Professor STEPHEN COOMBES STEPHEN.COOMBES@NOTTINGHAM.AC.UK
Professor of Applied Mathematics
Professor STEPHEN COOMBES STEPHEN.COOMBES@NOTTINGHAM.AC.UK
Professor of Applied Mathematics
Christian Dogbe
Editor
The tools of dynamical systems theory are having an increasing impact on our understanding of patterns of neural activity. In this talk I will describe how to build tractable tissue level models that maintain a strong link with biophysical reality. These models typically take the form of nonlinear integro-differential equations. Their non-local nature has led to the development of a set of analytical and numerical tools for the study of waves, bumps and patterns, based around natural extensions of those used for local differential equation models. Here I will present an overview of these techniques. Time permitting I will also present recent results on next generation neural field models obtained via a mean field reduction from networks of nonlinear integrate-and-fire neurons.
Coombes, S. (2015). Mathematical neuroscience: from neurons to networks. In C. Dogbe (Ed.), Actes du colloque "EDP-Normandie" : Le Havre 2015. Fédération Normandie Mathématiques
Publication Date | Dec 1, 2015 |
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Deposit Date | Mar 7, 2016 |
Peer Reviewed | Peer Reviewed |
Book Title | Actes du colloque "EDP-Normandie" : Le Havre 2015 |
ISBN | 9782954122137 |
Keywords | Neural field models, Turing instability, Interface dynamics |
Public URL | https://nottingham-repository.worktribe.com/output/764833 |
Related Public URLs | http://edp-normandie3.sciencesconf.org |
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