Computer Simulation of Intraventricular Flow and Pressure Gradients During Diastole

[+] Author and Article Information
J. A. Vierendeels, K. Riemslagh, E. Dick

Department of Flow, Heat, and Combustion Mechanics, Institute Biomedical Technology, Ghent University, St.-Pietersnieuwstraat 41, 9000 Ghent, Belgium

P. R. Verdonck

Hydraulics Laboratory, Institute Biomedical Technology, Ghent University, St.-Pietersnieuwstraat 41, 9000 Ghent, Belgium

J Biomech Eng 122(6), 667-674 (Jul 09, 2000) (8 pages) doi:10.1115/1.1318941 History: Received May 18, 1999; Revised July 09, 2000
Copyright © 2000 by ASME
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Ling,  D., Rankin,  J. S., Edwards,  C. H., McHale,  P. A., and Anderson,  R. W., 1979, “Regional Diastolic Mechanics of the Left Ventricle in the Conscious Dog,” Am. J. Physiol., 236, pp. 323–330.
Courtois,  M., Kovács,  S. J., and Ludbrook,  P. A., 1988, “Transmitral Pressure-Flow Velocity Relation: Importance of Regional Pressure Gradients in the Left Ventricle During Diastole,” Circulation, 78, pp. 661–671.
Brun,  P., Tribouilloy,  C., Duval,  A. M., Iseriu,  L., Meguira,  A., Pelle,  G., and Dubois-Randé,  J. L., 1992, “Left Ventricular Flow Propagation During Early Filling Is Related to Wall Relaxation: a Color M-Mode Doppler Analysis,” J. Am. Coll. Cardiol., 20, pp. 420–432.
Greenberg,  N. L., Vandervoort,  P. M., and Thomas,  J. D., 1996, “Instantaneous Diastolic Transmitral Pressure Differences From Color Doppler M-Mode Echocardiography,” Am. J. Physiol., 271 (Heart. Circ Physiol. 40 ), pp. H1267–H1276.
Thomas,  J. D., Garcia,  M. J., and Greenberg,  N. L., 1997, “Application of Color Doppler M-Mode Echocardiography in the Assessment of Ventricular Diastolic Function: Potential for Quantitative Analysis,” Heart Vessels, 12, pp. 135–137.
Stugaard,  M., Risöe,  C., Halfdan,  I., and Smiseth,  O. A., 1994, “Intracavitary Filling Pattern in the Failing Left Ventricle Assessed by Color M-Mode Doppler Echocardiography,” J. Am. Coll. Cardiol., 24, pp. 663–670.
Takatsjuji,  H., Mikami,  T., Urasawa,  K., Teranishi,  J.-I., Onozuka,  H., Takagi,  C., Makita,  Y., Matsuo,  H., Kusuoka,  H., and Kitabatake,  A., 1996, “A New Approach for Evaluation of Left Ventricular Diastolic Function: Spatial and Temporal Analysis of Ventricular Filling Flow Propagation by Color M-Mode Doppler Echocardiography,” J. Am. Coll. Cardiol., 27, pp. 365–371.
Garcia,  M. J., Ares,  M. A., Asher,  C., Rodriguez,  L., Vandervoort,  P., and Thomas,  J. D., 1997, “An Index of Early Left Ventricular Filling That Combined With Pulsed Doppler Peak E Velocity May Estimate Capillary Wedge Pressure,” J. Am. Coll. Cardiol., 29, pp. 448–454.
Bellhouse,  B. J., 1972, “Fluid Mechanics of a Model Mitral Valve and Left Ventricle,” Cardiovasc. Res., 6, pp. 199–210.
Steen,  T., and Steen,  S., 1994, “Filling of a Model Left Ventricle Studied by Colour M-Mode Doppler,” Cardiovasc. Res., 28, pp. 1821–1827.
Shortland,  A. P., Black,  R. A., Jarvis,  J. C., Henry,  F. S., Iudicello,  F., Collins,  M. W., and Salmons,  S., 1996, “Formation and Travel of Vortices in Model Ventricles: Application to the Design of Skeletal Muscle Ventricles,” J. Biomech., 29, pp. 503–511.
Peskin,  C. S., and McQueen,  D. M., 1989, “A Three-Dimensional Computational Method for Blood Flow in the Heart—I. Immersed Elastic Fibers in a Viscous Incompressible Fluid,” J. Comput. Phys., 81, pp. 372–405.
Owen,  A., 1993, “A Numerical Model of Early Diastolic Filling: Importance of Intraventricular Pressure Wave Propagation,” Cardiovasc. Res., 27, pp. 255–261.
Redaelli,  A., and Montevecchi,  F. M., 1996, “Computational Evaluation of Intraventricular Pressure Gradients Based on a Fluid-Structure Approach,” ASME J. Biomech. Eng., 118, pp. 529–537.
Henry,  F. S., Shortland,  A. P., Iudicello,  F., Black,  R. A., Jarvis,  J. C., Collins,  M. W., and Salmons,  S., 1997, “Flow in a Simple Model Skeletal Muscle Ventricle: Comparison Between Numerical and Physical Simulations,” ASME J. Biomech. Eng., 119, pp. 13–19.
Nishimura,  R. A., and Tajik,  A. J., 1997, “Evaluation of Diastolic Filling of Left Ventricle in Health and Disease: Doppler Echocardiography Is the Clinician’s Rosetta Stone,” J. Am. Coll. Cardiol., 30, pp. 8–18.
Riemslagh,  K., Vierendeels,  J., and Dick,  E., 1998, “Two-Dimensional Incompressible Navier–Stokes Calculations in Complex-Shaped Moving Domain,” J. Eng. Math., 34, pp. 57–73.
Meisner, J., 1986, “Left Atrial Role in Left Ventricular Filling: Dog and Computer Studies,” Ph.D. thesis, Albert Einstein College of Medicine, Yeshiva University, New York.
Janz,  R. F., and Grimm,  A. F., 1973, “Deformation of the Diastolic Left Ventricle—I. Nonlinear Elastic Effects,” Biophys. J., 13, pp. 689–704.
Mirsky,  I., 1973, “Ventricular and Arterial Wall Stresses Based on Large Deformation Analyses,” Biophys. J., 13, pp. 1141–1159.
Sagawa, K., Maughan, L., Suga, H., and Sunagawa, K., 1988, Cardiac Contraction and the Pressure–Volume Relationship, Oxford University Press, New York.
Lee,  C. S. F., and Talbot,  L., 1979, “A Fluid Mechanical Study of the Closure of Heart Valves,” J. Fluid Mech., 91, pp. 41–63.
Ingels,  N. B., Daughters,  G. T., Nikolic,  S. D., DeAnda,  A., Moon,  M. R., Bolger,  A. F., Komeda,  M., Derby,  G. C., Yellin,  E. L., and Miller,  D. C., 1996, “Left Ventricular Diastolic Suction With Zero Left Atrial Pressure in Open-Chest Dogs,” Am. J. Physiol., 270 (Heart Circ. Physiol., 39 ), pp. H1217–H1224.
Iudicello,  F., Henry,  F. S., Collins,  M. W., Salmons,  S., Sarti,  A., and Lamberti,  C., 1997, “Comparison of Haemodynamic Structures Between a Skeletal Muscle Ventricle and the Human Left Ventricle,” Internal Medicine, 5, pp. 1–10.
Nikolic,  S., Fenely,  M., Pajaro,  O., Rankin,  J. S., and Yellin,  E., 1995, “Origin of Regional Pressure Gradients in the Left Ventricle During Early Diastole,” Am. J. Physiol., 268, pp. 550–557.
Vierendeels,  J., Riemslagh,  K., and Dick,  E., 1999, “A Multigrid Semi-Implicit Line-Method for Viscous Incompressible and Low-Mach-Number Flows on High Aspect Ratio Grids,” J. Comput. Phys., 154, pp. 310–341.


