Analysis and Modeling of Neural Systems by George L. Gerstein (auth.), Frank H. Eeckman (eds.)

By George L. Gerstein (auth.), Frank H. Eeckman (eds.)

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Segev), pp. 135-169. M. I. T. Press, Cambridge, Mass. 46 [251 Rinzel, J. and Lee, Y. S. (1987). Dissection of a model for neuronal parabolic bursting. J. Math. BioI. 25,653-675. [261 Rorsman, P. and Trube, G. (1986). Calcium and delayed potassium currents in mouse pancreatic ,8-cells under voltage clamp conditions. J. Physiol. 374, 531-550. , Atwater, I. and Rojas, E. (1981). A method for the simultaneous measurement of insulin release and B-cell membrane potential in single mouse islets of Langerhans.

Here time does not appear explicitly, but one sees simultaneously the values of two variables as they cycle repetitively around this orbit. Along the clockwise path, we see S increasing in the active phase and decreasing in the silent phase. Because the rates of Sand V are quite different the orbit is more rectangular than circular. The nearly vertical portions at the maximum and minimum values of S correspond to the rapid changes in voltage at the transitions between phases. One can believe from this representation that premature and rapid switching between phases could be evoked by depolarizing or hyperpolarizing current pulses of sufficient magnitude.

Soria), pp. 247-263. Plenum Publishing Corporation, New York and London. [241 Rinzel, J. and Ermentrout, G. B. (1989). Analysis of neural excitability and oscillations. In "Methods in Neuronal Modeling", (ed C. Koch and I. Segev), pp. 135-169. M. I. T. Press, Cambridge, Mass. 46 [251 Rinzel, J. and Lee, Y. S. (1987). Dissection of a model for neuronal parabolic bursting. J. Math. BioI. 25,653-675. [261 Rorsman, P. and Trube, G. (1986). Calcium and delayed potassium currents in mouse pancreatic ,8-cells under voltage clamp conditions.

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