Cell adhesion provides not only physical linkage but also communication bet
ween the cell and its environment. As such, it is important to many cellula
r functions. Recently, The probability distribution of forming a low number
of specific adhesive bonds in a short-duration contact has been described
(Chesla et at., Biophys. J., 1998, 75:1553-1572). This model assumes that b
inding occurs between a single receptor species and a single ligand species
. However, cell adhesion molecules rarely work alone in physiological setti
ngs. To account for these in vivo situations, we extended the previous mode
l to include concurrent interactions of multiple receptor-ligand species, i
ntroducing the concept of independent binding. Closed-form solutions have b
een obtained for cases where competition is absent or can be neglected. In
two companion papers (Williams et al., Biophys. J., 2000, 79:1858-1866;2000
, 79:1867-1875), the model developed herein has been applied to analyze two
sets of experiments designed such that the validity of the theory was also
tested.