Bursting oscillations
Abstract
It is often the case that neurons produce periodic bursts of activity separated by a period of quiescence. This is called bursting and has been the focus of many mathematical models and model analyses. This chapter describes two bursting models, the Chay-Keizer model and the phantom bursting model, and how their dynamics can be analyzed through a fast-slow analysis. This analysis separates the original model into a fast subsystem (the layer problem) and a slow subsystem (the reduced problem), analyzing each separately before gluing them back together.
Fields of Study & Subjects
Neural dynamics and brain function
Advanced Differential Equations and Dynamical Systems
Differential Equations and Numerical Methods
Publication details
- Journal / source
- Chapman & Hall/CRC eBooks
- Pages
- 44–59
- Publication date
- 27 February 2026
- Language
- EN
- Document type
- Book chapter