Two Models of Nonadaptive Group Testing for Designing Screening   Experiments
  We discuss two non-standard models of nonadaptive combinatorial search which develop the conventional disjunct search model for a small number of defective elements contained in a finite ground set or a population. The first model is called a search of defective supersets. The second model is called a search of defective subsets in the presence of inhibitors. For these models, we study the constructive search methods based on the known constructions for the disjunct model. 
A.G. D'yachkov, A.J. Macula, D.C. Torney, P.A. Vilenkin
cs.IT math.IT