Discrete Modeling of Neuronal Interactions in Multi-Transmitter Networks


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This paper presents a discrete model of non-synaptic interactions between neurons, which are performed by special chemical agents, neurotransmitters. In this model, all signals are broadcast: each neuron’s activity can be perceived by all other neurons that are sensitive to its neurotransmitter. The purpose of leaving synapses out is to demonstrate the importance of heterochemical1 interactions in the nervous system. Transmitter-specific neurons are described as finite automatons, which are a generalization of the traditional formal neuron. In a network consisting of such neurons, all connections are functional and not structural. This feature makes it possible to explain rapid reconfigurations of activity patterns in the generation of different rhythms by neuron ensembles, which are observed in living systems. We discuss and justify the choice of a discrete mathematical framework for simulation of heterochemical interactions.

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N. Bazenkov

Trapeznikov Institute of Control Sciences

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Email: n.bazenkov@yandex.ru
俄罗斯联邦, Moscow, 117342

D. Vorontsov

Koltzov Institute of Developmental Biology

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Email: D.Vorontsov@idbras.ru
俄罗斯联邦, Moscow, 119334

V. Dyakonova

Koltzov Institute of Developmental Biology

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Email: V.Dyakonova@idbras.ru
俄罗斯联邦, Moscow, 119334

L. Zhilyakova

Trapeznikov Institute of Control Sciences

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Email: zhilyakova.ludmila@gmail.com
俄罗斯联邦, Moscow, 117342

I. Zakharov

Koltzov Institute of Developmental Biology

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Email: iszakharov@yandex.ru
俄罗斯联邦, Moscow, 119334

O. Kuznetsov

Trapeznikov Institute of Control Sciences

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Email: olpkuz@yandex.ru
俄罗斯联邦, Moscow, 117342

S. Kulivets

Trapeznikov Institute of Control Sciences

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Email: skulivec@yandex.ru
俄罗斯联邦, Moscow, 117342

D. Sakharov

Koltzov Institute of Developmental Biology

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Email: dant1930@gmail.com
俄罗斯联邦, Moscow, 119334

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