STUDY OF FUNCTIONAL FEATURES OF DIFFERENT TYPES OF BIFURCATIONS OF THE INTRAORGANIC ARTERIAL BED OF THE HEART BY MATHEMATICAL MODELING
Abstract
The aim ofоuman heart by virtually testing their digital models based on the results of morphometry.
Material and methods. Using the ANSYS and Vasculograph computer programs, the conductive, distributive and supporting functions of digital models of bifurcations of the intraorganic arterial bed of different types were studied: the first, the value of the internal diameter of the proximal segment (D) is less than the sum of the internal diameters of the distal segments (dmax and dmin), D < dmax + dmin; zero, D = dmax + dmin; the second, D > dmax + dmin. Digital models of bifurcations of different types were constructed on the basis of a previously conducted morphometric study of corrosion preparations of the bed of the intraorganic coronary arteries of the heart.
Results. In the course of a virtual study of the functional features of digital models of different types of bifurcations of the intraorganic arterial bed of the heart, it was found that different types of bifurcations participate to an unequal extent in the performance of conductive, distributive and supporting functions; the main role in the performance of these functions belongs to bifurcations of the 1st type, in which the value of the internal diameter of the proximal segment (D) is less than the sum of the internal diameters of the distal segments (dmax and dmin), D<dmax+dmin.
Conclusion. As a morphometric standard of the normal structure of the intraorganic arterial bed of the heart, it is possible to use the quantitative ratio of bifurcations of different types.
About the Authors
O. K. ZeninRussian Federation
А. А. Sergienko
Russian Federation
E S. Kafarov
Russian Federation
I. U. Vagabov
Russian Federation
L. A. Udochkina
Russian Federation
B. T. Kurtusunov
Russian Federation
S. V. Fedorov
Russian Federation
S. T. Guseinova
Russian Federation
References
1. World Health Organization. The top 10 causes of death [Internet]. 2007 Aug 7 [cited 2024 Oct 25]. URL: https://www.who.int/newsroom/ fact-sheets/detail/the-top-10-causes-of-death (In Engl).
2. Akhmedov V. A., Shevchenko A.S., Isaeva A. Sovremennye vzglyady na faktory vozniknoveniya i progressirovaniya ateroskleroza. RMZh. Meditsinskoe obozrenie. 2019;3(1):57–62. (In Russ).
3. Silva J.M.L., Nagato A.C., Reis R.B. [et al.]. Morphometric analysis of the coronary arteries: a study of the external diameters. Morphol Sci. 2016;33(3):138–141. DOI: 10.4322/jms.093115 (In Engl).
4. Magliano C.A., Monteiro A.L., de Oliveira Rebelo A.R. Patients' preferences for coronary revascularization: a systematic review. Patient Prefer Adherence. 2018;13:29–35. (In Engl). http://doi.org/10.2147/PPA.S188268.
5. Zenin O. K. [et al.] Analiticheskaya i trekhmernaya (3D) anatomiya sosudistogo rusla pochki cheloveka (Analytical and threedimensional (3D) anatomy of the vascular bed of the human kidney). Groznyi: Chechenskii gosudarstvennyi universitet im. Akhmata Abdulkhamidovicha Kadyrova, 2021:218 (In Russ).
6. Taylor D.J., Saxton H., Halliday I. [et al.]. Systematic review and meta-analysis of Murray's law in the coronary arterial circulation. Am J Physiol Heart Circ Physiol. 2024;327(1):H182–H190. (In Engl). http://doi.org/10.1152/ajpheart.00142.2024.
7. Fleischer S., Tavakol D.N., Vunjak-Novakovic G. From arteries to capillaries: approaches to engineering human vasculature. Adv Funct Mater. 2020;30(37):1910811. (In Engl). http://doi.org/10.1002/adfm.201910811.
8. Zenin O., Dmitriev A.V., Miltykh I.S. Kolichestvennaya anatomiya vnutriorgannogo arterial'nogo rusla serdtsa cheloveka (Quantitative anatomy of the intraorgan arterial bed of the human heart) Svidetel'stvo o registratsii bazy dannykh RU 2021623049, 20.12.2021. Zayavka № 2021622956 ot 14.12.2021. (In Russ).
9. Gharahi, H., Zambrano, B.A., Zhu, D.C. [et al.] Computational fluid dynamic simulation of human carotid artery bifurcation based on anatomy and volumetric blood flow rate measured with magnetic resonance imaging. Int J Adv Eng Sci Appl Math 8, 46–60 (2016). https://doi.org/10.1007/s12572-016-0161-6
10. Petrenko V.M. Arterial skeleton of human quasi-segmentаry body. Advances in current natural sciences. 2015;9:32-35. (In Russ).
Review
For citations:
Zenin O.K., Sergienko А.А., Kafarov E.S., Vagabov I.U., Udochkina L.A., Kurtusunov B.T., Fedorov S.V., Guseinova S.T. STUDY OF FUNCTIONAL FEATURES OF DIFFERENT TYPES OF BIFURCATIONS OF THE INTRAORGANIC ARTERIAL BED OF THE HEART BY MATHEMATICAL MODELING. Bashkortostan Medical Journal. 2024;19(6):52-57. (In Russ.)