Logical stochastic resonance in the Hodgkin-Huxley neuron

We find here that the noise-free logical stochastic resonance happens in the Hodgkin-Huxley (HH) model of neuron. Logical stochastic resonance (LSR) is one of the variants of the famous stochastic resonance (SR) in logical areas. LSR has attracted more and more attention in recent years due to its potential applications in the futuristic energy-efficient logical devices. In our previous study, we demonstrated that the FitzHugh-Nagumo (FHN) neuron can work as a logic gate. Here we examine the possibility of extending the related results to more biologically realistic HH neuron. Additionally, the effects of phase fluctuation are investigated. It is numerically demonstrated that success probability P presents resonant behaviors by altering amplitude and frequency of the modulating periodic force. In addition, the phase fluctuation of modulating aperiodic force greatly affects logical resonance. Increasing phase fluctuation and frequency of modulating aperiodic force can both induce double logical resonance in the HH neuron.

Automated summary

We discovered noise-free logical stochastic resonance in the Hodgkin-Huxley (HH) model of neuron. Logical stochastic resonance (LSR) is a variant of the well-known stochastic resonance (SR) in logical areas, and has gained increasing attention for its potential applications in energy-efficient logical devices. In this study, we explored the extension of previous findings on the FitzHugh-Nagumo (FHN) neuron to the more biologically realistic HH neuron, and investigated the effects of phase fluctuation. Numerical simulations showed that the success probability P exhibited resonant behaviors by altering the amplitude and frequency of the modulating periodic force. Additionally, increasing phase fluctuation and frequency of the modulating aperiodic force led to double logical resonance in the HH neuron.