A hypothetical free synaptic energy function and related states of synchrony

  • Authors:
  • Karim El-Laithy;Martin Bogdan

  • Affiliations:
  • Faculty of Mathematics and Computer Science, Dept. of Computer Engineering, Universität Leipzig, Germany;Faculty of Mathematics and Computer Science, Dept. of Computer Engineering, Universität Leipzig, Germany

  • Venue:
  • ICANN'11 Proceedings of the 21st international conference on Artificial neural networks - Volume Part II
  • Year:
  • 2011

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Abstract

A simple hypothetical energy function is proposed for a dynamic synaptic model. It is an approach based on the theoretical thermodynamic principles that are conceptually similar to the Hopfield ones. We show that using this approach a synapse exposes stable operating points in terms of its excitatory postsynaptic potential (EPSP) as a function of its synaptic strength. We postulate that synapses in a network operating at these stable points can drive this network to an internal state of synchronous firing. The presented analysis is related to the widely investigated temporal coherent activities (cell assemblies) over a certain range of time scales (binding-by-synchrony). The results illustrate that a synaptic dynamical model has more than one stable operating point regarding the postsynaptic energy transfer. This proposes a novel explanation of the observed synchronous activities within networks regarding the synaptic (coupling) functionality.