Published August 2009 | Version v1
Journal article Metadata-only

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

Creators

  • 1. Department of Mathematical Sciences, Rensselaer Polytechnic Institute, 110 8th Street, Troy, New York 12180 (United States)
  • 2. Center for Bioinformatics, National Laboratory of Protein Engineering and Plant Genetics Engineering, College of Life Sciences, Peking University, 5 Summer Palace Road, Beijing 100871 (China)
  • 3. Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York 10012-1185 (United States)
  • 4. Department of Mathematics, Shanghai Jiao Tong University, Dong Chuan Road 800, Shanghai 200240 (China)

Description

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.

Additional details

Identifiers

DOI
10.1103/PhysRevE.80.021904;

Publishing Information

Journal Title
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)
Journal Volume
80
Journal Issue
2
Journal Page Range
p. 021904-021904.15
ISSN
1539-3755

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41075590
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
APPROXIMATIONS; ASYMPTOTIC SOLUTIONS; COMPUTERIZED SIMULATION; FOKKER-PLANCK EQUATION; NEURAL NETWORKS; PROBABILITY DENSITY FUNCTIONS
Descriptors DEC
CALCULATION METHODS; DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; SIMULATION

Optional Information

Notes
(c) 2009 The American Physical Society