A.I. BURNASYAN FMBC CLINICAL BULLETIN

ISSN 2782-6430 (print)

State Research Center −Burnasyan Federal Medical Biophysical
Center of Federal Medical Biological Agency

The journal is published in Russian.
Format – A4.
The periodicity of the journal is 4 times a year.

Issue №2, 2026

more

A.I. Burnasyan  FMBC clinical bulletin. 2026 № 2

Yu.D. Udalov, A.T. Betuganova, T.A. Martynova  

Evolution of Scientific Concepts of Hemodynamics in Arteries:
from Classical Physics to Computational Modelingy

International Office, State Research Center – Burnasyan Federal Medical Biophysical Center of Federal Medical Biological Agency, Moscow, Russiа

Contact person: Betuganova Albina Timurovna: betyganova28@gmail.com

 

Abstract
This paper presents a comprehensive historical, scientific, and biophysical analysis of the development of concepts regarding hemodynamics in the arterial system. It examines the trajectory of scientific thought from the empirical observations of traditional medicine and the era of Galileo to modern methods of three-dimensional computer modeling. Particular attention is paid to the role of the interdisciplinary synthesis of physics, mathematics, and medicine in the development of fundamental laws of blood flow. Based on an analysis of the provided historical material and modern scientific data, a critical analysis of the term “volume sphygmography,” which originated in Soviet medical literature, is provided and compared with international clinical guidelines. The article demonstrates that the current era is characterized by a rejection of simplified one-dimensional models in favor of high-resolution imaging technologies and computational fluid dynamics.

Keywords: history of medicine, hemodynamics, sphygmography

For citation: Udalol YuD, Betuganova AT, Martynova TA. Evolution of Scientific Concepts of Hemodynamics in Arteries: from Classical Physics to Computational Modeling. A.I. Burnasyan Federal Medical Biophysical Center Clinical Bulletin. 2026.2:73-78. (In Russian) DOI: 10.33266/2782-6430-2026-2-73-78

 

