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This article is part of the supplement: Twentieth Annual Computational Neuroscience Meeting: CNS*2011

Open Access Poster presentation

Spatial reach of the local field potential is frequency dependent

Szymon Łęski12*, Henrik Lindén2, Tom Tetzlaff2, Klas H Pettersen2 and Gaute T Einevoll2

Author Affiliations

1 Department of Neurophysiology, Nencki Institute of Experimental Biology, Warsaw, 02-093, Poland

2 Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, Ås, 1432, Norway

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BMC Neuroscience 2011, 12(Suppl 1):P88  doi:10.1186/1471-2202-12-S1-P88

The electronic version of this article is the complete one and can be found online at: http://www.biomedcentral.com/1471-2202/12/S1/P88


Published:18 July 2011

© 2011 Lindén et al; licensee BioMed Central Ltd.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Poster presentation

The local field potential (LFP), the low-frequency part of the extracellularly recorded electric potential, is a signal commonly used to study the activity of neural populations. However, it is not clear how local the ‘local’ field potential in fact is, i.e., how large the populations are which contribute to the signal at a given point [1]. The spatial range of LFP will naturally depend on the spatial range of correlations in the neuronal dynamics, which may be different in different frequency bands. However, we expect that also the inherent low-pass filtering in the neuronal cables, which stems from the properties of the cable equation [2], will contribute to the frequency dependence of the spatial range of the LFP.

To investigate how dendritic filtering affects the spatial range of different frequency components of the LFP we simulated a population of morphologically reconstructed neurons homogeneously distributed within a disc of radius R = 1mm (Figure 1A). The cells were driven by noise input of varying degree of correlation. We calculated the LFP at the center of the disc. We defined the reach of the LFP as radius r <R such that the cells located closer than r account for 95% of the power of the LFP. We found that for some combinations of neuron morphology, stimulation pattern, and degree of correlation, the reach of the high-frequency (> 100 Hz) components can be even four times smaller than the reach of the low-frequency (< 50 Hz) components (Figure 1B).

thumbnailFigure 1. A. Model setup, r (reach) and R defined in text. B. The reach r as a function of LFP frequency for a population of layer 5 pyramidal neurons stimulated basally. The input correlation is 10% (each pair of neurons shares on average 10% of synaptic currents), LFP measured at the soma level.

The explanation of the effect is the following: consider a neuron stimulated with a sinusoidal input current (frequency f) at one point in the dendritic tree. The distribution of the return currents depends on f, with typically more local return currents for large f, see [3]. Therefore the ‘critical distance’, where the dipole approximation of the LFP becomes valid, decreases with f. We derived a simplified population model that accounts for the frequency dependence of the ‘critical distance’. The model can be studied analytically and explains the frequency dependence of the LFP reach for both uncorrelated and correlated synaptic input.

Acknowledgements

We acknowledge financial support from The Research Council of Norway (eVita, Yggdrasil) and Scholarship and Training Fund (EEA/Norway grants).

References

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    BMC Neuroscience 2009, 10:P224. BioMed Central Full Text OpenURL

  2. Pettersen KH, Einevoll GT: Amplitude Variability and Extracellular Low-Pass Filtering of Neuronal Spikes.

    Biophys J 2008, 94:784-802. PubMed Abstract | Publisher Full Text | PubMed Central Full Text OpenURL

  3. Lindén H, Pettersen KH, Einevoll GT: Intrinsic dendritic filtering gives low-pass power spectra of local field potentials.

    J Comput Neurosci 2010, 29:423-444. PubMed Abstract | Publisher Full Text OpenURL