    • Dervieux A. (Ed), Hermes Science
    • Grandmont C., and Maday Y. Fluid structure interaction: a theoretical point of view. In: Dervieux A. (Ed). Revue européenne des éléments finis vol. 9 (2000), Hermes Science 633-653
    • (2000) Revue européenne des éléments finis , vol.9 , pp. 633-653
    • Grandmont, C.1    Maday, Y.2
  • 33
    • 0038934567 scopus 로고    scopus 로고
    • Un résultat de convergence d'ordre deux en temps pour l'approximation des équations de Navier-Stokes par une technique de projection incrémentale
    • Guermond J.-L. Un résultat de convergence d'ordre deux en temps pour l'approximation des équations de Navier-Stokes par une technique de projection incrémentale. M2AN Math. Model. Numer. Anal. 33 1 (1999) 169-189
    • (1999) M2AN Math. Model. Numer. Anal. , vol.33 , Issue.1 , pp. 169-189
    • Guermond, J.-L.1
  • 34
    • 0034352045 scopus 로고    scopus 로고
    • On the significance of the geometric conservation law for flow computations on moving meshes
    • Guillard H., and Farhat C. On the significance of the geometric conservation law for flow computations on moving meshes. Comput. Methods Appl. Mech. Engrg. 190 11-12 (2000) 1467-1482
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.190 , Issue.11-12 , pp. 1467-1482
    • Guillard, H.1    Farhat, C.2
  • 35
    • 0018898430 scopus 로고
    • Stiffness and elastic behaviour of human intracranial and extracranial arteries
    • Hayashi K., Handa K., Nagasawa S., and Okumura A. Stiffness and elastic behaviour of human intracranial and extracranial arteries. J. Biomech. 13 (1980) 175-184
    • (1980) J. Biomech. , vol.13 , pp. 175-184
    • Hayashi, K.1    Handa, K.2    Nagasawa, S.3    Okumura, A.4
  • 36
    • 0000431695 scopus 로고
    • Nonreflecting boundary conditions for nonlinear hyperbolic systems
    • Hedstrom G.W. Nonreflecting boundary conditions for nonlinear hyperbolic systems. J. Comput. Phys. 30 (1979) 222-237
    • (1979) J. Comput. Phys. , vol.30 , pp. 222-237
    • Hedstrom, G.W.1
  • 37
    • 0034434740 scopus 로고    scopus 로고
    • A new constitutive framework for arterial wall mechanics and a comparative study of material models
    • Holzapfel G.A., Gasser T.C., and Ogden R.W. A new constitutive framework for arterial wall mechanics and a comparative study of material models. J. Elasticity 61 (2000) 1-48
    • (2000) J. Elasticity , vol.61 , pp. 1-48
    • Holzapfel, G.A.1    Gasser, T.C.2    Ogden, R.W.3
  • 38
    • 0022810283 scopus 로고
    • A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuska Brezzi condition: a stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolation
    • Hughes T.J., Franca L.P., and Balestra M. A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuska Brezzi condition: a stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolation. Comput. Methods Appl. Mech. Engrg. 59 (1986) 85-99
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.59 , pp. 85-99
    • Hughes, T.J.1    Franca, L.P.2    Balestra, M.3
  • 39
    • 0021249532 scopus 로고
    • The elastic properties of 45 human thoracic and 20 abdominal aortas in vitro and the parameters of a new model
    • Langewouters G.L., Wesseling K.H., and Goedhard W.J.A. The elastic properties of 45 human thoracic and 20 abdominal aortas in vitro and the parameters of a new model. J. Biomech. 17 (1984) 425-435
    • (1984) J. Biomech. , vol.17 , pp. 425-435
    • Langewouters, G.L.1    Wesseling, K.H.2    Goedhard, W.J.A.3
  • 40
    • 67649668126 scopus 로고
    • SIAM, Philadelphia, PA
    • Lax P.D. Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves. Ser. Appl. Math. vol. 11 (1973), SIAM, Philadelphia, PA
    • (1973) Ser. Appl. Math. , vol.11
    • Lax, P.D.1
  • 41
    • 0035793736 scopus 로고    scopus 로고
    • Fluid structure interaction with large structural displacements
    • Le Tallec P., and Mouro J. Fluid structure interaction with large structural displacements. Comput. Methods Appl. Mech. Engrg. 190 (2001) 3039-3067
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 3039-3067
