Neural field theory of evoked response potentials in a spherical brain geometry

K. N. Mukta, Xiao Gao, and P. A. Robinson
Phys. Rev. E 99, 062304 – Published 12 June 2019

Abstract

Evoked response potentials (ERPs) are calculated in spherical and planar geometries using neural field theory of the corticothalamic system. The ERP is modeled as an impulse response and the resulting modal effects of spherical corticothalamic dynamics are explored, showing that results for spherical and planar geometries converge in the limit of large brain size. Cortical modal effects can lead to a double-peak structure in the ERP time series. It is found that the main difference between infinite planar geometry and spherical geometry is that the ERP peak is sharper and stronger in the spherical geometry. It is also found that the magnitude of the response decreases with increasing spatial width of the stimulus at the cortex. The peak is slightly delayed at large angles from the stimulus point, corresponding to group velocities of 6–10 m s1. Strong modal effects are found in the spherical geometry, with the lowest few modes sufficing to describe the main features of ERPs, except very near to spatially narrow stimuli.

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  • Received 3 December 2018

DOI:https://doi.org/10.1103/PhysRevE.99.062304

©2019 American Physical Society

Physics Subject Headings (PhySH)

Physics of Living SystemsInterdisciplinary Physics

Authors & Affiliations

K. N. Mukta*, Xiao Gao, and P. A. Robinson

  • School of Physics, University of Sydney, New South Wales 2006, Australia and Center for Integrative Brain Function, University of Sydney, New South Wales 2006, Australia

  • *Corresponding author: muktaphy@gmail.com

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Vol. 99, Iss. 6 — June 2019

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