Energy balance and synchronization via inductive-coupling in functional neural circuits

Abstract

A reliable functional neural circuit can estimate the information encoding and signal exchange between neurons, and thus the recognition of electric activities in biological issues can be considered with problems on functional networks connected by neural circuits because more biophysical factors can be taken into account. Neurons communicate with each other via synaptic connections, besides the electric synapse connection via resistor coupling, inductor is effective to perform function as chemical synapses by activating similar inductive field coupling. In this paper, two kinds of neural circuits (light-sensitive and thermosensitive circuits) are connected by an induction coil, and external stimuli are applied to detect the adaptive synchronization approach when the coupling intensity is controlled by energy diversity between neurons. The two neurons hold different intrinsic energy values and then the synaptic connection is created for fast energy exchange along the coupling channel with increasing coupling intensity adaptively. When the energy of two neural circuits/neurons reaches perfect balance, the coupling intensity terminates its further increase and maintains a constant value. In case of phase synchronization/lock between neurons, desynchronization occurs accompanied by continuous energy pumping along the coupling channel without energy balance. Indeed, external energy injection can enhance the field coupling between neurons for decreasing the energy diversity. The involvement of memristive function as induction current for discerning electromagnetic induction in one neuron can increase the energy diversity between neurons, and then bursting synchronization can be suppressed. For the same and identical neural circuits, adaptive growth of synaptic connection can realize perfect energy balance and complete synchronization. For different neural circuits, synchronization is corrupted even the field coupling is further enhanced in the intensity. As a result changeable energy diversity is helpful to induce desynchronization and potential neural disorders and diseases can be blocked.