    • Le Tallec, P.1    Mouro, J.2
  • 44
    • 20344364628 scopus 로고    scopus 로고
    • Global mathematical modeling of the norwood circulation: A multiscale approach for the study of pulmonary and coronary perfusions
    • In press
    • Migliavacca, F., Laganá, K., Pennati, G., de Leval, M., Bove, E., Dubini, G. (2004). Global mathematical modeling of the norwood circulation: a multiscale approach for the study of pulmonary and coronary perfusions. Cardiology in the Young. In press
    • (2004) Cardiology in the Young
    • Migliavacca, F.1    Laganá, K.2    Pennati, G.3    de Leval, M.4    Bove, E.5    Dubini, G.6
  • 45
    • 67649671298 scopus 로고    scopus 로고
    • Nobile, F. (2001). Numerical approximation of fluid-structure interaction problems with application to hemodynamics. PhD thesis, École Polytechnique Fédérale de Lausanne (EPFL), thesis N. 2458
    • Nobile, F. (2001). Numerical approximation of fluid-structure interaction problems with application to hemodynamics. PhD thesis, École Polytechnique Fédérale de Lausanne (EPFL), thesis N. 2458
  • 46
    • 0002615718 scopus 로고
    • An analysis of the fractional step method
    • Perot B. An analysis of the fractional step method. J. Comput. Phys. 108 (1993) 51-58
    • (1993) J. Comput. Phys. , vol.108 , pp. 51-58
    • Perot, B.1
  • 47
    • 84893350477 scopus 로고    scopus 로고
    • From the global cardiovascular hemodynamics down to the local blood motion: preliminary applications of a multiscale approach
    • Oñate E., et al. (Ed). Barcelona
    • Pietrabissa R., Quarteroni A., Dubini G., Veneziani A., Migliavacca F., and Ragni S. From the global cardiovascular hemodynamics down to the local blood motion: preliminary applications of a multiscale approach. In: Oñate E., et al. (Ed). ECCOMAS 2000. Barcelona (2000)
    • (2000) ECCOMAS 2000
    • Pietrabissa, R.1    Quarteroni, A.2    Dubini, G.3    Veneziani, A.4    Migliavacca, F.5    Ragni, S.6
  • 48
    • 0035793728 scopus 로고    scopus 로고
    • Piperno S., and Farhat C. Partitione procedures for the transient solution of coupled aeroelastic problems. Part ii: energy transfer and three-dimensional applications. Comput. Methods Appl. Mech. Engrg. 190 (2001) 3147-3170
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 3147-3170
    • Piperno, S.1    Farhat, C.2
  • 50
    • 84892367203 scopus 로고    scopus 로고
    • Coupling between lumped and distributed models for blood problems
    • Quarteroni A., Ragni S., and Veneziani A. Coupling between lumped and distributed models for blood problems. Comput. Visual. Sci. 4 (2001) 111-124
    • (2001) Comput. Visual. Sci. , vol.4 , pp. 111-124
    • Quarteroni, A.1    Ragni, S.2    Veneziani, A.3
  • 51
    • 0033542258 scopus 로고    scopus 로고
    • Analysis of the Yosida method for the incompressible Navier-Stokes equations
    • Quarteroni A., Saleri F., and Veneziani A. Analysis of the Yosida method for the incompressible Navier-Stokes equations. J. Math. Pure Appl. 78 (1999) 473-503
    • (1999) J. Math. Pure Appl. , vol.78 , pp. 473-503
    • Quarteroni, A.1    Saleri, F.2    Veneziani, A.3
  • 52
    • 0034234056 scopus 로고    scopus 로고
    • Factorization methods for the numerical approximation of the incompressible Navier-Stokes equations
    • Quarteroni A., Saleri F., and Veneziani A. Factorization methods for the numerical approximation of the incompressible Navier-Stokes equations. Comput. Methods Appl. Mech. Engrg. 188 (2000) 505-526
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.188 , pp. 505-526
    • Quarteroni, A.1    Saleri, F.2    Veneziani, A.3
  • 53
    • 84902343352 scopus 로고    scopus 로고
    • Computational vascular fluid dynamics: Problems, models and methods
    • Quarteroni A., Tuveri M., and Veneziani A. Computational vascular fluid dynamics: Problems, models and methods. Comput. Visual. Sci. 2 (2000) 163-197
    • (2000) Comput. Visual. Sci. , vol.2 , pp. 163-197
    • Quarteroni, A.1    Tuveri, M.2    Veneziani, A.3
  • 56
