2018
DOI: 10.1140/epjst/e2018-700140-1
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Effects of temperature and electromagnetic induction on action potential of Hodgkin–Huxley model

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Cited by 30 publications
(16 citation statements)
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“…Changes in temperature can therefore fluctuate electrical behavior of cardiac tissue. This result partly confirms the investigations of Lu et al 41 and Zhao et al 42 , obtained in the case of neuronal electrical activity. As perspective, a more realistic model can be envisaged to include the physical law of electromagnetic induction and radiation 4,31,43 , time delay 44,45 , noise 46 , autapses 47 and the action of chemical synapses 48 .…”
Section: Spatiotemporal Patterns Under Thermoelectric Couplings the supporting
confidence: 91%
See 1 more Smart Citation
“…Changes in temperature can therefore fluctuate electrical behavior of cardiac tissue. This result partly confirms the investigations of Lu et al 41 and Zhao et al 42 , obtained in the case of neuronal electrical activity. As perspective, a more realistic model can be envisaged to include the physical law of electromagnetic induction and radiation 4,31,43 , time delay 44,45 , noise 46 , autapses 47 and the action of chemical synapses 48 .…”
Section: Spatiotemporal Patterns Under Thermoelectric Couplings the supporting
confidence: 91%
“…Fenton et al 7 through numerical experiments reported that such mechanism is closely linked to thermal effect. Lu et al 41 observed numerically in a network of neurons, the existence of Arnold tongue-like structure in the time series www.nature.com/scientificreports/ of membrane potential dependent on temperature parameter. In this current contribution, we have presented a methodology based on analytical and numerical simulation to account for the physiological changes occurring at the cellular level due to temperature fluctuation.…”
Section: Spatiotemporal Patterns Under Thermoelectric Couplings the mentioning
confidence: 99%
“…Chaos control in enzyme-substrate reaction system using recursive backstepping sliding mode control, has been done by the authors of paper [13]. Next three papers investigate different dynamical models of a single neuron [14][15][16]. Paper [14] considers the model based on the Hodgkin-Huxley formalism with bistability between a silent state, which is a rare attractor and oscillatory bursting attractor, the authors demonstrate that the noise-induced switching between these two stable attractors depends on the structure of the phase space and the disposition of the coexisting attractors to each other.…”
Section: The European Physical Journal Special Topicsmentioning
confidence: 99%
“…In paper [15], based on an improved Hodgkin-Huxley neuron model (driven by the electromagnetic induction), the effects of temperature and electromagnetic induction on the action potential of neuron has been investigated by numerical computations. Based on FitzHugh-Nagumo neuron model and by calculating Fourier coefficients for quantitatively characterizing the efficiency of the signal transmission, the authors in paper [16] investigate the effects of autapse with constant or time-periodic coupling intensity on signal transmission.…”
Section: The European Physical Journal Special Topicsmentioning
confidence: 99%
“…Authors in [30] have carried out an extensive review of all relevant literature considering dynamics in a neuron and neuronal network, paying special attention to realization of a computational model under the effect of electromagnetic induction and/or radiation in order to better understand the electromagnetic effect in treating neurodegenerative diseases. The dynamics of the action potential of a neuron under the electromagnetic induction is shown to be greatly dependant on the environmental surrounding temperature in [27] using the extended induction-based Hodgkin-Huxley neuron model, similar to that used in this paper. The temperature influence is previously verified in the clinical study, where temperature effects are examined in rat hypothalamic tissue slices [59].…”
Section: Introductionmentioning
confidence: 99%