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

, , , ,
Research Center for Hematology, Russan Academy of Medical Sciences, Novozykovskii proezd 4a, Moscow, 125167, Russian Federation

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.

Fulltext pdf (665 KB)
Fulltext is also available at DOI: 10.1070/PU2002v045n06ABEH001090
PACS: 05.45.−a, 87.10.+e, 87.19.Uv (all)
DOI: 10.1070/PU2002v045n06ABEH001090
URL: https://ufn.ru/en/articles/2002/6/c/
000178593100003
Citation: Ataullakhanov F I, Zarnitsyna V I, Kondratovich A Yu, Lobanova E S, Sarbash V I "A new class of stopping self-sustained waves: a factor determining the spatial dynamics of blood coagulation" Phys. Usp. 45 619–636 (2002)
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Оригинал: Атауллаханов Ф И, Зарницына В И, Кондратович А Ю, Лобанова Е С, Сарбаш В И «Особый класс автоволн — автоволны с остановкой — определяет пространственную динамику свертывания крови» УФН 172 671–690 (2002); DOI: 10.3367/UFNr.0172.200206c.0671

References (97) ↓ Cited by (30) Similar articles (20)

  1. Kerner B S, Osipov V Avtosolitony (Autosolitons, Moscow: Nauka, 1991) [Translated into English (Dordrecht: Kluwer Acad., 1994)]
  2. Golant V E, Zhilinski A P, Sakharov S A Osnovy Fiziki Plazmy (Fundamentals of Plasma Physics, Moscow: Atomizdat, 1977) [Translated into English (New York: Wiley, 1980)]
  3. Rabinovich M I, Trubetskov D I Vvedenie v Teoriyu Kolebaniî i Voln (Introduction to the Theory of Oscillations and Waves, Moscow: Nauka, 1984) [Translated into English: Oscillations and Waves in Linear and Nonlinear Systems (Dordrecht: Kluwer Acad. Publ., 1989)]
  4. Zaslavskiî G M, Meîtlis V P, Filonenko N N Vzaimodeîstvie Voln v Neodnorodnykh Sredakh (Wave Interaction in Inhomogeneous Media, Novosibirsk: Nauka, 1982)
  5. Kadomtsev B B Kollektivnye Yavleniya v Plazme (Collective Phenomena in Plasma, Moscow: Nauka, 1988) ["Cooperative effects in plasmas", in Reviews of Plasma Physics Vol. 22 (Ed. V D Shafranov, New York: Kluwer Acad./ Consultants Bureau, 2001) p. 1]
  6. Trubetskov D I, Rozhnev A G Lineînye Kolebaniya i Volny (Linear Oscillations and Waves, Moscow: Fizmatlit, 2001)
  7. Zhabotinskiî A M Kontsentratsionnye Avtokolebaniya (Self-Sustained Concentration Oscillations, Moscow: Nauka, 1974)
  8. Nicolis G, Prigogine I Self-Organization in Nonequilibrium Systems (New York: Wiley, 1977) [Translated into Russian (Moscow: Mir, 1979)]
  9. Field R J, Burger M (Eds) Oscillations and Traveling Waves in Chemical Systems (New York: Wiley, 1985)
  10. de Wit A Adv. Chem. Phys. 109 435 (1999)
  11. Turing A M Philos. Trans. R. Soc. London Ser. B 237 37 (1952)
  12. Koch A J, Meinhardt H Rev. Mod. Phys. 66 1481 (1994)
  13. Romanovskiî Yu M, Stepanova N V, Chernavskiî D S Matematicheskaya Biofizika (Mathematical Biophysics, Moscow: Nauka, 1984)
  14. Ivanitskiî G R, Krinskiî V I, Sel’kov E E Matematicheskaya Biofizika Kletki (Mathematical Biophysics of the Cell, Moscow: Nauka, 1978)
