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We introduce the concept of compactor and a new algorithmic technique, compactor enumeration, that allow us to design fixed parameter algorithms for parameterized counting problems.
Furthermore, the review focuses on approaches beyond CTC enumeration that aim to uncover therapeutically relevant antigens, genomic aberrations, transcriptional profiles and epigenetic alterations of CTCs at a single cell level.
This is a standard problem in graph theory, known as clique enumeration, that can be solved using existing algorithms from the literature [ 28].
The second data-associated issue is the change in the regime for population enumeration that began in 1920, when Japan conducted its first census of its de facto population.
In this paper we introduce a fast and theoretically guranteed method called DENSE (Dense and ENriched Subgraph Enumeration) that can take in as input a biologist's prior knowledge as a set of query proteins and identify all the dense functional modules in a biological network that contain some part of the query vertices.
Jefferson a man so fond of enumeration that he once wrote to a friend that he had "ten and one-half grandchildren, and two and three-fourths great-grandchildren", and that "these fractions will ere long become units"—criticised them for being unclear about how this "apportionment" was to be carried out.
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This was used as a proxy for neighborhood; the neighborhood variables used were the proportion of homeowners in the enumeration district and the proportion of homes in the enumeration district that had the following 4 amenities: hot water, cold water, fixed bath, and toilet.
Our goal in developing the technology described here is to provide a microbial enumeration test that is faster than visual plate counting, but maintains the advantages of the traditional method.
Hence these methods can deliver enumeration results that are substantially higher than the standard plate counting methods.
We develop two directed enumeration algorithms that call the integer programming with isomorphism pruning algorithm of Margot (2007) for the purpose of finding GMA arrays.
Although we do not aim to develop enumeration algorithms that are directly applicable to drug design, this is a future target of our research.
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