Biofluid Mechanics · 2 pp 363-386 | Cite as
Linear Systems Analysis Applications in the Study of Arterial Hemodynamics
Chapter
Abstract
In recent years, the applications of linear systems analysis techniques have become increasingly valuable in the study and understanding of the arterial hemodynamics. The aim of this paper is to review these concepts as applied to the characterization of pressure-flow relationships in the ascending aorta.
Keywords
Input Impedance Arterial System Arterial Tree Impulse Response Function Flow Wave
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References
- 1.Abel, F.L. (1971) Fourier analysis of left ventricular performance, Circ. Res. 28, 119–135.Google Scholar
- 2.Attinger, E.O., Sugarwara, H., Navarro, A., Ricetto, A., Martin, R. (1966) Pressure-flow relations in the dog arteries, Cir. Res., 19, 230–245.Google Scholar
- 3.Bergel, D.H. (1961) The dynamic elastic properties of the arterial wall, J. Physiol. 156, 458–469.Google Scholar
- 4.Bergal, D.H. and Milner, W.R. (1965), Pulmonary vascular impedance in the dog, Cir. Res. 16, 410–415.Google Scholar
- 5.Dick, D.E., Kendrick, J.E., Matson, G.L., and Rideout, V.C. (1968) Measurement of non-linearity in the arterial system of the dog by a new method, Cir. Res. 22, 101–112.CrossRefGoogle Scholar
- 6.Gabel, R.A. and Roberts, R.A. (1973) Signals and Linear Systems, John Wiley and Sons, New York, London, Sydney and Toronto.Google Scholar
- 7.Laxminarayan, S., Sipkema, P., and Wester-hof, N. (1978a) Characterization of the arterial system in the time domain, IEEE Trans. Biomed. Eng., BME–25, 2, 177–184.CrossRefGoogle Scholar
- 8.Laxminarayan, S. and Laxminarayan, R. (1978b) Use of swept wine wave in physiological systems analysis,1EEE Trans. Biomed. Engng., BME–24, 1, 103–105.CrossRefGoogle Scholar
- 9.Laxminarayan, S. and Laxminarayan, R. (1979c) Application of a transient analysis method in the estimation of the input impedance of the arterial system, to be published.Google Scholar
- 10.Laxminarayan, S., Laxminarayan, R. Langewouters, G.J., and Vos A.v.D. (1979b) Computing total arterial compliance of the arterial system from its input impedance, Med. & Biol. Eng. & Comp., 17, 623–628.Google Scholar
- 11.Laxminarayan, S., Laxminarayan, R. and Jongbloed, A.A. (1979a) Linear systems analysis applications by deconvolution techniques in cardiovascular systems analysis, DECUS Europe symposium, Copenhagen, Denmark.Google Scholar
- 12.Laxminarayan, S. (1979d) The calculation of forward and backward waves in the arterial system, Med. & Biol. Eng. & Comp., 17, 130.Google Scholar
- 13.McDonald, D.A. (1964) Frequency dependence of vascular impedance, Pulsatile blood blow, Ed. Attinger, E.P., McGraw-Hill, New York.Google Scholar
- 14.McDonald, D.A. (1974) Blood flow in arteries, Arnold, London.Google Scholar
- 15.Mills, C.J., Gabe, I.T., Gault, J.H., Mason, D.T., Ross (Jun) J., Braunwald, E. and Shillingford, J.P. (1970) Pressure-flow relationships and vascular impedance in man, Cardiovas. Res. 4, 405–417.Google Scholar
- 16.Nobel, M.J.M., Gabe, I.T., Trenchard, D., and Guz, A. (1967) Blood pressure and flow in the ascending aorta of conscious dogs, Cardiovas. Res., 1, 9–20.CrossRefGoogle Scholar
- 17.O’Rourke, M.F. and Taylor, M.G. (1967) Input impedance of the systemic circulation, Circ. Res. 20, 365–380.CrossRefGoogle Scholar
- 18.Papoulis, A. (1962) The Fourier integral and its applications, McGraw-Hill, New York.MATHGoogle Scholar
- 19.Patel, D.J., De Freitas, F.M., and Fry, D.L. (1963) Hydraulic input impedance to aorta and pulmonary artery in dogs, J. App. Phys. 18, 134–140.Google Scholar
- 20.Sipkema, P. and Westerhof, N. (1975) Effective length of the arterial system, Annals Biomed. Eng., 3, 296–307.CrossRefGoogle Scholar
- 21.Taylor, M.G. (1966) Use of random excitation and spectral analysis in the study of frequency-dependent parameters of the cardiovascular system, Cir.Res. 18, 585–595.CrossRefGoogle Scholar
- 22.Van den Bos, G.C. Westerhof, N., Elzinga, G., and Sipkema, P. (1976) Reflection in the systemic arterial system: effects of aortic and carotid occlusion, Cardiovasc. Res., 10, 565–573.CrossRefGoogle Scholar
- 23.Westerhof, N. (1968) Analogue studies of human systemic arterial hemodynamics, Ph.D., thesis, University of Pennsylvania, USA.Google Scholar
- 24.Westerhof, N., Elzinga, G. and Sipkema, P. (1971) An artificial arterial system for pumping hearts, J. of App. Physiol. 31, 5, 776–781.Google Scholar
- 25.Westerhof, N., Elzinga, G., and Van den Bos, G.C. (1973) Influence of central and peripheral changes on the hydraulic input impedance of the systemic arterial tree, Med. & Biol. Eng. and Comp. 11, 710–722.CrossRefGoogle Scholar
- 26.Westerhof, N., Sipkema, P., Van den Bos, G.C., and Elzinga, G. (1972) Forward and Backward waves in the arterial system, Cardiovasc. Res. 6, 648–656.CrossRefGoogle Scholar
- 27.Wetterer, E. and Kenner, Th. (1968) Grundlagen der Dynamik des arterianpulsen, Springer — Verlag, Berlin-Heidelberg — N.Y.Google Scholar
- 28.Womersley (1957) An elastic tube theory of pulse transmission and oscillatory flow in mammalian arteries, WADC Tech. Rep. TR56–614.Google Scholar
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