title: ÐÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð½ÐµÑÐµÑÐºÐ¾Ð¹ ÐºÐ»Ð°ÑÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ð¸ Ðº Ð´ÐµÐ½Ð´ÑÐ¸ÑÐ½ÑÐ¼ ÑÐ¸Ð¿Ð¸ÐºÐ°Ð¼
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Application of fuzzy clustering to dendritic spines
Creators: name: ÐÐ°ÑÐ½ÐµÐ²Ð°, ÐÐ°ÑÐ¸Ð½Ð°
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: 2024
Subjects: Ð´ÐµÐ½Ð´ÑÐ¸ÑÐ½ÑÐ¹ ÑÐ¸Ð¿Ð¸Ðº
Ð½ÐµÑÐµÑÐºÐ°Ñ ÐºÐ»Ð°ÑÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ñ
Ð¼Ð¾ÑÑÐ¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¸Ðµ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÐ¸
dendritic spines
fuzzy clustering
morphological features

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð½Ð°ÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ð° ÐºÐ»Ð°ÑÑÐµÑÐ¾Ð², ÐºÐ¾ÑÐ¾ÑÐ¾Ðµ Ð¿ÑÐµÐ²Ð¾ÑÑÐ¾Ð´Ð¸Ñ ÑÑÐ°Ð´Ð¸ÑÐ¸Ð¾Ð½Ð½ÑÑ ÐºÐ»Ð°ÑÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ñ Ð´ÐµÐ½Ð´ÑÐ¸ÑÐ½ÑÑ ÑÐ¸Ð¿Ð¸ÐºÐ¾Ð² Ð½Ð° ÑÐµÑÑÑÐµ ÐºÐ°ÑÐµÐ³Ð¾ÑÐ¸Ð¸: Ð³ÑÐ¸Ð±Ð¾Ð²Ð¸Ð´Ð½ÑÐµ, ÐºÐ¾ÑÐ¾ÑÐºÐ¸Ðµ, ÑÐ¾Ð½ÐºÐ¸Ðµ Ð¸ ÑÐ¸Ð»Ð¾Ð¿Ð¾Ð´Ð¸Ð¸. ÐÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð½ÐµÑÐµÑÐºÐ¾Ð³Ð¾ ÐºÐ»Ð°ÑÑÐµÑÐ½Ð¾Ð³Ð¾ Ð¼ÐµÑÐ¾Ð´Ð° â ÑÑÐ¾ Ð½Ð¾Ð²ÑÐ¹ Ð¿Ð¾Ð´ÑÐ¾Ð´ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° ÑÐ¾ÑÐ¼Ñ Ð´ÐµÐ½Ð´ÑÐ¸ÑÐ½Ð¾Ð³Ð¾ ÑÐ¸Ð¿Ð¸ÐºÐ°. ÐÐ»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð±ÑÐ» ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½ ÑÐ°Ð¼Ð¾ÑÑÐ¾ÑÑÐµÐ»ÑÐ½Ð¾ Ð¸ Ñ ÑÐµÐ»ÑÑ ÐµÐ³Ð¾ ÑÑÐ¾Ð²ÐµÑÑÐµÐ½ÑÑÐ²Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð»Ð°ÑÑ Ð¸Ð½Ð°Ñ Ð¼ÐµÑÑÐ¸ÐºÐ° ÑÐ°ÑÑÑÐ¾ÑÐ½Ð¸Ñ, Ð»ÑÑÑÐµ Ð¾ÑÑÐ°Ð¶Ð°ÑÑÐ°Ñ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÐ¸ Ð² ÑÐ»ÑÑÐ°Ðµ Ð´Ð¸ÑÐºÑÐµÑÐ½Ð¾Ð¹ Ð²ÑÐ±Ð¾ÑÐºÐ¸, Ð² Ð¾ÑÐ»Ð¸ÑÐ¸Ðµ Ð¾Ñ ÑÑÐ°Ð´Ð¸ÑÐ¸Ð¾Ð½Ð½Ð¾Ð³Ð¾ ÐµÐ²ÐºÐ»Ð¸Ð´Ð¾Ð²Ð° ÑÐ°ÑÑÑÐ¾ÑÐ½Ð¸Ñ. Ð­ÑÐ¾ Ð¿Ð¾Ð·Ð²Ð¾Ð»Ð¸Ð»Ð¾ ÑÐ¾ÑÐ½ÐµÐµ ÑÐ³ÑÑÐ¿Ð¿Ð¸ÑÐ¾Ð²Ð°ÑÑ Ð´Ð°Ð½Ð½ÑÐµ, ÑÑÐ¸ÑÑÐ²Ð°Ñ Ð¸Ñ ÑÐ½Ð¸ÐºÐ°Ð»ÑÐ½ÑÑ Ð¿ÑÐ¸ÑÐ¾Ð´Ñ. ÐÐ»Ð°ÑÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ñ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð»Ð°ÑÑ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð·Ð°ÑÐ°Ð½ÐµÐµ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð½ÑÑ ÐºÐ»Ð°ÑÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼ÐµÑÑÐ¸Ðº ÑÐ¾ÑÐ¼Ñ Ð¸ Ð³Ð¸ÑÑÐ¾Ð³ÑÐ°Ð¼Ð¼ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð´Ð»Ð¸Ð½ ÑÐ¾ÑÐ´. ÐÑÐ»Ð¾ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð¾ Ð¾Ð¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½Ð¾Ðµ ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ð¾ ÐºÐ»Ð°ÑÑÐµÑÐ¾Ð², Ð° ÑÐ°ÐºÐ¶Ðµ Ð²ÑÐ´ÐµÐ»ÐµÐ½Ñ Ð¼Ð¾ÑÑÐ¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¸Ðµ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÐ¸ ÐºÐ°Ð¶Ð´Ð¾Ð³Ð¾ ÐºÐ»Ð°ÑÑÐµÑÐ° Ð½Ð° Ð´Ð²ÑÑ Ð¾Ð±ÑÑÐ°ÑÑÐ¸ÑÑÑ Ð²ÑÐ±Ð¾ÑÐºÐ°Ñ. ÐÐ»Ñ Ð²Ð¸Ð·ÑÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð±ÑÐ» Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½ Ð¼ÐµÑÐ¾Ð´ ÑÐ°Ð²Ð½Ð¾Ð¼ÐµÑÐ½Ð¾Ð³Ð¾ Ð¿ÑÐ¸Ð±Ð»Ð¸Ð¶ÐµÐ½Ð¸Ñ Ð¸ Ð¿ÑÐ¾ÐµÐºÑÐ¸Ð¸ Ð¼Ð½Ð¾Ð³Ð¾Ð¾Ð±ÑÐ°Ð·Ð¸Ñ (Uniform Manifold Approximation and Projection, UMAP), ÐºÐ¾ÑÐ¾ÑÑÐ¹ Ð»ÑÑÑÐµ Ð²ÑÐµÐ³Ð¾ ÑÐ¼Ð¾Ð³ Ð¾ÑÐ¾Ð±ÑÐ°Ð·Ð¸ÑÑ Ð¼Ð½Ð¾Ð³Ð¾Ð¼ÐµÑÐ½ÑÐµ Ð´Ð°Ð½Ð½ÑÐµ Ð² Ð´Ð²ÑÐ¼ÐµÑÐ½Ð¾Ð¼ Ð¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÐ²Ðµ.
description: This work is devoted to finding the optimal number of clusters that surpasses the traditional classification of dendritic spines into four categories: mushroom-shaped, short, thin and filopodia. The use of the fuzzy cluster method is a new approach to analyzing the shape of a dendritic spines. The algorithm was implemented independently and in order to improve it, a different distance metric was used, which better reflects the features in the case of a discrete sample, unlike the traditional Euclidean distance. This made it possible to group the data more precisely, given their unique nature. Clustering was carried out on the basis of predefined classical shape metrics and histograms of the chord length distribution. The optimal number of clusters was obtained, and morphological features of each cluster were identified in two training samples. To visualize the results, the Uniform Manifold Approximation and Projection (UMAP) method was used, which was best able to display multidimensional data in twoâdimensional space.