Barreto E, Cressman JR. (2011). Ion concentration dynamics as a mechanism for neuronal bursting. Journal of biological physics. 37 [PubMed]
Clancy CE, Rudy Y. (1999). Linking a genetic defect to its cellular phenotype in a cardiac arrhythmia. Nature. 400 [PubMed]
Coppola G, Pierelli F, Schoenen J. (2007). Is the cerebral cortex hyperexcitable or hyperresponsive in migraine? Cephalalgia : an international journal of headache. 27 [PubMed]
Cressman JR, Ullah G, Ziburkus J, Schiff SJ, Barreto E. (2009). The influence of sodium and potassium dynamics on excitability, seizures, and the stability of persistent states: I. Single neuron dynamics. Journal of computational neuroscience. 26 [PubMed]
Dahlem MA. (2013). Migraine generator network and spreading depression dynamics as neuromodulation targets in episodic migraine. Chaos (Woodbury, N.Y.). 23 [PubMed]
Ferrari MD et al. (2012). Mutation in the neuronal voltage-gated sodium channel SCN1A in familial hemiplegic migraine. Lancet. 366
Fitzhugh R. (1955). Mathematical models of threshold phenomena in the nerve membrane Bullmath Biophys. 17
Friberg L et al. (1994). Absence of vasoactive peptide release from brain to cerebral circulation during onset of migraine with aura. Cephalalgia : an international journal of headache. 14 [PubMed]
HODGKIN AL, HUXLEY AF. (1952). A quantitative description of membrane current and its application to conduction and excitation in nerve. The Journal of physiology. 117 [PubMed]
Hübel N, Schöll E, Dahlem MA. (2014). Bistable dynamics underlying excitability of ion homeostasis in neuron models. PLoS computational biology. 10 [PubMed]
Kager H, Wadman WJ, Somjen GG. (2000). Simulated seizures and spreading depression in a neuron model incorporating interstitial space and ion concentrations. Journal of neurophysiology. 84 [PubMed]
Kurth T, Diener HC. (2012). Migraine and stroke: perspectives for stroke physicians. Stroke. 43 [PubMed]
Mitry J, McCarthy M, Kopell N, Wechselberger M. (2013). Excitable neurons, firing threshold manifolds and canards. Journal of mathematical neuroscience. 3 [PubMed]
Olesen J et al. (1993). Ischaemia-induced (symptomatic) migraine attacks may be more frequent than migraine-induced ischaemic insults. Brain. 116 ( Pt 1)
Pietrobon D. (2010). Biological science of headache channels. Handbook of clinical neurology. 97 [PubMed]
Schiff SJ, Barreto E, Ziburkus J, Cressman JR, Ullah G. (2011). Erratum to: The influence of sodium and potassium dynamics on excitability, seizures, and the stability of persistent states: I. Single neuron dynamics. J Comput Neurosci. 30
Shepherd AJ. (2001). Increased visual after-effects following pattern adaptation in migraine: a lack of intracortical excitation? Brain : a journal of neurology. 124 [PubMed]
Vanmolkot KR et al. (2007). The novel p.L1649Q mutation in the SCN1A epilepsy gene is associated with familial hemiplegic migraine: genetic and functional studies. Mutation in brief #957. Online. Human mutation. 28 [PubMed]
Yao W, Huang H, Miura RM. (2011). A continuum neuronal model for the instigation and propagation of cortical spreading depression. Bulletin of mathematical biology. 73 [PubMed]
Zandt BJ, ten Haken B, van Dijk JG, van Putten MJ. (2011). Neural dynamics during anoxia and the "wave of death". PloS one. 6 [PubMed]
van den Maagdenberg AM, Haan J, Terwindt GM, Ferrari MD. (2007). Migraine: gene mutations and functional consequences. Current opinion in neurology. 20 [PubMed]
Hübel N, Andrew RD, Ullah G. (2016). Large extracellular space leads to neuronal susceptibility to ischemic injury in a Na+/K+ pumps-dependent manner. Journal of computational neuroscience. 40 [PubMed]
Hübel N, Dahlem MA. (2014). Dynamics from seconds to hours in Hodgkin-Huxley model with time-dependent ion concentrations and buffer reservoirs. PLoS computational biology. 10 [PubMed]
Hübel N, Hosseini-Zare MS, Žiburkus J, Ullah G. (2017). The role of glutamate in neuronal ion homeostasis: A case study of spreading depolarization. PLoS computational biology. 13 [PubMed]
Hübel N, Ullah G. (2016). Anions Govern Cell Volume: A Case Study of Relative Astrocytic and Neuronal Swelling in Spreading Depolarization. PloS one. 11 [PubMed]
Stein W, Harris AL. (2022). Interneuronal dynamics facilitate the initiation of spike block in cortical microcircuits Journal of computational neuroscience. 50 [PubMed]
Sætra MJ, Einevoll GT, Halnes G. (2021). An electrodiffusive neuron-extracellular-glia model for exploring the genesis of slow potentials in the brain PLoS computational biology. 17 [PubMed]