title: Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° ÑÐµÐ³Ð¼ÐµÐ½ÑÐ½Ð¾Ð¹ ÑÐ¿Ð°Ð¹ÐºÐ¾Ð²Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð½ÐµÐ¹ÑÐ¾Ð½Ð° Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÐºÐ°Ð±ÐµÐ»ÑÐ½Ð¾Ð¹ ÑÐµÐ¾ÑÐ¸Ð¸ Ð´Ð»Ñ Ð½ÐµÐ¹ÑÐ¾Ð¼Ð¾ÑÑÐ½ÑÑ ÑÐ¸ÑÑÐµÐ¼
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: The development of a compartmental spiking neuron model based on the cable theory for neuromorphic systems
Creators: name: ÐÐµÐ¼ÑÐµÐ²Ð°, ÐÐ»ÐµÐºÑÐ°Ð½Ð´ÑÐ°
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2023
Subjects: ÑÐ¿Ð°Ð¹ÐºÐ¾Ð²ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð½ÐµÐ¹ÑÐ¾Ð½Ð°
ÑÐµÐ³Ð¼ÐµÐ½ÑÐ½ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð½ÐµÐ¹ÑÐ¾Ð½Ð°
ÐºÐ°Ð±ÐµÐ»ÑÐ½Ð°Ñ ÑÐµÐ¾ÑÐ¸Ñ
ÑÐµÐ³Ð¼ÐµÐ½ÑÐ½Ð°Ñ ÑÐ¿Ð°Ð¹ÐºÐ¾Ð²Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð½ÐµÐ¹ÑÐ¾Ð½Ð°
Ð½ÐµÐ¹ÑÐ¾Ð¼Ð¾ÑÑÐ½ÑÐµ ÑÐ¸ÑÑÐµÐ¼Ñ
spiking neural networks
compartmental neuron models
cable theory
compartmental spiking neuron model
neuromorphic systems

description: Ð Ð°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ ÑÐµÐ³Ð¼ÐµÐ½ÑÐ½Ð¾Ð¹ ÑÐ¿Ð°Ð¹ÐºÐ¾Ð²Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð½ÐµÐ¹ÑÐ¾Ð½Ð° Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÐºÐ°Ð±ÐµÐ»ÑÐ½Ð¾Ð¹ ÑÐµÐ¾ÑÐ¸Ð¸. Ð¦ÐµÐ»ÑÑ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ¸ ÑÐ²Ð»ÑÐ»Ð°ÑÑ Ð¸Ð´ÐµÐ½ÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ñ Ð¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÐ²ÐµÐ½Ð½ÑÑ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² CSNM (ÑÐµÐ³Ð¼ÐµÐ½ÑÐ½Ð¾Ð¹ ÑÐ¿Ð°Ð¹ÐºÐ¾Ð²Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð½ÐµÐ¹ÑÐ¾Ð½Ð°, compartmental spiking neuron model) Ð¿Ð¾ Ð±Ð¾Ð»ÐµÐµ Ð±Ð¸Ð¾Ð¿Ð¾Ð´Ð¾Ð±Ð½Ð¾Ð¹ ÐºÐ°Ð±ÐµÐ»ÑÐ½Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð´ÐµÐ½Ð´ÑÐ¸ÑÐ¾Ð². Ð ÑÐ°Ð¼ÐºÐ°Ñ ÑÐ°Ð±Ð¾ÑÑ Ð¿ÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½ ÑÐ¿Ð¾ÑÐ¾Ð± Ð¸Ð½ÑÐµÐ³ÑÐ°ÑÐ¸Ð¸ ÐºÐ°Ð±ÐµÐ»ÑÐ½Ð¾Ð³Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ð² Ð°ÑÑÐ¸ÑÐµÐºÑÑÑÑ CSNM, ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð° Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð°Ñ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ ÑÐµÐ³Ð¼ÐµÐ½ÑÐ½Ð¾Ð¹ ÑÐ¿Ð°Ð¹ÐºÐ¾Ð²Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð½ÐµÐ¹ÑÐ¾Ð½Ð° Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÐºÐ°Ð±ÐµÐ»ÑÐ½Ð¾Ð¹ ÑÐµÐ¾ÑÐ¸Ð¸. ÐÐ¾ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ°Ð¼ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¹ Ð±ÑÐ»Ð¾ Ð¿Ð¾ÐºÐ°Ð·Ð°Ð½Ð¾, ÑÑÐ¾ ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½Ð½Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð²Ð¾ÑÐ¿ÑÐ¾Ð¸Ð·Ð²Ð¾Ð´Ð¸Ñ Ð¾ÑÐ½Ð¾Ð²Ð½ÑÐµ Ð·Ð°ÐºÐ¾Ð½Ð¾Ð¼ÐµÑÐ½Ð¾ÑÑÐ¸ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ñ ÑÐ¸Ð³Ð½Ð°Ð»Ð° Ð¿ÑÐ¸ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ ÑÐ°Ð·Ð¼ÐµÑÐ°Ñ ÑÐ¾Ð¼Ñ Ð¸ Ð´Ð»Ð¸Ð½Ñ Ð´ÐµÐ½Ð´ÑÐ¸ÑÐ°; ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ñ ÐºÐ»Ð°ÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»ÑÑ Ð¿Ð¾ÑÐ¾Ð³Ð¾Ð²Ð¾Ð³Ð¾ Ð¸Ð½ÑÐµÐ³ÑÐ°ÑÐ¾ÑÐ° ÑÐ°ÐºÐ¶Ðµ Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÑÑ Ð³Ð¾Ð²Ð¾ÑÐ¸ÑÑ Ð¾ ÐµÐµ ÑÐ°Ð±Ð¾ÑÐ¾ÑÐ¿Ð¾ÑÐ¾Ð±Ð½Ð¾ÑÑÐ¸. Ð ÑÐµÐ¶Ð¸Ð¼Ðµ ÑÐ¾ÑÐµÑÐ½Ð¾Ð³Ð¾ Ð½ÐµÐ¹ÑÐ¾Ð½Ð° ÑÐ´Ð°Ð»Ð¾ÑÑ Ð´Ð¾Ð±Ð¸ÑÑÑÑ ÐºÐ°ÑÐµÑÑÐ²ÐµÐ½Ð½Ð¾ ÑÑÐ¾Ð¶ÐµÐ³Ð¾ Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ñ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¸ CSNM. Ð­ÑÐ¾ Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÐµÑ Ð¿ÑÐ¸Ð±Ð»Ð¸Ð·Ð¸ÑÐµÐ»ÑÐ½Ð¾ Ð¸Ð´ÐµÐ½ÑÐ¸ÑÐ¸ÑÐ¸ÑÐ¾Ð²Ð°ÑÑ Ð¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÐ²ÐµÐ½Ð½ÑÐµ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÑ CSNM Ð¸ Ð´Ð»Ñ Ð´Ð°Ð½Ð½Ð¾Ð¹ ÐºÐ¾Ð½ÑÐ¸Ð³ÑÑÐ°ÑÐ¸Ð¸ Ð½ÐµÐ¹ÑÐ¾Ð½Ð° Ð¿ÑÐ¸Ð½ÑÑÑ Ð´Ð»Ð¸Ð½Ñ ÑÐµÐ³Ð¼ÐµÐ½ÑÐ° ÑÐ°Ð²Ð½Ð¾Ð¹ 200 Ð¼ÐºÐ¼, Ð° Ð´Ð¸Ð°Ð¼ÐµÑÑ ÑÐµÐ³Ð¼ÐµÐ½ÑÐ° 20 Ð¼ÐºÐ¼. Ð­ÑÐ¾Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°Ñ ÑÐ¾Ð¿Ð¾ÑÑÐ°Ð²Ð¸Ð¼ Ñ Ð±Ð¸Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¸Ð¼Ð¸ Ð´Ð°Ð½Ð½ÑÐ¼Ð¸.
description: The work is devoted to the development of a compartment spiking neuron model based on the cable theory. The aim of the development was to identify the spatial parameters of CSNM (compartmental spiking neuron model) by a more biosimilar cable model. As part of the work, a method for integrating the cable equation into the CSNM architecture is proposed and a software implementation of a compartment spiking neuron model based on the cable theory is developed. Based on the results of experimental studies, it was shown that the implemented model reproduces the basic patterns of signal propagation at different soma sizes and dendrite lengths; the results of comparing the model with classical Integrate-and-Fire model also confirms the operability of the implemented model. For a point-neuron configuration of the developed model and CSNM, a qualitatively similar behavior was achieved. This allowed to approximately identify the spatial parameters of CSNM and to assume for this model configuration a segment length equal to 200 microns and a segment diameter of 20 microns. This result is comparable with biological data.