Abstract
In the present study we investigate the transient conjugation of cell pairs by using a mathematical model. Macromolecules responsible for adhesion (bonds) are assumed to exist in two reversible states, attached and unattached, and exert a force elastic in nature only when they cross-link the two cell surfaces (attached state). Bonds form a link between the two cell surfaces only in the attached form. The unattached bridges are assumed laterally mobile in the plane of the cell membrane. Lateral mobility of attached bonds may be limited by structures on the undersurface of the cell membrane. Using this model we show that the bond density distribution between a cytotoxic T-cell (F-1) and a cancer cell (JY:HLA-A2-B7-DR4, W6) approaches equilibrium within 10 min, the incubation period used in experiments by Sung, K.L.P., L.A. Sung, M. Crimmins, S.J. Burakoff, and S. Chien (1986. Science [Wash. DC]. 234:1405-1408). If the diffusion coefficient of attached bonds is set equal to zero in the computations the model predictions indicate accumulation of bonds at the edge of conjugation. This prediction is consistent with present experimental data on lectin-induced red blood cell aggregation (Vayo, M., R. Skalak, P. Brunn, S. Usami, and S. Chien. 1987. Fed. Proc. 46:1043). It is concluded that significant features of micromanipulation data on specific adhesion can be explained by the diffusivity properties of bonds responsible for adhesion.