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. Author manuscript; available in PMC: 2013 Apr 17.
Published in final edited form as: J Neurosci. 2012 Oct 17;32(42):14670–14684. doi: 10.1523/JNEUROSCI.2018-12.2012

Figure 5.

Figure 5

Operational definition and analysis of branch types. A. Representative examples of the three bifurcation types in primary stalks: splitting into two primary daughters (PPP), into one primary and one non-primary (PPN), and into two non-primary daughters (PNN). B. Optimal linear separators for bifurcation types (sample sizes: PPN, 763; PPP, 88; PNN, 155). Functions defining separators were as follows, where DVR is the daughter volume ratio, VP is the volumetric proportion, the ∩ symbol indicates AND Boolean logic, and y is the classification for bifurcation i: yi= [(PPP = (VPi > 0.31) ∩ (VPi > −2.01 × DVRi + 1.33); PNN = (VPi < 0.31) ∩ (VPi < −2.01 × DVRi + 1.33); PPN = (DVRi < 0.51) ∩ (−0.65 × DVRi − 0.02 < VPi < −2.01 × DVRi + 1.3)]. C. Log-log frequency distributions of terminal degree (number of terminations) of non-primary subtrees stemming from PPN (red) and PNN (green) bifurcations. Arrows point to means ± standard deviations. D. All branch types differ in polarity relative to the vector from the CF origin to the primary tree center of mass (Y axis), whereas values of 1, 0, and −1 would respectively indicate directions parallel, orthogonal, and anti-parallel to the primary vector. The width of each wedge indicates standard deviation. R: retrograde; P: primary; T: tendril; D: distal. E. Relative branch type contributions to CF size. Error bars are standard deviations (N=68). F. Tendril and retrograde branches combined and distal branches largely underlie CF bimodality (cf. Fig. 3C). The branch type length distributions across path distance are compared to the two modes extracted from the whole trees (gray lines).