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One Rule to Grow Them All: A General Theory of Neuronal Branching and Its Practical Application

Figure 4

Generating dendritic structures by constructing geometric spanning fields: II. the hippocampal dentate gyrus granule cell.

(A) Reconstructions of four sample hippocampal granule cells (data from [28]). (B) After centring, rotating and scaling all cells adequately, the 50 µm iso-distance volume hulls (black lines) around the set of all topological points (black dots) overlap in all dimensions. Left, xy-projection; Middle, xz-projection; Right; yz-projection. Overlay colours represent local density with same colormap as in Figure 3. (C) Examples of synthetically generated granule cells (based on the data in AB) with bf = 0.85. (D) Third cell from the left in C was grown on the same carrier points with different balancing factors to show the effect of bf here. (E–G) Overlaid branch order distributions, path length distributions and Sholl intersections for original trees (red) and for synthetic trees with suitable parameter bf = 0.85 (black).

Figure 4