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In particular, we will show, the connection between the notion of quasiseparability and the rank profile matrix invariant, that we have introduced in 2015.
Size rank profile of smRNA-Seq data.
The most highly expressed 264 proteins in the cytosolic proteome included many corresponding proteins from H. pylori, but the rank profile in H. mustelae was distinctive.
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Many more genes have similar rank profiles in expression and entropy: For example, H3F3A (histoneone) is just as invariant in rank as in expression of HLA genes, ribosomal genes and several of the hemoglobins.
We then calculate a measure of similarity of two rank profiles for a given shift s: For s ≥ 0: For s < 0: For uniformly random permutations (which will occur for any i.i.d.i.d
We used the GT test [ 22] to rank profiles in three categories: strong (64 clusters with GT > 0.66), medium (803 clusters with 0.33 < GT < 0.66) or weak (2555 cluster with GT < 0.33) differential expression.
Given a set of actual ly considered) fates A, the n-tuple (R1,..., R n) of rankings is called a profile, where each R i is a propensity profile for the individual cell lineages L = { L1,..., L n} over A. A cross-level principle will be encoded by a lineage-tissue mapping, merging the individual propensity rankings into a single ranked profile of propensities for the tissue.
The second method, based on the concept of "enrichment", measures the "signature-profile" similarity by first generating a signature (a short list of top changed genes) from one profile, then applying a nonparametric technique to assess the non-random distribution of these signature genes in another ranked profile, as previously described in the Connectivity Map (CMap) analysis [16].
The remaining patients with a SLEDAI between 4 and 14 displayed an intermediate but clearly ranked profile.
An enrichment score (ES) that reflects the degree to which a pre-defined gene set is overrepresented at the top or bottom rank of the ranked whole transcriptome profile was calculated by walking down the ranked profile.
The merged profiles obtained by Iorio et al. (2010) were used to generate a single gene level ranked profile for each of the 1309 compounds.
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