    • 85006589834 scopus 로고    scopus 로고
    • Analysis of a geometrical multiscale model based on the coupling of ODE's and PDE's for blood flow simulations
    • Quarteroni A., and Veneziani A. Analysis of a geometrical multiscale model based on the coupling of ODE's and PDE's for blood flow simulations. Multiscale Model. Simul. 1 2 (2003) 173-195
    • (2003) Multiscale Model. Simul. , vol.1 , Issue.2 , pp. 173-195
    • Quarteroni, A.1    Veneziani, A.2
  • 57
    • 0036411415 scopus 로고    scopus 로고
    • Mathematical and numerical modelling of solute dynamics in blood flow and arterial walls
    • Quarteroni A., Veneziani A., and Zunino P. Mathematical and numerical modelling of solute dynamics in blood flow and arterial walls. SIAM J. Numer. Anal. 39 5 (2002) 1488-1511
    • (2002) SIAM J. Numer. Anal. , vol.39 , Issue.5 , pp. 1488-1511
    • Quarteroni, A.1    Veneziani, A.2    Zunino, P.3
  • 58
    • 0001634191 scopus 로고
    • Mechanics of non-Newtonian fluids
    • Recent Developments in Theoretical Fluid Mechanics. Galdi G., and Necas J. (Eds), Longman, Harlow
    • Rajagopal K.R. Mechanics of non-Newtonian fluids. In: Galdi G., and Necas J. (Eds). Recent Developments in Theoretical Fluid Mechanics. Pitman Res. Notes Math. Ser. vol. 291 (1993), Longman, Harlow
    • (1993) Pitman Res. Notes Math. Ser. , vol.291
    • Rajagopal, K.R.1
  • 59
    • 0030298422 scopus 로고    scopus 로고
    • Pulsatile albumin transport in large arteries: a numerical simulation study
    • Rappitsch G., and Perktold K. Pulsatile albumin transport in large arteries: a numerical simulation study. ASME J. Biomech. Eng. 118 (1996) 511-519
    • (1996) ASME J. Biomech. Eng. , vol.118 , pp. 511-519
    • Rappitsch, G.1    Perktold, K.2
  • 62
    • 0000286944 scopus 로고
    • Mathematical principles of classical fluid mechanics
    • Flugge S., and Truesdell C. (Eds), Springer-Verlag, Berlin
    • Serrin J. Mathematical principles of classical fluid mechanics. In: Flugge S., and Truesdell C. (Eds). Handbuch der Physik, VIII/1 (1959), Springer-Verlag, Berlin
    • (1959) Handbuch der Physik, VIII/1
    • Serrin, J.1
  • 63
    • 0024619943 scopus 로고
    • On a stress resultant geometrically exact shell model, Part I: formulation and optimal parametrization
    • Simo J.C., and Fox D.D. On a stress resultant geometrically exact shell model, Part I: formulation and optimal parametrization. Comput. Methods Appl. Mech. Engrg. 72 (1989) 267-304
    • (1989) Comput. Methods Appl. Mech. Engrg. , vol.72 , pp. 267-304
    • Simo, J.C.1    Fox, D.D.2
  • 64
    • 0024641220 scopus 로고
    • On a stress resultant geometrically exact shell model, Part II: the linear theory; computational aspects
    • Simo J.C., Fox D.D., and Rifai M.S. On a stress resultant geometrically exact shell model, Part II: the linear theory; computational aspects. Comput. Methods Appl. Mech. Engrg. 73 (1989) 53-92
    • (1989) Comput. Methods Appl. Mech. Engrg. , vol.73 , pp. 53-92
    • Simo, J.C.1    Fox, D.D.2    Rifai, M.S.3
  • 65
    • 0036302210 scopus 로고    scopus 로고
    • An anatomically based model of coronary blood flow and myocardial mechanics
    • Smith N., Pullan A., and Hunter P. An anatomically based model of coronary blood flow and myocardial mechanics. SIAM J. Appl. Math. 62 3 (2003) 990-1018
    • (2003) SIAM J. Appl. Math. , vol.62 , Issue.3 , pp. 990-1018
    • Smith, N.1    Pullan, A.2    Hunter, P.3
  • 68
    • 0002483755 scopus 로고
    • Time dependent boundary conditions for hyperbolic systems
    • Thompson K.W. Time dependent boundary conditions for hyperbolic systems. J. Comput. Phys. 68 (1987) 1-24
    • (1987) J. Comput. Phys. , vol.68 , pp. 1-24
    • Thompson, K.W.1
  • 70
    • 55249091059 scopus 로고
    • Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known
    • Womersley J.R. Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known. J. Physiol. 127 (1955) 553-563
    • (1955) J. Physiol. , vol.127 , pp. 553-563
    • Womersley, J.R.1


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