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Uspekhi Fizicheskikh Nauk, 2002, Volume 172, Number 6, Pages 671–690
DOI: https://doi.org/10.3367/UFNr.0172.200206c.0671
(Mi ufn2021)
 

This article is cited in 44 scientific papers (total in 44 papers)

REVIEWS OF TOPICAL PROBLEMS

A new class of stopping self-sustained waves: a factor determining the spatial dynamics of blood coagulation

F. I. Ataullakhanova, V. I. Zarnitsinaa, A. Yu. Kondratovicha, E. S. Lobanovab, V. I. Sarbasha

a Scientific Centre for Haematology RAMS
b Lomonosov Moscow State University, Faculty of Physics
References:
Abstract: Two self-sustained wave regimes newly found in blood coagulation models are discussed: (1) oscillating-amplitude self-sustained waves, and (2) waves initially propagating as classical (constant-velocity constant-amplitude) self-sustained waves and then abruptly stopping at a fairly large distance from the point of activation. Depending on model parameters the latter waves either damp out or turn into stationary, spatially localized peaks. Analysis of blood coagulation models suggests that blood is an active medium with very unusual properties.
Received: August 15, 2001
English version:
Physics–Uspekhi, 2002, Volume 45, Issue 6, Pages 619–636
DOI: https://doi.org/10.1070/PU2002v045n06ABEH001090
Bibliographic databases:
Document Type: Article
PACS: 05.45.-a, 87.10.+e, 87.19.Uv
Language: Russian


