Software code, data, and videos for A Mathematical Model for Chemo-mechanically Induced Collective Cell Motility on Planar Elastic Substrates

1) MATLAB CODE

Two archives containing Matlab code for simulation with different cases.

• Displacement for collective cells.zip
• Displacement for one motile cell.zip

Common 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.

2) SUPPLEMENTAL VIDEOS

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/µm²s and diffusion rate = 179 µm²/s
• Video V3B: Chemically induced migration of 25 cells with growth factor production rate = 970 mol/µm²s and diffusion rate = 179 µm²/s
• Video V3C: Chemically induced migration of 25 cells with growth factor production rate = 8,000 mol/µm²s and diffusion rate = 179 µm²/s
• Video V4A: Chemically induced migration of 25 cells with growth factor production rate = 8,000 mol/µm²s and diffusion rate = 23 µm²/s
• Video V4B: Chemically induced migration of 25 cells with growth factor production rate = 8,000 mol/µm²s and diffusion rate = 83 µm²/s
• Video V5A: Chemo-mechanically induced migration of 4 cells with growth factor production rate = 60 mol/µm²s and diffusion rate = 179 µm²/s
• Video V5B: Chemo-mechanically induced migration of 4 cells with growth factor production rate = 970 mol/µm²s and diffusion rate = 179 µm²/s
• Video V5C: Chemo-mechanically induced migration of 4 cells with growth factor production rate = 8,000 mol/µm²s and diffusion rate = 179 µm²/s
• Video V6A: Chemo-mechanically induced migration of 4 cells with growth factor production rate = 8,000 mol/µm²s and diffusion rate = 23 µm²/s
• Video V6B: Chemo-mechanically induced migration of 4 cells with growth factor production rate = 8,000 mol/µm²s and diffusion rate = 83 µm²/s
• Video V7A: Chemo-mechanically induced migration of single-cell with growth factor production rate = 60 mol/µm²s and diffusion rate = 179 µm²/s
• Video V7B: Chemo-mechanically induced migration of single-cell with growth factor production rate = 970 mol/µm²s and diffusion rate = 179 µm²/s
• Video V7C: Chemo-mechanically induced migration of single-cell with growth factor production rate = 8,000 mol/µm²s and diffusion rate = 179 µm²/s
• Video V8A: Chemo-mechanically induced migration of single-cell with growth factor production rate = 8,000 mol/µm²s and diffusion rate = 23 µm²/s
• Video V8B: Chemo-mechanically induced migration of single-cell with growth factor production rate = 8,000 mol/µm²s and diffusion rate = 83 µm²/s