The Cellular Potts Model on Disordered Lattices

This is the data package for the publication with the above title. The data to reproduce the figures in the manuscript and the Supplementary information is provided in the folder "Data". In the folder "Simulation", we provide all the C++ codes used for the simulation, and the C++ and Python codes used for data analysis and post processing of the raw data generated by the simulation codes. There are readme.txt files in each folder, that describe what the files are, and how to run different codes. Using the simulation codes, the behavior of the cellular Potts model was studied on three different lattices, i.e., square, hexagonal, and disordered lattices. The disordered lattice was itself generated by performing a large-scale simulation on the square lattice with the simulation parameters in fluid-like regime, and applying Voronoi tessellation to the center of mass of the cells. Then the lack of long-range orientational order was assessed by applying fast Fourier transform to these points, using the package ImageJ. On three different lattices, a surface tension induced phase transition was observed based on the behavior of hexatic order of the cells. Also, the shape of the cells was studied across the transition by applying Voronoi tessellation to the center of mass of cells. All the Voronoi tessellations were done using the package Voro++. There is also a folder which specifically contains the overall comparison between the different studied lattices as well as the related data.