Pooling designs are used in DNA library screening to efficiently distinguish positive from negative clones, which is fundamental for studying gene functions and many other biological applications. One challenge is to design decoding algorithms for determining whether a clone is positive based on the test outcomes and a binary matrix representing the pools.… (More)
Pooling design is a mathematical tool with many applications in molecular biology, specially to reduce the number of tests for DNA library screening. In this note, we study construction of pooling design and present an improvement to a recent new construction given by Du et al.
A minimization problem that has arisen from the study of non-unique probe selection with group testing technique is as follows: Given a binary matrix, find a d-disjunct submatrix with the minimum number of rows and the same number of columns. We show that when every probe hybridizes to at most two viruses, i.e., every row contains at most two 1s, this… (More)