Analysis of Two-Dimensional Dissociation Constant of Laterally Mobile Cell Adhesion Molecules

We formulate a general analysis to determine the two-dimensional dissociation constant (2D Kd), and use this method to study the interaction of CD2-expressing T cells with glass-supported planar bilayers containing fluorescently labeled CD58, a CD2 counter-receptor. Both CD2 and CD58 are laterally mobile in their respective membranes. Adhesion is indicated by accumulation of CD2 and CD58 in the cell-bilayer contact area; adhesion molecule density and contact area size attain equilibrium within 40 min. The standard (Scatchard) analysis of solution-phase binding is not applicable to the case of laterally mobile adhesion molecules due to the dynamic nature of the interaction. We derive a new binding equation, B/F = [(Nt × f)/(Kd × Scell)] - [(B × p)/Kd], where B and F are bound and free CD58 density in the contact area, respectively; Nt is CD2 molecule number per cell; f is CD2 fractional mobility; Scell is cell surface area; and p is the ratio of contact area at equilibrium to Scell. We use this analysis to determine that the 2D Kd for CD2-CD58 is 5.4–7.6 molecules/μm2. 2D Kd analysis provides a general and quantitative measure of the mechanisms regulating cell-cell adhesion.