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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]

See more from authors: Cressman JR · Ullah G · Ziburkus J · Schiff SJ · Barreto E

References and models cited by this paper

Amzica F, Massimini M, Manfridi A. (2002). Spatial buffering during slow and paroxysmal sleep oscillations in cortical networks of glial cells in vivo. The Journal of neuroscience : the official journal of the Society for Neuroscience. 22 [PubMed]

Bazhenov M, Timofeev I, Steriade M, Sejnowski TJ. (2004). Potassium model for slow (2-3 Hz) in vivo neocortical paroxysmal oscillations. Journal of neurophysiology. 92 [PubMed]

Bikson M, Hahn PJ, Fox JE, Jefferys JG. (2003). Depolarization block of neurons during maintenance of electrographic seizures. Journal of neurophysiology. 90 [PubMed]

Dumortier F, Roussarie R. (1996). Canard cycles and center manifolds Mem Am Math Soc. 121

Ermentrout GB. (2002). Simulating, Analyzing, and Animating Dynamical System: A Guide to XPPAUT for Researchers and Students Society for Industrial and Applied Mathematics (SIAM).

FRANKENHAEUSER B, HODGKIN AL. (1956). The after-effects of impulses in the giant nerve fibres of Loligo. The Journal of physiology. 131 [PubMed]

Feng Z, Durand DM. (2006). Effects of potassium concentration on firing patterns of low-calcium epileptiform activity in anesthetized rat hippocampus: inducing of persistent spike activity. Epilepsia. 47 [PubMed]

Fisher RS, Pedley TA, Prince DA. (1976). Kinetics of potassium movement in norman cortex. Brain research. 101 [PubMed]

Gluckman BJ, Nguyen H, Weinstein SL, Schiff SJ. (2001). Adaptive electric field control of epileptic seizures. The Journal of neuroscience : the official journal of the Society for Neuroscience. 21 [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]

Heinemann U, Lux HD, Gutnick MJ. (1977). Extracellular free calcium and potassium during paroxsmal activity in the cerebral cortex of the cat. Experimental brain research. 27 [PubMed]

Jensen MS, Yaari Y. (1997). Role of intrinsic burst firing, potassium accumulation, and electrical coupling in the elevated potassium model of hippocampal epilepsy. Journal of neurophysiology. 77 [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]

Kager H, Wadman WJ, Somjen GG. (2007). Seizure-like afterdischarges simulated in a model neuron. Journal of computational neuroscience. 22 [PubMed]

Kepler TB, Abbott LF, Marder E. (1992). Reduction of conductance-based neuron models. Biological cybernetics. 66 [PubMed]

Kuschinsky W, Wahl M, Bosse O, Thurau K. (2006). The dependency of the pial arterial and arteriolar resistance on the perivascular H + and K + concentrations. A micropuncture study. Eur Neurol. 6

Mason A, Larkman A. (1990). Correlations between morphology and electrophysiology of pyramidal neurons in slices of rat visual cortex. II. Electrophysiology. The Journal of neuroscience : the official journal of the Society for Neuroscience. 10 [PubMed]

Mazel T, Simonová Z, Syková E. (1998). Diffusion heterogeneity and anisotropy in rat hippocampus. Neuroreport. 9 [PubMed]

McBain CJ. (1994). Hippocampal inhibitory neuron activity in the elevated potassium model of epilepsy. Journal of neurophysiology. 72 [PubMed]

McBain CJ, Traynelis SF, Dingledine R. (1990). Regional variation of extracellular space in the hippocampus. Science (New York, N.Y.). 249 [PubMed]

McCulloch J, Edvinsson L, Watt P. (1982). Comparison of the effects of potassium and pH on the calibre of cerebral veins and arteries. Pflugers Archiv : European journal of physiology. 393 [PubMed]

Moody WJ, Futamachi KJ, Prince DA. (1974). Extracellular potassium activity during epileptogenesis. Experimental neurology. 42 [PubMed]

