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The degrees of belief are stored in a storage-efficient manner in a data structure called a canonical link matrix [17].
Our results closely link matrix catabolism with decreased LKB1 and AMPK activities, present in OA, aging, and injured chondrocytes.
It requires data containing attributes of the proteins of interest and a link matrix specifying existing relationships; no further attributes of such relationships are necessary.
In this study, the local stability of the biochemical system was investigated by analyzing the eigenvalues of its Jacobian matrix J given by (7) where NR and L are the reduced stoichiometric matrix and link matrix, respectively [ 30].
The conservations may be removed through matrix decomposition, using a m × m0 link matrix L that relates the complete vector of internal metabolites to the vector of independent metabolites [ 28].
Writing A = N ε' and letting A r denote a m0 × m matrix composed of linearly independent rows of A, the corresponding link matrix is defined as, where '+' denotes the Moore-Penrose pseudoinverse [ 29]; hence A = L·A r.
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Figure 3 shows functional link matrices for several large-scale interaction datasets, including the Treponema network.
Since link matrices ℒ AB are usually very sparse, in practice this will almost always provide an unlinked pair.
So we have three possible functional annotation databases (MIPS, KEGG and GO) and two possible link matrices (MIPS and KEGG), which can be combined.
We used the data of flights and passenger capacities to set up an airport-link matrix and a passenger-capacity matrix.
However, the regression coefficient for order was much smaller than those for the master matrix and of the in- minus out-link matrix (0.08 as compared with 0.26 and 0.20, respectively).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com