Suchkov S.G., Suchkov D.S., Suchkova S.M. Determination of blood vessel parameters by pulse wave

DETERMINATION OF BLOOD VESSEL PARAMETERS BY PULSE WAVE

Sergey G. Suchkov
Doctor of Sciences (Physics and Mathematics), Senior Researcher,
Director of the Scientific and Technological Center “Micro- and Nanoelectronics”,
Saratov National Research State University
suchkov.s.g@mail.ru
Astrakhanskaya St, 83, 410012 Saratov, Russian Federation

Dmitry S. Suchkov
Doctor of Sciences (Physics and Mathematics), Deputy Director,
Research Institute of Mechanics and Physics,
Saratov National Research State University
suchkovds@ya.ru
Astrakhanskaya St, 83, 410012 Saratov, Russian Federation

Svetlana M. Suchkova
Engineer, LLC “Conversion-SSU”
This email address is being protected from spambots. You need JavaScript enabled to view it.
Moskovskaya St, 66, 410012 Saratov, Russian Federation

Abstract. A pulse wave is a complex joint motion of blood and vessel walls described by
a nonlinear system of differential equations of hydrodynamics and elasticity theory with a
mobile boundary. Even an approximate solution to such a problem is currently not possible
without significant simplifications, reducing the problem to almost uninteresting cases. Therefore,
to mathematically describe the practically important changes in the pulse wave between the
norm and pathology and to identify the main physical parameters that characterize the pathology,
it is necessary to build a phenomenological model, the parameters of which are determined
from comparison with the experiment.The results obtained indicate that the pulse wave
transformation in the cuff area is significantly nonlinear in pressure. Attention is also drawn to
the effect of a decrease in the elastic modulus with an increase in the diameter of the vessel.

Key words: pulse wave, phenomenological model, blood vessels, hydrodynamic equations,
mathematical modeling.

This work is licensed under a Creative Commons Attribution 4.0 International License.