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. 2018 Mar 6;8:4068. doi: 10.1038/s41598-018-22062-w

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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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Sets of neighbours of an individual at different moments in time. The illustration shows the position of a group of particles as they are moved by the flow. We highlight the time-dependent set of neighbours of one particle. The sets of neighbours remain correlated in the frames shown in the upper row. In the lower row, however, the sets of neighbours are uncorrelated from frame to frame.