Modeling the modulation of neuronal bursting: A singularity theory approach


Por: Franci A., Drion G., Sepulchre R.

Publicada: 1 ene 2014
Resumen:
Exploiting the specific structure of neuron conductance-based models, the paper investigates the mathematical modeling of neuronal bursting modulation. The proposed approach combines singularity theory and geometric singular perturbations to capture the geometry of multiple time-scale attractors in the neighborhood of high-codimension singularities. We detect a three-time-scale bursting attractor in the universal unfolding of the winged cusp singularity and discuss the physiological relevance of the bifurcation and unfolding parameters in determining a physiological modulation of bursting. The results suggest generality and simplicity in the organizing role of the winged cusp singularity for the global dynamics of conductance-based models. © 2014 Society for Industrial and Applied Mathematics.

Filiaciones:
Franci A.:
 Department of Engineering, University of Cambridge, Cambridge, United Kingdom

Drion G.:
 Department of Electrical Engineering and Computer Science, University of Liege, Liege, Belgium

 Laboratory of Neurophysiology, GIGA Neurosciences, University of Liege, Liege, Belgium

Sepulchre R.:
 Department of Engineering, University of Cambridge, Cambridge, United Kingdom
ISSN: 15360040
Editorial
Society for Industrial and Applied Mathematics Publications, 3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA, Estados Unidos America
Tipo de documento: Article
Volumen: 13 Número: 2
Páginas: 798-829
WOS Id: 000338835800007