M.A. Basarab - Dr.Sc.(Phys.-Math.), Bauman Moscow State Technical University
N.S. Konnova - Post-graduate Student, Bauman Moscow State Technical University
D.D. Matsievsky - Ph.D.(Eng.), Scientific Research Institute on General Pathology and Pathophysiology RAMS, Moscow
D.A. Basarab - Ph.D.(Med.), Cardiovascular department, St.Ioasaf's Belgorod Regional Hospital

The application of ultrasound in continuous and pulsed modes allowed the development of devices for accurate measurement of linear and volume blood flow velocity in experiment and clinic with the help of invasive and noninvasive sensors. One of the urgent practical problems here is a visualization and spatial analysis of the blood flow velocity fields inside the vessel. There are many methods and approaches to solving this problem (see review [1]). Many of them require expensive specialized equipment or the application of sufficiently cumbersome mathematical apparatus. The aim of this work was to develop a simple and sustainable mathematical algorithm of two-dimensional velocity field visualization based on discrete profiles obtained by scanning with a simple singleton Doppler sensor with narrow beam [2]. The algorithm is based on an iterative solution of the inverse computerized tomography problem. Analysis of the numerical experiment results allows making a conclusion about practical suitability of the considered algorithm and the theoretical possibility of its best parameters finding. The algorithm can also be used directly on irregular grids. The presence of a priori information about the velocity fields can increase the efficiency and accuracy of the results.