caa a22 4500 469122528 CHVBK 20180323133143.0 cr unu---uuuuu 170328e19921101xx s 000 0 eng 10.1007/BF02368608 doi (NATIONALLICENCE)springer-10.1007/BF02368608 Modeling the circulation with three-terminal electrical networks containing special nonlinear capacitors [Elektronische Daten] [Joshua Tsitlik, Henry Halperin, Aleksander Popel, Artin Shoukas, Frank Yin, Nicolaas Westerhof] Development, first of analog and later of digital computers, as well as algorithms for analysis of electrical circuits, stimulated the use of electrical circuits for modeling the circulation. The networks used as building blocks for electrical models can provide accurate representation of the hydrodynamic equations relating the inflow and outflow of individual segments of the circulation. These networks, however, can contain connections in which voltages and currents have no analogues in the circulation. Problems arise because (a) electrical current must flow in closed loops, whereas no such constraints exist for hydraulic models; and (b) electrical capacitors have a number of characteristics that are not analogous to those of hydraulic compliant chambers. Disregarding these differences can lead to erroneous results and misinterpretation of phenomena. To ensure against these errors, we introduce an imaginary electrical element, thenonlinear residual-charge capacitor (NRCC), with characteristics equivalent to those of a compliant chamber. If one uses appropriate circuit connections and incorporates the residual-charge capacitor, then all voltages and currents in the model are proper analogues of pressures and flows in the circulation. It is shown that the capacitive current represents the rate of change of volume of blood inside the vessel, as well as the rate of the corresponding displacement of volume of the surrounding tissue. Pergamon Press Ltd., 1992 Circulation nationallicence Modeling of circulation nationallicence Mathematical model nationallicence Electrical model nationallicence Hydraulic model nationallicence Modeling of physiological systems nationallicence Tsitlik Joshua The Peter Belfer Laboratory for Myocardial Research Cardiology Division of the Department of Medicine, The Johns Hopkins University School of Medicine, 720 Rutland Avenue, 21205, Baltimore, MD aut Halperin Henry The Peter Belfer Laboratory for Myocardial Research Cardiology Division of the Department of Medicine, The Johns Hopkins University School of Medicine, 720 Rutland Avenue, 21205, Baltimore, MD aut Popel Aleksander The Department of Biomedical Engineering, The Johns Hopkins Medical Institutions, Baltimore, MD aut Shoukas Artin The Department of Biomedical Engineering, The Johns Hopkins Medical Institutions, Baltimore, MD aut Yin Frank The Peter Belfer Laboratory for Myocardial Research Cardiology Division of the Department of Medicine, The Johns Hopkins University School of Medicine, 720 Rutland Avenue, 21205, Baltimore, MD aut Westerhof Nicolaas Laboratory for Physiology, Free University of Amsterdam, The Netherlands aut Annals of Biomedical Engineering Kluwer Academic Publishers 20/6(1992-11-01), 595-616 0090-6964 20:6<595 1992 20 10439 https://doi.org/10.1007/BF02368608 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02368608 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Tsitlik Joshua The Peter Belfer Laboratory for Myocardial Research Cardiology Division of the Department of Medicine, The Johns Hopkins University School of Medicine, 720 Rutland Avenue, 21205, Baltimore, MD aut NATIONALLICENCE 700 1- Halperin Henry The Peter Belfer Laboratory for Myocardial Research Cardiology Division of the Department of Medicine, The Johns Hopkins University School of Medicine, 720 Rutland Avenue, 21205, Baltimore, MD aut NATIONALLICENCE 700 1- Popel Aleksander The Department of Biomedical Engineering, The Johns Hopkins Medical Institutions, Baltimore, MD aut NATIONALLICENCE 700 1- Shoukas Artin The Department of Biomedical Engineering, The Johns Hopkins Medical Institutions, Baltimore, MD aut NATIONALLICENCE 700 1- Yin Frank The Peter Belfer Laboratory for Myocardial Research Cardiology Division of the Department of Medicine, The Johns Hopkins University School of Medicine, 720 Rutland Avenue, 21205, Baltimore, MD aut NATIONALLICENCE 700 1- Westerhof Nicolaas Laboratory for Physiology, Free University of Amsterdam, The Netherlands aut NATIONALLICENCE 773 0- Annals of Biomedical Engineering Kluwer Academic Publishers 20/6(1992-11-01), 595-616 0090-6964 20:6<595 1992 20 10439 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer