Brain-wave equation incorporating axodendritic connectivity

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

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), Article 022411. 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
• 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
• 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.