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Discretization of the ventricle with corresponding boundary discretization
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Electric analogy for the circulation 18. R2 is a quadratic resistance.
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Discretization of two-dimensional axisymmetric elastic tube
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Flow calculation in two-dimensional axisymmetric elastic tube, no reflection at outlet. Velocity (top) and pressure (bottom) profiles at inlet, middle, and outlet of tube.
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Flow patterns and isobars in the LV during filling
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Top: Velocity profile at mitral valve. Middle: Computed pressure profiles at mitral valve (base) and apex with inflow (a: apex, b: base) and without inflow (relaxation without filling, curve c). Bottom: Pressure profiles at mitral valve and apex obtained by subtraction of curve c from curves a and b (a: apex, b: base). For both the E-and the A-wave, there is first a pressure rise at the base (see arrows) and then at the apex.
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Measured intraventricular pressure waveforms 2, a: apex, b: base
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Color M-mode echocardiogram (here grayscale) derived from a two-dimensional axisymmetric flow simulation. Along the horizontal axis the time evolution is shown. The vertical axis represents the distance in the ventricle along the centerline. The bottom corresponds with the base and the top with the apex. Velocities along the symmetry axis are color coded. Both the early and atrial filling wave can be seen, the initial flow phase with blood moving simultaneously in the ventricle is denoted as I, the propagation of the early filling wave is denoted as II. Left: reference calculation. Right: calculation with same mitral inflow pattern, but higher LV stiffness (Estop=8.85 kPa) and thus higher atrial pressure at opening of the mitral valve (25 mmHg).
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Control volume for heart wall



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