Research - Publications

Research domains

Dynamical systems and qualitative analysis

Dynamical systems, Bifurcation theory, Singular perturbation theory, time series analysis

Modeling in neurosciences

Neural mass, Neuro-glial interactions, Neuro-glial mass, Network

Publications (peer reviewed)

A. Garnier, A. Vidal, H. Benali, A theoretical study of the role of astrocyte activity in neuronal hyperexcitability using a new neuro-glial mass model, Journal of Mathematical Neuroscience, 6:10, 2016

A. Garnier, A. Vidal, C. Huneau, H. Benali, A neural mass model with direct and indirect excitatory feedback loops : identification of bifurcations and temporal dynamics, Neural Computation, Vol. 27, pp. 329-364, 2015

Proceedings (peer reviewed)

A. Garnier, C. Huneau, A. Vidal, F. Wendling, H. Benali, Complex dynamics for the study of neural activity in the human brain, RITS 2015, Dourdan, France

A. Garnier, C. Huneau, A. Vidal, F. Wendling, H. Benali, Identification of dynamical behaviors in epileptic discharges using a neural mass model with double excitatory feedback, Proceedings os ICCSA 2014, Normandie University, Le Havre, France

Communications

International Workshops & conferences

Oral communications

ICCSA 2014, Normandie University, Le Havre, France : "Identification of dynamical behaviors in epileptic discharges using a neural mass model with double excitatory feedback."

Posters

Workshop on slow-fast dynamics : Theory, Numerics, Applications to life ans earth sciences, Barcelona, Spain, 2013 : "Multiple time-scale based reduction of a structure/function model of the human neural activity."