Abstract
The Hodgkin-Huxley (HH) spiking neuron model reproduces the dynamic characteristics of the neuron by mimicking the action potential, ionic channels, and spiking behaviors. The memristor is a nonlinear device with variable resistance. In this paper, the memristor is introduced to the HH spiking model, and the memristive Hodgkin-Huxley spiking neuron model (MHH) is presented. We experimentally compare the HH spiking model and the MHH spiking model by applying different stimuli. First, the individual current pulse is injected into the HH and MHH spiking models. The comparison between action potentials, current densities, and conductances is carried out. Second, the reverse single pulse stimulus and a series of pulse stimuli are applied to the two models. The effects of current density and action time on the production of the action potential are analyzed. Finally, the sinusoidal current stimulus acts on the two models. The various spiking behaviors are realized by adjusting the frequency of the sinusoidal stimulus. We experimentally demonstrate that the MHH spiking model generates more action potential than the HH spiking model and takes a short time to change the memductance. The reverse stimulus cannot activate the action potential in both models. The MHH spiking model performs smoother waveforms and a faster speed to return to the resting potential. The larger the external stimulus, the faster action potential generated, and the more noticeable change in conductances. Meanwhile, the MHH spiking model shows the various spiking patterns of neurons.
Highlights
Neurons with highly nonlinear characteristics act as the basic functional unit of receiving and propagating signals
It is sensitive to the temperature, the strength of the external stimulus, and the action time of the stimulus
The MEMRISTIVE HODGKIN-HUXLEY (MHH) spiking model successfully simulates the generation of the action potential in a neuron
Summary
Neurons with highly nonlinear characteristics act as the basic functional unit of receiving and propagating signals. In the Hodgkin-Huxley spiking model, the conductance value of each ion channel is decided by the gate-controlled variables m, n, h, and 0 ≤ m ≤ 1, 0 ≤ n ≤ 1, 0 ≤ h ≤ 1. M∞, n∞, and h∞ are the steady-state values of the gate variables m, n, and h, (Saïgai et al, 2011) They are all the functions of the membrane potential. The steady-state values (m∞ and n∞) of activation gate variables (m and n) change from 0 to 1 with the increase of the membrane potential. The steady-state value (h∞) of the inactivation gate variable (h) decreases with the increase of the membrane potential (Figures 3A,C).
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