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
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