# Data for Mathematical Model of Mechanosensing and Mechanically Induced Collective Motility of Cells on Planar Elastic Substrates

dataset
posted on 08.08.2022, 10:31 authored by Riham Ahmed, Tamer Abdalrahman, Fred Vermolen

### MATLAB CODE

Three archives containing Matlab code for simulation with different cases.

• Displacement with uniform substrate.zip
• Displacement with variable substrate elasticity.zip
• Displacement with variable substrate thickness.zip

Common files in all archives and their function:

• circle.m: Draw a single cell like a complete circle.
• circles.m: Calculate the initial positions of the cells.
• Mcircles.m: Plot cell positions.
• Random.m: Calculate the Brownian motion.

Additional archive specific files and their function:

Archive “Displacement with uniform substrate.zip”:

• Displacement.m: Main code that combines all other functions and calculates cell displacement on uniform substrate (i.e. with constant elasticity and thickness).
• distance.m: A function to compute the strain energy density and the resultant vectors in x and y directions.

Archive “Displacement with variable substrate elasticity.zip”:

• Migration_with_different_substrate_elasticity.m: Main code that combines all functions to calculate cell displacement on a substrate with variable elastic modulus and constant thickness.
• Elasticity.m: A function to calculate the strain energy density with two different substrate elastic modulus and a constant substrate thickness.

Archive “Displacement with variable substrate thickness.zip”:

• Migration_with_different_substrate_thickness.m: Main code that combines the other functions to calculate cell displacement on a substrate with variable thickness and constant elastic modulus.
• Thickness.m: A function to calculate the strain energy density with two different substrate thickness and constant substrate elastic modulus.

### SUPPLEMENTAL VIDEOS

Videos showing simulations of cell migration for cases reported in the manuscript. Video numbers correspond to Figure numbers in the manuscript.

• Video V4A: Collective motility of 25 cells on uniform substrate with deterministic motion
• Video V4B: Collective motility of 25 cells on uniform substrate with random motion
• Video V6A: Motility of 4 cells with deterministic motion on substrate with regionally varying elastic modulus
• Video V6B: Motility of 15 cells with deterministic motion on substrate with regionally varying elastic modulus
• Video V7A: Motility of 4 cells with deterministic motion on substrate with regionally varying thickness
• Video V7B: Motility of 15 cells with deterministic motion on substrate with regionally varying thickness
• Video V8A: Motility of 45 cells with deterministic motion on uniform substrate with cell death
• Video V8B: Motility of 45 cells with deterministic motion on uniform substrate with cell division
• Video V8C: Motility of 45 cells with deterministic motion on uniform substrate with cell death and division
• Video V8D: Motility of 45 cells with random motion on uniform substrate with cell death and division (there is no corresponding figure in the manuscript)

## Department/Unit

Department of Human Biology University of Cape Town

## Exports

figshare. credit for all your research.