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. 2018 Feb 14;8:3043. doi: 10.1038/s41598-018-20709-2

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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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Time dependence of estimated EC₁₀ and EC₅₀ concentrations for each dispersant, with values and 95% confidence bars taken from Table 4. Solids lines are fitted three parameter exponential decay relationships, with shaded areas representing 95% confidence bands based on 1000 iterations of a monte-carlo simulation sampling from gamma distributions fitted to the estimated threshold concentration values and their 95% confidence bands.