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These are actually connected subsets of the plane.
This is equivalent to saying that connected subsets of the graph represent protein families.
Once the graph structure is built, and all proteins and relationships between them are stored, a graph traversal algorithm explores it and identifies the connected subsets of the graph.
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A component of is meant a maximal connected subset of, that is, a connected subset of which is not contained in any other connected subset of.
For each u ∈ H, the component of a point x ∈ F ( u ) is the union of all the connected subsets of F ( u ) containing x.
For each R ∈ M, the connected component of a point x ∈ Ξ ( R ) is the union of all the connected subsets of Ξ ( R ) containing x.
Then T ∞ is an upper semicontinuous map from C ( J 0, R n ) to the compact connected subsets of C ( R, R n ).
Broadening of this distribution across time indicates that the network is becoming more ingrained, with increasingly highly connected subsets of codes, hence higher z-scores, while pairs that span between these conventional units are thus increasingly perceived as atypical.
However, they did not use actual protein complexes, but those simply assembled by neighboring proteins [ 13] or generated from densely connected subsets of ranked proteins [ 14].
It is obvious that the set (bigcup_{jin J}sigma_{j}) is an arcwise connected subset of S joining the 'upper' vertex (overline{v}^{n}) of S with the 'bottom' (langle{overline{v}^{i}: iin[n-1]} rangle) of S. Since (0in l sigma_{J})), we have that (h_{n} v >0) for the unique vertex of (sigma_{J}) for which (l v =0).
It should also be noted that SOD1 inhibition might have broad-spectrum applicability beyond the RAD54B-specific paradigm presented here, as it is a member of the highly connected subset of SL partner genes described in this study.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com