2026-10-14T05:13:04Z
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oai:figshare.com:article/34049623
2026-10-01T17:51:35Z
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<p>Criticality after development.</p>
Felix Benjamin Kern (17145132)
Takahisa Date (25158079)
Zenas C. Chao (17145135)
Medicine
Neuroscience
Biotechnology
Biological Sciences not elsewhere classified
Developmental Biology
Mental Health
Infectious Diseases
supercritical behavior compared
spike pairs outside
related systems organized
optimal information processing
network &# 8217
stochastic intrinsic activity
resulting network activity
spiking neural networks
operate near criticality
dimensional spiking networks
allow synaptic weights
inhibitory connectivity influences
range inhibitory synapses
development towards criticality
range synapses
synaptic weights
inhibitory connectivity
synaptic delays
inhibitory plasticity
full connectivity
weaker long
systematically constrain
storage capabilities
spatially distributed
spatial organization
spatial constraints
similar number
signal timing
potentiation window
low level
key determinant
dynamical development
development due
critical point
<p><b>(A)</b> Spike raster plots showing the firing patterns of a sample network prototype across the grid of and after 15 hours of development. <b>(B)</b> Frequency of avalanches plotted against their respective size (blue points: evenly spaced binning, red points: 20 log binning) along with the corresponding power-law fit (solid line), illustrating the calculation of , which is the mean error between the observed frequencies and the power-law fit. The three plots correspond to the highlighted raster plots in panel A and summarize the final 5 minutes of activity in each of these networks. Inset: Exponent <i>𝛼</i> and criticality outcome . <b>(C)</b> Distribution of across the grid of and . was calculated in each run of each network from activity between 13 and 15 hours. Boxes show quartiles, with whiskers extending to points within 1.5 times the interquartile range. Boxes are clustered by the (categorical) value of and color-coded by . Each box summarizes 5 runs 10 networks created from a pair of r_inh and . <b>(D)</b> The mean of across all runs in each grid cell in two sample networks. <b>(E)</b> The criticality relation plotted against , with color indicating individual network prototypes. Connected stars: median trace of criticality relation plotted at 20 linearly spaced bin centers with black stars. <b>(F, G)</b> Fano factors plot. <b>F</b>: 𝐹(𝑇) calculated across a range of 1 to 100 ms. 𝐹(𝑇) plotted against bin size 𝑇, showing power-law scaling up to about 30-40 ms. Each line corresponds to a network instantiation, colors are arbitrary. Inset plots normalizing each curve to the minimum (upper left, 1 ms) and maximum (lower right, 99 ms) interval investigated. <b>G</b>: Exponents of the power-law fit across the parameter space (color-coded by in the same style as panel <b>C)</b>, showing a clear progression towards lower exponents with increased inhibitory density and radius.</p>
2026-10-01T18:04:22Z
Image
Figure
10.1371/journal.pcbi.1014798.g004
https://figshare.com/articles/figure/_p_Criticality_after_development_p_/34049623
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