79 citations · 156 across the 7 of their papers we have counts for
9 papers
Wild oscillations in a nonlinear neuron model with resets: (I) Bursting, spike adding and chaos
Jonathan E. Rubin, Justyna Signerska-Rynkowska, Jonathan D. Touboul +1
In a series of two papers, we investigate the mechanisms by which complex oscillations are generated in a class of nonlinear dynamical systems with resets modeling the voltage and…
A theoretical study of the role of astrocyte activity in neuronal hyperexcitability using a new neuro-glial mass model
Aurélie Garnier, Alexandre Vidal, Habib Benali
The investigation of the neuronal environment allows us to better understand the activity of a cerebral region as a whole. The recent experimental evidences of the presence of tran…
Wild oscillations in a nonlinear neuron model with resets: (II) Mixed-mode oscillations
Jonathan E. Rubin, Justyna Signerska-Rynkowska, Jonathan Touboul +1
This work continues the analysis of complex dynamics in a class of bidimensional nonlinear hybrid dynamical systems with resets modeling neuronal voltage dynamics with adaptation a…
Mixed-mode oscillations in a multiple time scale phantom bursting system
Maciej Krupa, Alexandre Vidal, Mathieu Desroches +1
In this work we study mixed mode oscillations in a model of secretion of GnRH (Gonadotropin Releasing Hormone). The model is a phantom burster consisting of two feedforward coupled…
DynPeak : An algorithm for pulse detection and frequency analysis in hormonal time series
Alexandre Vidal, Qinghua Zhang, Claire Médigue +2
The endocrine control of the reproductive function is often studied from the analysis of luteinizing hormone (LH) pulsatile secretion by the pituitary gland. Whereas measurements i…
Canard cycles in global dynamics
Alexandre Vidal, Jean-Pierre Françoise
Fast-slow systems are studied usually by "geometrical dissection". The fast dynamics exhibit attractors which may bifurcate under the influence of the slow dynamics which is seen a…