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syn = -85 (in mV). For numerically solving the model's equations, we approximate the continuum formulation by discretizing in space, using N cells equally distributed along the network's length L (arbitrarily chosen as 2 mm); N = 200 unless stated otherwise. The spatially discretized version is numerically integrated in time using a second-order modified-Euler method with δt = 0.5 ms. Accuracy was confirmed by achieving agreement after adequately refining the temporal and spatial discretizations.
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6844250131
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The model's spatiotemporal activity can be dynamically visualized over the Internet by using an MPEG-capable browser, opening the Web site http.//www. pitt.edu/~phase, and going to the section "Movies of waves in a simple PIR inhibitorily coupled network."
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During an axonal action potential's upstroke, the slower negative feedback processes (such as inactivation of the sodium current or activation of some potassium currents) remain approximately at their resting values. In PIR, the negating state of such slower feedback processes must be reduced from resting levels by prehyperpolarizing the membrane so that rebounding can occur (3, 7, 8). This feature intimately involves the kinetics of negative feedback in the rebound upstroke. Also, a spatially symmetric and localized initial depolarization on an axon typically yields just two impulses, one propagating away in each direction. In striking contrast, for PIR, release from a localized and symmetric initial hyperpolarization can lead to widespread maintained activity, behind the recruitment front.
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23
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6844259892
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note
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Ca-T per se. Because PIR is qualitatively equivalent to anodal break excitation, there is a class of membrane models that when used in a network formulation like ours show activity patterns as reported here. We have found slow lurching and smooth waves by using a Morris-Lecar-type action potential model [see (21)] that has a fast, non-inactivating, inward current and slower outward current (11).
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We note however that smooth waves are possible with on-center synaptic coupling if individual neurons are able to oscillate for some appropriate levels of maintained input (10).
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Supported by the Alfred P. Sloan Foundation, NSF grants DMS-9203299 and DMS-9626728, NIH grants MH53717-01 and MH 47150, and the W. M. Keck Foundation
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Supported by the Alfred P. Sloan Foundation, NSF grants DMS-9203299 and DMS-9626728, NIH grants MH53717-01 and MH 47150, and the W. M. Keck Foundation.
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