Dynamics of a functional neuron model with double membranes

Connecting a functional electronic element into any a nonlinear circuit which can enhance its potential functional and controllability. Memristor as a nonlinear element, it can be used to describe the flexible structure of the cell membrane. Magnetic flux-controlled memristor (MFCM) can represent the effect of magnetic on neurons and nonlinear systems. In this study, a memristive cell membrane is simulated by using a MFCM to connect two capacitors. An induction coil is applied to simulate an ion channel of the neuron, a nonlinear resistor is used to represent the nonlinear relationship between magnetic field energy and electric field energy in the neuron. The external acoustic wave signal is considered as a stimuli source, and the acoustic wave signal can be converted into an electrical signal by applying the piezoceramics. A functional neuron model with a memristive membrane can be built, which can estimate external acoustic wave signals and magnetic field signals. Furthermore, the firing patterns of this functional neuron are investigated under the different external acoustic wave and magnetic field signals, respectively. The results show that the dynamics of the functional neuron can be adjusted by applying different external signals, and the coherent resonance can be induced under external noise acoustic wave signal or external noise magnetic field. This research will provide a theoretical guide for the modeling of double membranes functional neurons.