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Annual Review of Condensed Matter Physics

Volume 9, 2018

Wave Propagation in Inhomogeneous Excitable Media

Abstract

Excitable media are ubiquitous in nature and can be found in physical, chemical, and biological systems that are far from thermodynamic equilibrium. The spatiotemporal self-organization of these systems has long attracted the deep interest of condensed matter physicists and applied mathematicians alike. Spatial inhomogeneity of excitable media leads to nontrivial spatiotemporal dynamics. Here, we report on well-established as well as recent developments in the experimental and theoretical studies of inhomogeneous excitable media.

Keyword(s): arrhythmogenesis, cardiology, phase singularities, physics to medicine, propagation block, spiral waves
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2018-03-10
2024-04-19
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Literature Cited

  1. Winfree AT. 1.  2000. The Geometry of Biological Time Berlin/Heidelberg: Springer
  2. Krinsky V, Swinney H. 2.  1991. Wave and Patterns in Biological and Chemical Excitable Media Amsterdam: North-Holland
  3. Kapral R, Showalter K. 3.  1995. Chemical Waves and Patterns Dordrecht, Neth.: Springer
  4. Zykov VS. 4.  1987. Simulation of Wave Processes in Excitable Media Manchester, UK: Manchester Univ. Press
  5. Mikhailov AS. 5.  1990. Foundation of Synergetics New York: Springer
  6. Kaplan D, Glass L. 6.  1995. Understanding Nonlinear Dynamics New York: Springer
  7. Izhikevich EM. 7.  2007. Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting Cambridge: MIT Press
  8. Sievers AJ, Takeno S. 8.  1998. Phys. Rev. Lett. 61:970
  9. Maimistov AI. 9.  2010. Quantum Electron 40:756–81
  10. Scott AC. 10.  1992. Phys. Rep. 217:1–67
  11. Carmelier E, Vereecke J. 11.  2002. Cardiac Cellular Electrophysiology Dordrecht, Neth.: Kluwer
  12. Rosenbaum D, Jalife J. 12.  2001. Optical Mapping of Cardiac Excitation and Arrhythmias New York: Wiley-Blackwell
  13. Karma A. 13.  2013. Annu. Rev. Condens. Matter Phys. 4:313–37
  14. Cirak1 F, Cisternas JE, Cuitio AM, Ertl G, Holmes P. 14.  et al. 2003. Science 300:1932–36
  15. Adamatzky AI. 15.  1997. Adv. Mater. Opt. Electron. 7:263–72
  16. Hodgkin AL, Huxley AF. 16.  1952. J. Physiol. 117:500–44
  17. Noble D. 17.  1962. J. Physiol. 160:317–52
  18. Fenton FH, Karma A. 18.  1998. Chaos 8:20–47
  19. Field RJ, Noyes RM. 19.  1974. J. Chem. Phys. 60:1877–84
  20. Martiel JL, Goldbeter A. 20.  1987. Biophys. J. 52:807–28
  21. FitzHugh R. 21.  1961. Biophys. J. 1:445–66
  22. Nagumo J, Arimoto S, Yoshizawa S. 22.  1962. Proc. Inst. Radio Eng. 50:2061–70
  23. Tyson JJ, Fife PC. 23.  1980. J. Chem. Phys. 73:2224–37
  24. Rinzel J, Keller JB. 24.  1973. Biophys. J. 13:1313–37
  25. Barkley D. 25.  1991. Physica D 49:61–70
  26. Tyson JJ, Keener JP. 26.  1988. Physica D 32:327–61
  27. Zykov VS, Krekhov A, Bodenschatz E. 27.  2017. PNAS 114:1281–86
  28. Janke W, Henze C, Winfree AT. 28.  1988. Nature 336:662–65
  29. Fisher RA. 29.  1937. Ann. Eugen. 7:355–69
  30. Kolmogorov AN, Petrovsky IG, Piskunov NS. 30.  1937. Bull. Moscow Univ., Math. Mech. 1:1–25
  31. Zeldovich YB, Frank-Kaminetskii. 31.  1938. Zh. Fiz. Khim. 12:100–5
  32. Casten R, Cohen H, Lagerstrom P. 32.  1975. Quart. Appl. Math. 32:365–402
  33. Ortoleva P, Ross J. 33.  1975. J. Chem. Phys. 63:3398–408
  34. Keener JP. 34.  1980. SIAM J. Appl. Math. 39:528–48
  35. Dockery JD, Keener JP, Tyson JJ. 35.  1988. Physica D 30:177–91
