Energy level and coherence resonance in two memristive neurons in polarized electric field

Applied external electric field on excitable media can modify the propagation of intracellular ions; as a result, the energy level and firing modes of the neuron are affected because of shift in membrane potential generated by the polarized field. When neurons are exposed to external electric field, the membrane potential seldom shows linear shift and physical explanation for this effect become interesting. In neural networks, each neuron suffers from the collective electric field as similar the polarized field effect. In this work, a bias voltage is applied to the branch circuit for capacitor in a simple neural circuit for estimating the polarization field effect on the cell membrane, and then energy characteristic, firing patterns and coherence resonance in its equivalent neuron model. Furthermore, a Josephson junction is incorporated into the branch circuit for replacing a nonlinear resistor with cubic term in the current-voltage relation, circuit equations and field energy are obtained, and further dynamics analysis is provided in its equivalent neuron model coupled with Josephson junction. The bias voltage for the neural circuit is mapped dimensionless parameter for the capacitive channel, and its effect on energy level and mode transition in neural activities is explored in detail. The results reveal that external electric field has important impact on the neural activities and energy levels, and a reliable neuron model is obtained to estimate the physical field effect in clear way.