Abstract
We have studied the interrelation of left ventricle and arterial system in the anesthetized open-thorax cat. The ventricle was characterized by its pump function graph, relating mean ventricular pressure (\(\bar P_{lv}\)) and mean aortic flow (\(\bar F\)). The pump function graph was determined by means of an artificial periphery and on a beat-to-beat basis. The periphery was characterized by relating mean aortic pressure (\(\bar P_{ao}\)) and mean flow. Mean aortic and mean left ventricular pressure could be related over a wide range of values by a proportionality factor\(\bar P_{ao} = a \cdot \bar P_{lv}\). In a series of five separate experiments a value of a=1.72±0.14 (mean±SD) was found. This simplified relation allows direct comparison of apparent source resistance (i.e., slope of pump function graph), (Rs), and peripheral resistance (Rp). It was also found experimentally that total external power (\(\bar \dot w\)) could be calculated from mean aortic pressure and mean flow as well as from mean left ventricular pressure and mean flow (thus from the pump function graph) by\(\bar \dot w = c \cdot \bar P_{ao} \cdot \bar F = c \cdot a \cdot \bar P_{lv} \cdot \bar F\). The value of c=1.16±0.12 (mean±SD, n=4). Maximum external power was predicted for\(R_p /R_s = \bar P_{ao} /\bar P_{lv} = a\). In six different cats Rp/Rs ratio in the working point (i.e., mean left ventricular pressure and mean flow when the normal periphery loaded the heart) was found to be Rp/Rs=2.63±0.92. This value could not be shown to differ from that in the point where maximal external power was found, i.e., Rp/Rs=1.81±0.08 (n=6).
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References
Broemser, Ph. Ueber die optimalen Beziehungen zwischen Herztätigkein und physikalischen Konstanten des Gefässystems. Z. Biol. 96:1–10, 1935.
Broemser, Ph. Ueber die Grundschwingung des arteriellen Pulses. Z. Biol., 100:88–96, 1940.
Campbell, K., J.A. Ringo, C. Netti, and J.E. Alexander. Functional advantages of LV/artery interaction. Abstract, 35th Annual Conference on Engineering in Medicine and Biology Philadelphia, 1982, p. 34.
Elzinga, G. and N. Westerhof. Pressure and flow generated by the left ventricle against different impedances.Circ. Res. 32: 178–186, 1973.
Elzinga, G. and N. Westerhof. The effect of an increase in inotropic state and end-diastolic volume on the pumping ability of the feline left heart.Circ. Res. 42:620–628, 1978.
Elzinga, G. and N. Westerhof. How to quantify pump function of the heart.Circ. Res. 44:303–308, 1979.
Elzinga, G. and N. Westerhof. Pump function of the feline left heart; changes with heart rate and its bearing on the energy blance.Cardiovasc. Res. 14:81–92, 1980.
Elzinga, G. and N. Westerhof. Does the history of contraction affect the pressure-volume relationship?Fed. Proc. Fed. Am. Soc. Exp., Biol. In press.
Günther, B.. Dimensional analysis and theory of biological similarity.Physiol. Rev. 55:659–699, 1975.
Marquardt, D.W.. An algorithm for least squares estimation of non-linear parameters.J. Soc. Ind. Appl. Math. 11:431–441, 1963.
McDonald, D.A.,Blood Flow in Arteries. London: Arnold, 1974, pp. 384–388.
Milnor, W.R.. Aortic wavelength as a determinant of the relation between heart rate and body size in mammals.Am. J. Physiol. 237(1):R3-R6, 1979.
O'Rourke, M.F., Pressure and Flow in Arteries. MD thesis, University of Sydney, Australia, 1965.
Piene, H.. Impedance matching between ventricle and load.Ann. Biomed. Eng. 12:191–207, 1984.
Piene, H. and T. Sund. Flow and power output of right ventricle facing load with variable input impedance.Am. J. Physiol. 237(2):H125-H130, 1979.
Sagawa, K. Analysis of the CNS ischemic feedback regulations of the circulation. In:Physical Basis of Circulatory Transport edited by E.B. Reeve and A.C. Guyton, Philadelphia: Saunders, 1967, pp. 141–149.
Sunagawa, K. How to couple the ventricle to the arterial system. Abstract 35th Annual Conference on Engineering in Medicine and Biology, Philadelphia, 1982, p. 60.
Sunagawa, K., D. Burkhoff K.O. Lim, and K. Sagawa. Impedance, loading servo pump system for excised canine ventricle.Am. J. Physiol. 243:H346-H350 1982.
Westerhof, N. and G. Elzinga. The apparent source resistance of heart and muscle.Ann. Biomed. Eng 6:16–32, 1978.
Wetterer, E. and Th. Kenner. Grundlagen der Dynamik des Arterienpulses. Berlin/Heidelberg/New York: Springer Verlag, 1965, pp. 285–287.
Wilcken, D.E.L., A.A. Charlier, J.I.E. Hoffman, and A. Guz. Effects of alterations in aortic impedance on the performance of the ventricles.Circ. Res. 14:283–293, 1964.
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van den Horn, G.J., Westerhof, N. & Elzinga, G. Interaction of heart and arterial system. Ann Biomed Eng 12, 151–162 (1984). https://doi.org/10.1007/BF02584228
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DOI: https://doi.org/10.1007/BF02584228