How nature discovers rare Turing islands: exploration by common limit cycles

This repository contains Jupyter notebooks to simulate the paper.

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Organisation:

Each notebook contains the code to simulate the data, and generate visualisations from them. The code is annotated to guide the user, as a tutorial. Each notebook (except Supplementary_figure_dimensionality.ipynb) is expected to run independently without the requirement of running other notebooks. Thereby, certain functions will be repeated.

• Figure_2.jpynb - SEF visualisation. Figure 2 data simulation and visualisation.
• Figure_3.jpynb - Discovery of Turing islands. Figure 3 data simulation and visualisation, alongside SFig 1,2,8.
• Figure_4.jpynb - Reproducibility of Turing patterns. Figure 4 data simulation and visualisation, alongside SFig 3
• Figure_5.jpynb - Enhanced reproducibility through French flag gradients. Figure 5 data simulation and visualisation, alongside SFig 7
• Supplementary_figure_dimensionality.jpynb - Effect of dimensionality on limit cycle coupled Turing patterns. SFig 4,5
• Supplementary_figure_multistability.jpynb - Effect of multistability within the system. SFig 6

Requirements:

• Python 3.9 or higher, 8 CPUs.

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Contacts

Prof. Dr. Robert Endres: r.endres@imperial.ac.uk