PMID- 23966844 OWN - NLM STAT- MEDLINE DCOM- 20140227 LR - 20211021 IS - 1553-7358 (Electronic) IS - 1553-734X (Print) IS - 1553-734X (Linking) VI - 9 IP - 8 DP - 2013 TI - Characteristic effects of stochastic oscillatory forcing on neural firing: analytical theory and comparison to paddlefish electroreceptor data. PG - e1003170 LID - 10.1371/journal.pcbi.1003170 [doi] LID - e1003170 AB - Stochastic signals with pronounced oscillatory components are frequently encountered in neural systems. Input currents to a neuron in the form of stochastic oscillations could be of exogenous origin, e.g. sensory input or synaptic input from a network rhythm. They shape spike firing statistics in a characteristic way, which we explore theoretically in this report. We consider a perfect integrate-and-fire neuron that is stimulated by a constant base current (to drive regular spontaneous firing), along with Gaussian narrow-band noise (a simple example of stochastic oscillations), and a broadband noise. We derive expressions for the nth-order interval distribution, its variance, and the serial correlation coefficients of the interspike intervals (ISIs) and confirm these analytical results by computer simulations. The theory is then applied to experimental data from electroreceptors of paddlefish, which have two distinct types of internal noisy oscillators, one forcing the other. The theory provides an analytical description of their afferent spiking statistics during spontaneous firing, and replicates a pronounced dependence of ISI serial correlation coefficients on the relative frequency of the driving oscillations, and furthermore allows extraction of certain parameters of the intrinsic oscillators embedded in these electroreceptors. FAU - Bauermeister, Christoph AU - Bauermeister C AD - Max-Planck-Institute for the Physics of Complex Systems, Dresden, Germany. FAU - Schwalger, Tilo AU - Schwalger T FAU - Russell, David F AU - Russell DF FAU - Neiman, Alexander B AU - Neiman AB FAU - Lindner, Benjamin AU - Lindner B LA - eng GR - R01 DC004922/DC/NIDCD NIH HHS/United States GR - R01DC04922/DC/NIDCD NIH HHS/United States PT - Journal Article PT - Research Support, N.I.H., Extramural PT - Research Support, Non-U.S. Gov't DEP - 20130815 PL - United States TA - PLoS Comput Biol JT - PLoS computational biology JID - 101238922 SB - IM MH - Action Potentials/physiology MH - Animals MH - Computational Biology MH - Computer Simulation MH - Fishes/*physiology MH - *Models, Neurological MH - Models, Statistical MH - Sensory Receptor Cells/*physiology PMC - PMC3744407 COIS- The authors have declared that no competing interests exist. EDAT- 2013/08/24 06:00 MHDA- 2014/02/28 06:00 PMCR- 2013/08/01 CRDT- 2013/08/23 06:00 PHST- 2012/12/13 00:00 [received] PHST- 2013/06/21 00:00 [accepted] PHST- 2013/08/23 06:00 [entrez] PHST- 2013/08/24 06:00 [pubmed] PHST- 2014/02/28 06:00 [medline] PHST- 2013/08/01 00:00 [pmc-release] AID - PCOMPBIOL-D-12-01957 [pii] AID - 10.1371/journal.pcbi.1003170 [doi] PST - ppublish SO - PLoS Comput Biol. 2013;9(8):e1003170. doi: 10.1371/journal.pcbi.1003170. Epub 2013 Aug 15.