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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)


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.


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English version:
Physics–Uspekhi, 2002, 45:6, 619–636

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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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    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
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    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
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