Везде

RAS Energy, Mechanics & ControlИзвестия Российской академии наук. Механика твердого тела Mechanics of Solids

  • ISSN (Print) 1026-3519
  • ISSN (Online) 3034-6428

Mechanics of blood flow and wall deformation in the abdominal aorta

You can
PII
S30346428S1026351925020068-1
DOI
10.7868/S3034642825020068
Publication type
Article
Status
Published
Authors
N. A. Verezub
  • Affiliation: Ishlinsky Institute for Problems in Mechanics RAS
D. V. Ghandilyan
  • Affiliation: Ishlinsky Institute for Problems in Mechanics RAS
D. S. Lisovenko
  • Affiliation: Ishlinsky Institute for Problems in Mechanics RAS
V. V. Pantushov
  • Affiliation: A.S. Puchkov Ambulance and Emergency Medical Care Station
A. I. Prostomolotov
  • Affiliation: Ishlinsky Institute for Problems in Mechanics RAS
Volume/ Edition
Volume / Issue number 2
Pages
96-118
Abstract
The medical problems of vascular mechanics are discussed in relation to the issues of blood flow and deformation of the walls in the abdominal part of the human aorta, including the formation of an aneurysm. The articles analyzed that present modern medical concepts about the hydromechanics of blood flow and deformations of arterial walls, as well as which provide the physical parameters necessary for mathematical modeling. The results of coupled mathematical modeling of blood flow and deformations of the walls in the abdominal part of the aorta in various pathological processes in it, considered in modeling as mechanical damage, including in the presence of an aneurysm, are presented. The effect of an aneurysm on the deposition of red blood cells from the blood flow is also analyzed.
Keywords
математическое моделирование брюшная аорта кровоток деформация аневризма эритроциты
Date of publication
20.01.2026
Year of publication
2026
Number of purchasers
0
Views
13

