PMID- 23247418 OWN - NLM STAT- MEDLINE DCOM- 20130626 LR - 20130124 IS - 1432-0770 (Electronic) IS - 0340-1200 (Linking) VI - 107 IP - 1 DP - 2013 Feb TI - On dependency properties of the ISIs generated by a two-compartmental neuronal model. PG - 95-106 LID - 10.1007/s00422-012-0536-0 [doi] AB - One-dimensional leaky integrate and fire neuronal models describe interspike intervals (ISIs) of a neuron as a renewal process and disregarding the neuron geometry. Many multi-compartment models account for the geometrical features of the neuron but are too complex for their mathematical tractability. Leaky integrate and fire two-compartment models seem a good compromise between mathematical tractability and an improved realism. They indeed allow to relax the renewal hypothesis, typical of one-dimensional models, without introducing too strong mathematical difficulties. Here, we pursue the analysis of the two-compartment model studied by Lansky and Rodriguez (Phys D 132:267-286, 1999), aiming of introducing some specific mathematical results used together with simulation techniques. With the aid of these methods, we investigate dependency properties of ISIs for different values of the model parameters. We show that an increase of the input increases the strength of the dependence between successive ISIs. FAU - Benedetto, Elisa AU - Benedetto E AD - Department of Mathematics G. Peano, University of Torino, Via Carlo Alberto 10, 10123 Torino, Italy. elisa.benedetto@unito.it FAU - Sacerdote, Laura AU - Sacerdote L LA - eng PT - Journal Article PT - Research Support, Non-U.S. Gov't DEP - 20121218 PL - Germany TA - Biol Cybern JT - Biological cybernetics JID - 7502533 SB - IM MH - *Models, Theoretical MH - Neurons/*physiology EDAT- 2012/12/19 06:00 MHDA- 2013/06/28 06:00 CRDT- 2012/12/19 06:00 PHST- 2012/05/10 00:00 [received] PHST- 2012/11/12 00:00 [accepted] PHST- 2012/12/19 06:00 [entrez] PHST- 2012/12/19 06:00 [pubmed] PHST- 2013/06/28 06:00 [medline] AID - 10.1007/s00422-012-0536-0 [doi] PST - ppublish SO - Biol Cybern. 2013 Feb;107(1):95-106. doi: 10.1007/s00422-012-0536-0. Epub 2012 Dec 18.