Quantifying the Attractive Force Exerted on the Pinned Calcium Spiral Waves by Using the Adventive Field
QIU Kang1, TANG Jun2**, 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
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.
. [J]. 中国物理快报, 2013, 30(11): 118701-118701.
QIU Kang, TANG Jun, LUO Jin-Ming, MA Jun. Quantifying the Attractive Force Exerted on the Pinned Calcium Spiral Waves by Using the Adventive Field. Chin. Phys. Lett., 2013, 30(11): 118701-118701.
2013, Vol. 30 
