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Power Laws from Linear Neuronal Cable Theory: Power Spectral Densities of the Soma Potential, Soma Membrane Current and Single-Neuron Contribution to the EEG

Figure 4

Slopes for the PSD transfer function for the soma current for a ball and stick neuron in terms of its dimensionless parameters.

Row 1 corresponds both to correlated input currents () with any input densities , and to uncorrelated input to soma only (). Row 2 corresponds to the case of uncorrelated input currents solely onto the dendrite. Row 3 corresponds to uncorrelated input currents with equal density, , throughout the neuron. The dimensionless parameter is plotted along the vertical axes, while the dimensionless frequency is plotted logarithmically along the horizontal axes. In the left column the dimensionless length is , in the middle column and the right column . The horizontal white line express the default value of the parameter , (soma diameter , stick diameter , length constant mm), while the vertical white lines correspond to frequencies of 10 Hz, 100 Hz and 1000 Hz, respectively, for the default membrane time constant ms. The thin black line denotes and the thicker black line denotes , with denoting the asymptotic value for the case of both uncorrelated and correlated input onto the whole neuron. All plots use the same color scale for , given by the color bar to the right.

doi: https://doi.org/10.1371/journal.pcbi.1003928.g004