Abstract
We present a microscopic approach for the coupling of cortical activity, as resulting from proper dipole currents of pyramidal neurons, to the electromagnetic field in extracellular fluid in presence of diffusion and Ohmic conduction. Starting from a full-fledged three-compartment model of a single pyramidal neuron, including shunting and dendritic propagation, we derive an observation model for dendritic dipole currents in extracellular space and thereby for the dendritic field potential that contributes to the local field potential of a neural population. Under reasonable simplifications, we then derive a leaky integrate-and-fire model for the dynamics of a neural network, which facilitates comparison with existing neural network and observation models. In particular, we compare our results with a related model by means of numerical simulations. Performing a continuum limit, neural activity becomes represented by a neural field equation, while an observation model for electric field potentials is obtained from the interaction of cortical dipole currents with charge density in non-resistive extracellular space as described by the Nernst-Planck equation. Our work consistently satisfies the widespread dipole assumption discussed in the neuroscientific literature.
Publication Date
2013-10-07
Publication Title
ArXiv
Publisher
Springer Berlin Heidelberg
Embargo Period
2024-11-22
Additional Links
http://arxiv.org/abs/1310.1801v1
Keywords
q-bio.NC, q-bio.NC
Recommended Citation
Graben, P., & Rodrigues, S. (2013) 'On the electrodynamics of neural networks', ArXiv, . Springer Berlin Heidelberg: Retrieved from https://pearl.plymouth.ac.uk/secam-research/1827
Comments
31 pages; 3 figures; to appear in "Neural Fields: Theory and Applications", edited by S. Coombes, P. beim Graben, R. Potthast, and J. J. Wright; Springer Verlag Berlin (2014)