DOI: 10.25375/uct.25507387.v1
title: Software code, data, and videos for A Mathematical Model for Chemo-mechanically Induced Collective Cell Motility on Planar Elastic Substrates

description: <b>1) MATLAB CODE</b>Two archives containing Matlab code for simulation with different cases.Displacement for collective cells.zipDisplacement for one motile cell.zipCommon files in all archives and their function:distance.m: A function to compute the strain energy density and the resultant vectors in x and y directions.strain.m: Calculate integration over a specific area.diffusion.m: Calculate the diffusion of the growth factor.Random.m: Calculate the Brownian motion.MCirsqrc.m: Plot cell and growth factor positions.Additional archive-specific files and their function:Archive “Displacement for collective cells.zip”:Growth_Displacement.m: Main code that combines all other functions and calculates cell displacement induced by a growth factor only and combined with mechanical.Rcircles.m: Calculate the initial positions of the cells.Archive “Displacement for one motile cell.zip”:fixed_cell_position.m: Main code that combines all other functions and calculates one motile cell and one stationary cell in chemical and mechanical cues.<b>2) SUPPLEMENTAL VIDEOS</b>Videos showing simulations of cell migration for several cases are reported in manuscript. Video numbers correspond to Figure numbers in the manuscript.Video V3A: Chemically induced migration of 25 cells with growth factor production rate = 60 mol/µm<sup>2</sup>s and diffusion rate = 179<sup> </sup>µm<sup>2</sup>/sVideo V3B: Chemically induced migration of 25 cells with growth factor production rate = 970 mol/µm<sup>2</sup>s and diffusion rate = 179<sup> </sup>µm<sup>2</sup>/sVideo V3C: Chemically induced migration of 25 cells with growth factor production rate = 8,000 mol/µm<sup>2</sup>s and diffusion rate = 179<sup> </sup>µm<sup>2</sup>/sVideo V4A: Chemically induced migration of 25 cells with growth factor production rate = 8,000 mol/µm<sup>2</sup>s and diffusion rate = 23<sup> </sup>µm<sup>2</sup>/sVideo V4B: Chemically induced migration of 25 cells with growth factor production rate = 8,000 mol/µm<sup>2</sup>s and diffusion rate = 83<sup> </sup>µm<sup>2</sup>/sVideo V5A: Chemo-mechanically induced migration of 4 cells with growth factor production rate = 60 mol/µm<sup>2</sup>s and diffusion rate = 179<sup> </sup>µm<sup>2</sup>/sVideo V5B: Chemo-mechanically induced migration of 4 cells with growth factor production rate = 970 mol/µm<sup>2</sup>s and diffusion rate = 179<sup> </sup>µm<sup>2</sup>/sVideo V5C: Chemo-mechanically induced migration of 4 cells with growth factor production rate = 8,000 mol/µm<sup>2</sup>s and diffusion rate = 179<sup> </sup>µm<sup>2</sup>/sVideo V6A: Chemo-mechanically induced migration of 4 cells with growth factor production rate = 8,000 mol/µm<sup>2</sup>s and diffusion rate = 23<sup> </sup>µm<sup>2</sup>/sVideo V6B: Chemo-mechanically induced migration of 4 cells with growth factor production rate = 8,000 mol/µm<sup>2</sup>s and diffusion rate = 83<sup> </sup>µm<sup>2</sup>/sVideo V7A: Chemo-mechanically induced migration of single-cell with growth factor production rate = 60 mol/µm<sup>2</sup>s and diffusion rate = 179<sup> </sup>µm<sup>2</sup>/sVideo V7B: Chemo-mechanically induced migration of single-cell with growth factor production rate = 970 mol/µm<sup>2</sup>s and diffusion rate = 179<sup> </sup>µm<sup>2</sup>/sVideo V7C: Chemo-mechanically induced migration of single-cell with growth factor production rate = 8,000 mol/µm<sup>2</sup>s and diffusion rate = 179<sup> </sup>µm<sup>2</sup>/sVideo V8A: Chemo-mechanically induced migration of single-cell with growth factor production rate = 8,000 mol/µm<sup>2</sup>s and diffusion rate = 23<sup> </sup>µm<sup>2</sup>/sVideo V8B: Chemo-mechanically induced migration of single-cell with growth factor production rate = 8,000 mol/µm<sup>2</sup>s and diffusion rate = 83<sup> </sup>µm<sup>2</sup>/s