Table 1.
Means and SD of characteristic angles (degrees) and flatness measures of 3D bifurcations in a data set of random bifurcations (obtained by simulating 1000000 bifurcations), in rat cortical pyramidal cell basal dendrites (no. of bifurcations 1242), and in apical main stems (no. of bifurcations 372).
Angles and flatness measures of 3D bifurcations | Random bifurcations |
3D bifurcations in rat cortical pyramidal dendrites |
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N = 1000000 |
Basal dendrites, N = 1242 |
Apical dendrites, N = 372 |
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Mean | SD | Median | Mean | SD | Median | SEM | Mean | SD | Median | SEM | |
Bifurcation angle ρ | 90 | 39.2 | 90 | 53.4 | 27.7 | 49.3 | 0.79 | 64.9 | 26.6 | 60.7 | 1.38 |
Bifurcation angle σ | 90 | 39.2 | 90 | 138 | 38.7 | 152.4 | 1.1 | 168.8 | 7.7 | 170.7 | 0.4 |
Bifurcation angle τ | 90 | 39.2 | 90 | 122.5 | 39.2 | 131.5 | 1.1 | 119.4 | 26.2 | 123.2 | 1.4 |
Angle sum | 270 | 67.8 | 281 | 313.9 | 68 | 346.6 | 1.9 | 353.2 | 9 | 357.5 | 0.5 |
Cone angle α | 133.7 | 32.8 | 139.4 | 159.4 | 28.2 | 170.2 | 0.8 | 174.4 | 4.4 | 175.2 | 0.2 |
Solid angle cone ΩC | 225 | 87.7 | 235 | 299.4 | 75.3 | 329.3 | 2.1 | 342.5 | 13.6 | 344.9 | 0.7 |
Solid angle pyramid ΩP | 90 | 90 | 56.4 | 161.2 | 119 | 170.4 | 3.4 | 222.5 | 104.2 | 262.9 | 5.4 |
Parent stretch angle η | 90 | 39.2 | 90 | 137 | 39.3 | 151.6 | 1.1 | 150.9 | 14.2 | 153.2 | 0.7 |
Parent azimuth angle φ | 180 | 103 | 180 | 166 | 56.9 | 166.6 | 1.6 | 152.3 | 15.4 | 153.7 | 0.8 |
Parent elevation angle θ | 32.7 | 21.6 | 30 | 13.1 | 12.8 | 9 | 0.4 | 5.5 | 4.7 | 4.7 | 0.24 |
Parent fold angle κ | 90 | 61.2 | 90 | 146.7 | 53.5 | 170 | 1.5 | 174.5 | 4.7 | 175.4 | 0.24 |
Dihedral angle λ | 90 | 52 | 90 | 83.4 | 56.5 | 89.9 | 1.6 | 101.6 | 55.9 | 127.8 | 2.9 |
Dihedral angle β | 90 | 52 | 90 | 146.3 | 49.6 | 168.8 | 1.4 | 173.4 | 6.6 | 174.7 | 0.34 |
Volume pyramid | 0.065 | 0.043 | 0.06 | 0.026 | 0.025 | 0.018 | 0.001 | 0.013 | 0.01 | 0.011 | 0.001 |
The angles are expressed in degrees.