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Calcium ion spiral wave induced by random released calcium ion sparks in single heart cell is studied using the improved discrete fire-diffuse-fire model and phase analysis method. The results show that calcium ion spiral wave can be excited in resting heart cell by calcium ion sparks at an appropriate release frequency. The key of the generation of calcium ion spiral wave is the emergence of the phase singularity caused by the calcium sparks in the different time and space sequences. The number of phase singularity is exponentially linked with calcium ion spark frequency, and has the limit in a fixed system.
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Keywords:
- heart cell /
- Ca2+ spark /
- Ca2+ spiral wave /
- phase singularity
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[1] Clapham D E 1995 Cell 80 259
[2] Berridge M J, Lipp P, Bootman M D 2000 Nat. Rev. Mol. Cell Biol. 1 11
[3] Carafoli E, Santella L, Brance D, Brini M 2001 Crit. Rev. Biochem. Mol. Biol. 36 107
[4] Berridge M J, Bootman M D, Llewelyn Roderick H 2003 Nat. Rev. Mol. Cell Biol. 4 517
[5] Bers D M 2002 Nature 415 198
[6] Cheng H, Lederer W J, Cannell M B 1993 Science 262 740
[7] Cheng H, Lederer M R, Lederer W J, Cannell M B 1996 Am. J. Physiol. 270 C148
[8] Lukyanenko V, Györke S 1999 J. Physiol. 521 575
[9] Bjornstad O N, Peltonen M, Liebhold A M, Baltensweiler W 2002 Science 298 1020
[10] Keizer J, Smith G D 1998 Biophys. Chem. 72 87
[11] Coombes S, Timofeeva Y 2003 Phys. Rev. E 68 021915
[12] Bai Y Q, Zhu X 2010 Chin. Phys. Lett. 27 048201
[13] Gray R A, Pertsov A M, Jalife J 1998 Nature 392 75
[14] Iyer A N, Gray R A 2001 Ann. Biomed. Eng. 29 47
[15] Falcke M, Tsimring L, Levine H 2000 Phys. Rev. E 62 2636
[16] Bai Y, Tang A, Wang S, Zhu X 2008 J. Microsc. 229 555
[17] Tang A H, Wang S Q 2009 Chaos 19 037114
[18] Gotoh M, Uchida T, Mandel W J, Fishbein M C, Chen P S, Karagueuzian H S 1997 Circulation 95 2141
[19] Marée A F M, Panfilov A V 1997 Phys. Rev. Lett. 78 1819
[20] Tang D N, Tang G N 2010 Acta Phys. Sin. 59 2319 (in Chinese) [唐冬妮, 唐国宁 2010 59 2319]
[21] Qiu K, Tang J, Ma J, Luo J M 2010 Chin. Phys. B 19 030508
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