Clinical Physiology of Circulation

Chief Editor

Leo A. Bockeria, MD, PhD, DSc, Professor, Academician of Russian Academy of Sciences, President of Bakoulev National Medical Research Center for Cardiovascular Surgery


Реалистичная модель внутрисердечного потока крови на основе точных решений нестационарных уравнений гидродинамики для смерчеобразных потоков вязких жидкостей

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Link: Clinical Physiology of Blood Circulaiton. 2012; (): -

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Abstract

The study of intracardiac blood flow structure was carried out in the Bakoulev Scientific Center for Cardiovascular Surgery of Russian Academy of Medical Science over the past 20 years formed the basis for developing a mathematical model of intracardiac blood flow, based on exact solution of nonstationary hydrodynamic equations for the tornado-like flow of a viscous fluid. The model reproduces the spatial displacement of fluid elements in the velocity field parametrized by time-dependent functions, derived from the exact solution. These functions correspond to radial pressure gradient across the tornado-like jet, the circulation of the jet and the distance from the instantaneous position of the origin point of cylindrical coordinate system of the jet. These functions have a physical meaning and allow to bind the dynamic spatial anatomy of the left ventricular cavity and the hydrodynamic characteristics of the flow formed inside it. The model reproduces a wide range of states of intracardiac flow, which are depending on the orientation of the axis of flow, changes in the radius of the flow, the position of the azimuthal guide vanes (intracardiac trabeculas), and the viscosity of the medium. The model flux, evolving in accordance with known cardiodynamic principles occupies a 3D space similar to the shape of the left ventricular cavity.

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