PMID- 30291277 OWN - NLM STAT- MEDLINE DCOM- 20191125 LR - 20191125 IS - 2045-2322 (Electronic) IS - 2045-2322 (Linking) VI - 8 IP - 1 DP - 2018 Oct 5 TI - Mathematical Modeling and Analyses of Interspike-Intervals of Spontaneous Activity in Afferent Neurons of the Zebrafish Lateral Line. PG - 14851 LID - 10.1038/s41598-018-33064-z [doi] LID - 14851 AB - Without stimuli, hair cells spontaneously release neurotransmitter leading to spontaneous generation of action potentials (spikes) in innervating afferent neurons. We analyzed spontaneous spike patterns recorded from the lateral line of zebrafish and found that distributions of interspike intervals (ISIs) either have an exponential shape or an "L" shape that is characterized by a sharp decay but wide tail. ISI data were fitted to renewal-process models that accounted for the neuron refractory periods and hair-cell synaptic release. Modeling the timing of synaptic release using a mixture of two exponential distributions yielded the best fit for our ISI data. Additionally, lateral line ISIs displayed positive serial correlation and appeared to exhibit switching between faster and slower modes of spike generation. This pattern contrasts with previous findings from the auditory system where ISIs tended to have negative serial correlation due to synaptic depletion. We propose that afferent neuron innervation with multiple and heterogenous hair-cells synapses, each influenced by changes in calcium domains, can serve as a mechanism for the random switching behavior. Overall, our analyses provide evidence of how physiological similarities and differences between synapses and innervation patterns in the auditory, vestibular, and lateral line systems can lead to variations in spontaneous activity. FAU - Song, Sangmin AU - Song S AD - Department of Biology and Neuroscience Program, Amherst College, Amherst, MA, 01002, USA. FAU - Lee, Ji Ah AU - Lee JA AD - Department of Mathematics and Statistics, Smith College, Northampton, MA, 01063, USA. FAU - Kiselev, Ilya AU - Kiselev I AD - Department of Biology and Neuroscience Program, Amherst College, Amherst, MA, 01002, USA. FAU - Iyengar, Varun AU - Iyengar V AD - Department of Biology and Neuroscience Program, Amherst College, Amherst, MA, 01002, USA. FAU - Trapani, Josef G AU - Trapani JG AUID- ORCID: 0000-0002-6898-649X AD - Department of Biology and Neuroscience Program, Amherst College, Amherst, MA, 01002, USA. FAU - Tania, Nessy AU - Tania N AUID- ORCID: 0000-0003-4256-2434 AD - Department of Mathematics and Statistics, Smith College, Northampton, MA, 01063, USA. ntania@smith.edu. LA - eng GR - R15 DC014843/DC/NIDCD NIH HHS/United States GR - NSF UBM-1129194/National Science Foundation (NSF)/International GR - NIH R15DC014843/U.S. Department of Health & Human Services | NIH | National Institute on Deafness and Other Communication Disorders (NIDCD)/International GR - 355461/Simons Foundation/International PT - Journal Article PT - Research Support, N.I.H., Extramural PT - Research Support, Non-U.S. Gov't PT - Research Support, U.S. Gov't, Non-P.H.S. DEP - 20181005 PL - England TA - Sci Rep JT - Scientific reports JID - 101563288 SB - IM MH - *Action Potentials MH - Animals MH - Lateral Line System/cytology/*innervation/physiology MH - Models, Neurological MH - Neurons, Afferent/cytology/*physiology MH - Synapses/physiology MH - Zebrafish/*physiology PMC - PMC6173758 COIS- The authors declare no competing interests. EDAT- 2018/10/07 06:00 MHDA- 2019/11/26 06:00 PMCR- 2018/10/05 CRDT- 2018/10/07 06:00 PHST- 2017/09/01 00:00 [received] PHST- 2018/09/21 00:00 [accepted] PHST- 2018/10/07 06:00 [entrez] PHST- 2018/10/07 06:00 [pubmed] PHST- 2019/11/26 06:00 [medline] PHST- 2018/10/05 00:00 [pmc-release] AID - 10.1038/s41598-018-33064-z [pii] AID - 33064 [pii] AID - 10.1038/s41598-018-33064-z [doi] PST - epublish SO - Sci Rep. 2018 Oct 5;8(1):14851. doi: 10.1038/s41598-018-33064-z.