Discharge Behavior Of Morris-Lecar Neurons And The Formation Mechanism Of The Spiral Wave

There are a large number of neurons in the human brain, a lot of experiments proved that in the cerebral cortex will observe the propagation of the spiral wave, and spiral waves play an important role in the signal transmission, Circuit is designed for the Morris-Lecar neuron model to study the electric activity of neuron, and regular network of Morris-Lecar neuron is established to study the collective behavior of neurons. This work is supported by the National Nature Science of Foundation of China under the Grant No.11265008. Our results are summarized as follows:1. The neural circuits(1) An equivalent circuit is desgined in Pspice to reproduce the electric activity of neuron.(2) The Josephson junction coupled oscillator is used to generate types of electric activities of neurons.2. Dynamics of pattern in network of Morris-lecar neurons(1) Target waves can be developed from regular rectangular defects, and spiral wave is also induced due to breakup of target wave.(2) The poisoning or blocking in ion channels could behave like artifical defects, appropriate ratio for blocking in ion channels can block the target wav and spiral wave is developed in the network of neurons.(3) In the case of stochastic poisioning or blocking in ion channels, spiral wave can also be induced to occupy the network of neurons under optimized noise on the network.