A New Living Neuronet Model Taking into Account Retarded Interactions Between Neurons
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DEBATABLE COMMUNICATIONS A NEW LIVING NEURONET MODEL TAKING INTO ACCOUNT RETARDED INTERACTIONS BETWEEN NEURONS
V. G. Pisarenko
UDC 517.946+517.948+612.821.6
Abstract. A new model of operation of a living neural network is proposed. For this model, a new mathematical basis is substantiated for the mechanism of memorization and accumulation of information important for the survival of an organism. The mechanism is based on taking into account retarded interactions between neurons during information transmission. This model allows one to describe the fundamentals of the process of interaction of neural ensembles during memorizing and retrieving vitally important information. Keywords: mathematical model, neuronet, operation of a living neuronet, neurophysiology, mathematics, neurophysics, cause for mental and hereditary brain diseases, memorization mechanism, memorization of information in the brain, taking into account a bound on the rate of information transmission between neurons. INTRODUCTION As is well known, to understand the operations (activity) of the central nervous system (CNS), new experimental and theoretical methods using state-of-the-art achievements in the field of neurophysiology, mathematics, physics, and computer engineering are necessary with the help of which principal CNS functions in norm and in pathology are represented. These investigations are also topical for solving important problems of treatment of basic mental, hereditary, and degenerative brain diseases, and the expenditures for their regenerative therapy all over the world are enormous at the present time (only in the USA, they amount to 305 billion dollars a year [1]). K. V. Anokhin, a well-known expert in theoretical and experimental neurophysiology and a corresponding member of the Russian Academy of Sciences, wrote about such complex investigations as follows [2]: “There are the following two key problems of science in which breakthroughs are possible in the next 20 years: the structure of the Universe and biological foundations of consciousness. In the first case, there is a working hypothesis, namely, the Standard Model. In brain investigations, everything is much more complicated.” Note that, according to the Science Magazine (July 1 (2005), p. 309), among the 25 greatest unsolved scientific mysteries, the 15th place is occupied by the following problem: “How are memories stored and retrieved?” Taking into account the urgency of investigations for understanding the CNS activity in norm and in the case of hereditary or acquired diseases, the author of this article together with leading experts of the clinic ATOS (Kyiv) has analyzed the results of past years in the field of diagnostics and treatment of addictive patients (i.e., persons suffering from narcomania, alcoholism and other types of addictions). As a result, in [3], a review of main results of investigations in the field of neurosciences in connection with the treatment of these diseases was presented and 12 topical problems (unsolved at that time and connected with ur
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