Robustness, Death of Spiral Wave in the Network of Neurons under Partial Ion Channel Block

• Published in: Communications in theoretical physics 2013-02, Vol.59 (2), p.233-242
• Main Author: 马军 黄龙 王春妮 蒲忠胜
• Format: Article
• Language: English
• Subjects: Wave; 子信道; 死亡; 神经元; 螺旋波; 诱导作用; 高碘酸钠; 鲁棒性
• ISSN: 0253-6102
• DOI: 10.1088/0253-6102/59/2/16

The development of spiral wave in a two-dimensional square array due to partial ion channel block （Potas- sium, Sodium） is investigated, the dynamics of the node is described by Hodgkin-Huxley neuron and these neurons are coupled with nearest neig1 bor connection. The parameter ratio xNa （and xK）, which defines the ratio of working ion channel number of sodium （potassium） to the total ion channel number of sodium （and potassium）, is used to measure the shift conductance induced by channel block. The distribution of statistical variable R in the two-parameter phase space （parameter ratio vs. poisoning area） is extensively calculated to mark the parameter region for transition of spiral wave induced by partial ion channel block, the area with smaller factors of synchronization R is associated the parameter region that spiral wave keeps Mive and robust to the channel poisoning. SpirM wave keeps alive when the poisoned area （potassium or sodium） and degree of intoxication are small, distinct transition （death, several spiral waves coexist or multi-axm spiral wave emergence） occurs under moderate ratio XNa （and XK） when the size of blocked area exceeds certain thresholds. Breakup of spiral wave occurs and multi-axm of spiral waves are observed when the channel noise is considered.