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In order to simulate the phenomenon that electric shock defibrillation shortens action potential duration, the synchronous repolarization process is introduced into Luo-Rudy phase I model of cardiac tissue. Effects of synchronous repolarization on dynamics of spiral waves and spatiotemporal chaos are investigated. Numerical results show that when the control period is small, the synchronous repolarization can effectively eliminate spiral waves and spatiotemporal chaos. However, the synchronous repolarization can only eliminate spiral waves or spatiotemporal chaos under some control parameters. When spiral waves cannot be controlled, the transition from spiral wave to spatiotemporal chaos or the spiral wave with longer period and wavelength is observed. The control mechanism is analyzed.
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Keywords:
- spiral waves /
- spatiotemporal chaos /
- synchronous repolarization /
- control
[1] Gray R A, Jalife J, Panfilov A V, Baxter W T, Cabo C, Davidenko J M, Pertsov A M 1995 Science 270 1222
[2] Davidenko J M, Pertsov A V, Salomonsz R, Baxter W, Jalife J 1992 Nature 355 349
[3] Piller L W 1970 Electronic instrumentation theory of cardiac technology (London:Staples Press)
[4] Sinha S, Pande A, Pandit R 2001 Phys. Rev. Lett. 86 3678
[5] Zhong M, Tang G N 2010 Acta Phys. Sin. 59 1593 (in Chinese) [钟敏, 唐国宁 2010 物理学报 59 1593]
[6] Yu L C, Ma J, Zhang G Y, Chen Y 2008 Chin. Phys. Lett. 25 2706
[7] Kuang Y L, Tang G N 2012 Acta Phys. Sin. 61 100504 (in Chinese) [邝玉兰, 唐国宁 2012 物理学报 61 100504]
[8] Shajahan T K, Nayak A R, Pansit R 2009 Plos One 4 e4738
[9] Yuan G Y, Yang S P, Wang G R, Chen S G 2008 Chin. Phys. B 17 1925
[10] Kuang Y L, Tang G N 2012 Acta Phys. Sin. 61 190501 (in Chinese) [邝玉兰, 唐国宁 2012 物理学报 61 190501]
[11] Ma J,Ying H P, Li Y L 2007 Chin. Phys. 16 955
[12] Walker R G, Koster R W, Sun C, Moffat G, Barger J, Dodson P P, Chapman F W 2009 Resuscitation 80 773
[13] Smits K, Virag N 2010 Annals of Biomedical Engineering 38 1314
[14] Doherty P W, McLaughlin P R, Billingham M, Kernoff R, Goris M L, Harrison D C 1979 Am. J. Cardiol. 43 225
[15] Babbs C F, Tacker W A, VanVleet J F, Bourland J D, Geddes L A 1980 Am. Heart J. 99 734
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[17] Dillon S M 1992 Circulation 85 1865
[18] Dillon S M 1991 Circ. Res. 69 842
[19] Cheng Y, Mowrey K A, Van Wagoner D R, Tchou P J, Efimov I R 1999 Circ. Res. 85 1056
[20] Knisley S B, Smith W M, Ideker R E 1994 Am. J. Physiol. Heart Circ. Physiol. 266 H2348
[21] Luo C H, Rudy Y 1991 Circ. Res. 68 1501
[22] Cao Z J 2006 Doctoral Dissertation (Beijing Normal University) (in Chinese) [曹周健 2006 博士学位论文(北京师范大学)]
[23] Rush S, Larsen H 1978 IEEE Trans. Biomed. Eng. 25 389
[24] Edelson D P, Abella B S, Kramer-Johansen J, Wik L, Myklebust H, Barry A M, Merchant R M, Vanden Hoek T L, Steen P A, Becker L B 2006 Resuscitation 71 137
[25] Trayanova N, Constantino J, Ashihara T, Plank G 2011 IEEE Rev. Biomed. Eng. 4 89
