Mathematical modelling of the cortex

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Abstract

Earlier work on the modelling of the electrical and chemical potentials at the internal surface of a neural membrane is extended to the extracellular environment. Calculations are made showing that variations in the concentration of potassium are most significant in the propagation of potentials in the extracellular fluid, and have a maximum amplitude in a frequency range near to 10 Hz. It is suggested that this resonance is responsible for the alpha-rhythm which is observed experimentally in the cortex, and that it may provide a means of communication between neurons apart from normal synaptic transmission. A role for the glial cells in the transmission of potentials in the cortex is also indicated. A method is developed for the statistical description of the extracellular environment, as a first step towards the realistic modelling of the extracellular field. © 1984.

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Triffet, T., & Green, H. S. (1984). Mathematical modelling of the cortex. Mathematical Modelling, 5(6), 383–399. https://doi.org/10.1016/0270-0255(84)90024-1

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