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Sampling effects and measurement overlap can bias the inference of neuronal avalanches

Fig 5

Under coarse-sampling, apparent dynamics depend on the inter-electrode distance dE.

A: For small distances (dE = 100 μm), the avalanche-size distribution p(S) indicates (apparent) supercritical dynamics: p(S) ∼ Sα with a sharp peak near the electrode number NE = 64. For large distances (dE = 500 μm), p(S) indicates subcritical dynamics: p(S) ∼ Sα with a pronounced decay already for S < NE. There exists a sweet-spot value (dE = 250 μm) for which p(S) indicates critical dynamics: p(S) ∼ Sα until the the cut-off is reached at S = NE. The particular sweet-spot value of dE depends on time-bin size (here, Δt = 4 ms). As a guide to the eye, dashed lines indicate S−1.5. B: The inferred branching parameter is also biased by dE when estimated from neuronal avalanches. Apparent criticality (, dotted line) is obtained with dE = 250 μm and Δt = 4 ms but also with dE = 400 μm and Δt = 8 ms. B, Inset: representation of the measurement overlap between neighboring electrodes; when electrodes are placed close to each other, spurious correlations are introduced.

Fig 5

doi: https://doi.org/10.1371/journal.pcbi.1010678.g005