Article (Scientific journals)
An Organizing Center in a Planar Model of Neuronal Excitability
Franci, Alessio; Drion, Guillaume; Sepulchre, Rodolphe
2012In SIAM Journal on Applied Dynamical Systems, 11 (4), p. 1698-1722
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Keywords :
Neurodynamics; Bifurcation theory; Excitability
Abstract :
[en] The paper studies the excitability properties of a generalized FitzHugh-Nagumo model. The model differs from the purely competitive FitzHugh-Nagumo model in that it accounts for the effect of cooperative gating variables such as activation of calcium currents. Excitability is explored by unfolding a pitchfork bifurcation that is shown to organize five different types of excitability. In addition to the three classical types of neuronal excitability, two novel types are described and distinctly associated to the presence of cooperative variables.
Disciplines :
Physical, chemical, mathematical & earth Sciences: Multidisciplinary, general & others
Author, co-author :
Franci, Alessio   ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation
Drion, Guillaume  ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Dép. d'électric., électron. et informat. (Inst.Montefiore)
Sepulchre, Rodolphe ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation
 These authors have contributed equally to this work.
Language :
English
Title :
An Organizing Center in a Planar Model of Neuronal Excitability
Publication date :
2012
Journal title :
SIAM Journal on Applied Dynamical Systems
eISSN :
1536-0040
Publisher :
Society for Industrial & Applied Mathematics
Volume :
11
Issue :
4
Pages :
1698-1722
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 29 April 2013

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