ArticleScientific reports2021
How neurons exploit fractal geometry to optimize their network connectivity.
Article in Scientific reports, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 30 papers.
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Who cites it
30 citing papers in PubMed.
- RIFT: A Fractal-Holographic Theory of Consciousness and Autopoietic Control.Brain sciences · 2026Article
- Quantifying Structural Changes in Cultured Neurons Using Fractal Analysis.Neuroinformatics · 2026Article
- Functional Disorder at the Neural Interface: How Disordered Nanostructures Promote Proper Growth and Differentiation in In Vitro Neural Cultures.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026Review
- Self images: an empirical enquiry into Rembrandt's self-portraits.Frontiers in psychiatry · 2026Article
- Buprenorphine and Surface-based Brain Morphometry: Impacts on Cortical Thickness, Depth, and Gyrification in Patients with Opioid Use Disorder.Indian journal of psychological medicine · 2025Article
- Fractal Neural Dynamics and Memory Encoding Through Scale Relativity.Brain sciences · 2025Article
- Fractal analysis of healthy and diseased vasculature in pediatric Moyamoya disease.Interventional neuroradiology : journal of peritherapeutic neuroradiology, surgical procedures and related neurosciences · 2025Article
- Study of prediction model for high-grade meningioma using fractal geometry combined with radiological features.Journal of neuro-oncology · 2025Article
- Combined topological and spatial constraints are required to capture the structure of neural connectomes.Network neuroscience (Cambridge, Mass.) · 2025Article
- Article
- Evolution of Retinal Neuron Fractality When Interfacing with Carbon Nanotube Electrodes.Bioengineering (Basel, Switzerland) · 2024Article
- Myelin Surfactant Assemblies as Dynamic Pathways Guiding the Growth of Electrodeposited Copper Dendrites.Journal of the American Chemical Society · 2024Article
- Review of the Brain's Behaviour after Injury and Disease for Its Application in an Agent-Based Model (ABM).Biomimetics (Basel, Switzerland) · 2024Review
- Article
- Hippocampome.org v2.0: a knowledge base enabling data-driven spiking neural network simulations of rodent hippocampal circuits.bioRxiv : the preprint server for biology · 2024Article
- Morphology and Fractal-Based Classifications of Neurons and Microglia in Two and Three Dimensions.Advances in neurobiology · 2024Review
- Fractal Time Series: Background, Estimation Methods, and Performances.Advances in neurobiology · 2024Review
- Fractal Electronics for Stimulating and Sensing Neural Networks: Enhanced Electrical, Optical, and Cell Interaction Properties.Advances in neurobiology · 2024Article
- Fractal Resonance: Can Fractal Geometry Be Used to Optimize the Connectivity of Neurons to Artificial Implants?Advances in neurobiology · 2024Article
- Network efficiency of spatial systems with fractal morphology: a geometric graphs approach.Scientific reports · 2023Article
Corrections and comments
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Authors and funding
9 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
We investigate the degree to which neurons are fractal, the origin of this fractality, and its impact on functionality. By analyzing three-dimensional images of rat neurons, we show the way their dendrites fork and weave through space is unexpectedly important for generating fractal-like behavior well-described by an 'effective' fractal dimension D. This discovery motivated us to create distorted neuron models by modifying the dendritic patterns, so generating neurons across wide ranges of D extending beyond their natural values. By charting the D-dependent variations in inter-neuron connectivity along with the associated costs, we propose that their D values reflect a network cooperation that optimizes these constraints. We discuss the implications for healthy and pathological neurons, and for connecting neurons to medical implants. Our automated approach also facilitates insights relating form and function, applicable to individual neurons and their networks, providing a crucial tool for addressing massive data collection projects (e.g. connectomes).
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.