ABSTRACT

As a model, the neural topology includes a huge collection of almost identical interconnected cells, each of which is characterized by a short-term internal state of biochemical activity. Considering the presence of intraneural disturbances in a Hopfield network the corresponding system can be modeled in terms of wave functional parnmeters. The neural activity has been essentially regarded as a deterministic process with a traditional approach to neurodynamics based on dynamic system theory governed by a set of differential equations. The dynamic state of neurons can be described by a set of extensive quantities vis-a-vis momentum flow analogously equitable to a to quasiparticle dynamics model of the neuronal transmission, with appropriate Hamiltonian perspectives. The statistical mechanics attributions of the neuronal activity could warrant flow considerations analogous to particle dynamics of disorder systems. Considering the wave functional aspects of neuronal transmission, the corresponding eigen-energies can be specified.