Wave pattern stability of neurons coupled by memristive electromagnetic induction

Takembo, Clovis Ntahkie; Mvogo, Alain; Fouda, H. P. Ekobena; Kofané, Timoléon Crépin

doi:10.1007/s11071-019-04841-w

Cited by 21 publications

(9 citation statements)

References 38 publications

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“…For example magnetic flux variable is included in the standard neuronal models and memristor used to achieve the coupling between magnetic flux variable and membrane potential hence induction current from the physical effect of electromagnetic induction is considered [14] , [15] , [16] . It's further verified that electromagnetic radiation imposed on the magnetic flux variable as an external forcing induces multiple modes in electrical activities, consistent with biological experiments [17] , [18] , [19] . Fluctuation in charge distribution and polarization of the media occurs when exposed to electric field.…”

Section: Introductionsupporting

confidence: 78%

Pattern selection in coupled neurons under high-low frequency electric field

Takembo

Sone

2021

Heliyon

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Biological neurons exposed to an external electric field can induce polarization and charge fluctuation. Indeed, the exchange of calcium, sodium and potassium ions across the cell membrane can induce an electric field as a result of a time-varying electromagnetic field set up. This field could further modulate the cell electrical activity by inducing multiple firing modes. Based on the physical law of electric field, an improved model which includes an additive electrical field variable is constructed for a network of neurons to study wave propagation and mode transition by exploring the longtime dynamics of slightly perturbed plane waves in the network. Wave pattern and mode transition dependence on the different parameters of external electric field are discussed. It is found that the plane wave propagating in the coupled system breaks down to localized structures under the activation of modulational instability. The network under high-low external electric field supports bursting synchronization. This could be a fruitful avenue to discern the occurrence of paroxysmal epilepsy.

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Section: Introductionsupporting

confidence: 78%

Pattern selection in coupled neurons under high-low frequency electric field

Takembo

Sone

2021

Heliyon

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“…The result obtained in this work also agrees with experimental observations from cultured cardiac myocyte 34,35 . Spatiotemporal dynamical patterns including the wave pattern obtained in this work in the form of discrete pulses have been reported in excitable network, physical and biological media 24,32,36,38 . Spatiotemporal patterns have been reported in excitable brain micro-circuits, described to be highly relevant in intercellular communication such as visual and olfactory cortices 37 .…”

Section: Spatiotemporal Patterns Under Thermoelectric Couplings the mentioning

confidence: 72%

“…without losing their vital characteristics features. It has recently being widely extended to many other physical and biological media 4,31,32 . Through the multiple scale analysis expansions, the first particle of chain network (n = 0) , is set into oscillations when subjected to an external forcing with the natural frequency .…”

Section: Methodsmentioning

confidence: 99%

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Effect of temperature fluctuation on the localized pattern of action potential in cardiac tissue

Takembo

Fouda

2020

Sci Rep

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Based on the improved FitzHugh–Nagumo myocardial model driven by a constant external current, the effect of temperature fluctuation in a network of electrically coupled myocardial cells are investigated through analytical and numerical computations. Through the technique of multiple scale expansion, we successfully reduced the complex nonlinear system of equations to a more tractable and solvable nonlinear amplitude equation on which the analysis of linear stability is performed. Interestingly from this analysis, a plot of critical amplitude of action potential versus wave number revealed the growth rate of modulational instability (MI) is an increasing function of the thermoelectric couplings; $$T^{(1)}$$ T ( 1 ) and $$T^{(2)}$$ T ( 2 ) , under fixed conditions of nonlinear electrical couplings. In order to verify our analytical predictions through the study the long-time evolution of the modulated cardiac impulses, numerical computation is finally carried out. Numerical experiment revealed the existence of localized coherent structures with some recognized features of synchronization. Through the mechanism of MI, changes in thermoelectrical couplings promote wave localization and mode transition in electrical activities in the cell lattice. Results could provide new insights in understanding the underlying mechanism of the manifestation of sudden heart disorder subjected to heavily temperature fluctuation.

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“…Takembo et al . [29] reported the possibility of achieving perfect intercellular communication in memristor-based neuronal network using a controlled pitch of electromagnetic radiation. However, the results obtained through numerical experiments above present complex dynamical structures attributed to the large number of tilted waves excited and which compete with others.…”

Section: Methodsmentioning

confidence: 99%

Localized nonlinear excitations in diffusive memristor-based neuronal networks

et al. 2019

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We extend the existing ordinary differential equations modeling neural electrical activity to include the memory effect of electromagnetic induction through magnetic flux, used to describe time varying electromagnetic field. Through the multi-scale expansion in the semi-discrete approximation, we show that the neural network dynamical equations can be governed by the complex Ginzburg-Landau equation. The analytical and numerical envelop soliton of this equation are reported. The results obtained suggest the possibility of collective information processing and sharing in the nervous system, operating in both the spatial and temporal domains in the form of localized modulated waves. The effects of memristive synaptic electromagnetic induction coupling and perturbation on the modulated action potential dynamics examined. Large electromagnetic induction coupling strength may contribute to signal block as the amplitude of modulated waves are observed to decrease. This could help in the development of a chemical brain anaesthesia for some brain pathologies.

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Wave pattern stability of neurons coupled by memristive electromagnetic induction

Cited by 21 publications

References 38 publications

Pattern selection in coupled neurons under high-low frequency electric field

Pattern selection in coupled neurons under high-low frequency electric field

Effect of temperature fluctuation on the localized pattern of action potential in cardiac tissue

Localized nonlinear excitations in diffusive memristor-based neuronal networks

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