M. Avoli and M. De-curtis, GABAergic synchronization in the limbic system and its role in the generation of epileptiform activity, Progress in Neurobiology, vol.95, issue.2, pp.104-132, 2011.
DOI : 10.1016/j.pneurobio.2011.07.003

C. Börgers, S. Epstein, and N. Kopell, Background gamma rhythmicity and attention in cortical local circuits: A computational study, Proceedings of the National Academy of Sciences, vol.19, issue.5, pp.7002-7007, 2005.
DOI : 10.1038/35086012

C. Capuani, M. Melone, A. Tottene, L. Bragina, G. Crivellaro et al., clearance by cortical astrocytes in familial hemiplegic migraine type 2, EMBO Molecular Medicine, vol.8, issue.8, 2016.
DOI : 10.15252/emmm.201505944

URL : http://doi.org/10.15252/emmm.201505944

S. Cestele, P. Scalmani, R. Rusconi, B. Terragni, S. Franceschetti et al., Self-Limited Hyperexcitability: Functional Effect of a Familial Hemiplegic Migraine Mutation of the Nav1.1 (SCN1A) Na+ Channel, Journal of Neuroscience, vol.28, issue.29, pp.7273-7283, 2008.
DOI : 10.1523/JNEUROSCI.4453-07.2008

URL : https://hal.archives-ouvertes.fr/inserm-00376508

S. Cestèle, A. Labate, R. Rusconi, P. Tarantino, L. Mumoli et al., mutation associated with seizures and hemiplegic migraine, Epilepsia, vol.9, issue.Suppl. 1, pp.927-935, 2013.
DOI : 10.1111/epi.12123

S. Cestèle, E. Schiavon, R. Rusconi, S. Franceschetti, and M. Mantegazza, Nonfunctional NaV1.1 familial hemiplegic migraine mutant transformed into gain of function by partial rescue of folding defects, Proceedings of the National Academy of Sciences, vol.26, issue.10, pp.17546-17551, 2013.
DOI : 10.1523/JNEUROSCI.2977-05.2006

D. Fusco, M. Marconi, R. Silvestri, L. Atorino, L. Rampoldi et al., Haploinsufficiency of ATP1A2 encoding the Na+/K+ pump ??2 subunit associated with familial hemiplegic migraine type 2, Haploinsufficiency of ATP1A2 encoding the Na + /K + pump 2 subunit associated with familial hemiplegic migraine type 2, pp.192-196, 2003.
DOI : 10.1038/ng1081

M. Dichgans, T. Freilinger, G. Eckstein, E. Babini, B. Lorenz-depiereux et al., Mutation in the neuronal voltage-gated sodium channel SCN1A in familial hemiplegic migraine, The Lancet, vol.366, issue.9483, pp.371-377, 2005.
DOI : 10.1016/S0140-6736(05)66786-4

N. Doyon, S. Prescott, A. Castonguay, A. Godin, H. Kröger et al., Efficacy of Synaptic Inhibition Depends on Multiple, Dynamically Interacting Mechanisms Implicated in Chloride Homeostasis, PLoS Computational Biology, vol.25, issue.9, p.1002149, 2011.
DOI : 10.1371/journal.pcbi.1002149.g011

J. Dreier, The role of spreading depression, spreading depolarization and spreading ischemia in neurological disease, Nature Medicine, vol.40, issue.4, pp.439-447, 2011.
DOI : 10.1016/j.cell.2004.08.026

B. Ermentrout, Simulating, analyzing, and animating dynamical systems: a guide to xppaut for researchers and students, 2002.
DOI : 10.1137/1.9780898718195

M. Ferrari, R. Klever, G. Terwindt, C. Ayata, and A. Van-den-maagdenberg, Migraine pathophysiology: lessons from mouse models and human genetics, The Lancet Neurology, vol.14, issue.1, pp.65-80, 2015.
DOI : 10.1016/S1474-4422(14)70220-0