[26] Yu C G, Bai R, Chen D L, Huang Y 2008 Cardiac electrophysiology basic and clinical (Wuhan: Huazhong University of Science and Technology Press) p131 [余承高, 白融, 陈栋梁, 黄勇 2008 心脏电生理学基础与临床(武汉:华中科技大学出版社)第131页]
[27] Eick R T, Nawrath H, McDonald T F, Trautwein W 1976 Pflgers Arch. 361 207
[28] Rosenshtraukh L, Danilo Jr P, Anyukhovsky E P, Steinberg S F, Rybin V, Brittain-Valenti K, Molina-Viamonte V, Rosen M R 1994 Circ. Res. 75 722
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[1] Gray R A, Jalife J, Panfilov A V, Baxter W T, Cabo C, Davidenko J M, Pertsov A M 1995 Science 270 1222
[2] Davidenko J M, Pertsov A V, Salomonsz R, Baxter W, Jalife J 1992 Nature 355 349
[3] Piller L W 1970 Electronic instrumentation theory of cardiac technology (London:Staples Press)
[4] Sinha S, Pande A, Pandit R 2001 Phys. Rev. Lett. 86 3678
[5] Zhong M, Tang G N 2010 Acta Phys. Sin. 59 1593 (in Chinese) [钟敏, 唐国宁 2010 物理学报 59 1593]
[6] Yu L C, Ma J, Zhang G Y, Chen Y 2008 Chin. Phys. Lett. 25 2706
[7] Kuang Y L, Tang G N 2012 Acta Phys. Sin. 61 100504 (in Chinese) [邝玉兰, 唐国宁 2012 物理学报 61 100504]
[8] Shajahan T K, Nayak A R, Pansit R 2009 Plos One 4 e4738
[9] Yuan G Y, Yang S P, Wang G R, Chen S G 2008 Chin. Phys. B 17 1925
[10] Kuang Y L, Tang G N 2012 Acta Phys. Sin. 61 190501 (in Chinese) [邝玉兰, 唐国宁 2012 物理学报 61 190501]
[11] Ma J,Ying H P, Li Y L 2007 Chin. Phys. 16 955
[12] Walker R G, Koster R W, Sun C, Moffat G, Barger J, Dodson P P, Chapman F W 2009 Resuscitation 80 773
[13] Smits K, Virag N 2010 Annals of Biomedical Engineering 38 1314
[14] Doherty P W, McLaughlin P R, Billingham M, Kernoff R, Goris M L, Harrison D C 1979 Am. J. Cardiol. 43 225
[15] Babbs C F, Tacker W A, VanVleet J F, Bourland J D, Geddes L A 1980 Am. Heart J. 99 734
[16] VanVleet J F, Tacker W A, Cechner P E, Bright R M, Greene J A, Raffee M R, Geddes L A, Ferrans V J 1978 Am. J. Vet. Res. 39 981
[17] Dillon S M 1992 Circulation 85 1865
[18] Dillon S M 1991 Circ. Res. 69 842
[19] Cheng Y, Mowrey K A, Van Wagoner D R, Tchou P J, Efimov I R 1999 Circ. Res. 85 1056
[20] Knisley S B, Smith W M, Ideker R E 1994 Am. J. Physiol. Heart Circ. Physiol. 266 H2348
[21] Luo C H, Rudy Y 1991 Circ. Res. 68 1501
[22] Cao Z J 2006 Doctoral Dissertation (Beijing Normal University) (in Chinese) [曹周健 2006 博士学位论文(北京师范大学)]
[23] Rush S, Larsen H 1978 IEEE Trans. Biomed. Eng. 25 389
[24] Edelson D P, Abella B S, Kramer-Johansen J, Wik L, Myklebust H, Barry A M, Merchant R M, Vanden Hoek T L, Steen P A, Becker L B 2006 Resuscitation 71 137
[25] Trayanova N, Constantino J, Ashihara T, Plank G 2011 IEEE Rev. Biomed. Eng. 4 89
[26] Yu C G, Bai R, Chen D L, Huang Y 2008 Cardiac electrophysiology basic and clinical (Wuhan: Huazhong University of Science and Technology Press) p131 [余承高, 白融, 陈栋梁, 黄勇 2008 心脏电生理学基础与临床(武汉:华中科技大学出版社)第131页]
[27] Eick R T, Nawrath H, McDonald T F, Trautwein W 1976 Pflgers Arch. 361 207
[28] Rosenshtraukh L, Danilo Jr P, Anyukhovsky E P, Steinberg S F, Rybin V, Brittain-Valenti K, Molina-Viamonte V, Rosen M R 1994 Circ. Res. 75 722
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