  36. Kessler DA, Levine H. 36.  1989. Physica D 39:1–14
  37. Lewis TJ, Keener JP. 37.  2000. SIAM J. Appl. Math. 61:293–316
  38. Keener JP, Sneyd J. 38.  2008. Mathematical Physiology New York: Springer
  39. Gao X, Zhang H, Zykov V, Bodenschatz E. 39.  2014. New J. Phys. 16:033012
  40. Pauwelussen JP. 40.  1981. Physica D 4:67–88
  41. Mornev OA. 41.  1984. Self-Organ. Autowaves Struct. Equilib. 28:111–18
  42. Zemlin CW, Pertsov AM. 42.  2007. Europace 9:vi59–63
  43. Zemlin CW, Mitera BG, Pertsov AM. 43.  2009. Physica D 238:969–75
  44. Zykov V, Oikawa N, Bodenschatz E. 44.  2011. Phys. Rev. Lett. 107:254101
  45. Zykov V, Bodenschatz E. 45.  2014. Phys. Rev. Lett. 112:054101
  46. Meron E. 46.  1992. Phys. Rep. 218:1–66
  47. Fox JJ, Gilmour RF, Bodenschatz E. 47.  2002. Phys. Rev. Lett. 89:198101
  48. Fast VG, Kleber AG. 48.  1997. Cardiovasc. Res. 33:258–71
  49. Steinbock O, Zykov VS, Müller SC. 49.  1993. Phys. Rev. E 48:3295–98
  50. Kuhnert L, Agladze KI, Krinsky VI. 50.  1989. Nature 337:244–47
  51. Zykov VS, Morozova OI. 51.  1980. Biophysics 24:739–44
  52. Zykov VS. 52.  1980. Biophysics 25:906–11
  53. Keener JP. 53.  1986. SIAM J. Appl. Math. 46:1039–56
  54. Gomatam J, Hodson D. 54.  1991. Physica D 49:82–89
  55. Davydov VA, Zykov VS. 55.  1991. Physica D 49:71–74
  56. Zykov VS, Müller SC. 56.  1996. Physica D 97:322–32
  57. Davydov VA, Manz N, Steinbock O, Zykov VS, Müller SC. 57.  2000. Phys. Rev. Lett. 85:868–71
  58. Forester P, Müller SC, Hess B. 58.  1988. Science 241:685–87
  59. Forester P, Müller SC, Hess B. 59.  1989. PNAS 86:6831–34
  60. Forester P, Müller SC, Hess B. 60.  1990. J. Phys. Chem. 94:8859–61
  61. Forester P, Müller SC, Hess B. 61.  1990. Development 109:11–16
  62. Cabo C, Pertsov AM, Baxter WT, Davidenko JM, Gray RA, Jalife J. 62.  1994. Circ. Res. 75:1014–28
  63. Zykov VS, Mikhailov AS, Müller SC. 63.  1998. Phys. Rev. Lett. 81:2811–14
  64. Zykov VS, Müller SC. 64.  1998. Chaos Solitons Fractals 10:777–82
  65. Zeldovich YaB, Barenblat GI, Librovich VB, Makhviladze GM. 65.  1985. Mathematical Theory of Combustion and Explosion New York: Consult. Bur.
  66. Horvath D, Showalter K. 66.  1995. J. Chem. Phys. 102:2471–78
  67. Thul R, Falcke M. 67.  2004. Phys. Rev. Lett. 93:188103
  68. Panfilov AV. 68.  2002. Phys. Rev. Lett. 88:118101
  69. Ten Tusscher KHWJ, Panfilov AV. 69.  2003. Phys. Rev. E 68:062902
  70. Ten Tusscher KHWJ, Panfilov AV. 70.  2003. Multiscale Model Simul 3:265–82
  71. Keener J. 71.  2000. Physica D 136:1–17
  72. Xin J. 72.  2000. SIAM Rev 42:161–230
  73. Runborg O, Theodoropoulos C, Kevrekidis IG. 73.  2002. Nonlinearity 15:491–511
  74. Shajahan TK, Borek B, Shrier A, Glass L. 74.  2011. Phys. Rev. E 84:046208
  75. Alonso S, Kapral R, Bär M. 75.  2009. Phys. Rev. Lett. 102:238302
  76. Alonso S, Bär M, Kapral R. 76.  2009. J. Chem. Phys. 131:214102
  77. Alonso S, Löber J, Bär M, Engel H. 77.  2010. Eur. Phys. J. Spec. Top. 187:31–40
  78. Agladze K, Aliev RR, Yamaguchi T, Yoshikawa K. 78.  1996. J. Phys. Chem. 100:13895–97
  79. Sendina-Nadal I, De Castro M, Sagues F, Gomez-Gesteria M. 79.  2002. Phys. Rev. E 66:016215
  80. Toth A, Gaspar V, Showalter K. 80.  1994. J. Phys. Chem. 98:522–31
  81. Toth A, Showalter K. 81.  1995. J. Chem. Phys. 103:2058–66
  82. Goldstein SS, Rall W. 82.  1974. Biophys. J. 14:731–57
  83. Quiao L, Kevrekidis IG, Punckt C, Rotermund HH. 83.  2006. Phys. Rev. E 73:036219
  84. Kogan BY, Karplus WJ, Billett BS, Stevenson WG. 84.  1992. Physica D 59:275–96
  85. Wiener N, Rosenblueth A. 85.  1946. Arch. Inst. Cardiol. Mex. 16:205–65
