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Original Article

Simplified Reaction-Diffusion Equations for Potassium and Calcium Ion Concentrations During Spreading Cortical Depression

Pages 95-107 | Received 11 Jun 1980, Published online: 07 Jul 2009

References

  • Brinley F. J., Kandel E. R., Marshall W. H. Potassium outflux from rabbit cortex during spreading depression. Journal of Neurophysiology 1960; 23: 246–256
  • Higashida H., Mitari G., Watanabe S. A comparative study of membrane potential changes in neurons and neuroglial cells during spreading depression in the rabbit. Brain Research 1974; 65: 411–425
  • Kraig R. P., Nicholson C. Extracellular ionic variations during spreading depression. Neuroscience 1978; 3: 1045–1059
  • Leao A. A. P. Spreading depression of activity in the cerebral cortex. Journal of Neurophysiology 1944; 7: 359–390
  • Lees M. Numerical Solution of Partial Differential Equations, W. F. Ames. Barnes and Noble, New York 1969; 193
  • Llinas R., Steinberg I. Z., Walton K. Presynaptic calcium currents and their relation to synaptic transmission; voltage clamp study in squid giant synapse and theoretical model of the calcium gate. Proceedings of the National Academy of Science, U.S.A., 1976; 73: 2918–2922
  • Mayevsky A., Chance B. Repetitive patterns of metabolic changes during cortical spreading depression of the awake rat. Brain Research 1974; 65: 529–533
  • Nicholson C., Bruggencate G. ten, Steinberg R., Stockle H. Calcium modulation in brain extracellular microenvironment demonstrated with ion-selective micropipette. Proceedings of the National Academy of Science, U.S.A., 1977; 74: 1287–1290
  • Nicholson C., Kraig R. P. The behavior of extracellular ions during spreading depression. The Application of Ion-Selective Electrodes, T. Zeuthen. Elsevier/North Holland, Amsterdam 1980, in press
  • Nicholson C., Bruggencate G. ten, Stockle H., Steinberg R. Calcium and potassium changes in extracellular microenvironment of cat cerebellar cortex. Journal of Neurophysiology 1978; 41: 1026–1039
  • Quastel D. M. J. Excitation-secretion coupling at the mammalian neuromuscular junction. Synaptic Transmission and Neuronal Interaction. Raven Press, New York 1974; 23
  • Rosenthal M., Somjen G. Spreading depression, sustained potential shifts, and metabolic activity of cerebral cortex of cats. Journal of Neurophysiology 1973; 36: 739–749
  • Sugaya E., Takato M., Noda Y. Neuronal and glial activity during spreading depression in the cerebral cortex of cat. Journal of Neurophysiology 1975; 38: 822–841
  • Tuckwell H. C. Predictions and properties of a model of potassium and calcium ion movements during spreading cortical depression. Intern. Journal of Neuroscience 1980a; 10: 145–164
  • Tuckwell H. C. Ion and transmitter movements during spreading cortical depression. International Journal of Neuroscience, (in press)
  • Tuckwell H. C., Miura R. M. A mathematical model for spreading cortical depression. Biophysical Journal 1978; 23: 257–276
  • Van Harreveld A., Fifkova E. Mechanisms involved in spreading depression. Journal of Neurobiology 1973; 4: 375–387
  • Vyskocil F., Kriz N., Bures J. Potassium-selective microelectrodes used for measuring the extracellular brain potassium during spreading depression and anoxic depolarization in rats. Brain Research 1972; 39: 255–259

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