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UFN, 2002, Volume 172, Number 6, Pages 671–690 (Mi ufn2021)  

This article is cited in 28 scientific papers (total in 28 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 Faculty of Physics, Lomonosov Moscow State University

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.

DOI: https://doi.org/10.3367/UFNr.0172.200206c.0671

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Full text: http://www.ufn.ru/ru/articles/2002/6/c/
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English version:
Physics–Uspekhi, 2002, 45:6, 619–636

Bibliographic databases:

PACS: 05.45.-a, 87.10.+e, 87.19.Uv
Received: August 15, 2001

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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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Lobanova E., Ataullakhanov F., “Unstable Trigger Waves Induce Various Intricate Dynamic Regimes in a Reaction-Diffusion System of Blood Clotting”, Phys. Rev. Lett., 91:13 (2003), 138301  crossref  adsnasa  isi  scopus
    2. Vanag V., Epstein I., “Translational and Nontranslational Motion of Perturbed Turing Patterns”, Phys. Rev. E, 67:6, Part 2 (2003), 066219  crossref  mathscinet  adsnasa  isi  scopus
    3. Butylin A., Lobanova E., Ataullakhanov F., “From Nonequilibrium Thermodynamics to Nonlinear Dynamics”, Biofizika, 49:1 (2003), 98–106  isi
    4. A. P. Gerasev, “Nonequilibrium thermodynamics of autowave processes in a catalyst bed”, Phys. Usp., 47:10 (2004), 991–1016  mathnet  crossref  crossref  adsnasa  isi
    5. Yu. V. Bibik, S. P. Popov, D. A. Sarancha, “Numerical solution of the Bogoyavlenskii kinetic equation and the Lotka–Volterra system with diffusion”, Comput. Math. Math. Phys., 44:5 (2004), 856–867  mathnet  mathscinet  zmath
    6. Lobanova E., Shnol E., Ataullakhanov F., “Complex Dynamics of the Formation of Spatially Localized Standing Structures in the Vicinity of Saddle-Node Bifurcations of Waves in the Reaction-Diffusion Model of Blood Clotting”, Phys. Rev. E, 70:3, Part 1 (2004), 032903  crossref  mathscinet  adsnasa  isi  scopus
    7. Ataullakhanov F., Panteleev M., “Mathematical Modeling and Computer Simulation in Blood Coagulation”, Pathophysiol. Haemost. Thromb., 34:2-3 (2005), 60–70  crossref  isi  scopus
    8. Lobanov A., Starozhilova T., “The Effect of Convective Flows on Blood Coagulation Processes”, Pathophysiol. Haemost. Thromb., 34:2-3 (2005), 121–134  crossref  isi  scopus
    9. Ermakova E., Panteleev M., Shnol E., “Blood Coagulation and Propagation of Autowaves in Flow”, Pathophysiol. Haemost. Thromb., 34:2-3 (2005), 135–142  crossref  isi  scopus
    10. Yilmaz S., Kalkandelen A., Isayeva N., “Comparison of the T-Matrix Calculations for Erythrocytes with Oxygenated Hemoglobin and Immersed in Water”, J. Quant. Spectrosc. Radiat. Transf., 97:1 (2006), 20–28  crossref  adsnasa  isi  elib  scopus
    11. Tokarev A.A., Krasotkina Yu.V., Ovanesov M.V., Panteleev M.A., Azhigirova M.A., Volpert V.A., Ataullakhanov F.I., Butilin A.A., “Spatial Dynamics of Contact-Activated Fibrin Clot Formation in Vitro and in Silico in Haemophilia B: Effects of Severity and Ahemphil B Treatment”, Math. Model. Nat. Phenom., 1:2 (2006), 124–137  crossref  mathscinet  zmath  isi  elib  scopus
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    13. M. A. Tsyganov, V. N. Biktashev, J. Brindley, A. V. Holden, G. R. Ivanitskii, “Waves in systems with cross-diffusion as a new class of nonlinear waves”, Phys. Usp., 50:3 (2007), 263–286  mathnet  crossref  crossref  adsnasa  isi
    14. A. I. Lavrova, E. B. Postnikov, Yu. M. Romanovsky, “Brusselator: an abstract chemical reaction?”, Phys. Usp., 52:12 (2009), 1239–1244  mathnet  crossref  crossref  adsnasa  isi
    15. Volpert V., Petrovskii S., “Reaction-Diffusion Waves in Biology”, Phys. Life Rev., 6:4 (2009), 267–310  crossref  adsnasa  isi  elib  scopus
    16. Ermakova E.A., Shnol E.E., Panteleev M.A., Butylin A.A., Volpert V., Ataullakhanov F.I., “On Propagation of Excitation Waves in Moving Media: the Fitzhugh-Nagumo Model”, PLoS One, 4:2 (2009), e4454  crossref  adsnasa  isi  elib  scopus
    17. I. A. Kurilenko, A. I. Lobanov, A. V. Ukrainets, “Numerical study of the stability of some autowave solutions in a mathematical model of blood clotting”, BIOPHYSICS, 54:1 (2009), 51  crossref  elib  scopus
    18. Guria G.T., Herrero M.A., Zlobina K.E., “Ultrasound Detection of Externally Induced Microthrombi Cloud Formation: a Theoretical Study”, J. Eng. Math., 66:1-3 (2010), 293–310  crossref  zmath  isi  elib  scopus
    19. Galanzha E.I., Sarimollaoglu M., Nedosekin D.A., Keyrouz S.G., Mehta J.L., Zharov V.P., “In Vivo Flow Cytometry of Circulating Clots Using Negative Photothermal and Photoacoustic Contrasts”, Cytom. Part A, 79A:10, SI (2011), 814–824  crossref  isi  elib  scopus
    20. Dobrovolska T.S., Krastev I., Zabinski P., Kowalik R., Zielonka A., “Oscillations and Self-Organization Phenomena During Electrodeposition of Silver-Indium Alloys. Experimental Study”, Arch. Metall. Mater., 56:3 (2011), 645–657  crossref  isi  elib  scopus
    21. F. I. Ataullakhanov, K. S. Melnik, A. A. Butylin, “Molecular self-organization and multiple equilibrium systems”, BIOPHYSICS, 58:1 (2013), 120  crossref  elib  scopus
    22. Veleva L., Estrella-Gutierrez M.A., Dobrovolska Ts., Krastev I., “Cobalt-Indium Alloys Electrodeposition From Citrate Electrolyte and Spatio-Temporal Patterns Formation”, Rev. Mex. Ing. Quim., 12:2 (2013), 345–350  mathscinet  isi
    23. E. K. Vdovina, L. V. Pugina, K. A. Volosov, “The models of the pulsating process of blood clotting”, Math. Models Comput. Simul., 7:4 (2015), 360–373  mathnet  crossref  elib
    24. 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
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