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. 2023 Jul 21;9:35. doi: 10.1038/s41540-023-00298-1

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© The Author(s) 2023

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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Fig. 6 — a Growth behavior for several values of the growth exponent β when fixing initial and final volumes and times. The growth exponent gives information about the shape of the curves. b Growth behavior for the same values of the growth exponent β than in a when fixing initial volumes and α. c Growth behavior when fixing β = 1 and the initial volume, showing different growth curves with different α but the same exponent. d Growth behavior when fixing β = 5 and the initial volume, showing different growth curves with different values of α.