Park EH, Durand DM. (2006). Role of potassium lateral diffusion in non-synaptic epilepsy: a computational study. Journal of theoretical biology. 238 [PubMed]

Paulson OB, Newman EA. (1987). Does the release of potassium from astrocyte endfeet regulate cerebral blood flow? Science (New York, N.Y.). 237 [PubMed]

Pinsky PF, Rinzel J. (1994). Intrinsic and network rhythmogenesis in a reduced Traub model for CA3 neurons. Journal of computational neuroscience. 1 [PubMed]

Ransom CB, Ransom BR, Sontheimer H. (2000). Activity-dependent extracellular K+ accumulation in rat optic nerve: the role of glial and axonal Na+ pumps. The Journal of physiology. 522 Pt 3 [PubMed]

Rinzel J. (1985). Excitation dynamics: insights from simplified membrane models. Federation proceedings. 44 [PubMed]

Rinzel J, Ermentrout GB. (1989). Analysis of neuronal excitability and oscillations Methods In Neuronal Modeling: From Synapses To Networks.

Rutecki PA, Lebeda FJ, Johnston D. (1985). Epileptiform activity induced by changes in extracellular potassium in hippocampus. Journal of neurophysiology. 54 [PubMed]

Scharrer E. (1944). The blood vessels of the nervous tissue The Quarterly Review Of Biology. 19(4)

Schiff SJ, Ziburkus J, Ullah G, Cressman_jr , Barreto_e ION. (2008). Ion concentration dynamics: mechanisms for bursting and seizing BMC Neuroscience. 9(Suppl 1)

Sejnowski TJ, Timofeev I, Bazhenov M, Frohlich F. (2008). Extracellular potassium dynamics and epileptogenesis Computational Neuroscience in Epilepsy.

Somjen GG. (2004). Ions in the brain: Normal function, seizures and stroke.

Strogatz SH, Herbert DE. (1994). Nonlinear Dynamics and Chaos.

Traynelis SF, Dingledine R. (1988). Potassium-induced spontaneous electrographic seizures in the rat hippocampal slice. Journal of neurophysiology. 59 [PubMed]

Ullah G, Cressman JR, Barreto E, Schiff SJ. (2009). The influence of sodium and potassium dynamics on excitability, seizures, and the stability of persistent states. II. Network and glial dynamics. Journal of computational neuroscience. 26 [PubMed]

Wang XJ. (1999). Synaptic basis of cortical persistent activity: the importance of NMDA receptors to working memory. The Journal of neuroscience : the official journal of the Society for Neuroscience. 19 [PubMed]

Wechselberger M. (2007). Scholarpedia. 2(4)

Ziburkus J, Cressman JR, Barreto E, Schiff SJ. (2006). Interneuron and pyramidal cell interplay during in vitro seizure-like events. Journal of neurophysiology. 95 [PubMed]

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Barreto E, Cressman JR. (2011). Ion concentration dynamics as a mechanism for neuronal bursting. Journal of biological physics. 37 [PubMed]

Buchin A, Chizhov A, Huberfeld G, Miles R, Gutkin BS. (2016). Reduced Efficacy of the KCC2 Cotransporter Promotes Epileptic Oscillations in a Subiculum Network Model. The Journal of neuroscience : the official journal of the Society for Neuroscience. 36 [PubMed]

Chizhov AV, Zefirov AV, Amakhin DV, Smirnova EY, Zaitsev AV. (2018). Minimal model of interictal and ictal discharges "Epileptor-2". PLoS computational biology. 14 [PubMed]

Dahlem MA, Schumacher J, Hübel N. (2014). Linking a genetic defect in migraine to spreading depression in a computational model. PeerJ. 2 [PubMed]

Gentiletti D, Suffczynski P, Gnatkovsky V, de Curtis M. (2017). Changes of Ionic Concentrations During Seizure Transitions - A Modeling Study. International journal of neural systems. 27 [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]

