Abstract
From Newton's equation and the continuity equation, an equivalent analogue circuit model can be derived for each small segment of the coronary arteries. Sapoznikov divided the coronary artery tree into 116 segments. By replacing each segment with its analogue circuit model, a final incremental network model was derived. The model was tested using typical physical parameters under normal conditions, as well as in the presence of coronary artery stenosis. In the case of stenosis, the arteriolar flow with and without autoregulation were compared. The model shows good agreement with the reported effects of stenoses and heart rate on coronary blood flow.
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References
Dole, W. andNuno, D. (1986) Myocardial oxygen tension determines the degree and pressure range of coronary autoregulation.Circ. Res.,59, 202–205.
Gow, B. S., Schonfield, D. andPatel, D. J. (1974) The dynamic elastic properties of the canine left circumflex coronary artery.J. Biomech.,7, 389–395.
Halon, D. A., Sapoznikov, D., Lewis, B. S. andGotsman, M. S. (1983) Localization of lesions in the coronary circulation.Am. J. Cardiol.,52, 921–926.
Huelsman, L. P. (1972)Basic circuit theory with digital computations. Prentice-Hall Inc., Englewood Cliffs, New Jersey.
Kajiya, F., Tsujioka, K., Ogasawara, Y., Wada, Y. andMarsuoka, S. (1987) Analysis of flow characteristics in post-stenotic regions of the human coronary artery during bypass graft surgery.Circ.,6, 1092–1100.
Klocke, F. (1983) Measurements of coronary blood flow and degree of stenosis: current clinical implications and continuing uncertainties.J. Am. Coll. Cardiol.,1, 31–41.
Ling, S. C. andAtabek, H. B. (1972) Non-linear analysis of pulsatile flow in arteries.J. Fluid Mech.,55, 493–498.
Porenta, G., Young, D. F. andRogge, T. R. (1986) A finite-element model of blood flow in arteries including taper, branches, and obstructions.J. Biomech. Eng.,108, 161–167.
Rooz, E., Young, D. F. andRogge, T. R. (1982) A finite-element simulation of pulsatile flow in flexible obstructed tubes.,104, 119–125.
Rooz, E., Wiesner, T. F. andNerem, R. M. (1985) Epicardial coronary blood flow including the presence of stenoses and aorto-coronary bypass.,107, 361–367.
Sapoznikov, D., Halon, D. A., Lewis, B. S. andGotsman, M. S. (1983) A graphic computerized system for reporting and analysis of coronary angiograms.Comp. & Biomed. Res.,16, 334–339.
Weissler, A. M. (1980)Reviews of contemporary laboratory methods. American Heart Association Inc., Dallas, Texas, Chap. 3.
Welkowitz, W. (1977)Engineering hemodynamics: application to cardiac assist devices. Lexington Books, Chaps. 3–4.
Wilson, R., Marcus, M. andWhite, C. (1987) Prediction of physiological significance of coronary arterial lesions by quantitative lesion geometry in patients with limited coronary artery disease.Circ.,75, 723–732.
Young, D. F. (1979) Fluid mechanics of arterial stenosis.J. Biomech. Eng.,101, 157–173.
Zelano, J. (1986) Computer control of intraortic balloon pump. Ph.D thesis, Rutgers University.
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Wang, JZ., Tie, B., Welkowitz, W. et al. Incremental network analogue model of the coronary artery. Med. Biol. Eng. Comput. 27, 416–422 (1989). https://doi.org/10.1007/BF02441434
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DOI: https://doi.org/10.1007/BF02441434