larter-breakspear-bifurcation

This is the repository to accompany the paper Chesebro, AG, Mujica-Parodi, LR, Weistuch, C. Ion Gradient-driven Bifurcations of a Multi-Scale Neuronal Model.

To duplicate the analyses and accompanying Figures 2b, 3b, 4b, and 5a-c, run the file "main_for_github.m". This is broken down into sections should you want to focus on a specific result.

To duplicate the analyses and accompanying Figures 2a, 3a, and 4a, follow the instructions in "running_matcont_larter_breakspear_bifurcations.md". This will require downloading the additional MatCont package: https://sourceforge.net/projects/matcont/. For more details on how MatCont works, see "New features of the software MatCont for bifurcation analysis of dynamical systems." A. Dhooge, and W. Govaerts, Yu.A. Kuznetsov, H.G.E. Meijer and B. Sautois, MCMDS 2008, Vol. 14, No. 2, pp 147-175.