Abstract
The migration of mammalian blood and tissue cells over surface substrata is mediated by specific biochemical binding and dissociation reactions between cell membrane receptors and complimentary ligands attached to the substratum. Although in a number of systems these receptors and ligand molecules have been isolated and identified, there is a need for a theory capable of predicting the effect of receptor and ligand properties on cell migration behavior. This paper presents a very simple dynamical mathematical model directed toward elucidating the dependence of cell speed on receptor and ligand number densities and receptor—ligand binding constants. Clear theoretical predictions are made, which can be compared to quantitative experimental observations.
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