Fokker-Planck description of conductance-based integrate-and-fire neuronal networks.
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.
Kovacic
Gregor
G
Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, New York 12180, USA.
Tao
Louis
L
Rangan
Aaditya V
AV
Cai
David
D
D004553:Electric Conductivity; D007700:Kinetics; D008959:Models, Neurological; D009415:Nerve Net / Q000166:cytology / Q000502:physiology*; D011336:Probability; D011789:Quantum Theory; D015203:Reproducibility of Results; D013569:Synapses / Q000378:metabolism