In this study, a discrete in silico model of cell island migration based on random walkMonte-Carlo was constructed to elucidate cell island size effects as observed in previous
work. Also, this study improves theoretical understanding of cell island size effects on
invasiveness.
Results show the model successfully reproduces trends observed in previous work. Trials
using interaction energies ranging from -10 to +100 KBT were conducted. The model is
capable of differentiating attractive interaction energies but lacks differentiability for
repulsive interaction energies which is due to model saturation. Exclusion of cell
proliferation is overcome by a novel procedure, the cell island contour graph method.
Theoretical analysis yields several important findings regarding model construction and
cell island size effects on invasiveness such as model selection frequency and expansion
layer effect. It is concluded that the model in this study is valid and changes in cell island
size affect cell island dynamics.