dorsal/arxiv
View SchemaSwitching Time Statistics for Driven Neuron Models: Analytic Expressions versus Numerics
| Authors | Michael Schindler, Peter Talkner, Peter Hänggi |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0401015 |
| URL | https://arxiv.org/abs/q-bio/0401015 |
| DOI | 10.1103/PhysRevLett.93.048102 |
| Journal | Phys. Rev. Lett 93 (2004) 048102 |
Abstract
Analytical expressions are put forward to investigate the forced spiking activity of abstract neuron models such as the driven leaky integrate-and-fire (LIF) model. The method is valid in a wide parameter regime beyond the restraining limits of weak driving (linear response) and/or weak noise. The novel approximation is based on a discrete state Markovian modeling of the full dynamics with time-dependent rates. The scheme yields very good agreement with numerical Langevin and Fokker-Planck simulations of the full non-stationary dynamics for both, the first-passage time statistics and the interspike interval (residence time) distributions.
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"abstract": "Analytical expressions are put forward to investigate the forced spiking\nactivity of abstract neuron models such as the driven leaky integrate-and-fire\n(LIF) model. The method is valid in a wide parameter regime beyond the\nrestraining limits of weak driving (linear response) and/or weak noise. The\nnovel approximation is based on a discrete state Markovian modeling of the full\ndynamics with time-dependent rates. The scheme yields very good agreement with\nnumerical Langevin and Fokker-Planck simulations of the full non-stationary\ndynamics for both, the first-passage time statistics and the interspike\ninterval (residence time) distributions.",
"arxiv_id": "q-bio/0401015",
"authors": [
"Michael Schindler",
"Peter Talkner",
"Peter H\u00e4nggi"
],
"categories": [
"q-bio.NC",
"cond-mat.dis-nn",
"cond-mat.stat-mech",
"nlin.AO"
],
"doi": "10.1103/PhysRevLett.93.048102",
"journal_ref": "Phys. Rev. Lett 93 (2004) 048102",
"title": "Switching Time Statistics for Driven Neuron Models: Analytic Expressions versus Numerics",
"url": "https://arxiv.org/abs/q-bio/0401015"
},
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