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Multiple-Timescale Systems in Neuroscience
A 10-week graduate course (under construction)
1. The Hodgkin-Huxley model and its reductions- ◔ Basics of ODEs and phase-plane analysis [pdf]
- ◔ Lecture [pdf]
- ◕ Readings [Hodgkin and Huxley (1952)] [Morris and Lecar (1981)] [Rinzel (1985)] [Moehlis (2006)]
- ◔ Lab 1 [ipynb]
- ◔ Lab 2 [pdf] [ipynb] [solution]
- ◔ Exercise session 1 [pdf] [solution]
- ◔ Exercise session 2 [pdf] [solution]
2. Bifurcations and neuronal excitability- ◔ Lecture 1 [pdf]
- ◔ Lecture 2 [pdf]
- ◕ Readings [Prescott et al. (2008)]
- ◔ Lab [pdf] [ipynb]
3. Integrate-and-fire models- ◔ Lecture [pdf]
- ◕ Readings [Brette and Gertsner (2005)] [Brunel and van Rossum (2007)] [Ermentrout (2008)]
- ◔ Exercises [pdf] [ipynb]
4. Spiking in slow-fast systems- ◔ Lecture [pdf]
- ◕ Readings [FitzHugh (1961)] [Nagumo et al. (1962)]
- ◔ Lab [ipynb]
- ◔ Exercise [pdf] [solution]
5. Bursting in slow-fast systems- ◔ Lecture 1 [pdf]
- ◔ Lecture 2 [pdf]
- ◕ Readings [Rinzel (1986)] [Rinzel and Ermentrout (1998)] [Izhikevich (2000)]
- ◔ Lab [ipynb]
