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We have developed a highly sensitive immunoassay—called digital ELISA—that is based on the detection of single enzyme-linked immunocomplexes on beads that are sealed in arrays of femtoliter wells. Digital ELISA was designed to be highly efficient in the capturing of target proteins, labeling of these proteins, and their detection in single molecule arrays (SiMoA); in essence, the goal of the assay is to “capture every molecule, detect every molecule”. Here we provide the theoretical basis for the design of this assay derived from simple equations based on bimolecular interactions. Using these equations and knowledge of the concentrations of reagents, the times of interactions, and the on- and off-rates of the molecular interactions for each step of the assay, it is possible to predict the number of immunocomplexes that are formed and detected by SiMoA. The unique ability of SiMoA to count single …