The Cellomics fluorescence imaging data was used to quantify the fraction of cells expressing each protein marker independently. In the absence of co-staining information we sought to use the marginal fractions of cells expressing each marker to calculate lower and upper bounds for the fractions of cell estimating all markers simultaneously. Let be the fraction of cells expressing protein marker and the fraction of cells expressing all n markers simultaneously, then this value is bounded by: max(∑i=1nP(Ai)−n+1,0)≤P(⋂i=1nAi≤min(P(A1),…,P(An))
