Vibrational mono-/bi-resonance and wave propagation in FitzHugh–Nagumo neural systems under electromagnetic induction

Ge, Mengyan; Liu, Lulu; Xu, Ying; Mamatimin, Rozihajim; Pei, Qiuming; Jia, Ya

doi:10.1016/j.chaos.2020.109645

Cited by 76 publications

(24 citation statements)

References 62 publications

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“…where R 0 , ∆ R and Q 0 are given in (13), (14) and (15), respectively. Loss function is defined as the mean square error between the memristance of the actual physical memristor given in (A.1) and the memristance of the non-linear approximation of the memristor given as the reciprocal of the expression in (17) for various time-dependent charge values.…”

Section: Code Availabilitymentioning

confidence: 99%

Stochastic Analysis of the Electromagnetic Induction Effect on a Neuron's Action Potential Dynamics

Kapetanovic

Šušnjara

Poljak

2021

Preprint

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This paper examines the effect of electromagnetic induction on the electrophysiology of a single cortex neuronthrough two different modes associated with the nature of the external neuronal stimulus. By using the recently extended induction-based variant of the well-known and biologically plausible Hodgkin-Huxley neuron model, bifurcation analysis is performed. Electromagnetic induction caused by magnetic flux is captured using a polynomial approximation of a memristor embedded into the neuron model. In order to determine true influence of the variability of ion channels conductivity, the stochastic sensitivity analysis is performed post hoc. Additionally, numerical simulations are enriched with uncertainty quantification, observing values of ion channels conductivity as random variables. The aim of the study is to computationally determine the sensitivity of the action potential dynamics with respect to the changes in conductivity of each ion channel so that the future experimental procedures, most often medical treatments, may be adapted to different individuals in various environmental conditions.

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Section: Code Availabilitymentioning

confidence: 99%

Stochastic Analysis of the Electromagnetic Induction Effect on a Neuron's Action Potential Dynamics

Kapetanovic

Šušnjara

Poljak

2021

Preprint

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“…Following its introduction by Landa & McClintock [23] and motivated by the aforementioned potential applications, VR has now been demonstrated and analysed in a diversity of model systems theoretically, numerically and experimentally, cutting across many fields such as neuroscience, plasma physics, laser physics, acoustics and engineering. Specifically, the VR phenomenon has been investigated in bistable systems [24,28–35], multistable systems [36,37], ratchet devices [38], excitable systems [39], quintic oscillators [40–44], coupled oscillators [25,45–47], overdamped systems [30], delayed dynamical systems [44,46,48–52], asymmetric Duffing oscillators [53], fractional order oscillators [32,42,54], neural models [39,50,55–61], oscillatory networks [46,55,58–60,62–64], biological nonlinear systems [49,61,64], parametrically excited systems [34,65–69], systems with nonlinear damping [37,70–72], and deformed potential [73], disordered systems [74], quantum systems [75,76], as well as harmonically trapped and roughed potentials [72,77]. More importantly, VR has been demonstrated in experimental realizations, especially in multistable systems, arrays of hard limiters, bistable vertical-cavity surface-emitting lasers [28,29,33,78–81] and Chua circuits [82,83].…”

Section: Introductionmentioning

confidence: 99%

Vibrational resonances in driven oscillators with position-dependent mass

Roy-Layinde

Vincent

Abolade

et al. 2021

Phil. Trans. R. Soc. A.

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The vibrational resonance (VR) phenomenon has received a great deal of research attention over the two decades since its introduction. The wide range of theoretical and experimental results obtained has, however, been confined to VR in systems with constant mass. We now extend the VR formalism to encompass systems with position-dependent mass (PDM). We consider a generalized classical counterpart of the quantum mechanical nonlinear oscillator with PDM. By developing a theoretical framework for determining the response amplitude of PDM systems, we examine and analyse their VR phenomenona, obtain conditions for the occurrence of resonances, show that the role played by PDM can be both inductive and contributory, and suggest that PDM effects could usefully be explored to maximize the efficiency of devices being operated in VR modes. Our analysis suggests new directions for the investigation of VR in a general class of PDM systems. This article is part of the theme issue ‘Vibrational and stochastic resonance in driven nonlinear systems (part 1)’.

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“…The action potential of a neuron largely depends on the stimulus itself, especially if the noise is present [33]. Recently, many studies have been carried out, where both the presence of noise and the electromagnetic induction is observed through dynamical analysis framework for a single neuron [24,26,50] and neural networks [14,25,56]. Oftentimes, realistic neurons hold complex anatomical structure, for instance, autapse connection to some internuncial neurons.…”

Section: Introductionmentioning

confidence: 99%

Stochastic analysis of the electromagnetic induction effect on a neuron’s action potential dynamics

2021

View full text Add to dashboard Cite

This paper examines the effect of electromagnetic induction on the electrophysiology of a single cortex neuron through two different modes associated with the nature of the external neuronal stimulus. By using the recently extended induction-based variant of the well-known and biologically plausible Hodgkin-Huxley neuron model, bifurcation analysis is performed. Electromagnetic induction caused by magnetic flux is captured using a polynomial approximation of a memristor embedded into the neuron model. In order to determine true influence of the variability of ion channels conductivity, the stochastic sensitivity analysis is performed post hoc. Additionally, numerical simulations are enriched with uncertainty quantification, observing values of ion channels conductivity as random variables. The aim of the study is to computationally determine the sensitivity of the action potential dynamics with respect to the changes in conductivity of each ion channel so that the future experimental procedures, most often medical treatments, may be adapted to different individuals in various environmental conditions.

show abstract

Vibrational mono-/bi-resonance and wave propagation in FitzHugh–Nagumo neural systems under electromagnetic induction

Cited by 76 publications

References 62 publications

Stochastic Analysis of the Electromagnetic Induction Effect on a Neuron's Action Potential Dynamics

Stochastic Analysis of the Electromagnetic Induction Effect on a Neuron's Action Potential Dynamics

Vibrational resonances in driven oscillators with position-dependent mass

Stochastic analysis of the electromagnetic induction effect on a neuron’s action potential dynamics

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