Energy shunting control in hybrid ion channel of a biophysical neuron driven by memristive current

In this article, a control strategy is proposed to control the energy level and firing modes in a memristive neuron with hybrid ion channel, in which this branch circuit connects a memristor in series with an inductor. Energy and current are shunted from the hybrid ion channel for further saving in the external applied control device. Another memristor connects a constant voltage source for producing memristive current as external excitation and this design generates forcing currents within finite frequency band like realistic stimuli applied to biological neurons. A sub-branch circuit containing a capacitor is intervened into the hybrid ion channel (combining memristor and inductor), and the shunting current is changed when the capacitor parameter in the control branch circuit is tamed following continuous energy shunting from the neural circuit, as a result, the energy level in the neuron is modified to support appropriate firing patterns. In presence of noisy disturbance, coherence resonance is induced and affected by the parameter setting in the sub-branch circuit. Our results provide a feasible strategy for controlling electrical activities in neurons and their equivalent neural circuits, and also offer guidance for further local pacing in neural networks by injecting or shunting energy flow.