ArticlePloS one2013
An optimum principle predicts the distribution of axon diameters in normal white matter.
Article in PloS one, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. An erratum has been issued. Cited by 13 papers.
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Who cites it
13 citing papers in PubMed.
- Quantifying axonal features of human superficial white matter from three-dimensional multibeam serial electron microscopy data assisted by deep learning.NeuroImage · 2025Article
- Juvenile exposure to acute traumatic stress leads to long-lasting alterations in grey matter myelination in adult female but not male rats.Neurobiology of stress · 2021Article
- The sensitivity of diffusion MRI to microstructural properties and experimental factors.Journal of neuroscience methods · 2021Review
- Treadmilling Model for Plasticity of the Myelin Sheath.Trends in neurosciences · 2019Article
- AxonPacking: An Open-Source Software to Simulate Arrangements of Axons in White Matter.Frontiers in neuroinformatics · 2017Article
- Article
- Parametric Probability Distribution Functions for Axon Diameters of Corpus Callosum.Frontiers in neuroanatomy · 2016Article
- Brain tissue compartment density estimated using diffusion-weighted MRI yields tissue parameters consistent with histology.Human brain mapping · 2015Article
- In vivo mapping of human spinal cord microstructure at 300mT/m.NeuroImage · 2015Article
- Article
- Article
- Joint radius-length distribution as a measure of anisotropic pore eccentricity: an experimental and analytical framework.The Journal of chemical physics · 2014Article
- Mapping average axon diameters in porcine spinal cord white matter and rat corpus callosum using d-PFG MRI.NeuroImage · 2013Article
Corrections and comments
- Erratum issued
Authors and funding
2 authors.
Funding
Abstract
Many important functional properties affecting nerve conduction are influenced by axon diameter. It is also known that the axon diameter distribution (ADD) in normal nerve fascicles is heterogeneous and skewed. A recent attempt to model and explain the parametric form of these distributions was based on biomechanical principles. Here we explore a neurophysiologically-based hypothesis that the observed ADD can be obtained by optimizing the information flow through a fascicle subject to reasonable anatomical and metabolic constraints. Specifically, we use a variational framework to find an optimal distribution based on the fascicle's channel capacity and informative upper bound (IUB), subject to constraints of fixed available fascicle cross-sectional area and fixed number of axons, to derive two novel probability density functions, which we then compare to other previously used distributions. We show, using experimental histological data, that the distributions based on this optimum principle outperform other distributions. Moreover, the new distribution that optimizes the IUB is extremely robust in fitting ADD data obtained histologically, making it well-suited for use in MRI techniques to measure ADDs in vivo, e.g., AxCaliber MRI.
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Registered trials
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.