空间异质性对于可激发介质螺旋波的影响.pdfVIP

Hans Journal of Computational Biology 计算生物学, 2014, 4, 51-57 Published Online September 2014 in Hans. /journal/hjcb /10.12677/hjcb.2014.43006 Effect of Spatial Heterogeneity on Spiral Waves in Excitable Medium * Guixia Xu, Jiqian Zhang , Lezhu Liu, Jun Lu, Sitao Pang College of Physics and Electronic Information, Anhui Normal University, Wuhu * Email: zhangcdc@ th st th Received: Aug. 14 , 2014; revised: Sep. 1 , 2014; accepted: Sep. 12 , 2014 Copyright © 2014 by authors and Hans Publishers Inc. This work is licensed under the Creative Commons Attribution International License (CC BY). /licenses/by/4.0/ Abstract In this paper, by using the 2D coupled Fitzhugh-Nagumo (FHN) neurons system as the research object, we have studied the effect of aging on the stability and breakup of spiral wave in the net- work of neuron cell system. It shows that, with the increment of cell death ratio to a certain level, a certain number of death cells randomly distribute as impurities in the tissue of the body, thus, the spiral wave may easily show the phenomenon of breakup or even death. Secondly, under the con- dition of certain ratio, if the stimulation of signal with proper frequency is introduced, the brea- kup of spiral wave could be reduced or inhibited. Finally, it is found that, by calculating the syn- chronizing factor of the cell membrane voltage, the negative effect of aging could be reduced by adjusting the coupling strength and the stimulus intensity of external signal. Especially, our re- sults show that there is a certain regulation effect of these factors on maintaining the stability of spiral wave