On the Fractal Distribution of Brain Synapses

摘要: Herein we present mathematical ideas for assessing the fractal character of distributions brain synapses. Remarkably, laboratory data are now available in form actual three-dimensional coordinates millions mouse-brain synapses (courtesy Smithlab at Stanford Medical School). We analyze synapse datasets regard to statistical moments and measures. It is found that do not behave as if uniformly random, this observation can be quantified. Accordingly, also find measured dimension each two 2.8 ± 0.05. Moreover, able detect neural layers by generating what call probagrams, paramegrams, fractagrams—these surfaces one whose support axes y-depth (into sample). Even evidently neural-layer dependent.