Optimal Sizes of Dendritic and Axonal Arbors

Abstract

I consider a topographic projection between two neuronal layers with dif(cid:173) ferent densities of neurons. Given the number of output neurons con(cid:173) nected to each input neuron (divergence or fan-out) and the number of input neurons synapsing on each output neuron (convergence or fan-in) I determine the widths of axonal and dendritic arbors which minimize the total volume ofaxons and dendrites. My analytical results can be sum(cid:173) marized qualitatively in the following rule: neurons of the sparser layer should have arbors wider than those of the denser layer. This agrees with the anatomical data from retinal and cerebellar neurons whose morphol(cid:173) ogy and connectivity are known. The rule may be used to infer connec(cid:173) tivity of neurons from their morphology.

Cite

Text

Chklovskii. "Optimal Sizes of Dendritic and Axonal Arbors." Neural Information Processing Systems, 1999.

Markdown

[Chklovskii. "Optimal Sizes of Dendritic and Axonal Arbors." Neural Information Processing Systems, 1999.](https://mlanthology.org/neurips/1999/chklovskii1999neurips-optimal/)

BibTeX

@inproceedings{chklovskii1999neurips-optimal,
  title     = {{Optimal Sizes of Dendritic and Axonal Arbors}},
  author    = {Chklovskii, Dmitri B.},
  booktitle = {Neural Information Processing Systems},
  year      = {1999},
  pages     = {108-114},
  url       = {https://mlanthology.org/neurips/1999/chklovskii1999neurips-optimal/}
}