电磁下耦合Chay神经元模型的放电及同步

Discharge and Synchronization of Coupled Chay Neuron Model Under Electromagnetic Field

神经元膜电位波动时会在神经系统中产生复杂的时变电磁场,而这种感应电磁场将进一步调节神经元的放电活动.考虑到神经元细胞会受到电磁感应的影响,通过在经典的三维Chay神经元模型中加入外界刺激电流与磁控忆阻器的方式,得到改进后的四维Chay神经元系统.利用MATLAB软件模拟该系统的单参数与双参数分岔图,可以观察到该系统会受到多种参数的影响,且随着参数值的改变会呈现出丰富的动力学行为.在此基础上,研究该系统在磁通耦合强度作用下的同步情况,发现一定条件下增大耦合强度的值会促进该系统的完全同步.改进后的神经元模型拥有更多的分岔参数并且考虑了细胞中电磁感应的影响,对研究外界电磁辐射对神经元的影响提供理论参考.

When the membrane potential of neurons fluctuates,complex time-varying electromagnetic fields are generated in the nervous system,and this induced electromagnetic field will further regulate the firing activity of neurons.Considering that neurons are affected by electromagnetic induction,the improved four-dimensional Chay neuron system is obtained by adding external stimulus current and magnetocontrolled memristor into the classical threedimensional Chay neuron model.Using MATLAB software to simulate the single-parameter and double-parameter bifurcation diagrams of the system,it can be observed that the system will be affected by a variety of parameters,and with the change of parameter values,it will show a rich dynamic behavior.On this basis,the synchronization of the system under the action of magnetic flux coupling strength is studied,and it is found that increasing the coupling strength can promote the complete synchronization of the system under certain conditions.The improved neuron model has more bifurcation parameters and considers the influence of electromagnetic induction in cells,which provides theoretical reference for studying the influence of external electromagnetic radiation on neurons.