Mirroring the Pyramidal-Neuron Cell Behavior in the Continuous- time Artificial Hopfield Neural Network. What Problems Arise?
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Abstract
This paper provides a mirroring of the voltage dynamics of a biological pyramidal nervous cell in the framework of the continuous-time Hopfield artificial neural network. The initial aim was to identify those elements that can explain the empirically established voltage dynamics of the biological pyramidal nervous cell. We could not achieve this desire because we encountered a major obstacle related to the current dynamics in a circuit where the capacitance is not ideal, as in the lipid bilayer of the membrane of a biological nervous cell. This phenomenon was empirically observed and mathematically described by J. Curie and von Schweidler back in the last century, but was not successfully implemented in the theory of electrical circuits. That is why we stopped at the stage "what problems arise?"
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