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Synapse efficiency diverges due to synaptic pruning following over-growth MIMURA, Kazushi ミムラ, カズシ KIMOTO, Tomoyuki キモト, トモユキ OKADA, Masato オカダ, マサト 三村, 和史 木本, 智幸 岡田, 真人 application/pdf In the development of the brain, it is known that synapses are pruned following overgrowth. This pruning following overgrowth seems to be a universal phenomenon that occurs in almost all areas—visual cortex, motor area, association area, and so on. It has been shown numerically that the synapse efficiency is increased by systematic deletion. We discuss the synapse efficiency to evaluate the effect of pruning following overgrowth, and analytically show that the synapse efficiency diverges as O(uln cu) at the limit where connecting rate c is extremely small. Under a fixed synapse number criterion, the optimal connecting rate, which maximizes memory performance, exists. journal article American Physical Society 2003-09 VoR application/pdf Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 3 68 031910-1 031910-15 AA11558033 1539-3755 https://hiroshima-cu.repo.nii.ac.jp/record/1319/files/Mimura.K_PRE_68_031910_2003.pdf https://hiroshima-cu.repo.nii.ac.jp/records/1319 eng © 2008 The American Physical Society