Fokker-planck description of conductance-based integrate-and-fire neuronal networks

Gregor Kovačič; Louis Tao; Aaditya V. Rangan; David Cai

doi:10.1103/PhysRevE.80.021904

Fokker-planck description of conductance-based integrate-and-fire neuronal networks

Gregor Kovačič, Louis Tao, Aaditya V. Rangan, David Cai

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Steady dynamics of coupled conductance-based integrate-and-fire neuronal networks in the limit of small fluctuations is studied via the equilibrium states of a Fokker-Planck equation. An asymptotic approximation for the membrane-potential probability density function is derived and the corresponding gain curves are found. Validity conditions are discussed for the Fokker-Planck description and verified via direct numerical simulations.

Original language	English (US)
Article number	021904
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	80
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevE.80.021904
State	Published - Aug 6 2009

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

Access to Document

10.1103/PhysRevE.80.021904

Cite this

@article{3ab1da6519d24eeea7f07a274a1c0baf,

title = "Fokker-planck description of conductance-based integrate-and-fire neuronal networks",

abstract = "Steady dynamics of coupled conductance-based integrate-and-fire neuronal networks in the limit of small fluctuations is studied via the equilibrium states of a Fokker-Planck equation. An asymptotic approximation for the membrane-potential probability density function is derived and the corresponding gain curves are found. Validity conditions are discussed for the Fokker-Planck description and verified via direct numerical simulations.",

author = "Gregor Kova{\v c}i{\v c} and Louis Tao and Rangan, {Aaditya V.} and David Cai",

year = "2009",

month = aug,

day = "6",

doi = "10.1103/PhysRevE.80.021904",

language = "English (US)",

volume = "80",

journal = "Physical Review E - Statistical, Nonlinear, and Soft Matter Physics",

issn = "1539-3755",

publisher = "American Physical Society",

number = "2",

}

TY - JOUR

T1 - Fokker-planck description of conductance-based integrate-and-fire neuronal networks

AU - Kovačič, Gregor

AU - Tao, Louis

AU - Rangan, Aaditya V.

AU - Cai, David

PY - 2009/8/6

Y1 - 2009/8/6

N2 - Steady dynamics of coupled conductance-based integrate-and-fire neuronal networks in the limit of small fluctuations is studied via the equilibrium states of a Fokker-Planck equation. An asymptotic approximation for the membrane-potential probability density function is derived and the corresponding gain curves are found. Validity conditions are discussed for the Fokker-Planck description and verified via direct numerical simulations.

AB - Steady dynamics of coupled conductance-based integrate-and-fire neuronal networks in the limit of small fluctuations is studied via the equilibrium states of a Fokker-Planck equation. An asymptotic approximation for the membrane-potential probability density function is derived and the corresponding gain curves are found. Validity conditions are discussed for the Fokker-Planck description and verified via direct numerical simulations.

UR - http://www.scopus.com/inward/record.url?scp=68949170996&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=68949170996&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.80.021904

DO - 10.1103/PhysRevE.80.021904

M3 - Article

C2 - 19792148

AN - SCOPUS:68949170996

SN - 1539-3755

VL - 80

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

IS - 2

M1 - 021904

ER -

Fokker-planck description of conductance-based integrate-and-fire neuronal networks

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this