T. Freund and I. Katona, Perisomatic Inhibition, Neuron, vol.56, issue.1, pp.33-42, 2007.
DOI : 10.1016/j.neuron.2007.09.012

URL : http://doi.org/10.1016/j.neuron.2007.09.012

R. Guerrini, C. Marini, and M. Mantegazza, Genetic Epilepsy Syndromes Without Structural Brain Abnormalities: Clinical Features and Experimental Models, Neurotherapeutics, vol.322, issue.Suppl, pp.269-285, 2014.
DOI : 10.1007/s13311-014-0267-0

URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3996114

S. Han, C. Tai, R. Westenbroek, F. Yu, C. Cheah et al., Autistic-like behaviour in Scn1a+/??? mice and rescue by enhanced GABA-mediated neurotransmission, Nature, vol.106, issue.7416, pp.385-390, 2012.
DOI : 10.1038/nature11356

URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3448848

U. Hedrich, C. Liautard, D. Kirschenbaum, M. Pofahl, J. Lavigne et al., Impaired Action Potential Initiation in GABAergic Interneurons Causes Hyperexcitable Networks in an Epileptic Mouse Model Carrying a Human NaV1.1 Mutation, Journal of Neuroscience, vol.34, issue.45, pp.14874-14889, 2014.
DOI : 10.1523/JNEUROSCI.0721-14.2014

K. Kahlig, T. Rhodes, M. Pusch, T. Freilinger, J. Pereira-monteiro et al., Divergent sodium channel defects in familial hemiplegic migraine, Proceedings of the National Academy of Sciences, vol.70, issue.2, pp.9799-9804, 2008.
DOI : 10.1124/mol.106.023952

K. Kaila, T. Price, J. Payne, M. Puskarjov, and J. Voipio, Cation-chloride cotransporters in neuronal development, plasticity and disease, Nature Reviews Neuroscience, vol.345, issue.10, pp.637-654, 2014.
DOI : 10.1038/nature04404

URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4294553

M. Lauritzen, Pathophysiology of the migraine aura, Brain, vol.117, issue.1, pp.199-210, 1994.
DOI : 10.1093/brain/117.1.199

L. Leo, L. Gherardini, V. Barone, D. Fusco, M. Pietrobon et al., Increased Susceptibility to Cortical Spreading Depression in the Mouse Model of Familial Hemiplegic Migraine Type 2, PLoS Genetics, vol.61, issue.3, p.1002129, 2011.
DOI : 10.1371/journal.pgen.1002129.t002

K. Lillis, M. Kramer, J. Mertz, K. Staley, and J. White, Pyramidal cells accumulate chloride at seizure onset, Neurobiology of Disease, vol.47, issue.3, pp.358-366, 2012.
DOI : 10.1016/j.nbd.2012.05.016

URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3392473

A. Van-den-maagdenberg, D. Pietrobon, T. Pizzorusso, S. Kaja, L. Broos et al., A Cacna1a Knockin Migraine Mouse Model with Increased Susceptibility to Cortical Spreading Depression, Neuron, vol.41, issue.5, pp.701-710, 2004.
DOI : 10.1016/S0896-6273(04)00085-6

M. Mantegazza, G. Curia, G. Biagini, D. Ragsdale, and M. Avoli, Voltage-gated sodium channels as therapeutic targets in epilepsy and other neurological disorders, The Lancet Neurology, vol.9, issue.4, pp.413-424, 2010.
DOI : 10.1016/S1474-4422(10)70059-4

URL : https://hal.archives-ouvertes.fr/hal-00497216

I. Ogiwara, H. Miyamoto, N. Morita, N. Atapour, E. Mazaki et al., Nav1.1 Localizes to Axons of Parvalbumin-Positive Inhibitory Interneurons: A Circuit Basis for Epileptic Seizures in Mice Carrying an Scn1a Gene Mutation, Journal of Neuroscience, vol.27, issue.22, pp.5903-5914, 2007.
DOI : 10.1523/JNEUROSCI.5270-06.2007

