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. 2019 Jul 26;9:10845. doi: 10.1038/s41598-019-46926-x

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© The Author(s) 2019

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 for the distributions of fraction of M-cells ρ(p₀) are shown as histograms and the continuous solid lines represent fits by Beta distributions. Top (a), middle (b) and lower (c) panels corresponds to k_EM/k_ME = 0.1, 1 and 10 respectively. In each panel, distributions are shown at various time points, t = 0.1, 1, 10, 20 from left to right. Other parameters are: k_E = 0.2, k_M = 0.1, μ_E = 0.3, μ_M = 0.15.