Coupling coefficients are derived for the transfer of energy from an electromagnetic wave propagating in the extracellular fluid of a cortex layer, using an ion dynamical model developed earlier (Green & Triffet, 1985). With the assistance of a simple computational algorithm, these are used to document the performance of a basic neural circuit (Eccles,… (More)
A physically based theory of ionic currents associated with nervous activity is extended to provide a model of electrical activity in the cortex and its immediate neighbourhood. It is shown that the most significant variations of potential in the extracellular fluid are associated with fluctuations in density of calcium and potassium ions. Nervous activity… (More)
We establish reflection positivity for Gibbs trace states for a class of gauge-invariant, reflection-invariant Hamiltonians describing parafermion interactions on a lattice. We relate these results to recent work in the condensed-matter physics literature.
A model of cortical functions is developed with the object of simulating the observed behavior of individual neurons organized in unit circuits and functional systems of the cerebellum, the cerebrum and the hippocampal formation. The neuronal model is capable of representing refractory and potentiated states, as well as the firing and lowest resting states.… (More)
Because certain primitive behavioral responses in the large sea snail Aplysia have recently been linked to neurophysiological events at a synaptic level, special interest attaches to the role played by calcium ions at such synapses. Using an extended version of the model applied earlier to trace the flow of energy and information through a ganglion of the… (More)