A scaling law derived from optimal dendritic wiring

Cuntz, Hermann; Mathy, Alexandre; Häusser, Michael

doi:10.1073/pnas.1200430109

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A scaling law derived from optimal dendritic wiring

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Cuntz, Hermann
Ernst Strüngmann Institute (ESI) for Neuroscience in Cooperation with Max Planck Society, Max Planck Society;
Cuntz Lab, Ernst Strüngmann Institute (ESI) for Neuroscience in Cooperation with Max Planck Society, Max Planck Society;

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https://www.pnas.org/doi/full/10.1073/pnas.1200430109
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Citation

Cuntz, H., Mathy, A., & Häusser, M. (2012). A scaling law derived from optimal dendritic wiring. Proceedings of the National Academy of Sciences, 109(27), 11014-11018. doi:10.1073/pnas.1200430109.

Cite as: https://hdl.handle.net/21.11116/0000-000B-2366-B

Abstract

The wide diversity of dendritic trees is one of the most striking features of neural circuits. Here we develop a general quantitative theory relating the total length of dendritic wiring to the number of branch points and synapses. We show that optimal wiring predicts a 2/3 power law between these measures. We demonstrate that the theory is consistent with data from a wide variety of neurons across many different species and helps define the computational compartments in dendritic trees. Our results imply fundamentally distinct design principles for dendritic arbors compared with vascular, bronchial, and botanical trees.