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We validated the ability of XCMS to accurately retrieve labeled metabolites from complex biological matrices both with targeted LC/MS/MS analysis of a subset of the hits identified by the program and with labeled standards spiked into cell extracts.

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Analysis of AMG preconditioning for the SEM discretization of the coupled parabolic-parabolic problem (3a - 3b) will be the object of a future paper, along with a study on the condition numbers of SEM matrices, both unpreconditioned and preconditioned with different methods.

In vivo, tumor cells interact both with extracellular matrix components such as laminin, fibronectin, and collagen and with cells in the tumor stroma.

All analyses of the raw sequence matrices, with both edited and unedited alignments, resulted in trees showing deep relationships consistent with our understanding of the phylogeny of these taxa [36](Figure 2A).

Preliminary evidence showed that, as predicted by Stevens and Clements [43], heterogeneous matrices (with both positive, R and T, and negative, P and S, outcomes) lead to higher cooperation rates as compared to homogeneous, all-reward, matrices (data not shown).

We used the resulting divergence matrices with both neighbor-joining and UPGMA algorithms to make a clustering tree in the program PHYLIP [ 37] and assessed node support using 10,000 bootstrap replicates.

The plots show that for the dependence case the the matrices with both covariance and ML variance estimators have a equal or lower relative error than the matrices with the ML variance only, except for a few cases in the region with a high fraction of anchors.

Furthermore, FC-NIRS allows for individual analysis of a group of participants using the module "quality control" and batch processing analysis in the other modules (i.e., preprocessing, FC calculation, and network analysis), which facilitates the calculation of the FC and network matrices with both high quality control and high efficiency using FC-NIRS.

The approach allows estimation of the channel matrices associated with both hops by resorting to training sequences.

In Figure 1, the diltiazem fraction released in distilled water versus time from DTZ-CRG matrices made with both the complex and the physical mixtures and from DTZ-HPMC matrices is reported.

Preliminary results comparing the ratio of the oxygen signal to the Mg and Al signal versus the concentration ratio for both matrices recorded with the sintered Al samples containing approx. 5 %  m/ m of Mg and with the Mg-sintered samples containing approx. 5 %  m/ m of Al indicate that matrix-independent oxygen calibration may be possible.

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