R. Ophoff, G. Terwindt, M. Vergouwe, R. Van-eijk, P. Oefner et al., Familial Hemiplegic Migraine and Episodic Ataxia Type-2 Are Caused by Mutations in the Ca2+ Channel Gene CACNL1A4, Cell, vol.87, issue.3, pp.543-552, 1996.
DOI : 10.1016/S0092-8674(00)81373-2

D. Pietrobon and M. Moskowitz, Chaos and commotion in the wake of cortical spreading depression and spreading depolarizations, Nature Reviews Neuroscience, vol.13, issue.6, pp.379-392, 2014.
DOI : 10.1126/science.1231897

C. Stafstrom, Persistent Sodium Current and Its Role in Epilepsy, Epilepsy Currents, vol.7, issue.1, pp.15-22, 2007.
DOI : 10.1111/j.1535-7511.2007.00156.x

E. Syková and C. Nicholson, Diffusion in Brain Extracellular Space, Physiological Reviews, vol.88, issue.4, pp.1277-1340, 2008.
DOI : 10.1152/physrev.00027.2007

A. Tottene, R. Conti, A. Fabbro, D. Vecchia, M. Shapovalova et al., Enhanced Excitatory Transmission at Cortical Synapses as the Basis for Facilitated Spreading Depression in CaV2.1 Knockin Migraine Mice, Neuron, vol.61, issue.5, pp.762-773, 2009.
DOI : 10.1016/j.neuron.2009.01.027

R. Traub, R. Wong, R. Miles, and H. Michelson, A model of a CA3 hippocampal pyramidal neuron incorporating voltage-clamp data on intrinsic conductances, J Neurophysiol, vol.66, pp.635-650, 1991.

G. Ullah, Y. Wei, M. Dahlem, M. Wechselberger, and S. Schiff, The Role of Cell Volume in the Dynamics of Seizure, Spreading Depression, and Anoxic Depolarization, PLOS Computational Biology, vol.22, issue.8, p.1004414, 2015.
DOI : 10.1371/journal.pcbi.1004414.s004

D. Vecchia and D. Pietrobon, Migraine: a disorder of brain excitatory???inhibitory balance?, Trends in Neurosciences, vol.35, issue.8, pp.507-520, 2012.
DOI : 10.1016/j.tins.2012.04.007

D. Vecchia, A. Tottene, A. Van-den-maagdenberg, and D. Pietrobon, Mechanism underlying unaltered cortical inhibitory synaptic transmission in contrast with enhanced excitatory transmission in CaV2.1 knockin migraine mice, Neurobiology of Disease, vol.69, pp.225-234, 2014.
DOI : 10.1016/j.nbd.2014.05.035

T. Viitanen, E. Ruusuvuori, K. Kaila, and J. Voipio, cotransporter KCC2 promotes GABAergic excitation in the mature rat hippocampus, The Journal of Physiology, vol.56, issue.9, pp.1527-1540, 2010.
DOI : 10.1113/jphysiol.2009.181826

Y. Wei, G. Ullah, and S. Schiff, Unification of Neuronal Spikes, Seizures, and Spreading Depression, Journal of Neuroscience, vol.34, issue.35, pp.11733-11743, 2014.
DOI : 10.1523/JNEUROSCI.0516-14.2014

X. Wang and G. Buzsáki, Gamma oscillation by synaptic inhibition in a hippocampal interneuronal network model, J Neurosci, vol.16, pp.6402-6413, 1996.

F. Yu, M. Mantegazza, R. Westenbroek, C. Robbins, F. Kalume et al., Reduced sodium current in GABAergic interneurons in a mouse model of severe myoclonic epilepsy in infancy, Nature Neuroscience, vol.18, issue.9, pp.1142-1149, 2006.
DOI : 10.1016/S0896-6273(00)80125-7

B. Zandt, B. Ten-haken, M. Van-putten, and M. Dahlem, Abstract, Reviews in the Neurosciences, vol.26, issue.2, pp.183-198, 2015.
DOI : 10.1515/revneuro-2014-0069