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Brain-wave equation incorporating axodendritic connectivity

Ross, James; Margetts, Michelle; Bojak, Ingo; Nicks, Rachel; Avitabile, Daniele; Coombes, Stephen

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James Ross

Michelle Margetts

Ingo Bojak

Daniele Avitabile


©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.


Ross, J., Margetts, M., Bojak, I., Nicks, R., Avitabile, D., & Coombes, S. (2020). Brain-wave equation incorporating axodendritic connectivity. Physical Review E, 101(2),

Journal Article Type Article
Acceptance Date Jan 28, 2020
Online Publication Date Feb 18, 2020
Publication Date 2020-02
Deposit Date Feb 20, 2020
Publicly Available Date Feb 25, 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
Public URL
Publisher URL
Additional Information ©2020 American Physical Society.


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