bursting
In neuroscience, bursting denotes two or more action potentials (spikes) fired by a neuron, followed by a period of quiescence. A burst of two spikes is called a doublet, three spikes - triplet, four - quadruplet, etc.
Most mathematical models of bursting can be written in the singularly perturbed form
˙x=f(x,y)(fast spiking)˙y=μg(x,y)(slow modulation) |
where x∈ℝn is the fast variable that simulates fast spiking of the neuron, and y∈ℝm is the slow variable that modulates such spiking activity.
A topological classification of bursters relies on the bifurcations of the fast subsystem (variable x) when the slow subsystem (variable y) is treated as a parameter.
References
-
iz
Izhikevich E.M. (2007) Dynamical Systems
in Neuroscience: The Geometry of Excitability and Bursting. The MIT Press.
- izb Eugene M. Izhikevich (2006) Bursting. Scholarpedia, p.1401 (available online at http://www.scholarpedia.org/article/Bursting).
Title | bursting |
---|---|
Canonical name | Bursting |
Date of creation | 2013-03-22 16:28:51 |
Last modified on | 2013-03-22 16:28:51 |
Owner | emi (15656) |
Last modified by | emi (15656) |
Numerical id | 7 |
Author | emi (15656) |
Entry type | Definition |
Classification | msc 92B20 |
Classification | msc 92C20 |
Synonym | burst |