Effect of electromagnetic radiation on the dynamics of spatiotemporal patterns in memristor-based neuronal network

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

doi:10.1007/s11071-018-4616-0

Cited by 72 publications

(18 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Thus for a given lattice number n , only the set of lattice points can be indexed in terms of the slow variable m as , , , where is assumed. We recall that since the model under studies considers discreteness to be highly pronounced, this justifies the above assumption for N 31 . In so doing, the slow modulation of the plane wave A ( n , t ) can be replaced by the functions , with , and making use of the Fourier series in power of the parameter With , and .…”

Section: Methodsmentioning

confidence: 52%

“…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%

“…This expansion enables the deduction of a more manipulable equation from the model without losing their vital characteristics features. It has recently being widely extended to many other physical and biological media 4 , 31 , 32 .…”

Section: Methodsmentioning

confidence: 99%

“…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 . Researchers may further build neural circuits coupled with thermistors, whose conductance is temperature dependent in other to investigate cooperative behaviors such synchronization consensus due to heat capture 49 .…”

Section: Spatiotemporal Patterns Under Thermoelectric Couplings the mentioning

confidence: 99%

See 3 more Smart Citations

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

Takembo

Fouda

2020

Sci Rep

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: Methodsmentioning

confidence: 52%

Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Spatiotemporal Patterns Under Thermoelectric Couplings the mentioning

confidence: 99%

See 2 more Smart Citations

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

Takembo

Fouda

2020

Sci Rep

Self Cite

View full text Add to dashboard Cite

show abstract

“…Through the mechanism of modulational instability, Takembo et al . [20] discussed the possibility of global synchronization for small memristive synaptic coupling within a neuronal network with nearest neighbor interaction. Albeit the satisfactory results discussed, the appropriate mechanism underlying the spatial structures of activity within a reliable neuronal network is still under investigation.…”

Section: Introductionmentioning

confidence: 99%

Localized nonlinear excitations in diffusive memristor-based neuronal networks

et al. 2019

View full text Add to dashboard Cite

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.

show abstract

Coupling Functions in Neuroscience

Stankovski

2021

Understanding Complex Systems

View full text Add to dashboard Cite

Effect of electromagnetic radiation on the dynamics of spatiotemporal patterns in memristor-based neuronal network

Cited by 72 publications

References 42 publications

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

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

Localized nonlinear excitations in diffusive memristor-based neuronal networks

Coupling Functions in Neuroscience

Contact Info

Product

Resources

About