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Numerical analysis of blood flow in the heart. (English) Zbl 0403.76100

MSC:
76Z05Physiological flows
76D05Navier-Stokes equations (fluid dynamics)
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References:
[1] Peskin, C. S.: Flow patterns around heart valves: a numerical method. J. comput. Phys. 10, 252 (1972) · Zbl 0244.92002
[2] Chorin, A. J.: Numerical solution of the Navier-Stokes equations. Math. comp. 22, 745 (1968) · Zbl 0198.50103
[3] Fischer, D.; Golub, G.; Hald, O.; Leiva, C.; Widlund, O.: On Fourier-Toeplitz methods for separable elliptic systems. Math. comp. 28, 349 (1974) · Zbl 0277.65065
[4] Peskin, C. S.: Flow patterns around heart valves. Lecture notes in physics 19, 214-221 (1973) · Zbl 0255.76119
[5] Peskin, C. S.: Flow patterns around heart valves: A digital computer method for solving the equations of motion. Thesis (1972) · Zbl 0244.92002
[6] Yellin, E. L.; Frater, R. W. M.; Peskin, C. S.; Laniado, S.: Left ventricular inflow patterns and mitral valve motion: animal studies and computer analysis. Proceedings of the fourth new england bioengineering conference, 177-180 (1976)
[7] Rose, D. J.: A graph-theoretic study of the numerical solution of sparse positive definite systems of linear equations. Graph theory and computing, 183-217 (1972)
[8] Braunwald, E.; Ross, J.; Sonnenblick, E. H.: Mechanisms of contraction of the normal and failing heart. (1968)
[9] Huxley, A. F.: Muscle structures and theories of contraction. Progr. biophys. 7, 255 (1957)
[10] Bellhouse, B. J.: Fluid mechanics of a model mitral valve and left ventricle. Cardiovasc. res. 6, 199 (1972)
[11] Taylor, D. E. M.; Wade, J. D.: Pattern of blood flow within the heart: a stable system. Cardiovasc. res. 7, 14 (1973)
[12] Laniado, S.; Yellin, E.; Kotler, M.; Levy, L.; Stadler, J.; Terdiman, R.: A study of the dynamic relations between the mitral valve echogram and phasic mitral flow. Circulation 51, 104 (1975)
[13] Tsakiris, A. G.; Gordon, D. A.; Mathieu, Y.; Lipton, I.: Motion of both mitral valve leaflets: a cineroentgenographic study in intact dogs. J. appl. Physiology 39, 359 (1975)
[14] Frater, R. W. M.; Wexler, H. R.; Yellin, E. L.: The in vivo comparison of hemodynamic function of ball, disk, and eccentric monocusp artificial mitral vlave. Prosthetic heart valves, 262-277 (1969)