Quantifying the Attractive Force Exerted on the Pinned Calcium Spiral Waves by Using the Adventive Field

doi:10.1088/0256-307X/30/11/118701

Chin. Phys. Lett.

2013, Vol. 30

Issue (11): 118701 DOI: 10.1088/0256-307X/30/11/118701

CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY

Quantifying the Attractive Force Exerted on the Pinned Calcium Spiral Waves by Using the Adventive Field

QIU Kang¹, TANG Jun^2**, LUO Jin-Ming², MA Jun³

¹Department of Mathematics and Physics, Xuzhou Medical College, Xuzhou 221004
²College of Science, China University of Mining and Technology, Xuzhou 221116
³Department of Physics, Lanzhou University of Technology, Lanzhou 730050

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QIU Kang, TANG Jun, LUO Jin-Ming et al 2013 Chin. Phys. Lett. 30 118701

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Abstract The cytosolic calcium system is inhomogenous because of the discrete and random distribution of ion channels on the ER membrane. It is well known that the spiral tip can be pinned by the heterogenous area, and the field can detach the spiral from the heterogeneity. We use the adventive field to counteract the attractive force exerting on the calcium spiral wave by the heterogeneity, then the strength of the adventive field is used to quantify the attractive force indirectly. Two factors determining the attractive force are studied. It is found that: (1) the attractive force sharply increases with size of the heterogeneity for small-size heterogeneity, whereas the force increases to a saturated value for large-size heterogeneity; (2) for large-size heterogeneity, the force almost remains constant unless the level of the heterogeneity vanishes, the force decreases to zero linearly and sharply, and for small-size heterogeneity, the force decreases successively with the level of the heterogeneity. Furthermore, it is found that the forces exist only when the spiral tip is very close to the heterogenous area. Our study may shed some light on the control or suppression of the calcium spiral wave.

Received: 02 June 2013 Published: 30 November 2013

PACS:	87.17.Aa	(Modeling, computer simulation of cell processes)
	82.40.Ck	(Pattern formation in reactions with diffusion, flow and heat transfer)
	87.10.Ed	(Ordinary differential equations (ODE), partial differential equations (PDE), integrodifferential models)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/30/11/118701 OR https://cpl.iphy.ac.cn/Y2013/V30/I11/118701

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	QIU Kang
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	MA Jun

[1] Winfree A T 1972 Science 175 634
[2] Lechleiter J D et al 1991 Science 252 123
[3] Davidenko J M et al 1992 Nature 355 349
[4] Nagano S and Maeda Y 2012 Phys. Rev. E 85 011915
[5] Zaikin A N and Zhabotisnky A M 1970 Nature 225 535
[6] Keener J P and Tyson J J 1986 Physica D 21 307
[7] Jakubith S et al 1990 Phys. Rev. Lett. 65 3013
[8] Krischer K et al 1992 J. Chem. Phys. 96 9161
[9] Tyson J J et al 1989 Physica D 34 193
[10] Falcke M and Levine H 1998 Phys. Rev. Lett. 80 3875
[11] Tang J et al 2012 Europhys. Lett. 97 28003
[12] Shajahan T K et al 2009 PLoS Comput. Biol. 4 e4738
[13] Falcke M et al 1999 Physica D 129 236
[14] Falcke M et al 2003 Biophys. J. 85 1474
[15] Dupont G 1998 Am. J. Physiol.: Cell Physiol. 275 C317
[16] Tang J et al 2009 Eur. Biophys. J. 38 1061
[17] Tang J et al 2008 Europhys. Lett. 83 68001
[18] Falcke M 2004 Adv. Phys. 53 255
[19] DeYoung G W and Keizer J A 1992 Proc. Natl. Acad. Sci. USA 89 9895
[20] Barkley D 1994 Phys. Rev. Lett. 72 164
[21] Munuzuri A P et al 1994 Phys. Rev. E 50 4258
[22] Steinbock O et al 1992 Phys. Rev. Lett. 68 248
[23] Takagi S et al 2004 Phys. Rev. Lett. 93 058101
[24] Pazó D et al 2004 Phys. Rev. Lett. 93 168303
[25] Zemlin C W and Pertsov A M 2012 Phys. Rev. Lett. 109 038303
[26] Tang Y et al 1996 Biophys. J. 70 246
[27] Atri A et al 1993 Biophys. J. 65 1727

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