Firing behaviors of a neuron with two memristor channels

The nonlinear circuit can achieve the functionality and controllability by adding functional electronic components. A nonlinear circuit is considered as a neural circuit, which can construct functional neural circuit by adding different functional electronic component branches in neural circuit. This paper proposes a hybrid memristive neural circuit, to explore the regulation of ion channels in neurons by external magnetic fields, and the control of electrical activities in neurons by external electric fields. In this memristive circuit, a magnetic flux-controlled memristor (MFCM) is connected in series with a feedback voltage source to form a branch, which simulates the ion channels of the neuron, and a charge-controlled memristor (CCM) branch is used to capture the external electric fields. The corresponding neuron model is obtained by applying Kirchhoff's theorem and the fundamental theory of circuits. Furthermore, firing behaviors of neuron under external magnetic and electric fields are explored. The analysis indicates that firing behaviors of neuron can be activated by changing intensity of external magnetic and electric field. In addition, an adaptive growth scheme based on energy proportion control is designed for exploring the adaptive regulatory characteristics of ion channels in neurons. The results confirmed that the firing mode of neuron can be regulated by controlling its ion channels. This neuron can also be utilized to construct neural networks for investigating the influence of external electromagnetic fields on their collective behavior.