References

  1. 1. Трегубов В.П. Математическое моделирование неньютоновского потока крови в дуге аорты // Компьютерные исследования и моделирование. 2017. Т. 9. Вып. 2. С. 259–269. https://doi.org/10.20537/2076-7633-2017-9-2-259-269
  2. 2. Hughes T.J.R., Liu W.K., Zimmermann T.K. Lagrangian–Eulerian finite element formulation for incompressible viscous flows // Comput. Methods Appl. Mech. Eng. 1981. V. 29. № 3. P. 329–349. https://doi.org/10.1016/0045-7825 (81)90049-9
  3. 3. Urquiza S.A., Blanco P.J., Venere M.J., Feijoo R.A. Multidimensional modelling for the carotid artery blood flow // Comput. Methods Appl. Mech. Eng. 2006. V. 195. P. 4002–4017. https://doi.org/10.1016/j.cma.2005.07.014
  4. 4. Ladisa J.F., Figueroa C.A., Vignon-Clementel I.E. et. al. Computational simulations for aortic coarctation: representative results from a sampling of patients // J. Biomech. Eng. 2011. V. 133. № 9. P. 091008. https://doi.org/10.1115/1.4004996
  5. 5. Mokhtar W. Effect of negative angle cannulation during cardiopulmonary bypass – A computational fluid dynamics study. Inter. J. Biomedical Eng. Sci. 2017. V. 4. № 2. P. 1–13. https://doi.org/10.5121/ijbes.2017.4201
  6. 6. Svensson J., Gårdhagen R., Heiberg E. et. al. Feasibility of patient specific aortic blood flow CFD simulation // Lecture Notes in Computer Science “Medical Image Computing and Computer Assisted Intervention – MICCAI 2006”. 2006. V. 4190. P. 257–263. https://doi.org/10.1007/11866565_32
  7. 7. Simão M., Ferreira J., Tomás A.C. et. al. Aorta ascending aneurysm analysis using CFD models towards possible anomalies // Fluids. 2017. V. 2. № 2. P. 31. https://doi.org/10.3390/fluids2020031
  8. 8. Ku D.N. Blood flow in arteries // Annu. Rev. Fluid Mech. 1997. V. 29. № 1. P. 399–434. https://doi.org/10.1146/annurev.fluid.29.1.399
  9. 9. Mueller T., Rengier F., Muller-Eschner M. et. al. Supra aortic blood flow distribution measured with phase-contrast MR angiography // European Society of Radiology. European Congress of Radiology (ECR 2012), 2012. https://dx.doi.org/10.1594/ecr2012/C-2020
  10. 10. Shin E., Kim J.J., Lee S. et. al. Hemodynamics in diabetic human aorta using computational fluid dynamics // PLoS ONE. 2018. V. 13. № 8. P. e0202671. https://doi.org/10.1371/journal.pone.0202671
  11. 11. Morris L., Delassus P., Callanan A. et. al. 3-D Numerical simulation of blood flow through models of the human aorta // J. Biomech. Eng. 2005. V. 127. № 5. P. 767. https://doi.org/10.1115/1.1992521
  12. 12. Vlachopoulos C., O’Rourke M., Nichols W.W. McDonalds blood flow in arteries: Theoretical, experimental and clinical principles. London: CRC Press, 2011. 768 p. https://doi.org/10.1201/b1356
  13. 13. Klipstein R., Firmin D., Underwood S. et. al. Blood flow patterns in the human aorta studied by magnetic resonance // Heart. 1987. V. 58. № 4. P. 316–323. https://doi.org/10.1136/hrt.58.4.316
  14. 14. Stein P., Sabbah H. Turbulent blood flow in the ascending aorta of humans with normal and diseased aortic valves // Circulation Research. 1976. V. 39. № 1. P. 58–65. https://doi.org/10.1161/01.res.39.1.58
  15. 15. Липовка А.И., Карпенко А.А., Чупахин А.П., Паршин Д.В. Исследование прочностных свойств сосудов абдоминального отдела аорты: результаты экспериментов и перспективы // Прикл. Мех. Техн. Физ. 2022. Т. 63. Вып. 2. С. 84–93. https://doi.org/10.15372/PMTF20220208
  16. 16. Медведев А.Е., Ерохин А.Д. Математический анализ деформации аорты при аневризме и расслоении стенок // Матем. биология и биоинформ. 2023. Т. 18. № 2. С. 464–478. https://doi.org/10.17537/2023.18.464
  17. 17. Robinson W.P., Schanzer A., Li Y. et. al. Derivation and validation of a practical risk score for prediction of mortality after open repair of ruptured abdominal aortic aneurysms in a US regional cohort and comparison to existing scoring systems // J. Vascular Surgery. 2013. V. 57. № 2. P. 354–361. https://doi.org/10.1016/j.jvs.2012.08.120
  18. 18. Backes D., Vergouwen M.D., Tiel Groenestege A.T. et. al. Phases score for prediction of intracranial aneurysm growth // Stroke. 2015. V. 46. № 5. P. 1221–1226. https://doi.org/10.1161/strokeaha.114.008198
  19. 19. Attard M. Finite strain – isotropic hyperelasticity // Int. J. Solids Struct. 2003. V. 40. № 17. P. 4353–4378. https://doi.org/10.1016/S0020-7683 (03)00217-8
  20. 20. Fluid-Structure Interaction in a Network of Blood Vessels // Comsol Documentation. 18 p. https://doc.comsol.com/6.1/doc/com.comsol.help.models.sme.blood_vessel/blood_vessel.html
  21. 21. Fadhil N.A., Hammoodi K.A., Jassim L. et. al. Multiphysics analysis for fluid–structure interaction of blood biological flow inside three-dimensional artery // Curved and Layered Structures. 2023. V. 10. № 1. P. 20220187. https://doi.org/10.1515/cls-2022-0187
  22. 22. Каро К., Педди Т., Шротер Р., Сид У. Механика кровообращения. М.: Мир, 1981. 624 с.
  23. 23. Khosravi A., Bani M.S., Bahreinizade H., Karimi A. A computational fluid–structure interaction model to predict the biomechanical properties of the artificial functionally graded aorta // Biosci. Rep. 2016. V. 36. № 6. P. e00431 https://doi.org/10.1042/BSR20160468
  24. 24. Федотова Я.В., Епифанов Р.Ю., Волкова И.И. и др. Персонализированное численное моделирование гемодинамики аневризмы брюшной аорты: анализ чувствительности к входным граничным условиям // Теплофизика и аэромеханика. 2024. № 2. С. 405–422.
  25. 25. Sabbah H.N., Hawkins E.T., Stein P.D. Flow separation in the renal arteries // Arteriosclerosis. 1984. V. 4. № 1. P. 28–33. https://doi.org/10.1161/01.atv.4.1.28
  26. 26. Lee K., Shirshin E., Rovnyagina N. et. al. Dextran adsorption onto red blood cells revisited: single cell quantification by laser tweezers combined with microfluidics // Biomedical Optics Express. 2018. V. 9. № 6. P. 2755–2764. http://dx.doi.org/10.1364/BOE.9.002755
  27. 27. Простомолотов А.И., Верезуб Н.А. Механика процессов получения кристаллических материалов. М.: МИСиС, 2023. 568 с. https://doi.org/10.61726/5600.2024.15.25.001
  28. 28. Funck C., Laun F.B., Wetscherek A. Characterization of the diffusion coefficient of blood // Magnetic Resonance in Medicine. 2018. V. 79. № 5. P. 2752–2758. https://doi.org/10.1002/mrm.26919
  29. 29. Hund S.J., Antaki J.F. An extended convection diffusion model for red blood cell enhanced transport of thrombocytes and leukocytes // Phys. Med. Biol. 2009. V. 54. P. 6415–6435. https://doi.org/10.1088/0031-9155/54/20/024
  30. 30. Бокерия Л.А. Аневризмы аорты. М.: Медицина. 2001. 204 с.
  31. 31. Foller M., Braun M., Qadri S.M. et. al. Temperature sensitivity of suicidal erythrocyte death // Eur. J. Clinical Investigation. 2010. V. 40. № 6. P. 534–540. https://doi.org/10.1111/j.1365-2362.2010.02296.x
QR
Translate

Индексирование

Scopus

Scopus

Scopus

Crossref

Scopus

Higher Attestation Commission

At the Ministry of Education and Science of the Russian Federation

Scopus

Scientific Electronic Library