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. 2018 Jan 12;8:657. doi: 10.1038/s41598-017-19083-2

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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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Analysis of the information transfer. The bar plots show the transfer entropy from focal fish to stimulus, and from stimulus to focal fish, along the Y-axis (a), and along the Z-axis (b) (2-Fish: two live zebrafish; XYZ-OL: open-loop condition; X-CL: closed-loop with respect to the X-axis; Y-CL: closed-loop with respect to the Y-axis, Z-CL: closed-loop with respect to the Z-axis; and XYZ-CL: closed loop with respect to all axes). Dollar symbol indicates significance in post-hoc comparisons (p < 0.05) with all the other replica conditions. Octothorpe symbol indicates a significant difference with respect to all the replica conditions at p < 0.01. Double octothorpes symbol indicates a significant difference with respect to conditions XYZ-OL, X-CL and Y-CL at p < 0.01. Asterisk identifies a significant difference in information transfer direction at p < 0.05. Data are represented as average + standard error.