Lognormal distribution of firing time and rate from a single neuron?
  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. 
Eszter A. Kish, Claes-Goran Granqvist, Andras Der, Laszlo B. Kish
physics.bio-ph q-bio.NC