Dynamics of synaptic transfer in living and simulated neurons
Michael Stiber,Jose P. Segundo +1 more
- 28 Mar 1993
- Vol. 1993, pp 75-80
TL;DR: A comparison of the responses of an ionic-permeability-based neural model to periodic inhibitory driving with that of a living preparation with insights into neuron activities that are verified by examination of the living data is summarized.
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Abstract: A comparison of the responses of an ionic-permeability-based neural model to periodic inhibitory driving with that of a living preparation is summarized. Duplication of most neuron response types is excellent. Simulation results lead to insights into neuron activities that are verified by examination of the living data. >
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Figures
Figure 1: A schematic view of input (presynaptic) and output (postsynaptic) trains. The input events are regular, with interval I . The output events may be regular of irregular, with the time of event i designated ti and the interval to preceding one Ti. Phases i are measured as the time between an output and the immediately preceding input, normalized to I . 
Figure 5: Stammering in simulation and SAO. Intervals (simulation: A, C; SAO: E, G) and phases (simulation: B, D; SAO: F, H). Intime plot (A) shows acceleratory effect of inhibition and extreme intervals which are multiples of driver. There are two classes of phases (B, F). Phases in the simulation alternate (D). Simulation parameters: N I , I s, T s, Psyn cm/s. 
Figure 2: This graph shows the borders of selected locking behaviors for inhibitory input to the permeability model. Cross-hatched areas correspond to other locking ratios or non-locked behavior. Note the region to the right where inhibition shuts the simulated neuron down. 
Figure 4: Expanded view of ™elbow” portion of interval return map in Figure ??(C) indicates Ænestructure. 
Figure 6: Enlargement of upper left ™point” from Figure ??(D) show the cluster has Ænestructure, an extremum, and is not invertible. 
Figure 3: Walkthrough in simulation and SAO. Intervals (simulation: A, C; SAO: E, G) and phases (simulation: B, D; SAO: F, H). Intime (Ti vs. ti) plots (A, E) show preferred minimum interval. Phases (B, F) alternate between long and short categories, which walk through the range of values. Interval return maps (C, G) are ‘L’ shaped with ™elbows” on the diagonal. Phase return maps (D, H) shows continuous curves. Simulation parameters: N I , I s, T s, Psyn cm/s.
Citations
The Neurobiology of Computation
James M. Bower
- 01 Jan 1995
TL;DR: Recently-introduced models obtained by simplifying more detailed biophysical models of postsynaptic receptors are presented, fully compatible with the Hodgkin-Huxley formalism, are very efficient to simulate, and account for important phenomena such as synaptic summation and desensitization.
50
Global bifurcation structure of a Bonhoeffer-van der Pol oscillator driven by periodic pulse trains
TL;DR: Analyzed in detail were the complex discharges called ‘stammering’ which involve interspike intervals that arise unpredictably and exhibit histograms with several modes separated by the equal intervals.
43
The spike trains of inhibited pacemaker neurons seen through the magnifying glass of nonlinear analyses
TL;DR: This communication describes the new information that may be obtained by applying nonlinear analytical techniques to neurobiological time-series and demonstrates that heterogeneous postsynaptic forms can indeed be induced by manipulating a few presynaptic variables.
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Transients in the inhibitory driving of neurons and their postsynaptic consequences
TL;DR: The presynaptic fiber at an inhibitory synapse on a pacemaker neuron was forced to generate transients, defined here as spike trains with a trend, unceasingly accelerating or slowing, on isolated crayfish stretch receptor organs, which revealed strong similarities to the stationary forms reported for different pacemaker drivings.
34
Periodically modulated inhibition and its postsynaptic consequences—I. General features. Influence of modulation frequency
TL;DR: The relation, or "synaptic coding", between spike trains across a synapse with inhibitory postsynaptic potentials when the presynaptic rate is modulated periodically and the post Synaptic cell is a pacemaker is examined.
24
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TL;DR: This article concludes a series of papers concerned with the flow of electric current through the surface membrane of a giant nerve fibre by putting them into mathematical form and showing that they will account for conduction and excitation in quantitative terms.
A quantitative description of membrane current and its application to conduction and excitation in nerve
A. L. Hodgkin,A. F. Huxley +1 more
TL;DR: This article concludes a series of papers concerned with the flow of electric current through the surface membrane of a giant nerve fibre by putting them into mathematical form and showing that they will account for conduction and excitation in quantitative terms.
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