\r\nmodel of Human Cardiovascular System using lumped parameter

\r\nmethod. The model is divided in three parts: Systemic Circulation,

\r\nPulmonary Circulation and the Heart. The established mathematical

\r\nmodel has been simulated by MATLAB software. The innovation of

\r\nthis study is in describing the system based on the vessel diameters

\r\nand simulating mathematical equations with active electrical

\r\nelements. Terminology of human physical body and required

\r\nphysical data like vessel’s radius, thickness etc., which are required

\r\nto calculate circuit parameters like resistance, inductance and

\r\ncapacitance, are proceeds from well-known medical books. The

\r\ndeveloped model is useful to understand the anatomic of human

\r\ncardiovascular system and related syndromes. The model is deal with

\r\nvessel’s pressure and blood flow at certain time.","references":"[1] K. Hassani, M. Navidbakhsh, M. Abdolrazaghi, Mathematical\r\nModelling and Electrical Analog Equivalent of the Human\r\nCardiovascular System, Cardiovascular Engineering, Springer, pp .45-\r\n51, 2010.\r\n[2] A. Avolio, Multi-branched model of the human arterial system, Medical\r\n& Biological engineering & Computing, pp. (1980), pp. 709-718,\r\nNovember 1980.\r\n[3] J. T. Ottesen. M. S. Olufsen, J. K. Larsen, Applied Mathematical Models\r\nin Human Physiology, Siam Publication, pp.91-153, 2004.\r\n[4] K. Hassani, M. Navidbakhsh, M. Rostami, Simulation of the\r\ncardiovascular system using equivalent electronics system, J biomedical\r\npapers of medical faculty of the university Palacky, Olomouc.\r\n150(1):pp. 105-112, May2006.\r\n[5] V C. Rideout, Mathematical and computer modeling of physiological\r\nsystem, New Jersey: Prentice-Hall Inc., pp.27-66,1991\r\n[6] M. S. Olufsen, A.Nadim, On deriving lumped models for blood flow and\r\npressure in the systemic arteries. J Math Biosci Eng.;1(1):61.,2004\r\n[7] A C. Guyton, J E. Hall, Text book of Medical Physiology, Eleventh\r\nedition, Elsevier Saunders, pp. 161-214, 2006.\r\n[8] J. Keener, J. Sneyd, Mathematical Physiology, Springer- Verlag, New\r\nYork.Inc. pp. 434-478, 1998.\r\n[9] L. Formaggia, A. Quarteroni, A. Veneziani , Cardiovascular\r\nMathematics, Modeling and simulation of the circulatory system,\r\nSpringer- Verlag Italia, Milano 2009.\r\n[10] Agam Kumar Tyagi, Matlab and Simulink for Engineers, Oxford\r\nUniversity Press, pp. 111-158, 2012.\r\n[11] Boris JA Kogan, Introduction to computational cardiology,\r\nMathematical Modeling and computer simulation, Springer.\r\n[12] Charles S. Peskin, Numerical Analysis of Blood flow in the Heart,\r\nJournal of Computational Physics, 25, 220-252 (1977).\r\n[13] Mohammad Reza Mirzaee, Omid Ghasemalizadeh, and Bahar\r\nFiroozabadi Simulating of Human Cardiovascular System and Blood\r\nVessel Obstruction Using Lumped Method World Academy of Science,\r\nEngineering and Technology 41 2008, Page(s) No.267-274.\r\n[14] Attinger E. O.; Ann; \u00c3, A, Simulation of the Cardiovascular System,\r\nAnnals of the New York Academy of Sciences, 1966, Vol. 128, No. 3,\r\nPage(s) 810-829\r\n[15] Beneken J.E.W.; Rideout V.C. The Use of Multiple Models in\r\nCardiovascular System Studies: Transportation and Perturbation\r\nMethods,\u201d IEEE Transactions on Biomedical Engineering, October\r\n1968, Vol. BME-15, No. 4, Page(s) 281-289\r\n[16] Rideout V.C.; and Katra J.A. Computer Study of the Pulmonary\r\nCirculation, Simulation, May 1969, Vol. 12, No. 5, Page(s) 239-245\r\n[17] Snyder M.F.; Rideout V.C. Computer Simulation Studies of the Venous\r\nCirculation, IEEE Transactions on Bio-Medical Engineering, October\r\n1969, Vol.BME-16, No. 4, Page(s) 325-334\r\n[18] Rideout V.C.; Dick D.E. Difference-Differential Equations for Fluid\r\nFlow in Distensible Tubes, IEEE Trans Biomed Eng, July 1967, Vol.\r\nBME-14, No. 3, Page(s) 171-177\r\n[19] Rideout, V.C, Cardiovascular System Simulation in Biomedical\r\nEngineering Education, Biomedical Engineering, IEEE Transactions on,\r\nMarch 1972, Vol. BME-19, No. 2, Page(s) 101-107 73\r\n[20] Snyder M.F.; Rideout V.C.; Hillestad R. J. Computer Modeling of the\r\nHuman Systemic Arterial Tree, Biomech. (Journal of Biomechanics),\r\n1968 ,Vol. 1, Page(s) 341-353.\r\n[21] John O. Attia, Electronics and Circuit Analysis using Matlab, CRC\r\nPress.H. Poor, An Introduction to Signal Detection and Estimation.\r\nNew York: Springer-Verlag, 1985, ch. 4.\r\n[22] F. Y. Liang, S. Takagi, R. Himeno, and H. Liu. Biomechanical\r\ncharacterization of ventricular-arterial coupling during aging: A multiscale\r\nmodel study. Journal of Biomechanics, 42:692-704, 2009.\r\n[23] Nicolaas Westerhof, Nikos Stergiopulos, Mark I. Noble, Snapshorts of\r\nHemodynamics: An Aid for Clinical Research and Graduate Education.\r\nDOI 10.1007\/978-1-4419.6363.5_38. @ Springer Science + Business\r\nMedia. LLC 2010.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 122, 2017"}