Abstract
The main assumption of the reservoir-wave model is that the blood pressure curve can be separated into two components: reservoir pressure and wave pressure. Also, the linear relationship between reservoir pressure with aortic volume and the wave pressure with blood flow velocity are assumed. This indicates that aortic characteristic impedance and arterial compliance should be constant during the whole cardiac cycle. Using impedance cardiography it is possible to measure changes in thoracic electrical impedance which reflects fluctuations of arterial blood volume and allows to estimate reservoir pressure.
The aim of this study was to examine the relationship between blood pressure and impedance cardiography signal (ΔZ). For the preliminary, illustrative purposes, we examined data from three subjects. We tested if it is possible to assume linear characteristic impedance and linear compliance for signals measured in humans.
We compared the theoretical pressure-volume loop computed using the model with the loop obtained from measured blood pressure and ΔZ. We found that the slope of the “real” loop is disturbed. The slope becomes linear only in late diastole. Motion artifacts and some disturbing waves distort ΔZ curves. Also, the occurrence of a backward pressure wave may disturb the expected similarity between the two curves. We also checked the slope between estimated wave pressure and blood flow velocity obtained through Doppler ultrasonography (characteristic impedance) and found a nonlinear relationship between them. It can be described by a power function (y = xn). We found that ΔZ curve does not fit well enough to blood pressure trace in the reservoir-wave model. Thus, we concluded that the assumption of using a constant value of compliance is an unjustified simplification. They should be treated as a blood pressure dependent value.
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References
Tyberg, J.V., et al.: Wave intensity analysis and the development of the reservoir–wave approach. Med. Biol. Eng. Comput. 47(2), 221–232 (2009)
Wang, J.-J., et al.: Time-domain representation of ventricular-arterial coupling as a windkessel and wave system. Am. J. Physiol.-Heart Circ. Physiol. 284(4), H1358–H1368 (2003)
Wang, J.-J., de Vries, G., Tyberg, J.V.: Estimation of left ventricular stroke volume by impedance cardiography: its relation to the aortic reservoir. Exp. Physiol. 98(7), 1213–1224 (2013)
Nyboer, J., Kreider, M.M., Hannapel, L.: Electrical impedance plethysmography: a physical and physiologic approach to peripheral vascular study. Circulation 2(6), 811–821 (1950)
Żyliński, M., Niewiadomski, W., Sadowiec, M., Cybulski, G.: Different methods of arterial compliance estimation tested with reservoir-wave model of arterial system. In: Lhotska, L., Sukupova, L., Lacković, I., Ibbott, G.S. (eds.) World Congress on Medical Physics and Biomedical Engineering 2018. IP, vol. 68/1, pp. 707–710. Springer, Singapore (2019). https://doi.org/10.1007/978-981-10-9035-6_131
Drawing of arterial system. https://commons.wikimedia.org/wiki/File:Arterial_system.png. Accessed 16 Jan 2020
Żyliński, M., et al.: Application of cardiac impedance signal in the reservoir-wave model of the circulatory system in humans. In: 2017 Computing in Cardiology (CinC), pp. 1–4. IEEE (2017)
Fung, Y.C., Skalak, R.: Biomechanics: Mechanical Properties of Living Tissues. Springer, Heidelberg (1981)
Langewouters, G.J., Wesseling, K.H., Goedhard, W.J.A.: The static elastic properties of 45 human thoracic and 20 abdominal aortas in vitro and the parameters of a new model. J. Biomech. 17(6), 425–435 (1984)
Powell, B.E.: Experimental measurements of flow through stenotic collapsible tubes Ph.D. Thesis. Georgia Institute of Technology (1991)
American Diabetes Association et al.: Introduction: standards of medical care in diabetes—2018 (2018)
Cheng, A.Y., et al.: Canadian diabetes association 2013 clinical practice guidelines for the prevention and management of diabetes in Canada. Introduction Can. J. Diab. 37, S1 (2013)
Lee, K., Hatake, K., Hishida, S.: Inhibitory effect of fentanyl citrate on endothelium-dependent relaxation in rat aorta. Masui Jpn. J. Anesthesiol. 43(1), 89–95 (1994)
Yamakage, M., Hirshman, C., Croxton, T.: Inhibitory effects of thiopental, ketamine, and propofol on voltage-dependent calcium sup 2 + channels in porcine tracheal smooth muscle cells. Anesthesiol. J. Am. Soc. Anesthesiol. 83(6), 1274–1282 (1995)
Moosmang, S., et al.: Dominant role of smooth muscle L-type calcium channel cav1. 2 for blood pressure regulation. EMBO J. 22(22), 6027–6034 (2003)
Rodbard, S.: Negative feedback mechanisms in the architecture and function of the connective and cardiovascular tissues. Persp. Biol. Med. 13(4), 507–527 (1970)
Hansen, T.R., Bohr, D.F.: Hypertension, transmural pressure, and vascular smooth muscle response in rats. Circ. Res. 36(5), 590–598 (1975)
Bayliss, W.M.: On the local reactions of the arterial wall to changes of internal pressure. J. Physiol. 28(3), 220–231 (1902)
Dobrin, P.B., Rovick, A.A.: Influence of vascular smooth muscle on contractile mechanics and elasticity of arteries. Am. J. Physiol.-Legacy Content 217(6), 1644–1651 (1969)
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The study was supported by the research grants provided by the Department of Mechatronics, Warsaw University of Technology.
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Żyliński, M., Wojciechowska, M., Niewiadomski, W., Cybulski, G. (2021). Compliance of a Cardiovascular System Is Non-linear – Influence on the Relation Between Blood Pressure and an Impedance Cardiography in the Reservoir-Wave Model. In: Jarm, T., Cvetkoska, A., Mahnič-Kalamiza, S., Miklavcic, D. (eds) 8th European Medical and Biological Engineering Conference. EMBEC 2020. IFMBE Proceedings, vol 80. Springer, Cham. https://doi.org/10.1007/978-3-030-64610-3_32
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