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. 2020 Aug 4;10:13121. doi: 10.1038/s41598-020-69962-4

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© The Author(s) 2020

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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Simulation results of the relationship between the dose of the antibiotic and MIC. Simulations were made of treatment every 8 h with a drug (10, 5 and 2.5 µg/ml) of cells with the MIC of 0.8, 1.2 and 1.5 µg/ml of the drug and the changes in the viable cell density observed. Hill function parameters V_MAX = 1.0, V_MIN = − 3.0, κ = 1.0, continuous culture parameters, k = 1, e = 5 × 10^–7, w = 0.5 and C = 1,000 (see the equations in the “Materials and methods” section. See supplemental Figure S2 for the pharmacodynamic Hill functions and the rates of kill bacteria exposed to antibiotics with these Hill function parameters.