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Theory of heart sounds
Affiliation:1. Harvard-MIT Program in Health Sciences and Technology, Institute for Medical Engineering and Science, Massachusetts Institute of Technology, Cambridge, MA 02139, USA;2. Biological Design Center, Department of Biomedical Engineering, Boston University, Boston, MA 02215, USA;3. Wyss Institute for Biologically Inspired Engineering, Harvard University, Boston, MA 02115, USA;4. Department of Surgery, Brigham and Women’s Hospital and Harvard Medical School, Boston, MA 02115, USA;5. Division of Cardiology, Department of Medicine, Brigham and Women’s Hospital and Harvard Medical School, Boston, MA 02115, USA;1. School of Chemical Engineering, College of Engineering, University of Tehran, Tehran, 14174, Iran;2. Department of Biology, Faculty of Basic Science, Payame Noor University, Tehran, Iran;3. Department of Physics, University of Zabol, Zabol, 98613-35856, Iran;4. Graduate Program in Process Engineering, Tiradentes University (UNIT), Av. Murilo Dantas, 300, Farolândia, 49032-490, Aracaju-Sergipe, Brazil;5. Institute of Technology and Research (ITP), Tiradentes University (UNIT), Av. Murilo Dantas, 300, Farolândia, 49032-490, Aracaju-Sergipe, Brazil;1. Tecnológico Nacional de México/Centro Nacional de Investigación y Desarrollo Tecnológico, Mexico;2. Hospital Regional de Alta Especialidad del Bajío, Mexico;3. Tecnológico Nacional de México/Instituto Tecnológico de Orizaba, Mexico;1. School of Chemical and Biomolecular Engineering, The University of Sydney, Sydney, New South Wales, 2006, Australia;2. Discipline of Child and Adolescent Health, Sydney Medical School, Faculty of Health and Medicine, The University of Sydney, New South Wales, 2006, Australia;3. Heart Centre for Children, The Children''s Hospital at Westmead, New South Wales, 2145, Australia;1. Servicio de Cuidados Intensivos, Hospital Universitario de Getafe, Getafe, Madrid, España;2. CIBER Enfermedades Respiratorias, Instituto de Salud Carlos III, Madrid, España;3. Universidad Europea de Madrid, Villaviciosa de Odón, Madrid, España
Abstract:A phenomenological theory of heart sounds is proposed. The left ventricular wall is modelled as an incompressible spherical shell and the heart valves as two-dimensional membranes. The solutions of the appropriate elasticity equations are matched with those of the hydrodynamical equations describing the propagation of the radiated sound through the soft body tissue. The predicted time plots and frequency spectra show significant resemblance with recorded ones, like equidistant peaks, directional dependence, relationship of sound amplitude and rate of pressure change inside the left ventricle, etc. Sets of parameters are singled out which influence the measured sound. The latter is the integral part of a diagnostic procedure.
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