UDC 517.946+517.948+612.821.6
1 V.M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
 olga-gulchak@ukr.net
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2 V.M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
pisarenkojv@gmail.com
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MATEMATICAL MODEL OF THE FUNCTIONING OF CONDITIONED REFLEXES
Abstract. The basic principles and approaches to mathematical modeling of conditioned reflexes in a human or animal on the basis of the developed mathematical apparatus of differential equations with a delayed argument are proposed and analyzed. This model clearly takes into account the slow interaction of a group of interconnected neurons and illustrates the dependence of the decision-making speed in real typical situations on the magnitude of the delay in the passage of a neuro signal in the CNS. The mechanism of generating a number of conditioned reflexes, the so-called multi-link conditioned reflexes, is shown.
Keywords: mathematical modeling, multilevel conditioned reflexes, delayed interaction of neurons, living neural network, memory mechanism.
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