Brain-wave equation incorporating axodendritic connectivity

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

Research output: Contribution to JournalArticleAcademicpeer-review


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.

Original languageEnglish
Article number022411
Pages (from-to)1-9
Number of pages9
JournalPhysical Review E
Issue number2
Publication statusPublished - 18 Feb 2020


Cite this

Ross, J., Margetts, M., Bojak, I., Nicks, R., Avitabile, D., & Coombes, S. (2020). Brain-wave equation incorporating axodendritic connectivity. Physical Review E, 101(2), 1-9. [022411].