Self-synchronization of the integrate-and-fire pacemaker model with continuous couplings

Akhmet, Marat

doi:10.1016/j.nahs.2011.07.003

Cited by 10 publications

(9 citation statements)

References 60 publications

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“…Although there are more developed neuron models and Lapique neuron model is being the simplest neuron model of them all, even today, Lapicque's neuron model is still one of the most used neuron models in neuroscience. It has found application areas in neural and cellular networks studies and also in computational neurology due to its simplicity [2,[12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31]. Synchronization of two cardiomyocyte with Integrate and fire neuron model model is examined in [16].…”

Section: Introductionmentioning

confidence: 99%

“…An adaptive neural firing pattern is studies with a variant of the integrate-and-fire neuron model in [20]. Self-synchronization of the integrate-and-fire pacemaker model with continuous couplings is examined in [21]. A network of integrate and fire neurons is used for visual selection [22].…”

Section: Introductionmentioning

confidence: 99%

“…Neuron emulators are commonly used to examine neuron systems or behaviour of neurons [32][33][34][35][36][37][38][39][40]. As shown in [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31], Lapique neuron model is quite useful and an emulator of the neuron would be quite beneficial for not only research but also educational purposes. In this study, first, Lapicque neuron model is summarized and, then a Lapicque neuron emulator circuit which can be made using cheap and off-the shelves circuit components is suggested.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Simple Lapicque Neuron Emulator

Tulumbaci¹,

Eryildiz²,

Mutlu³

2020

World Congress on Electrical Engineering and Computer Systems and Science

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Neuron models such as Leaky Integrate and Fire (Lapicque Neuron) model, Hodgkin Huxley Model, Fitzhugh-Nagumo Model, and Izhikevich neuron model are commonly used in neuronal studies. Nobel laureate Hudgkin-Hugsley neuron model is quite complex despite of being accurate. That's why simplified neuron models such as Fitzhugh-Nagumo neuron model is commonly used in studies. Lapicque Neuron is the first neuron model suggested in Literature. It had been reported by Lapicque in 1907, it is easy to understand, and it is still commonly used for neural studies for its simplicity. Neuron emulator circuits are used for education and research purposes. They can be made using individual electronics components or VLSI circuits. In this study, a Lapicque Neuron emulator circuit topology is introduced. It is simple enough to be made by students and it can be made using cheap off-the shelves components in a short time. Its circuit analysis is also given. It is experimentally shown that the emulator is able to mimic activation potentials well. It is suggested that the neuron emulator can be used for not only educational purposes in Biomedical Engineering Courses but also neuronal studies to show and prove concepts.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Simple Lapicque Neuron Emulator

Tulumbaci¹,

Eryildiz²,

Mutlu³

2020

World Congress on Electrical Engineering and Computer Systems and Science

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“…Due to different applications of synchronization, a wide variety of approaches and controllers have been proposed, including adaptive control [4,12,13,23,34,35], finite-time control [1,29,32], sliding mode control [5,16,20,21,22,33] and so on. DOI: 10.14736/kyb-2017- Most previous works focused on the synchronization of coupled systems with continuous coupling [2,19,36]. In this case, the synchronization condition can be derived by using the Lyapunov function or functional method.…”

Section: Introductionmentioning

confidence: 99%

Synchronization of time-delayed systems with discontinuous coupling

Shi¹,

Miao²,

Sun³

2017

Kybernetika

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“…In the present analysis we address synchronization as well as the existence of periodic solutions. Results that concern continuous and delayed couplings are considered in [42,43].…”

Section: Introductionmentioning

confidence: 99%

Analysis of biological integrate-and-fire oscillators

Akhmet

2010

Preprint

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We consider discontinuous dynamics of integrate-and-fire models, which consist of pulse-coupled biological oscillators. A thoroughly constructed map is in the basis of the analysis. Synchronization of non-identical oscillators is investigated. Significant advances for the solution of second Peskin's conjecture have been made. Examples with numerical simulations are given to validate the theoretical results. Perspectives are discussed.

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Self-synchronization of the integrate-and-fire pacemaker model with continuous couplings

Cited by 10 publications

References 60 publications

A Simple Lapicque Neuron Emulator

A Simple Lapicque Neuron Emulator

Synchronization of time-delayed systems with discontinuous coupling

Analysis of biological integrate-and-fire oscillators

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