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A probabilistic analysis of forced o...
~
Ritt, Jason Thomas Wolff.
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A probabilistic analysis of forced oscillators, with application to neuronal response reliability.
Record Type:
Electronic resources : Monograph/item
Title/Author:
A probabilistic analysis of forced oscillators, with application to neuronal response reliability./
Author:
Ritt, Jason Thomas Wolff.
Description:
102 p.
Notes:
Source: Dissertation Abstracts International, Volume: 63-10, Section: B, page: 4527.
Contained By:
Dissertation Abstracts International63-10B.
Subject:
Biology, Neuroscience. -
Online resource:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3069268
ISBN:
0493888160
A probabilistic analysis of forced oscillators, with application to neuronal response reliability.
Ritt, Jason Thomas Wolff.
A probabilistic analysis of forced oscillators, with application to neuronal response reliability.
- 102 p.
Source: Dissertation Abstracts International, Volume: 63-10, Section: B, page: 4527.
Thesis (Ph.D.)--Boston University, 2003.
Nervous tissue operates through spikes, rapid fluctuations in the electrical potential across neuronal cell membranes. It is unknown how precise the timing of spikes must be for the proper function of the nervous system. A prerequisite of any theory that depends on fine timing is that individual neurons respond in a repeatable, predictable way to their synaptic inputs, which in awake animals typically have a complicated temporal structure.
ISBN: 0493888160Subjects--Topical Terms:
1017680
Biology, Neuroscience.
A probabilistic analysis of forced oscillators, with application to neuronal response reliability.
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A probabilistic analysis of forced oscillators, with application to neuronal response reliability.
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102 p.
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Source: Dissertation Abstracts International, Volume: 63-10, Section: B, page: 4527.
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Major Professor: Nancy Kopell.
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Thesis (Ph.D.)--Boston University, 2003.
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Nervous tissue operates through spikes, rapid fluctuations in the electrical potential across neuronal cell membranes. It is unknown how precise the timing of spikes must be for the proper function of the nervous system. A prerequisite of any theory that depends on fine timing is that individual neurons respond in a repeatable, predictable way to their synaptic inputs, which in awake animals typically have a complicated temporal structure.
520
$a
Here the response of model neurons to fluctuating input currents is studied with tools from dynamical systems theory applied to probability density functions for the state of the neuron. A Liouville-type equation governs the time evolution of the density, and the behavior of peaks in the density is described through the use of a change of coordinates around extrema. The effect of fluctuating input is analyzed in the reduced coordinate system, using white noise, periodic, and random but non-white inputs. The methodological gap between deterministic and stochastic analyses is also discussed.
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In agreement with previous studies, reliable spike timing is induced by a wide range of complex fluctuating inputs, but it is also shown that small modifications of the input can lead to a dramatic loss of reliability. The model further reproduces and explains the temporal variation of reliability seen in several published reports, and illuminates a previously observed resonance condition for small inputs to drive reliable spiking. The formalism presented here applies generally to any phase model for which only the aggregate behavior of a homogeneous population is sought.
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School code: 0017.
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http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3069268
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