Mathematical Modeling of Blood Vessel Stenosis and Their Impact on the Blood Vessel Wall Behavior

  • Igor Tereshchenko
  • Ivan Zhuk
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 754)


This article presents experimental result and mathematical analysis of the blood vessel stenosis influences on blood vessel wall behavior by the action of blood circulation. Stenosis leads to less vessel wall segment stretching depending on size and stiffness of vessel segment with stenosis. During the research, the MRI data processing approaches were performed to get blood vessel through-time behavior information and simplified model of blood vessel behavior was determined for obtained information processing to detect stenosis automatically. The results determined empirical dependences, which are necessary for the scientific study of blood vessel behavior. Mathematical analysis of research data was also carried out. Research results are compared with expert’s opinion about stenosis segment of blood vessel’s projection.


Stenosis MRI Spring model of blood vessel wall Blood vessel mathematical and physical modeling 


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© Springer International Publishing AG, part of Springer Nature 2019

Authors and Affiliations

  1. 1.National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”KyivUkraine

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