Fractional cable models for spiny neuronal dendrites

Article

Henry, B. I., Langlands, Trevor and Wearne, S. L.. 2008. "Fractional cable models for spiny neuronal dendrites." Physical Review Letters. 100 (12), pp. 1-4. https://doi.org/10.1103/PhysRevLett.100.128103
Article Title

Fractional cable models for spiny neuronal dendrites

ERA Journal ID1019
Article CategoryArticle
AuthorsHenry, B. I. (Author), Langlands, Trevor (Author) and Wearne, S. L. (Author)
Journal TitlePhysical Review Letters
Journal Citation100 (12), pp. 1-4
Number of Pages4
Year2008
Place of PublicationUnited States
ISSN0031-9007
1079-7114
1092-0145
Digital Object Identifier (DOI)https://doi.org/10.1103/PhysRevLett.100.128103
Web Address (URL)http://link.aps.org/doi/10.1103/PhysRevLett.100.128103
Abstract

Cable equations with fractional order temporal operators are introduced to model electrotonic properties of spiny neuronal dendrites. These equations are derived from Nernst-Planck equations with fractional order operators to model the anomalous subdiffusion that arises from trapping properties of dendritic spines. The fractional cable models predict that postsynaptic potentials propagating along dendrites with larger spine densities can arrive at the soma faster and be sustained at higher levels over longer times. Calibration and validation of the models should provide new insight into the functional implications of altered neuronal spine densities, a hallmark of normal aging and many neurodegenerative disorders.

Keywordsanomalous subdiffusion, fractional cable model, spiny dendrites
Contains Sensitive ContentDoes not contain sensitive content
ANZSRC Field of Research 2020490510. Stochastic analysis and modelling
490410. Partial differential equations
490102. Biological mathematics
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File reproduced in accordance with the copyright policy of the publisher/author.

Byline AffiliationsUniversity of New South Wales
Icahn School of Medicine at Mount Sinai, United States
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