By Louis Auslander
Lawsuits of the yank Mathematical Society
Vol. sixteen, No. 6 (Dec., 1965), pp. 1230-1236
Published through: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2035904
Page count number: 7
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Additional resources for An Account of the Theory of Crystallographic Groups
In general, nonadaptive algorithms are preferred over sequential algorithms, with the multistage algorithms with a small number of stages a possible compromise. Green and Olson  considered a human YAC library with n = 23,040 clones and r = 2. YAC clones were grown on nylon filters in rectangular arrays of 384 colonies following inoculation from four 96-well microtiter plates. The yeast cells from each filter are pooled and the DNA is purified, yielding single-filter pools of DNA. Equal aliquots from single-filter pools are mixed together in groups of five to yield multifilter pools, each representing the DNA from 1920 clones.
There is no restriction on the test group until a group is tested to be contaminated. Mark this group the current contaminated group and denote it by c. 2. The next test must be on a group, say G, which is a proper subset of C. If G is contaminated, then G replaces C as the current contaminated group. Otherwise, items in G are classified as good and C\G replaces C as the current contaminated group. 3. If the current contaminated group is of size one, identify the item in the group as defective.
Alleman and C. Chen, Genome m a p p i n g and sequencing, Cold Spring Harbour Conf. New York, 1990, 48.  R. Dorfman, T h e detection of defective m e m b e r s of large populations, Math. Statist. 14 (1943) 436-440. Ann.  G. A. Evans and K. A. Lewis, Physical m a p p i n g of complex genomes by cosmic m u l t i p l e x analysis, Proc. Nat. Acad. Sci. USA 86 (1989) 5030-5034.  E . D . Green and M. V. Olson, S y s t e m a t i c screening of yeast artificial-chromosome libraries by use of t h e polymerase chain reaction, Proc.