Simulating the formation of spiral wave in the neuronal system

Some experimental results have confirmed that a spiral wave could be observed in the cortex of brain. The biological Hodgkin-Huxley neurons are used to construct a regular network with nearest-neighbor connection, artificial line defects are generated to block the traveling wave in the network, and the potential mechanism for formation of spiral wave is investigated. A target wave is generated in a local area by imposing two external forcing currents with diversity (I (0)-I (1)) in different areas of the network. It is confirmed that spiral wave could be induced by the defects even if no specific initial values are used. A single perfect spiral wave can occupy the network when the coupling intensity exceeds certain threshold; otherwise, a group of spiral waves emerges in the network. Certain channel noise can enhance the diversity (I (0)-I (1)) for generating target wave, and then spiral waves are induced by blocking the target wave with defects under no-flux and/or periodic boundary conditions in the network.