REFERENCES

  1. William Harvey, Exercitation Anatomica de Motu Cordis et Sanguinis in Animalibus. Frankfurt: William Fitzer. 1628: 72 p. Available from: https://archive.org
  2. IX. De motu Circulari Fluidorum. В: Newton, Isaac, Sir. Philosophiae Naturalis Principia Mathematica. Daniel Adee, 1846: 594 р. Available from: https://archive.org
  3. Stephen Hales. Statical Essays: containing Haemastatics. 2nd ed. London, 1740: 361 p. Available from: https://archive.org
  4. McDonald’s Blood Flow in Arteries, 7th ed: Theoretical, Experimental and Clinical Principles. Edited By Wilmer W. Nichols, Michael O’Rourke, Elazer R. Edelman, Charalambos Vlachopoulos. CRC Press. 2022; 854 p. ISBN: 978-0-815-36884-7
  5. Demidov S.S. Mathematics in Russia at the Turns of History. Digest of articles. MTsNMO, 2021. 340 p. (In Russ) Демидов С.С. Математика в России на поворотах истории. Сборник статей. МЦНМО, 2021. 340 с. ISBN: 978-5-4439-1574-6
  6. Filobello-Nino U, Vazquez-Leal H, Huerta-Chua J, et al. A symmetric version of the Euler equations by using Generalized Bernoulli Method. Heliyon. 2023 Jun 7;9(6):e16947. doi: 10.1016/j.heliyon.2023.e16947.
  7. Costa G, Barral A, Dubrulle B. Reversible Navier-Stokes equation on logarithmic lattices. Phys Rev E. 2023 Jun;107(6-2):065106. doi: 10.1103/PhysRevE.107.065106.
  8. He Y, Northrup H, Le H, Cheung AK, Berceli SA, Shiu YT. Medical Image-Based Computational Fluid Dynamics and Fluid-Structure Interaction Analysis in Vascular Diseases. Front Bioeng Biotechnol. 2022 Apr 27;10:855791.
  9. Poiseuille JLM. Recherches sur la Force du Coeur Aortique. Dissertation, Paris: Didot le Jeune. 1828. 48 p. Available from: https://archive.org
  10. Meinertz T. Zu Unfairly Forgotten: Carl Ludwig: The Founder of Modern Physiology Dtsch Med Wochenschr. 2021;146(24-25):1599-1604. (In German) Meinertz T. Unrecht vergessen: Carl Ludwig, Begründer der modernen Physiologie. Dtsch Med Wochenschr. 2021;146(24-25):1599-1604. doi: 10.1055/a-1338-3898.
  11. Roguin A. Scipione Riva-Rocci and the men behind the mercury sphygmomanometer. Int J Clin Pract. 2006 Jan;60(1):73-9.
  12. Karamanou M, Papaioannou TG, Tsoucalas G, et al. Blood pressure measurement: lessons learned from our ancestors. Curr Pharm Des. 2015;21(6):700-4. doi: 10.2174/1381612820666141023163313
  13. Marey EJ. Physiologie medicale de la circulation du sang. Paris: Adrien Delahaye. 1863; 568 p. Available from: https://archive.org
  14. Nielsen MB, Søgaard SB, Bech Andersen S, et al. Highlights of the development in ultrasound during the last 70 years: A historical review. Acta Radiol. 2021 Nov;62(11):1499-1514. doi: 10.1177/02841851211050859.
  15. Launder BE. First steps in modelling turbulence and its origins: a commentary on Reynolds (1895) ‚On the dynamical theory of incompressible viscous fluids and the determination of the criterion‘. Philos Trans A Math Phys Eng Sci. 2015 Apr 13;373(2039):20140231. doi: 10.1098/rsta.2014.0231.
  16. Yamamoto Y, Ishikawa Y, Shimpo M, Matsumura M. Mönckeberg’s sclerosis. J Gen Fam Med. 2020 Sep 28;22(1):55-56. doi: 10.1002/jgf2.380
  17. Chen X, Zhuang J, Wu Y. The effect of Womersley number and particle radius on the accumulation of lipoproteins in the human aorta. Comput Methods Biomech Biomed Engin. 2020 Aug;23(10):571-584. doi: 10.1080/10255842.2020.1752681.
  18. Edelman RR. The history of MR imaging as seen through the pages of radiology. Radiology. 2014 Nov;273(2 Suppl):S181-200.
  19. Soulat G, McCarthy P, Markl M. 4D Flow with MRI. Annu Rev Biomed Eng. 2020 Jun 4;22:103-126. doi: 10.1146/annurev-bioeng-100219-110055.
  20. Maselli D, Garoffolo G, Cassanmagnago GA, et al. Mechanical Strain Induces Transcriptomic Reprogramming of Saphenous Vein Progenitors. Front Cardiovasc Med. 2022 May 27;9:884031. doi: 10.3389/fcvm.2022.884031.
  21. Andreev A.A., Ostroushko A.P. Nikolai Sergeevich Korotkov – a Russian surgeon, a pioneer of modern vascular surgery. To the 145th anniversary of the birth. Vestnik eksperimental’noy i klinicheskoy khirurgii 2019; 12:1: 83-83. (In Russ) Андреев А.А., Остроушко А.П. Николай Сергеевич Коротков – российский хирург, пионер современной сосудистой хирургии. К 145-летию со дня рождения. Вестник экспериментальной и клинической хирургии 2019; 12:1: 83-83. doi: 10.18499/2070-478X-2019-12-1-83-83
  22. Zairova A.R., Rogoza A.N. Volume sphygmography today. Medical alphabet. 2018;4(36):8-18. (In Russ.) Заирова А.Р., Рогоза А.Н. Объемная сфигмография сегодня. Медицинский алфавит. 2018;4(36):8-18. ISSN 2078-5631
  23. Posokhov IN, Moroz-Vаdаlazhskaya NN. Oscillometric method: what is it and is it suitable for measuring blood pressure in all patients? Cardiovascular Therapy and Prevention. 2024;23(9):4075. (In Russ) Посохов И. Н., Мороз-Водолажская Н. Н. «Осциллометрический» метод: что это такое и всем ли пациентам он подходит для измерения артериального давления? Кардиоваскулярная терапия и профилактика. 2024;23(9):4075. https://doi.org/10.15829/1728-8800-2024-4075.
