Lognormal distribution of firing time and rate from a single neuron?

Eszter A Kish; Claes-Göran Granqvist; András Dér; Laszlo B Kish

doi:10.1007/s11571-015-9332-6

Lognormal distribution of firing time and rate from a single neuron?

Cogn Neurodyn. 2015 Aug;9(4):459-62. doi: 10.1007/s11571-015-9332-6. Epub 2015 Jan 25.

Authors

Eszter A Kish¹, Claes-Göran Granqvist², András Dér³, Laszlo B Kish⁴

Affiliations

¹ Center for Learning and Memory, 1 University Station, Stop C7000, The University of Texas at Austin, Austin, TX 78712-0805 USA.
² Department of Engineering Sciences, The Ångström Laboratory, Uppsala University, P. O. Box 534, 75121 Uppsala, Sweden.
³ Institute of Biophysics, Biological Research Centre of the Hungarian Academy of Sciences, Temesvári krt. 62, P. O. B. 521, Szeged, 6701 Hungary.
⁴ Department of Electrical and Computer Engineering, Texas A&M University, College Station, TX 77843-3128 USA.

Abstract

Even a single neuron may be able to produce significant lognormal features in its firing statistics due to noise in the charging ion current. A mathematical scheme introduced in advanced nanotechnology is relevant for the analysis of this mechanism in the simplest case, the integrate-and-fire model with white noise in the charging ion current.

Keywords: Inter-spike time statistics; Lognormal distribution; Neural dynamics; Noise in ion channels.