PMID- 25998210 OWN - NLM STAT- MEDLINE DCOM- 20160615 LR - 20150917 IS - 1432-0770 (Electronic) IS - 0340-1200 (Linking) VI - 109 IP - 4-5 DP - 2015 Oct TI - Modeling neural activity with cumulative damage distributions. PG - 421-33 LID - 10.1007/s00422-015-0651-9 [doi] AB - Neurons transmit information as action potentials or spikes. Due to the inherent randomness of the inter-spike intervals (ISIs), probabilistic models are often used for their description. Cumulative damage (CD) distributions are a family of probabilistic models that has been widely considered for describing time-related cumulative processes. This family allows us to consider certain deterministic principles for modeling ISIs from a probabilistic viewpoint and to link its parameters to values with biological interpretation. The CD family includes the Birnbaum-Saunders and inverse Gaussian distributions, which possess distinctive properties and theoretical arguments useful for ISI description. We expand the use of CD distributions to the modeling of neural spiking behavior, mainly by testing the suitability of the Birnbaum-Saunders distribution, which has not been studied in the setting of neural activity. We validate this expansion with original experimental and simulated electrophysiological data. FAU - Leiva, Victor AU - Leiva V AD - Faculty of Engineering and Sciences, Universidad Adolfo Ibanez, Vina del Mar, Chile. victorleivasanchez@gmail.com. AD - Institute of Statistics, Universidad de Valparaiso, Valparaiso, Chile. victorleivasanchez@gmail.com. FAU - Tejo, Mauricio AU - Tejo M AD - Faculty of Natural and Exact Sciences, Universidad de Playa Ancha, Valparaiso, Chile. FAU - Guiraud, Pierre AU - Guiraud P AD - Centro de Investigacion y Modelamiento de Fenomenos Aleatorios - Valparaiso, Faculty of Engineering, Universidad de Valparaiso, Valparaiso, Chile. FAU - Schmachtenberg, Oliver AU - Schmachtenberg O AD - Centro Interdisciplinario de Neurociencia de Valparaiso and Institute of Neuroscience, Universidad de Valparaiso, Valparaiso, Chile. FAU - Orio, Patricio AU - Orio P AD - Centro Interdisciplinario de Neurociencia de Valparaiso and Institute of Neuroscience, Universidad de Valparaiso, Valparaiso, Chile. FAU - Marmolejo-Ramos, Fernando AU - Marmolejo-Ramos F AD - Gosta Ekman Laboratory, Department of Psychology, Stockholm University, Stockholm, Sweden. LA - eng PT - Journal Article PT - Research Support, Non-U.S. Gov't PT - Review DEP - 20150522 PL - Germany TA - Biol Cybern JT - Biological cybernetics JID - 7502533 SB - IM MH - Action Potentials/*physiology MH - Animals MH - Computer Simulation MH - Female MH - Humans MH - Male MH - *Models, Neurological MH - Neurons/*physiology MH - Normal Distribution OTO - NOTNLM OT - Birnbaum-Saunders and inverse Gaussian distributions OT - Integrate-and-fire model OT - Inter-spike intervals OT - Maximum likelihood method OT - Model selection and goodness of fit EDAT- 2015/05/23 06:00 MHDA- 2016/06/16 06:00 CRDT- 2015/05/23 06:00 PHST- 2014/05/06 00:00 [received] PHST- 2015/04/20 00:00 [accepted] PHST- 2015/05/23 06:00 [entrez] PHST- 2015/05/23 06:00 [pubmed] PHST- 2016/06/16 06:00 [medline] AID - 10.1007/s00422-015-0651-9 [pii] AID - 10.1007/s00422-015-0651-9 [doi] PST - ppublish SO - Biol Cybern. 2015 Oct;109(4-5):421-33. doi: 10.1007/s00422-015-0651-9. Epub 2015 May 22.