  86. Pertsov AM, Ermakova EA, Panfilov AV. 86.  1984. Physica D 14:117–24
  87. Zykov VS, Bordyugov G, Lentz H, Engel H. 87.  2010. Physica D 239:797–807
  88. Nakouzi E, Totz JF, Zhang Z, Steinbock O, Engel H. 88.  2016. Phys. Rev. E 93:022203
  89. Biktashev VN, Barkley D, Biktasheva IV. 89.  2010. Phys. Rev. Lett. 104:058302
  90. Löber J, Engel H. 90.  2013. Phys. Rev. E 93:022203
  91. Gulko FB, Petrov AA. 91.  1972. Biophysics 17:261–66
  92. Iyer AN, Gray RA. 92.  2001. Ann. Biomed. Eng. 29:47–59
  93. Fenton FH, Cherry EM, Hastings HM, Evans SJ. 93.  2002. Chaos 12:852–92
  94. Moe GK, Abildskov JA. 94.  1959. Am. Heart J. 58:59–70
  95. Moe GK, Rheinboldt WC, Abildskov JA. 95.  1964. Am. Heart J. 67:200–20
  96. Zykov VS, Petrov AA. 96.  1977. Biophysics 22:307–14
  97. Panfilov AV, Keener JP. 97.  1993. J. Theor. Biol 163:439–48
  98. Quail T, Shrier A, Glass L. 98.  2014. Phys. Rev. Lett. 113:158101
  99. Agladze K, Keener JP, Müller SC, Panfilov AV. 99.  1994. Science 264:1746–48
  100. Cabo C, Pertsov AM, Davidenko JM, Baxter WT, Gray RA, Jalife J. 100.  1996. Biophys. J. 70:1105–11
  101. Bär M, Bandia AK, Kevrekidis IG, Haas G, Rotermund H-H, Ertl G. 101.  1996. J. Phys. Chem. 100:19106–17
  102. Majumder R, Pandit R, Panfilov AV. 102.  2014. Am. J. Physiol. Heart Circ. Physiol. 307:H1024–35
  103. Nattel S. 103.  2008. Circ. Res 102:1298–300
  104. Davydov VA, Zykov VS, Mikhailov AS. 104.  1991. Sov. Phys. Usp. 34:665–84
  105. Biktashev VN, Holden A. 105.  1994. J. Theor. Biol. 169:101–12
  106. Hakim V, Karma A. 106.  1999. Phys. Rev. E 60:5073–105
  107. Sandstede B, Scheel A, Wulf C. 107.  1999. J. Nonlin. Sci. 9:439–78
  108. Zykov VS, Engel H. 108.  2007. World Sci. Lect. Notes Complex Syst. 5:243–72
  109. Elkin YE, Biktashev VN. 109.  1999. J. Biol. Phys. 25:129–47
  110. Wellner M, Pertsov AM, Jalife J. 110.  1999. Phys. Rev. E 59:5192–204
  111. Biktasheva IV, Barkley D, Biktashev VN, Foulkers AJ. 111.  2010. Phys. Rev. E 81:066202
  112. Kudryashova NN, Teplenin AS, Orlova YV, Selina LV, Agladze K. 112.  2004. J. Mol. Cell. Cardiol. 76:227–34
  113. Kudryashova NN, Kazbanov IV, Panfilov AV, Agladze KI. 113.  2015. PLOS ONE 10:e0141832
  114. Jimenez ZA, Marts B, Steinbock O. 114.  2009. Phys. Rev. Lett. 102:244101
  115. Pertsov AM, Wellner M, Vinson M, Jalife J. 115.  2000. Phys. Rev. Lett. 84:2738–41
  116. Dutta S, Steinbock O. 116.  2011. Phys. Chem. Lett. 2:945–49
  117. Margerit D, Barkley D. 117.  2002. Chaos 12:636–49
  118. Yakushevich LV. 118.  1984. Stud. Biophys. 100:195–200
  119. Biktashev VN, Holden AV, Zhang H. 119.  1994. Philos. Trans. R. Soc. A 347:611–30
  120. Alonso S, Bär M, Panfilov AV. 120.  2013. Bull. Math. Biol. 75:1351–76
  121. Spreckelsen R, Hornung D, Steinbock O, Parlitz U, Luther S. 121.  2015. Phys. Rev. E 92:042920
  122. Vinson M, Mironov S, Mulvey S, Pertsov A. 122.  1997. Nature 386:477–80
  123. Amemiya T, Kettunen P, Kadar S, Yamaguchi T, Showalter K. 123.  1998. Chaos 8:872–78
  124. Amemiya T, Kadar S, Kettunen P, Showalter K. 124.  1996. Phys. Rev. Lett. 77:3244–47
  125. Adamatzky A, De Lacy Costello B. 125.  2002. Phys. Rev. E 66:046112
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Wave Propagation in Inhomogeneous Excitable Media
Annual Review of Condensed Matter Physics 9, 435 (2018); https://doi.org/10.1146/annurev-conmatphys-033117-054300
/content/journals/10.1146/annurev-conmatphys-033117-054300
/content/journals/10.1146/annurev-conmatphys-033117-054300
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