  Formation of organs and specialized tissues in embryonic development requires
migration of cells to specific targets. In some instances, such cells migrate
as a robust cluster. We here explore a recent local approximation of nonlocal
continuum models by Falc\'o, Baker, and Carrillo (2023). We apply their
theoretical results by specifying biologically-based cell-cell interactions,
showing how such cell communication results in an effective
attraction-repulsion Morse potential. We then explore the clustering
instability, the existence and size of the cluster, and its stability. We also
extend their work by investigating the accuracy of the local approximation
relative to the full nonlocal model.
