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. 2018 Jun 25;8:9612. doi: 10.1038/s41598-018-27748-9

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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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Probabilities of cell size (a) and cell size-at-birth (b) as a function of the division pattern for the case α = 0.1 and N = 20. Bars: numerical simulations; Lines: exact stationary solution. Division pattern color code: red, green, blue, and purple stand for binomial, uniform, inverse binomial, and division by the middle respectively. Notice that some lengths cannot be reached if cells divided by the middle and that the uniform and inverse binomial division patterns leads to almost indistinguishable size statistics. The panels (c and d) show that the average increment is independent of the division pattern and that finite size effects are noticeable as long as m ~ N: (c) N = 20, (d) N = 100; symbols correspond to numerical simulations (same color code as in panels (a and b)) and the black line to the theoretical solution given by Eq. (10) (error bars stand for the standard deviation).