The effect of cell adhesion on the interpretation of scratch assay data: a non-local model

Scratch assays are affordable methods developed for sampling wound healing in a laboratory setting. Thanks to these assays, it is possible to investigate the dynamical structure of cell migration and proliferation, which play a central role in the healing process of the wound. Johnston et al. (2015, BMC Syst. Biol., 9, 38) use scratch assay data to estimate migration and proliferation parameters in a Fisher-type model. The present study is a new attempt to interpret the same data using a non-local continuum approach that incorporates cell-cell adhesion. The non-local part of our model includes two different force functions representing different types of cell adhesion. Using these functions, we estimate the parameters involved in the diffusive and adhesive motion. The original and our model give similarly good agreement with the experimental data for their respective (optimal) parameter sets but the estimated diffusion coefficients differ significantly between both sets. Consequently, Johnston et al.'s data, and thus their experimental methodology, are incapable of providing guidance on the effect of cell-cell adhesion in wound healing.