Numeral research of synchronous oscillation on two Chay neurons and 2-D network by gap junction

The relationships of epileptiform waves caused by abnormal neurons are studied and it is an important basis work to investigate the properties of neural disease such as epilepsy. In our work, two Chay neurons and 2-D network models and their chaotic characters are computed in order to study the effect of gap junction on the dynamics of neuron population. The numerical results of nonlinear oscillation are analyzed when neurons are coupled in different states. These states are: repetitive spike neuron and bursting chaotic neuron; bursting chaotic neuron and single bursting neuron; abnormal neuron and resting neuron; neurons randomly distributed in 2-D network. The phase diagram and the dynamic feature of Ca²⁺ concentration are also used to learn the synchronous activities. Our work is helpful to our further research for the mechanism of epileptic waves propagation and the effect of gap junction on 3-D network.