Spontaneous Oscillations in Hodgkin-Huxley Model

• Main Authors: Ming-Wai Huang, 黃民瑋
• Other Authors: Tzyy-Leng Horng
• Format: Others
• Language: en_US
• Published: 2006
• Online Access: http://ndltd.ncl.edu.tw/handle/53772765668470166007

碩士 === 逢甲大學 === 應用數學所 === 94 === Automatic neuron firing is an important and interesting research subject in neuroelectrophysiology. Through the original Hodgkin-Huxley model, we investigate its codimension 1 bifurcations along maximum conductance of sodium channel, maximum conductance of potassium channel, and extracellular potassium concentration. We find that increasing maximum conductance of sodium channel, or decreasing maximum conductance of potassium channel, or increasing extracellular potassium concentration will all cause spontaneous oscillation without any external stimulus current. The effect that increasing extracellular potassium concentration will cause repetitive neuron firing has been verified by experiments, but the effect of changing channel maximum conductance will cause automatic neuron firing is first analyzed in the current paper but not yet verified by experiments. We hope the experiment can be done in the future by using sodium channel activator and potassium channel blocker.