Synaptic transmission as a cooperative phenomenon in confined systems
In this review paper, the theory of synaptic transmission (ST) was developed and discussed. We used the hypothesis of isomorphism between: (a) the cooperative behavior of mediators — acetylcholine molecules (ACh) and cholinoreceptors in a synaptic cleft with binding into mediator-receptor (AChR) co...
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| Дата: | 2017 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
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Інститут фізики конденсованих систем НАН України
2017
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/156968 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Synaptic transmission as a cooperative phenomenon in confined systems / A.V. Chalyi, A.N. Vasilev, E.V. Zaitseva // Condensed Matter Physics. — 2017. — Т. 20, № 1. — С. 13804: 1–12. — Бібліогр.: 44 назв. — англ. |
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irk-123456789-1569682019-06-20T01:25:30Z Synaptic transmission as a cooperative phenomenon in confined systems Chalyi, A.V. Vasilev, A.N. Zaitseva, E.V. In this review paper, the theory of synaptic transmission (ST) was developed and discussed. We used the hypothesis of isomorphism between: (a) the cooperative behavior of mediators — acetylcholine molecules (ACh) and cholinoreceptors in a synaptic cleft with binding into mediator-receptor (AChR) complexes, (b) the critical phenomena in confined binary liquid mixtures. The systems of two (or three) nonlinear differential equations were proposed to find the change of concentrations of ACh, AChR complexes, and ferment acetylcholinesterase. The main findings of our study: the linear size of the activation zone was evaluated; the process of postsynaptic membrane activation was described as a cooperative process; different approximations of ACh synchronous release were examined; stationary states and types of singular points were studied for the proposed models of ST; the nonlinear kinetic model with three order parameters demonstrated a strange-attractor behavior. У цьому оглядi була розроблена i обговорена теорiя синаптичної передачi (СП). Ми застосували гiпотезу iзоморфiзму мiж: (а) кооперативною поведiнкою медiаторiв — молекул ацетилхолiну (ACh) i холiнорецепторiв в синаптичнiй щiлинi з утворенням медiатор-рецепторних (AChR) комплексiв, (б) критичними явищами в просторово обмежених бiнарних рiдких сумiшах. Були запропонованi системи двох (або трьох) нелiнiйних диференцiальних рiвнянь для опису змiни концентрацiй ACh, комплексiв AChR i ферменту ацетилхолiнестерази. Основнi результати нашого дослiдження: оцiнено лiнiйний розмiр зони активацiї; описано процес активацiї постсинаптичної мембрани як кооперативний процес; розглянуто рiзнi апроксимацiйнi функцiї синхронного вивiльнення ACh; дослiджено стацiонарнi стани i типи особливих точок для запропонованих моделей СП; показано, що нелiнiйна кiнетична модель з трьома параметрами порядку демонструє поведiнку дивного атрактора. 2017 Article Synaptic transmission as a cooperative phenomenon in confined systems / A.V. Chalyi, A.N. Vasilev, E.V. Zaitseva // Condensed Matter Physics. — 2017. — Т. 20, № 1. — С. 13804: 1–12. — Бібліогр.: 44 назв. — англ. 1607-324X PACS: 82.40.Ck, 87.10.Ed DOI:10.5488/CMP.20.13804 arXiv:1703.10410 http://dspace.nbuv.gov.ua/handle/123456789/156968 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
In this review paper, the theory of synaptic transmission (ST) was developed and discussed. We used the hypothesis of isomorphism between: (a) the cooperative behavior of mediators — acetylcholine molecules (ACh)
and cholinoreceptors in a synaptic cleft with binding into mediator-receptor (AChR) complexes, (b) the critical
phenomena in confined binary liquid mixtures. The systems of two (or three) nonlinear differential equations
were proposed to find the change of concentrations of ACh, AChR complexes, and ferment acetylcholinesterase.
The main findings of our study: the linear size of the activation zone was evaluated; the process of postsynaptic
membrane activation was described as a cooperative process; different approximations of ACh synchronous
release were examined; stationary states and types of singular points were studied for the proposed models of
ST; the nonlinear kinetic model with three order parameters demonstrated a strange-attractor behavior. |
| format |
Article |
| author |
Chalyi, A.V. Vasilev, A.N. Zaitseva, E.V. |
| spellingShingle |
Chalyi, A.V. Vasilev, A.N. Zaitseva, E.V. Synaptic transmission as a cooperative phenomenon in confined systems Condensed Matter Physics |
| author_facet |
Chalyi, A.V. Vasilev, A.N. Zaitseva, E.V. |
| author_sort |
Chalyi, A.V. |
| title |
Synaptic transmission as a cooperative phenomenon in confined systems |
| title_short |
Synaptic transmission as a cooperative phenomenon in confined systems |
| title_full |
Synaptic transmission as a cooperative phenomenon in confined systems |
| title_fullStr |
Synaptic transmission as a cooperative phenomenon in confined systems |
| title_full_unstemmed |
Synaptic transmission as a cooperative phenomenon in confined systems |
| title_sort |
synaptic transmission as a cooperative phenomenon in confined systems |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/156968 |
| citation_txt |
Synaptic transmission as a cooperative phenomenon in confined systems / A.V. Chalyi, A.N. Vasilev, E.V. Zaitseva // Condensed Matter Physics. — 2017. — Т. 20, № 1. — С. 13804: 1–12. — Бібліогр.: 44 назв. — англ. |
| series |
Condensed Matter Physics |
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AT chalyiav synaptictransmissionasacooperativephenomenoninconfinedsystems AT vasilevan synaptictransmissionasacooperativephenomenoninconfinedsystems AT zaitsevaev synaptictransmissionasacooperativephenomenoninconfinedsystems |
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2023-05-20T17:50:56Z |
| last_indexed |
2023-05-20T17:50:56Z |
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1796154232734220288 |