Double-pool kinetic model of synapse activation

Vasilev, A. N.; Kislyak, S. V.

doi:10.30970/jps.14.4801

Cited by 4 publications

(8 citation statements)

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“…First of all, it may be of interest from the viewpoint of the creation of artificial synapse-type elements. It should also be noted that the obtained dependences are in good agreement with the results of a model applied in work [30] to solve a similar problem with the help of different methods.…”

Section: Transmission Of a Single Impulsesupporting

confidence: 83%

“…It should be noted that, in addition to a very obvious practical interest, the model can be interesting per se, because it can be used to determine the activation function of artificial neurons, while creating neural networks. It is also noteworthy that the proposed model is based on the approach that was earlier used for the creation of kinetic models to describe the synaptic information transmission [28,29], in particular, at the stage of mediator exocytosis into the synapse [30].…”

Section: Introductionmentioning

confidence: 99%

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A Pool Model of the Mediator Exocytosis into the Synapse

Vasilev

Khvyl

2019

Ukr. J. Phys.

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A model describing the mediator release into a synaptic cleft and making allowance for the pool structure of the presynaptic region has been proposed. Namely, the presynaptic region is assumed to contain two pools with vesicles that accumulate the mediator. A nerve impulse stimulates the injection of mediator from the first pool into the synaptic cleft. Simultaneously, the mediator from the second pool diffuses into the first one. The replenishment of the second pool occurs by absorbing the mediator from the synaptic cleft. Various operational modes of this model are considered. In particular, specific features of the single-impulse transmission through the system are studied. The functioning of the system with a feedback (the output signal is supplied to the input of the system) is analyzed, and it is shown that, in this case, a parameter determining the feedback intensity has a critical character: at the parameter values not exceeding the critical value, the presence of feedback does not govern the functioning of the system at the qualitative level.

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Section: Transmission Of a Single Impulsesupporting

confidence: 83%

Section: Introductionmentioning

confidence: 99%

A Pool Model of the Mediator Exocytosis into the Synapse

Vasilev

Khvyl

2019

Ukr. J. Phys.

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“…In this sense, it can be argued that the relevant topic is interdisciplinary. This article is a continuation of a series of studies [23][24][25][26][27][28], which were initiated in work [5], and, for which, the interdisciplinarity factor was the key one. This circumstance made it possible to formulate and develop several original models that allowed us to obtain interesting and promising results in the direction aimed at studying the synaptic transmission of information [28].…”

Section: Signal Transmission Through the Synapsementioning

confidence: 99%

Аналіз Синаптичної Передачі Сигналів На Основі Кінетичної Моделі

Vasyliev,

Zaitseva,

Chalyi

2024

Ukr. J. Phys.

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У статтi аналiзуються особливостi передачi нервових сигналiв через синаптичну щiлину (контакт мiж двома нейронами). Вiдповiдний аналiз виконується з використанням кi-нетичної моделi, яка ґрунтується на системi нелiнiйних диференцiальних рiвнянь першого порядку i дозволяє вiдстежувати кiлькiсть активованих рецепторiв на постсинаптичнiй мембранi та кiлькiсть медiатора в синаптичнiй щiлинi. Модель поєднує в собi вiдносну простоту та функцiональнiсть, що дозволяє отримувати якiснi результати, спiвставнi з наявними експериментальними даними та результатами iнших теоретичних дослiджень. Показано, що модель на якiсному рiвнi коректно описує процес проходження сигналу через синаптичну щiлину. Отримано та проаналiзовано точнi (числовi) та наближенi (аналiтичнi) розв’язки для кiлькостi активованих рецепторiв на постсинаптичнiй мембранi та кiлькостi медiатора в синаптичнiй щiлинi. Доведено стiйкiсть стацiонарних станiв в рамках моделi, що свiдчить про самоузгодженiсть останньої i можливiсть її використання для моделювання проходження сигналiв через синапс.

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“…Next we propose a model that describes the mediator transportation in the synaptic cleft and the interaction of the mediator with receptors on the postsynaptic membrane. The presented paper belongs to the series of works [5][6][7][8][9][10][11][12][13][14] which are devoted to the problem of synaptic transmission.…”

Section: Introductionmentioning

confidence: 99%

Modeling the nerve impulse transmission in a synaptic cleft

Kulish¹,

Vasilev²

2019

J. Phys. Stud.

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We propose a model of the nerve impulse spreading through a synaptic cleft (chemical synapse). The model takes into account the diffusion of the mediator in the synaptic cleft and the interaction of the mediator with the receptors on the postsynaptic membrane. We consider a system of two equations. One of them describes the diffusion of the mediator in the synaptic cleft, and the other describes the interaction of the mediator with the receptors on the postsynaptic membrane. This is the key process of the nerve impulse transmission since activating the receptors leads to generating a new nerve impulse, which spreads through the contacting neuron. We find an analytical solution for the system of equations, and on the basis of this solution, we calculate some important characteristics which determine the regime of the nerve impulse transmission. In particular, we find how the number of activated receptors changes with time, and how these activated receptors are distributed within the postsynaptic membrane. We also calculate the size of the activation zone of the postsynaptic membrane and show that it is proportional to the size of the activation zone of the presynaptic membrane. Moreover, we investigate how the thickness of the synaptic cleft affects the activation characteristics of the synapse. We find that increasing the thickness of the cleft decreases the size of the activation zone of the postsynaptic membrane.

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Double-pool kinetic model of synapse activation

Cited by 4 publications

References 0 publications

A Pool Model of the Mediator Exocytosis into the Synapse

A Pool Model of the Mediator Exocytosis into the Synapse

Аналіз Синаптичної Передачі Сигналів На Основі Кінетичної Моделі

Modeling the nerve impulse transmission in a synaptic cleft

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