ArticleProceedings of the National Academy of Sciences of the United States of America2021
The narrowing of dendrite branches across nodes follows a well-defined scaling law.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 16 papers.
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Who cites it
16 citing papers in PubMed.
- Tracking the morphological evolution of neuronal dendrites by first-passage analysis.Biophysical journal · 2026Article
- How do signals propagate in neuronal compartments? Insights from the Poisson-Nernst Planck model.Frontiers in cellular neuroscience · 2026Article
- Information flow drives localized morphological differences across neuronal and glial cell types.Frontiers in computational neuroscience · 2026Article
- Article
- A biologically inspired repair mechanism for neuronal reconstructions with a focus on human dendrites.PLoS computational biology · 2024Article
- Spatial patterning of energy metabolism during tissue morphogenesis.Current opinion in cell biology · 2023Review
- Topology recapitulates morphogenesis of neuronal dendrites.Cell reports · 2023Article
- Neuronal branching is increasingly asymmetric near synapses, potentially enabling plasticity while minimizing energy dissipation and conduction time.Journal of the Royal Society, Interface · 2023Article
- Simulations of cortical networks using spatially extended conductance-based neuronal models.The Journal of physiology · 2023Review
- Brain-wide dendrites in a near-optimal performance of dynamic range and information transmission.Scientific reports · 2023Article
- How axon and dendrite branching are guided by time, energy, and spatial constraints.Scientific reports · 2022Article
- Dynamic instability of dendrite tips generates the highly branched morphologies of sensory neurons.Science advances · 2022Article
- Counting fluorescently labeled proteins in tissues in the spinning-disk microscope using single-molecule calibrations.Molecular biology of the cell · 2022Article
- Theory of branching morphogenesis by local interactions and global guidance.Nature communications · 2021Article
- Focal laser stimulation of fly nociceptors activates distinct axonal and dendritic CaBiophysical journal · 2021Article
- Article
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3 authors.
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Abstract
The systematic variation of diameters in branched networks has tantalized biologists since the discovery of da Vinci's rule for trees. Da Vinci's rule can be formulated as a power law with exponent two: The square of the mother branch's diameter is equal to the sum of the squares of those of the daughters. Power laws, with different exponents, have been proposed for branching in circulatory systems (Murray's law with exponent 3) and in neurons (Rall's law with exponent 3/2). The laws have been derived theoretically, based on optimality arguments, but, for the most part, have not been tested rigorously. Using superresolution methods to measure the diameters of dendrites in highly branched
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