Discrete impulses in ephaptically coupled nerve fibers

Maïna, I.; Tabi, Conrad Bertrand; Fouda, H. P. Ekobena; Mohamadou, Alidou; Kofané, Timoléon Crépin

doi:10.1063/1.4919077

Cited by 35 publications

(12 citation statements)

References 41 publications

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“…Based on their localization properties, breather solitons have been used as models of rogue waves (RWs) whose behaviors and characteristics are not yet fully unmasked, mainly because they may appear suddenly, propagate within short times, destroy everything on their way and disappear without any trace [1,2]. For instance, it has been well established that they may appear in physical systems as the consequence of the interplay between nonlinear and dispersive effects, under the activation of the so-called MI phenomenon [3][4][5][6][7][8]. Recently, interest in studying RWs has gone beyond oceanography and hydrodynamics [9,10] to reach some other areas related to optics and photonics [11][12][13][14], Bose-Einstein condensation [15][16][17], biophysics [18][19][20][21], plasma physics [22,23], just to name a few.…”

Section: Introductionmentioning

confidence: 99%

Low relativistic effects on the modulational instability of rogue waves in electronegative plasmas

2019

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Relativistic ion-acoustic waves are investigated in an electronegative plasma. The use of the reductive perturbation method summarizes the hydrodynamic model to a nonlinear Schrödinger equation which supports the occurrence of modulational instability (MI). From the MI criterion, we derive a critical value for the relativistic parameter 1 , below which MI may develop in the system. The MI analysis is then conducted considering the presence and absence of negative ions, coupled to effects of relativistic parameter and the electron-to-negative ion temperature ratio. Under high values of the latter, additional regions of instability are detected, and their spatial expansion is very sensitive to the change in 1 and may support the appearance of rogue waves whose behaviors are discussed. The parametric analysis of super-rogue wave amplitude is performed, where its enhancement is debated relatively to changes in 1 , in the presence and absence of negative ions.

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Section: Introductionmentioning

confidence: 99%

Low relativistic effects on the modulational instability of rogue waves in electronegative plasmas

2019

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“…The concept of ephaptic coupling (EpC) is an old theory that has received renewed interest recently. While considered controversial in the cardiac field, EpC is more widely accepted in neurology (Bokil et al, 2001 ; Anastassiou et al, 2011 ; Su et al, 2012 ; Van der Goes van Naters, 2013 ; Maïna et al, 2015 ) and has even been proposed to be important for uterine contraction (Young, 2007 ). An elegant review by Nicholas Sperelakis and Keith McConnell in 2002 summarizes 6 possible mechanisms for EpC (Sperelakis and McConnell, 2002 ).…”

Section: Introductionmentioning

confidence: 99%

Heart Rate and Extracellular Sodium and Potassium Modulation of Gap Junction Mediated Conduction in Guinea Pigs

et al. 2016

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Background: Recent studies suggested that cardiac conduction in murine hearts with narrow perinexi and 50% reduced connexin43 (Cx43) expression is more sensitive to relatively physiological changes of extracellular potassium ([K+]o) and sodium ([Na+]o).Purpose: Determine whether similar [K+]o and [Na+]o changes alter conduction velocity (CV) sensitivity to pharmacologic gap junction (GJ) uncoupling in guinea pigs.Methods: [K+]o and [Na+]o were varied in Langendorff perfused guinea pig ventricles (Solution A: [K+]o = 4.56 and [Na+]o = 153.3 mM. Solution B: [K+]o = 6.95 and [Na+]o = 145.5 mM). Gap junctions were inhibited with carbenoxolone (CBX) (15 and 30 μM). Epicardial CV was quantified by optical mapping. Perinexal width was measured with transmission electron microscopy. Total and phosphorylated Cx43 were evaluated by western blotting.Results: Solution composition did not alter CV under control conditions or with 15μM CBX. Decreasing the basic cycle length (BCL) of pacing from 300 to 160 ms decreased CV uniformly with both solutions. At 30 μM CBX, a change in solution did not alter CV either longitudinally or transversely at BCL = 300 ms. However, reducing BCL to 160 ms caused CV to decrease more in hearts perfused with Solution B than A. Solution composition did not alter perinexal width, nor did it change total or phosphorylated serine 368 Cx43 expression. These data suggest that the solution dependent CV changes were independent of altered perinexal width or GJ coupling. Action potential duration was always shorter in hearts perfused with Solution B than A, independent of pacing rate and/or CBX concentration.Conclusions: Increased heart rate and GJ uncoupling can unmask small CV differences caused by changing [K+]o and [Na+]o. These data suggest that modulating extracellular ionic composition may be a novel anti-arrhythmic target in diseases with abnormal GJ coupling, particularly when heart rate cannot be controlled.

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“…In the current panorama of the study on ephaptic coupling, there are some models that consider the dynamics of communication activity in neurons. Thus, most models simulate the ephaptic effects caused in the propagation of the nerve impulse along nerve fibers and axons 16,17,50 , using a cable theory approach 34 . However, such models are not the best options since they often use continuous neural models, which are, in general, more costly than integrate-and-fire models 51 .…”

Section: Discussionmentioning

confidence: 99%

Ephaptic Coupling in Hybrid Neuronal Model

Cunha¹,

Corso²,

Miranda³

et al. 2021

Preprint

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In recent decades, there has been growing interest in the impact of electric fields generated in the brain. Transmembrane ionic currents originate electric fields in the extracellular space and are capable of affecting nearby neurons, a phenomenon called ephaptic neuronal communication. In the present work, the Quadratic Integrate-and-Trigger model (QIF-E) underwent an adjustment/improvement to include the ephaptic coupling behavior between neurons and their results are compared to the empirical results. In this way, the analysis tools are employed according to the neuronal activity regime: (i) for the subthreshold regime, the circular statistic is used to describe the phase differences between the input stimulus signal and the modeled membrane response; (ii) in the suprathreshold regime, the Population Vector and the Spike Field Coherence are employed to estimate phase preferences and the coupling intensity between the input stimulus and the Action Potentials. The results observed are i) in the subthreshold regime the values of the phase differences change with distinct frequencies of an input stimulus; ii) in the supra-threshold regime the preferential phase of Action Potentials changes for different frequencies. In addition, we explore other parameters of the model, such as noise and membrane characteristic-time, in order to understand different types of neurons and extracellular environment related to ephaptic communication. Such results are consistent with results observed in empirical experiments based on ephaptic coupling behavior. In addition, the QIF-E model allows further studies on the physiological importance of ephaptic coupling in the brain, and its simplicity can open a door to simulating ephaptic coupling in neuron networks and evaluating the impact of ephaptic communication in such scenarios.

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Discrete impulses in ephaptically coupled nerve fibers

Cited by 35 publications

References 41 publications

Low relativistic effects on the modulational instability of rogue waves in electronegative plasmas

Low relativistic effects on the modulational instability of rogue waves in electronegative plasmas

Heart Rate and Extracellular Sodium and Potassium Modulation of Gap Junction Mediated Conduction in Guinea Pigs

Ephaptic Coupling in Hybrid Neuronal Model

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