ArticleFrontiers in computational neuroscience2018
Subcritical Hopf Bifurcation and Stochastic Resonance of Electrical Activities in Neuron under Electromagnetic Induction.
Article in Frontiers in computational neuroscience, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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6 citing papers in PubMed.
- The Heart's Electromagnetic Field in Emotions, Empathy and Human Connection: Biosensor-Derived Insights into Heart-Brain Axis Mechanisms and a Basis for Novel BioMagnetoTherapies.Sensors (Basel, Switzerland) · 2026Review
- Synchronization in STDP-driven memristive neural networks with time-varying topology.Journal of biological physics · 2023Article
- Emergence of stochastic resonance in a two-compartment hippocampal pyramidal neuron model.Journal of computational neuroscience · 2022Article
- Multiple Firing Patterns in Coupled Hindmarsh-Rose Neurons with a Nonsmooth Memristor.Neural plasticity · 2020Article
- Emergence of Beta Oscillations of a Resonance Model for Parkinson's Disease.Neural plasticity · 2020Article
- Spontaneous electromagnetic induction promotes the formation of economical neuronal network structure via self-organization process.Scientific reports · 2019Article
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Abstract
The FitzHugh-Nagumo model is improved to consider the effect of the electromagnetic induction on single neuron. On the basis of investigating the Hopf bifurcation behavior of the improved model, stochastic resonance in the stochastic version is captured near the bifurcation point. It is revealed that a weak harmonic oscillation in the electromagnetic disturbance can be amplified through stochastic resonance, and it is the cooperative effect of random transition between the resting state and the large amplitude oscillating state that results in the resonant phenomenon. Using the noise dependence of the mean of interburst intervals, we essentially suggest a biologically feasible clue for detecting weak signal by means of neuron model with subcritical Hopf bifurcation. These observations should be helpful in understanding the influence of the magnetic field to neural electrical activity.
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