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4 - Volume-Conductor Theory

Published online by Cambridge University Press:  30 May 2024

Geir Halnes
Affiliation:
Norwegian University of Life Sciences
Torbjørn V. Ness
Affiliation:
Norwegian University of Life Sciences
Solveig Næss
Affiliation:
Universitetet i Oslo
Espen Hagen
Affiliation:
Universitetet i Oslo
Klas H. Pettersen
Affiliation:
The Norwegian Artificial Intelligence Research Consortium
Gaute T. Einevoll
Affiliation:
Norwegian University of Life Sciences
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Summary

The standard two-step scheme for modeling extracellular signals is to first compute the neural membrane currents using multicompartment neuron models (step 1) and next use volume-conductor theory to compute the extracellular potential resulting from these membrane currents (step 2). Here, we present the volume-conductor theory used in step 2. The neural output from step 1 can be represented in terms of (i) a set of point sources, (ii) a set of line sources, (iii) a current-source density, or (iv) one or several current dipoles. We derive equations for the extracellular potential under the approximations (i–iv), discuss the validity and applicability of the different approximations, and explain how they are related. We also discuss how to model the effects that the electrode itself can have on the measured extracellular potential.

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Chapter
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Electric Brain Signals
Foundations and Applications of Biophysical Modeling
, pp. 79 - 104
Publisher: Cambridge University Press
Print publication year: 2024

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