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. 2020 Jan 22;82(2):17. doi: 10.1007/s11538-019-00685-y

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© The Author(s) 2020

Open AccessThis 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 licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence 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 licence, visit http://creativecommons.org/licenses/by/4.0/.

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Fig. 6 — Oscillatory dynamics in the components of the auxin signalling pathway for appropriate rates of PIN membrane localisation. Numerical solution of model (1)–(3) on a regular lattice of cells, with zero-flux boundary conditions, and a parameter set listed in Appendix Table 2 that generates oscillatory dynamics in a single-cell model for auxin-related signalling pathway, a for $λ = 0.05$ PIN concentration is reduced to within physically realistic ranges and single spot cells with oscillating concentrations of auxin and cytoplasmic PIN are generated. b For $λ = 0.5$ the concentration of PIN on cell membranes rises above physically realistic ranges of $\approx 0 - 5 μ$ M and numerical solutions display no oscillatory dynamics (Color figure online)