James Ross
Brain-wave equation incorporating axodendritic connectivity
Ross, James; Margetts, Michelle; Bojak, Ingo; Nicks, Rachel; Avitabile, Daniele; Coombes, Stephen
Authors
Michelle Margetts
Ingo Bojak
RACHEL NICKS Rachel.Nicks@nottingham.ac.uk
Assistant Professor
Daniele Avitabile
Professor STEPHEN COOMBES stephen.coombes@nottingham.ac.uk
Professor of Applied Mathematics
Abstract
©2020 American Physical Society. We introduce an integral model of a two-dimensional neural field that includes a third dimension representing space along a dendritic tree that can incorporate realistic patterns of axodendritic connectivity. For natural choices of this connectivity we show how to construct an equivalent brain-wave partial differential equation that allows for efficient numerical simulation of the model. This is used to highlight the effects that passive dendritic properties can have on the speed and shape of large scale traveling cortical waves.
Citation
Ross, J., Margetts, M., Bojak, I., Nicks, R., Avitabile, D., & Coombes, S. (2020). Brain-wave equation incorporating axodendritic connectivity. Physical Review E, 101(2), https://doi.org/10.1103/PhysRevE.101.022411
Journal Article Type | Article |
---|---|
Acceptance Date | Jan 28, 2020 |
Online Publication Date | Feb 18, 2020 |
Publication Date | 2020-02 |
Deposit Date | Feb 20, 2020 |
Journal | Physical Review E |
Print ISSN | 2470-0045 |
Electronic ISSN | 2470-0053 |
Publisher | American Physical Society |
Peer Reviewed | Peer Reviewed |
Volume | 101 |
Issue | 2 |
Article Number | 022411 |
DOI | https://doi.org/10.1103/PhysRevE.101.022411 |
Public URL | https://nottingham-repository.worktribe.com/output/4001772 |
Publisher URL | https://journals.aps.org/pre/abstract/10.1103/PhysRevE.101.022411 |
Additional Information | ©2020 American Physical Society. |
Files
PhysRevE.101.022411
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