  15. Ivanitskiî G R, Medvinskiî A B, Tsyganov M A Usp. Fiz. Nauk 161 (4) 13 (1991) [Sov. Phys. Usp. 34 289 (1991)]
  16. Ivanitskiî G R, Medvinskiî A B, Tsyganov M A Usp. Fiz. Nauk 164 1041 (1994) [Phys. Usp. 37 961 (1994)]
  17. Sinergetika i Psikhologiya. Teksty. Vyp. 2. Sotsial’nye Protsessy (Synergetics and Psychology. Texts. No. 2. Social Processes, Ed I N Trofimova, Moscow: Yanus-K, 2000)
  18. FitzHugh R A Biophys. J. 1 445 (1961)
  19. Nagumo J, Arimoto S, Yoshizawa S Proc. IRE 50 2061 (1962)
  20. Nekorkin V I Izv. Vyssh. Uchebn. Zaved. Radiofiz. 31 (1) 41 (1988)
  21. Kolmogorov A N, Petrovskiî I G, Piskunov N S Byull. MGU. Mat. Mekh. 1 (6) 1 (1937)
  22. Hodgkin A L, Huxley A F J. Physiol. 116 449 (1952)
  23. Avtovolnovye Protsessy v Sistemakh s Diffuzieî (Self-Sustained Wave Processes in Systems with Diffusion, Ed M T Grekhova, Gorky: Izd. IPF AN SSSR, 1981)
  24. Vasil’ev V A, Romanovskiî Yu M, Yakhno V G Avtovolnovye Protsessy (Self-Sustained Wave Processes, Moscow: Nauka, 1987)
  25. Krinskiî V I, Mikhaîlov A S Avtovolny (Self-Sustained Waves, Moscow: Znanie, 1984)
  26. Aslanidi O V, Mornev O A Pis’ma Zh. Eksp. Teor. Fiz. 65 553 (1997) [JETP Lett. 65 579 (1997)]
  27. Aslanidi O V, Mornev O A Mat. Modelirovanie 11 (9) 3 (1999)
  28. Mornev O A et al. Doklady Ross. Akad. Nauk 347 123 (1996) [Dokl. Biophys. 346-348 21 (1996)]
  29. Mimura M, Nagayama M Chaos 7 817 (1997)
  30. Krischer K, Mikhailov A Phys. Rev. Lett. 73 3165 (1994)
  31. Oertzen A et al. J. Phys. Chem. B 102 4966 (1998)
  32. Zaikin A N Fizicheskaya Mysl’ Rossii 1 54 (1995)
  33. Zykov V S Modelirovanie Volnovykh Protsessov v Vozbudimykh Sredakh (Simulation of Wave Processes in Excitable Media, Moscow: Nauka, 1984) [Translated into English (Manchester: Manchester Univ. Press, 1987)]
  34. Cross M C, Hohenberg P C Rev. Mod. Phys. 65 851 (1993)
  35. Mornev O A, Panfilov A V, Aliev R R Biofiz. 37 (1) 123 (1992) [Biophys. 37 104 (1992)]
  36. Loskutov A Yu, Mikhaîlov A S Vvedenie v Sinergetiku (Introduction to Synergetics, Moscow: Nauka, 1990)
  37. Hagberg A, Meron E Nonlinearity 7 805 (1994)
  38. Elphick C, Hagberg A, Meron E Phys. Rev. E 51 3052 (1995)
  39. Hagberg A, Meron E Phys. Rev. Lett. 72 2494 (1994)
  40. Hagberg A, Meron E Chaos 4 477 (1994)
  41. Elphick C et al. Phys. Lett. A 230 33 (1997)
  42. Ataullakhanov F I et al. Biochim. Biophys. Acta 1425 453 (1998)
  43. Ataullakhanov F I, Guriya G T Biofiz. 39 (1) 89 (1994) [Biophys. 39 91 (1994)]
  44. Ataullakhanov F I, Guriya G T, Safroshkina A Yu Biofiz. 39 99 (1994) [Biophys. 39 99 (1994)]
  45. Zarnitsina V I, Pokhilko A V, Ataullakhanov F I Thromb. Res. 84 225 (1996)
  46. Zarnitsina V I, Pokhilko A V, Ataullakhanov F I Thromb. Res. 84 333 (1996)
  47. Zarnitsina V I et al. Chaos 11 57 (2001)
  48. Starozhilova T K, Lobanov A I, Guriya G T Mat. Modelirovanie 9 (2) 21 (1997)
  49. Lobanov A I, Starozhilova T K, Guriya G T Mat. Modelirovanie 9 (8) 83 (1997)
  50. Guriya G T, Lobanov A I, Starozhilova T K Biofiz. 43 526 (1998) [Biophys. 43 496 (1998)]
  51. Lobanov A I, Starozhilova T K Mat. Modelirovanie 9 (12) 3 (1997)
