Clinical Physiology of Circulation

ISSN 1814-6910 (Print)
ISSN 2410-9134 (Online)

 

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


Issue's catalogue ➤ КФК. 2023; 20 (4): 321-410 ➤ Математическое моделирование различных деформаций внутренней сонной артерии

Mathematical modeling of various deformations of the internal carotid artery

Authors: Kheteeva E.E.1 2, Vinogradov R.A.1 2, Zakharov Yu.N.3 4, Borisov V.G.3 4, Zyablova E.I.1 2, Derbilova V.P.1 2, Vinogradova E.R.1

Company:
1 Kuban State Medical University, Krasnodar, Russian Federation
2 Scientific Research Institute – Ochapovsky Regional Clinical Hospital No. 1, Krasnodar, Russian Federation
3 Kemerovo State University, Kemerovo, Russian Federation
4 Federal Research Center for Information and Computational Technologies, Novosibirsk, Russian Federation

E-mail: Сведения доступны для зарегистрированных пользователей.

DOI: https://doi.org/10.24022/1814- 6910-2023-20-4-362-370

UDC: 616.133.3-007.2

Link: Clinical Physiology of Blood Circulaiton. 2023; 4 (20): 362-370

Quote as: Kheteeva E.E., Vinogradov R.A., Zakharov Yu.N., Borisov V.G., Zyablova E.I., Derbilova V.P., Vinogradova E.R. Mathematical modeling of various deformations of the internal carotid artery. Clinical Physiology of Circulation. 2023; 20 (4): 362–70 (in Russ.). DOI: 10.24022/1814- 6910-2023-20-4-362-370

Keywords:  pathological tortuosity of the internal carotid artery mathematical modeling hydrodynamics wall shear stress

Received / Accepted:  07.09.2023 / 29.11.2023

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Abstract

Introduction. Morphological abnormalities of the extracranial internal carotid artery (ICA) are often found in the general population and range from 10 to 45%. The clinical significance of dolichoarteriopathies is due to their alleged association with a decrease in cerebral blood flow and the risk of stroke. Mathematical modeling has been actively developing, allowing to create a complete model of vessel geometry, taking into account individual characteristics.

Objective. To study the features of blood flow in various variants of pathological tortuosity of the internal carotid artery by mathematical modeling.

Material and methods. CT scans of 36 internal carotid arteries with a diagnosis of “Pathological tortuosity of the internal carotid artery” according to the basic classification of J. Weibel & W. Fields (1965) were studied. Three-dimensional nonstationary periodic blood flow in the convoluted internal carotid artery was modeled using computational fluid dynamics methods. ClearCanvas, SimVascular, and MeshMixer were used to construct a geometric model of the vessel and the velocity characteristics of blood flow to construct computational grids. The SimVascular application was used to perform numerical calculations. In the studied arteries, the diameter in cross sections was measured, and the distribution of wall shear stress was analyzed. Statistical processing of the results was carried out using the IBM SPSS Statistics 26 application software package. Due to the incorrect distribution of the sample, nonparametric methods of statistical analysis were used. The threshold value of the significance level is assumed to be 0.05. The reliability of the differences between the groups was assessed using the Kraskel–Wallis criterion.

Results..  The results of our modeling demonstrate the heterogeneity of the flow and its characteristics in a convoluted vessel. During the calculation of new hemodynamic variables, we found that the excess of peak wall shear stress is observed in all types of deformations. It is noteworthy that stroke or transient ischemic attack have been observed in patients with various deformities of the ICA.

Conclusions. The method of mathematical modeling makes it possible to assess hemodynamic disorders in deformations of the internal carotid artery. The method of computational fluid dynamics shows significant heterogeneity of the blood flow in case of deformations of the internal carotid artery. A critical increase of the wall shear stress can be observed in any deformation of the internal carotid artery.

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About Authors

  • Elina E. Kheteeva, Cardiovascular Surgeon, Laboratory Assistant; ORCID
  • Roman A. Vinogradov, Dr. Med. Sci., Professor of Chair of Surgery, Head of Department of Vascular Surgery; ORCID
  • Yuriy N. Zakharov, Dr. Phys.-Math. Sci., Professor, Head of Laboratory, Chief of Chair; ORCID
  • Vladimir G. Borisov, Dr. Phys.-Math. Sci., Senior Researcher; ORCID
  • Elena I. Zyablova, Head of Radiology Department; ORCID
  • Viktoriya P. Derbilova, Cardiovascular Surgeon; ORCID
  • Elvira R. Vinogradova, Student; ORCID

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