Fractional cable models for spiny neuronal dendrites
Article
Article Title | Fractional cable models for spiny neuronal dendrites |
---|---|
ERA Journal ID | 1019 |
Article Category | Article |
Authors | Henry, B. I. (Author), Langlands, Trevor (Author) and Wearne, S. L. (Author) |
Journal Title | Physical Review Letters |
Journal Citation | 100 (12), pp. 1-4 |
Number of Pages | 4 |
Year | 2008 |
Place of Publication | United States |
ISSN | 0031-9007 |
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. |
Keywords | anomalous subdiffusion, fractional cable model, spiny dendrites |
Contains Sensitive Content | Does not contain sensitive content |
ANZSRC Field of Research 2020 | 490510. Stochastic analysis and modelling |
490410. Partial differential equations | |
490102. Biological mathematics | |
Public Notes | File reproduced in accordance with the copyright policy of the publisher/author. |
Byline Affiliations | University of New South Wales |
Icahn School of Medicine at Mount Sinai, United States |
https://research.usq.edu.au/item/9z196/fractional-cable-models-for-spiny-neuronal-dendrites
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