Figure 6 | Scientific Reports

Figure 6

From: Statistical physics approach to quantifying differences in myelinated nerve fibers

Figure 6

Effective local density calculation.

(a) and (b) Illustrations of samples with equal densities (ρ = 0.50) but different effective local densities. The sample in figure (a) has an effective local density value of 0.49, similar to its density value, while the sample in figure (b) has a higher effective local density value of 0.55, resulting from the axons (in red) being closer together due to the presence of a large axon-free region (in grey). (c) Plot of the average n-th nearest neighbor distance as a function of the rank n for the two samples highlighted in figures (a) and (b). The full lines are the log-log linear regressions for the points n ≥ 8 (see inset figure for a zoomed plot), extrapolated (dashed lines) to n = 1 and with corresponding equations in the matching colored boxes. The effective local density is calculated from the linear regression according to Eq. 2.

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