THE TOPOLOGICAL AND DYNAMIC CHARACTERISTICS OF NEURONIC ENSEMBLES IN THE BRAIN AS PERCOLATING FRACTAL SETS

Abstract

The objective of the research was to determine of neuronic ensembles in the brain. The research was based that neuronic ensembles of a brain are considered as the percolating clusters. In the basic part of the study the main concern was determination of the following parameters: fractal dimension on a passing threshold df; for geodetic lines on a fractal dθ and for trajectories of particles in a turbulence field dw. In the same part of a research the index of a compendency (θ) of neuronic ensembles of animals and the human brain is defined. As well as it was supposed has a negative value θ 1. Numerical calculations with use of results of computer analysis frontal section images of a hypothalamus of a brain of animals and human are shown, that the considered objects can be ranked to the special class of fractal objects. Such class of objects is called asymptotically arcwise connected.

Keywords

• фрактал
• фрактальная размерность
• фрактальный анализ
• гипоталамус
• нейронные кластеры
• самоорганизация нейронных структур