Abstract

Formulas for the slow viscous motion of a sphere in the presence of a solid wall have been used in analyzing the phenomena of cell rolling and adhesion. The established theories, such as the ones by Brenner and his colleagues [1,2,3], address the ideal situation in which both the sphere and the wall are smooth. However, biological cells such as leukocytes have numerous surface protrusions (microvilli). Therefore, the applicability of the theories of smooth spheres to the problem of cell rolling and adhesion needs to be examined. Also, to facilitate the design and analysis of experiments, it is desirable to have a simple solution that can provides some physical insights into the process.

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