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Simplified model of the frequency dependence of the LFP’s spatial reach
BMC Neuroscience volume 13, Article number: P144 (2012)
One of the fundamental questions regarding the local field potential (LFP), the low-frequency part of the extracellularly recorded electric potential, is how far the signal propagates in the brain . We have previously shown  that the low-pass filtering in dendrites  leads to a frequency dependent spatial spread of the LFP. These previous results were obtained by simulating a large population of morphologically reconstructed neurons. The cells were placed homogeneously within a disc of radius R = 1mm (Figure 1A). We defined the reach of the LFP as a radius r < R such that the cells located beyond that radius contributed no more than 5% of the total amplitude at the center of the population. We showed that the reach depends, among other factors, on the input correlation and the frequency.
Here we employ a simplified model of the population to identify the two main effects behin the frequency dependence of the reach: 1) frequency dependence of the ‘transition distance’, that is, the distance beyond which a single cell can be approximated as a dipole, 2) frequency dependence of the mean pairwise correlation of the single neuron contributions to the LFP. The simplified model is in agreement with the full simulation results if both effects are taken into account (Figure 1B), while neither of the factors alone is sufficient.
Lindén H, Tetzlaff T, Potjans TC, Pettersen KH, Grün S, Diesmann M, Einevoll GT: Modeling the Spatial Range of the LFP. Neuron. 2011, 72: 859-872. 10.1016/j.neuron.2011.11.006.
Łęski S, Lindén H, Tetzlaff T, Pettersen KH, Einevoll GT: Spatial reach of the local field potential is frequency dependent. BMC Neuroscience. 2011, 12: P88-10.1186/1471-2202-12-S1-P88.
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. 10.1007/s10827-010-0245-4.
We acknowledge financial support from The Research Council of Norway (eVita, Yggdrasil) and the Polish Ministry of Science and Higher Education (grant N N303 542839).