中文摘要：

研究了钠离子和钾离子通道噪声扰动对Hodgkin-HuxIey神经网络放电时空模式的影响.发现无论钠离子通道噪声还是钾离子通道噪声扰动,当取定一组温度、噪声强度,随着耦合强度的增大,神经网络放电时空斑图总能演化出螺旋波,而且存在形成螺旋波所需的临界耦合强度.分析发现钠离子通道噪声有利于神经网络螺旋波的形成,而钾离子通道噪声不利于螺旋波形成.结果还表明较低的温度能够使神经网络对噪声更加敏感.最后,讨论了特定参数下螺旋波与靶波之间的转化现象.

英文摘要：

Taking into account sodium and potassium ion channel noises,the evolution of the patterns of neuronal networks is investigated. No matter what kind of ion channel noise is working,with coupling coefficient increasing,the spatiotemporal patterns of the neuronal network can be evolved into spiral waves when temperature and noise strength are given,and there is a coupling coefficient threshold for forming a spiral wave.The analysis shows that sodium ion channel noise contributes to the formation of spiral waves in neurons network,while the potassium ion channel noise is not conducive to the formation of spiral waves.In addition,it is found that lower temperature can make the neurons network more sensitive to noise.Finally,the transformation of spiral waves into target waves,in the case of specific parameters is discussed.