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. 2018 Oct 5;8:14851. doi: 10.1038/s41598-018-33064-z

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© The Author(s) 2018

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Long term dependencies between consecutive spikes in lateral-line data and the two-state switching model. (A) Fano factor as a function of counting time for the lateral line data (each curve corresponded to a dataset). (B) Fano factor obtained from simulating the two-state switching model using two different synaptic release time ratios: top: τ_fast = 40 ms, and τ_slow = 80/ms and bottom: τ_fast = 40 ms, and τ_slow = 160/ms. (All other parameter values were fixed: k_sf = 10⁻⁴/ms, p_fast = 0.4, k_fs = k_sf (1 − p_fast)/p_fast, t_abs = 2 ms, and t_rel = 2 ms). (C) SRC(n) at different lag time n (see definition in Eqn 9) for the lateral line data. (D) SRC(n) at different lag time n obtained from simulating the two-state switching model using two different values of switching rates k_sf = 10⁻³/ms in black and k_sf = 10⁻⁴/ms in gray (all other parameter values were fixed: τ_fast = 40 ms, p_fast = 0.4, τ_slow = 200 ms, t_abs = 2 ms, and t_rel = 2 ms). Each dot corresponded to the mean SRC(n) value from simulating 100 trials with each trial consisting of 2000 ISIs).