Janjic P, Solev D, Kocarev L. (2023). Non-trivial dynamics in a model of glial membrane voltage driven by open potassium pores Biophysical journal. 122 [PubMed]

Joos B, Barlow BM, Morris CE. (2018). Calculating the Consequences of Left-Shifted Nav Channel Activity in Sick Excitable Cells. Handbook of experimental pharmacology. 246 [PubMed]

Kelley C, Newton AJH, Hrabetova S, McDougal RA, Lytton WW. (2022). Multiscale Computer Modeling of Spreading Depolarization in Brain Slices eNeuro. 9 [PubMed]

Krishnan GP, Filatov G, Shilnikov A, Bazhenov M. (2015). Electrogenic properties of the Na?/K? ATPase control transitions between normal and pathological brain states. Journal of neurophysiology. 113 [PubMed]

Lee J, Boas DA, Kim SJ. (2011). Multiphysics neuron model for cellular volume dynamics. IEEE transactions on bio-medical engineering. 58 [PubMed]

Liou JY et al. (2020). A model for focal seizure onset, propagation, evolution, and progression. eLife. 9 [PubMed]

Naze S, Bernard C, Jirsa V. (2015). Computational modeling of seizure dynamics using coupled neuronal networks: factors shaping epileptiform activity. PLoS computational biology. 11 [PubMed]

Reznik RI, Barreto E, Sander E, So P. (2016). Effects of polarization induced by non-weak electric fields on the excitability of elongated neurons with active dendrites. Journal of computational neuroscience. 40 [PubMed]

Sharples SA et al. (2021). Mechanisms of Episodic Rhythmicity Contributions of h-and Na+/K+ pump currents to the generation of episodic and continuous rhythmic activities Frontiers in cellular neuroscience. 15 [PubMed]

Solbrå A et al. (2018). A Kirchhoff-Nernst-Planck framework for modeling large scale extracellular electrodiffusion surrounding morphologically detailed neurons. PLoS computational biology. 14 [PubMed]

Sudhakar SK, Choi TJ, Ahmed OJ. (2019). Biophysical Modeling Suggests Optimal Drug Combinations for Improving the Efficacy of GABA Agonists after Traumatic Brain Injuries. Journal of neurotrauma. 36 [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]

Truccolo W, Ho EC. (2016). Interaction between Synaptic Inhibition and Glial-Potassium Dynamics leads to Diverse Seizure Transition Modes in Biophysical Models of Human Focal Seizures J Comput Neurosci.

Ullah G, Cressman JR, Barreto E, Schiff SJ. (2009). The influence of sodium and potassium dynamics on excitability, seizures, and the stability of persistent states. II. Network and glial dynamics. Journal of computational neuroscience. 26 [PubMed]

Wei Y, Ullah G, Ingram J, Schiff SJ. (2014). Oxygen and seizure dynamics: II. Computational modeling. Journal of neurophysiology. 112 [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]

Zylbertal A, Kahan A, Ben-Shaul Y, Yarom Y, Wagner S. (2015). Prolonged Intracellular Na+ Dynamics Govern Electrical Activity in Accessory Olfactory Bulb Mitral Cells. PLoS biology. 13 [PubMed]

Zylbertal A, Yarom Y, Wagner S. (2017). Synchronous Infra-Slow Bursting in the Mouse Accessory Olfactory Bulb Emerge from Interplay between Intrinsic Neuronal Dynamics and Network Connectivity. The Journal of neuroscience : the official journal of the Society for Neuroscience. 37 [PubMed]

Zylbertal A, Yarom Y, Wagner S. (2017). The Slow Dynamics of Intracellular Sodium Concentration Increase the Time Window of Neuronal Integration: A Simulation Study Frontiers in computational neuroscience. 11 [PubMed]

Øyehaug L, Østby I, Lloyd CM, Omholt SW, Einevoll GT. (2012). Dependence of spontaneous neuronal firing and depolarisation block on astroglial membrane transport mechanisms. Journal of computational neuroscience. 32 [PubMed]

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