  52. Kobayashi R, Ohta T, Hayase Y Phys. Rev. E 50 R3291 (1994)
  53. Hayase Y, Ohta T Phys. Rev. E 62 5998 (2000)
  54. Ohta T, Hayase Y, Kobayashi R Phys. Rev. E 54 6074 (1996)
  55. Ito A, Ohta T Phys. Rev. A 45 8374 (1992)
  56. Zimmermann M G et al. Physica D 110 92 (1997)
  57. Schenk C P et al. Phys. Rev. E 57 6480 (1998)
  58. Schenk C P et al. Phys. Rev. Lett. 78 3781 (1997)
  59. Or-Guil M et al. Phys. Rev. E 57 6432 (1998)
  60. Osipov V V, Severtsev A V Phys. Lett. A 222 400 (1996)
  61. Muratov C B, Osipov V V Physica D 155 112 (2001)
  62. Li Ge et al. Phys. Rev. Lett. 77 2105 (1996)
  63. Nishiura Y, Ueyama D Physica D 150 137 (2001)
  64. Reynolds W N, Pearson J E, Ponce-Dawson S Phys. Rev. Lett. 72 2797 (1994)
  65. Reynolds W N, Ponce-Dawson S, Pearson J E Phys. Rev. E 56 185 (1997)
  66. Bode M, Purwins H-G Physica D 86 53 (1995)
  67. Ammelt E, Astrov Yu A, Purwins H-G Phys. Rev. E 55 6731 (1997)
  68. Astrov Yu et al. Phys. Lett. A 211 184 (1996)
  69. Radehaus C et al. Phys. Rev. A 45 2546 (1992)
  70. Astrov Yu A, Ammelt E, Purwins H-G Phys. Rev. Lett. 78 3129 (1997)
  71. Meixner M, Bose S, Schöll E Physica D 109 128 (1997)
  72. Bose S, Rodin P, Schöll E Phys. Rev. E 62 1778 (2000)
  73. Lechleiter J et al. Science 252 123 (1991)
  74. Hofer T, Sherratt J A, Main P K Physica D 85 425 (1995)
  75. Mair T, Müller S C J. Biol. Chem. 271 627 (1996)
  76. Buki A, Karpati-Smidroczki E, Zrinyi M Physica A 220 357 (1995)
  77. Tsyganov I M et al. Dokl. Ross. Akad. Nauk 346 825 (1996) [Dokl. Biophys. 346-348 7 (1996)]
  78. Medvinsky A G et al. Physica D 64 267 (1993)
  79. Rovinsky A, Menzinger M Phys. Rev. A 46 6315 (1992)
  80. Khrustova N et al. Phys. Rev. Lett. 75 3564 (1995)
  81. Blanchedeau P, Boissonade J, De Kepper P Physica D 147 283 (2000)
  82. Castets V et al. Phys. Rev. Lett. 64 2953 (1990)
  83. Vanag V K et al. Nature 406 389 (2000)
  84. Zhabotinsky A M, Eager M D, Epstein I R Phys. Rev. Lett. 71 1526 (1993)
  85. Bugrim A E, Zhabotinsky A M, Epstein I R Biophys. J. 73 2897 (1997)
  86. Mann K G Thromb. Haemostasis 82 165 (1999)
  87. Levin S N Science 152 651 (1966)
  88. Naito K, Fujikawa K J. Biol. Chem. 266 7353 (1991)
  89. Gailani D, Broze G J Science 253 909 (1991)
  90. Khanin M A, Semenov V V J. Theor. Biol. 136 127 (1989)
  91. Semenov V V, Khanin M A Biofiz. 35 (1) 139 (1990)
  92. Beguin S, Lindhout T, Hemker H C Thromb. Haemostasis 60 457 (1988)
  93. Kessels H, Willems G M, Hemker H C Comp. Biol. Med. 24 277 (1994)
  94. Navdaev A V "Osobennosti razvitiya fibrinovogo sgustka v plazme krovi in vitro" (`In vitro fibrin clot formation in blood plasma’), Thesis for Candidate of Biological Sciences (Moscow: Institute of Experimental Cardiology, 1997)
  95. Berg D T, Wiley M R, Grinnell B W Science 273 1389 (1996)
  96. Mathur A, Schlapkohl W A, Di Cera E Biochemistry 32 7568 (1993)
  97. Esmon C T, Esmon N L, Harris K W J. Biol. Chem. 257 7944 (1982)
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