Citation: F. I. Ataullakhanov, V. I. Zarnitsina, A. Yu. Kondratovich, E. S. Lobanova, V. I. Sarbash, “A new class of stopping self-sustained waves: a factor determining the spatial dynamics of blood coagulation”, UFN, 172:6 (2002), 671–690; Phys. Usp., 45:6 (2002), 619–636
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  • https://www.mathnet.ru/eng/ufn/v172/i6/p671
  • This publication is cited in the following 44 articles:
    1. Ahmed Qureshi, Paolo Melidoro, Maximilian Balmus, Gregory Y.H. Lip, David A. Nordsletten, Steven E. Williams, Oleg Aslanidi, Adelaide de Vecchi, “MRI-based modelling of left atrial flow and coagulation to predict risk of thrombogenesis in atrial fibrillation”, Medical Image Analysis, 101 (2025), 103475  crossref
    2. Zineb Smine, Paolo Melidoro, Ahmed Qureshi, Stefano Longobardi, Steven E. Williams, Oleg Aslanidi, Adelaide De Vecchi, Lecture Notes in Computer Science, 14507, Statistical Atlases and Computational Models of the Heart. Regular and CMRxRecon Challenge Papers, 2024, 55  crossref
    3. D. A. Bleskin, E. M. Koltsova, D. Yu. Nechipurenko, “Structural and functional properties of thrombomodulin”, Voprosy gematologii/onkologii i immunopatologii v pediatrii, 23:2 (2024), 198  crossref
    4. A. V. Moskalenko, S. A. Makhortykh, “Bifurkatsionnoe pyatno na parametricheskom portrete dvumernoi versii modeli Alieva—Panfilova”, Preprinty IPM im. M. V. Keldysha, 2024, 061, 44 pp.  mathnet  crossref
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    6. D. Y. Nechipurenko, M. A. Panteleev, E. I. Sinauridze, K. S. Troyanova, A. D. Megalinsky, N. A. Podoplelova, A. M. Shibeko, A. N. Balandina, E. V. Koltsova, F. I. Ataullakhanov, “Mechanisms Involved in Regulation of Blood Coagulation: History of Research and Perspectives”, BIOPHYSICS, 68:1 (2023), 52  crossref
    7. V. A. Tverdislov, V. I. Lobyshev, L. V. Yakovenko, M. G. Gapochka, “About Biophysics and the Chair of Biophysics at the Faculty of Physics of Moscow State University”, BIOPHYSICS, 68:4 (2023), 665  crossref
    8. Ahmed Qureshi, Maximilian Balmus, Shaheim Ogbomo-Harmitt, Dmitry Nechipurenko, Fazoil Ataullakhanov, Gregory Y. H. Lip, Steven E. Williams, David Nordsletten, Oleg Aslanidi, Adelaide de Vecchi, Lecture Notes in Computer Science, 13958, Functional Imaging and Modeling of the Heart, 2023, 435  crossref
    9. Manuel Guerrero-Hurtado, Manuel Garcia-Villalba, Alejandro Gonzalo, Pablo Martinez-Legazpi, Andrew M. Kahn, Elliot McVeigh, Javier Bermejo, Juan C. del Alamo, Oscar Flores, Alison Marsden, “Efficient multi-fidelity computation of blood coagulation under flow”, PLoS Comput Biol, 19:10 (2023), e1011583  crossref
    10. S. A. Makhortykh, A. V. Moskalenko, “The Possibilities of Diagnosis and Prediction of Cardiac Disorders Based on the Results of Mathematical Modeling of the Myocardium and Regulation of Action of the Heart”, Pattern Recognit. Image Anal., 33:4 (2023), 1293  crossref
    11. Ahmed Qureshi, Gregory Y. H. Lip, David A. Nordsletten, Steven E. Williams, Oleg Aslanidi, Adelaide de Vecchi, “Imaging and biophysical modelling of thrombogenic mechanisms in atrial fibrillation and stroke”, Front. Cardiovasc. Med., 9 (2023)  crossref
    12. Ahmed Qureshi, Maximilian Balmus, Dmitry Nechipurenko, Fazoil Ataullakhanov, Steven Williams, Gregory Lip, David Nordsletten, Oleg Aslanidi, Adelaide de Vecchi, 2021 Computing in Cardiology (CinC), 2021, 1  crossref
    13. Qureshi A., Darwish O., Des Dillon-Murphy, Chubb H., Williams S., Nechipurenko D., Ataullakhanov F., Nordsletten D., Aslanidi O., de Vecchi A., 2020 Computing in Cardiology, Computing in Cardiology Conference, IEEE, 2020  crossref  isi  scopus
    14. Viktor Poberezhnyi, Oleksandr Marchuk, Oleksandr Katilov, Oleh Shvydiuk, Oleksii Lohvinov, “Basic concepts and physical-chemical phenomena, that have conceptual meaning for the formation of systemic clinical thinking and formalization of the knowledge of systemic structural-functional organization of the human's organism”, PMJUA, 5:2 (2020), 15  crossref
    15. A. V. Moskalenko, R. K. Tetuev, S. A. Makhortykh, “O sostoyanii issledovanii bifurkatsionnykh fenomenov pamyati i zapazdyvaniya”, Preprinty IPM im. M. V. Keldysha, 2019, 109, 44 pp.  mathnet  crossref
    16. Andreeva A.A. Anand M. Lobanov A.I. Nikolaev A.V. Panteleev M.A. Susree M., “Mathematical Modelling of Platelet Rich Plasma Clotting. Pointwise Unified Model”, Russ. J. Numer. Anal. Math. Model, 33:5 (2018), 265–276  crossref  isi  scopus
    17. M. E. Mazurov, “Nelineinye vognutye spiralnye avtovolny v aktivnykh sredakh, perenosyaschie energiyu, ikh prilozheniya v biologii i meditsine”, Matem. biologiya i bioinform., 13:1 (2018), 187–207  mathnet  crossref
    18. M. E. Mazurov, “Nonlinear concave spiral autowaves and their applications”, Bull. Russ. Acad. Sci. Phys., 82:1 (2018), 64  crossref
    19. A. A. Andreeva, A. V. Nikolaev, A. I. Lobanov, “Issledovanie tochechnoi matematicheskoi modeli polimerizatsii fibrina”, Kompyuternye issledovaniya i modelirovanie, 9:2 (2017), 247–258  mathnet  crossref
    20. A. I. Lobanov, “Fibrin polymerization as a phase transition wave: A mathematical model”, Comput. Math. Math. Phys., 56:6 (2016), 1118–1127  mathnet  crossref  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
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