计算生物学

Vol.4 No.3 (September 2014)

空间异质性对于可激发介质螺旋波的影响
Effect of Spatial Heterogeneity on Spiral Waves in Excitable Medium

 

作者:

许贵霞 , 张季谦 , 刘乐柱 , 卢 珺 , 庞四焘 :安徽师范大学物理与电子信息学院,芜湖

 

关键词:

神经元老龄化螺旋波破裂Neuron Aging Spiral Wave Breakup

 

摘要:

本文以二维耦合Fitzhugh-Nagumo (FHN)神经元细胞体系为研究对象,考察了老龄化因素对神经元细胞耦合网络中螺旋波稳定性的影响。研究结果表明,随着细胞死亡比例的增加,一定数量的死亡细胞像杂质一样随机分布于机体组织中,导致神经元网络中的螺旋波容易出现破裂甚至死亡现象。其次,在一定程度的细胞老龄化条件下,若引入外界一定频率的电信号刺激,则可以在一定程度上减轻或抑制螺旋波的破裂。最后,通过计算细胞膜电压的同步因子,进一步分析了体系的耦合强度、外界刺激信号强度均可以减轻老龄化的负面效应,发现这些因素对维持螺旋波的稳定性有一定调控作用。

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 network 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 breakup 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 results show that there is a certain regulation effect of these factors on maintaining the stability of spiral wave.

文章引用:

许贵霞 , 张季谦 , 刘乐柱 , 卢 珺 , 庞四焘 (2014) 空间异质性对于可激发介质螺旋波的影响。 计算生物学, 4, 51-57. doi: 10.12677/HJCB.2014.43006

 

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