APPLICATION OF THE SWEEP METHOD IN SOLVING ONE-DIMENSIONAL EQUATIONS OF BLOOD FLOW AND PULSE WAVE PROPAGATION IN THE ARTERIAL VASCULAR SYSTEM

摘要

A hydrodynamic model of blood flow in the arterial system of elastic vessels has been considered and an algorithm for its calculation based on the numerical integration of one-dimensional nonstationary hydrodynamical equations by the finite difference method is proposed. The given algorithm reduces the considered problem to a system of nonlinear algebraic equations solved by the Newton iteration method. Within the framework of this method, the linearized system of algebraic equations for the dendratic structure of vessels has been solved with the use of the sweep method. Comparison of the results of calculations with the literature data has shown that they agree with the blood flow characteristics observed in vivo during a cardiac cycle, as well as with the experimental time dependences of the blood pressure and circulation rate in vessels.