  24. Mancia G, Kreutz R, Brunström M, et al. 2023 ESH Guidelines for the management of arterial hypertension The Task Force for the management of arterial hypertension of the European Society of Hypertension Endorsed by the European Renal Association (ERA) and the International Society of Hypertension (ISH). J Hypertens. 2023 Jun 21. Epub ahead of print. doi: 10.1097/HJH.0000000000003480.
  25. Posokhov IN. Pulse wave velocity 24-hour monitoring with one-site measurements by oscillometry. Med Devices (Auckl). 2013;6:11-5. doi: 10.2147/MDER.S42082.
  26. Segers P, Rietzschel ER, Chirinos JA. How to Measure Arterial Stiffness in Humans. Arterioscler Thromb Vasc Biol. 2020 May;40(5):1034-1043. doi: 10.1161/ATVBAHA.119.313132.
  27. Salvi P, Scalise F, Rovina M, et al. Noninvasive Estimation of Aortic Stiffness Through Different Approaches. Hypertension. 2019 Jul;74(1):117-129. doi: 10.1161/HYPERTENSIONAHA.119.12853.
  28. Chirinos JA, Segers P, Hughes T, Townsend R. Large-Artery Stiffness in Health and Disease: JACC State-of-the-Art Review. J Am Coll Cardiol. 2019 Sep 3;74(9):1237-1263. doi: 10.1016/j.jacc.2019.07.012.
  29. Posokhov IN. On the history of 24-hour blood pressure monitoring. A. I. Burnasyan Federal Medical Biophysical Center Clinical Bulletin. 2023.4:62-5. (In Russ.) Посохов И.Н. К истории суточного мониторирования артериального давления. Клинический вестник ФМБЦ им. А. И. Бурназяна. 2023;4:62-5. doi:10.33266/2782-6430-2023-4-62-65.
  30. Posokhov IN, Praskurnichiy EA. What’s changed in home blood pressure monitoring over the decade? Russian Journal of Cardiology. 2024;29(3S):5966. (In Russ.) Посохов И.Н., Праскурничий Е.А. Что изменилось в домашнем мониторировании артериального давления за десятилетие? Российский кардиологический журнал. 2024;29(3S):5966. https://doi.org/10.15829/1560-4071-2024-5966.
  31. Posokhov IN, Betuganova AT. Evolution and Advancements in Home Blood Pressure Variability: A Current State-of-the-Art Summary. Am J Cardiol. 2026 Feb 27;266:86-91. doi: 10.1016/j.amjcard.2026.02.047.
  32. Posokhov I. N., Praskurnichy E. A., Lizunov V. Yu. Algorithm of medical decisions when planning air travel for passengers after cardiac surgery. Aerospace and environmental medicine. – 2025. – Vol. 59, No. 1. – P. 11-16. (In Russ) Посохов И. Н., Праскурничий Е. А., Лизунов В. Ю. Алгоритм врачебных решений при планировании авиаперелета пассажирами после кардиохирургических вмешательств. Авиакосмическая и экологическая медицина. – 2025. – Т. 59, № 1. – С. 11-16. – https://doi.org/10.21687/0233-528X-2025-59-1-11-16.
  33. Posokhov I.N., Praskurnichii E.A. Evaluation of opportunity for air traveling of patients with cardiac arrhythmias. Journal of Arrhythmology. 2023;30(3):e11-e18. (In Russ). Посохов И.Н., Праскурничий Е.А. Оценка пригодности к авиапутешествиям пациентов с нарушениями ритма сердца. Вестник аритмологии. 2023;30(3):e11-e18. https://doi.org/10.35336/VA-2023-3-1196
  34. Posokhov I.N., Praskurnichiy E.A. Assessment of medical risks in airline passengers with recent acute and chronic coronary syndromes. Cardiovascular Therapy and Prevention. 2024;23(4):3916. (In Russ.) Посохов И.Н., Праскурничий Е.А. Оценка медицинских рисков у авиапассажиров с недавним острым и хроническими коронарными синдромами. Кардиоваскулярная терапия и профилактика. 2024;23(4):3916. https://doi.org/10.15829/1728-8800-2024-3916
  35. Nishimiya K, Matsumoto Y, Shimokawa H. Recent Advances in Vascular Imaging. Arterioscler Thromb Vasc Biol. 2020 Dec;40(12):e313-e321. doi: 10.1161/ATVBAHA.120.313609.
  36. Schuurman AS, Vroegindewey M, Kardys I, et al. Near-infrared spectroscopy-derived lipid core burden index predicts adverse cardiovascular outcome in patients with coronary artery disease during long-term follow-up.Eur Heart J. 2018; 39:295–302. doi: 10.1093/eurheartj/ehx247
  37. Ughi GJ, Wang H, Gerbaud E, et al. Clinical characterization of coronary atherosclerosis with dual-modality oct and near-infrared autofluorescence imaging. J Am Coll Cardiol. 2016; 9:1304–1314. doi: 10.1016/j.jcmg.2015.11.020.
  38. Curaj A, Wu Z, Rix A, et al. Molecular ultrasound imaging of junctional adhesion molecule a depicts acute alterations in blood flow and early endothelial dysregulation. Arterioscler Thromb Vasc Biol. 2018; 38:40–48 doi: 10.1161/ATVBAHA.117.309503.
  39. Simon Wu X, Shields A, Vanderbilt E, et al. Determining 3D Distributions of Pulsatile Blood Flow Using Orthogonal Simultaneous Biplane High-Speed Angiography (SB-HSA) with 1000 fps CdTe Photon Counting Detectors for 3D X-ray Particle Image Velocimetry (3D-XPIV) compared to Results Using Computational Fluid Dynamics (CFD). Proc SPIE Int Soc Opt Eng. 2023 Feb;12468:124680N. doi: 10.1117/12.2653617.

Conflict of interest. The authors declare no conflict of interest.
Financing. The study had no sponsorship.
Contribution. Article was prepared with equal participation of the authors.
Article received: 23.11.2025. Accepted for publication: 25.12.2025

© 2026 Scientific journal - "Clinical Bulletin of the FMBС im. A.I. Burnasyan"
Scroll to Top