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JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2019 Volume 26, Number 1, Pages 78–93 (Mi vkam344)

MATHEMATICAL MODELING

Choosing the model of biological neural network for image segmentation of a bio-liquid facie

M. Å. Semenovab, T. Yu. Zablotskayacd

a Geophysical Service of the Russian Academy of Sciences
b Russian Air Force Military Educational and Scientific Center of the "N. E. Zhukovskiy and Yu. A. Gagarin Air Force Academy", Voronezh
c Branch of The Moscow State Institute of Steel and Alloys Starooskol'skii Technological Institute
d Branch of the Voronezh Economics and Law Institute in the city of Stary Oskol

Abstract: In the paper, the biological neural network models are analyzed with a purpose to solve the problems of segmentation and pattern recognition when applied to the bio-liquid facies obtained by the cuneiform dehydration method. The peculiarities of the facies’ patterns and the key steps of their digital processing are specified in the frame of the pattern recognition. Feasibility of neural network techniques for the different image data level digital processing is reviewed as well as for image segmentation. The real-life biological neural network architecture concept is described using the mechanisms of the electrical input-output membrane voltage and both induced and endogenic (spontaneous) activities of the neural clusters when spiking. The mechanism of spike initiation is described for metabotropic and ionotropic receptive clusters with the nature of environmental exciting impact specified. Also, the mathematical models of biological neural networks that comprise not only functional nonlinearities but the hysteretic ones are analyzed and the reasons are given for preference of the mathematical model with delay differential equations is chosen providing its applicability for modeling a single neuron and neural network as well.

Keywords: biological neural network, hysteresis, facie, texture, image recognition.

UDC: 004.93

MSC: 76W05, 86A25

Received: 22.02.2019

Language: English

DOI: 10.26117/2079-6641-2019-26-1-78-93



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