A NEW CONSTRUCTION FOR POOLING DESIGNS
نویسندگان
چکیده
منابع مشابه
New Construction of Error-Tolerant Pooling Designs
We present a new class of error-tolerant pooling designs by constructing d−disjunct matrices associated with subspaces of a finite vector space.
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The screening of data sets for "positive data objects" is essential to modern technology. A (group) test that indicates whether a positive data object is in a specific subset or pool of the dataset can greatly facilitate the identification of all the positive data objects. A collection of tested pools is called a pooling design. Pooling designs are standard experimental tools in many biotechnic...
متن کاملPooling semilattices and non-adaptive pooling designs
In Huang and Weng (2004), Huang and Weng introduced pooling spaces, and constructed pooling designs from a pooling space. In this paper, we introduce the concept of pooling semilattices and prove that a pooling semilattice is a pooling space, then show how to construct pooling designs from a pooling semilattice. Moreover, we give many examples of pooling semilattices and thus obtain the corresp...
متن کاملPooling spaces and non-adaptive pooling designs
A pooling space is defined to be a ranked partially ordered set with atomic intervals. We show how to construct non-adaptive pooling designs from a pooling space. Our pooling designs are e-error detecting for some e; moreover e can be chosen to be very large compared with the maximal number of defective items. Eight new classes of nonadaptive pooling designs are given, which are related to the ...
متن کاملImproved construction for pooling design
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. (J. Comput. Biol. 13:990–995, 2006).
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2011
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972711002565