end{aligned} (4 As just mentioned, we apply Bourgain's interpolation technique to prove restricted weak type estimate at the endpoints.
Since the NWs are readily coated with a thick oxide layer, as mentioned, we apply the FIBID technique in a delicate manner to unambiguously obtain the intrinsic electrical transport properties of the NWs.
We have mentioned that we applied aggregate function among strings in our dataset.
In an attempt to obtain some clarity and verify or disprove the findings from the studies mentioned above, we applied a higher temperature irrigant and activated it throughout the root canal preparation.
Because the biomarkers sVCAM-1 and cytokines are involved in the pathogenesis of severe dengue, as mentioned above, we applied a logistic regression to investigate whether sVCAM-1 isuperioror to the cytokines associated with severe dengue in the acute phase.
To evaluate the above mentioned possibility, we applied our relative GC3 bias values to their results and found that ER-targeted enriched proteins had higher GC3 bias than those dis-enriched proteins (Mann-Whitney test, P < 1e−15; Fig. 1D).
After removing contamination from TruSeq adapters and the low quality portion of the reads using the methods mentioned above, we applied three methods to assemble the transcriptomes: (1) de novo assembly by Trinity [ 37], (2) reference-based assembly by TopHat [ 38] (v2.0.10) and Cufflinks [ 39] (v2.2.1), and (3) reference-guided assembly by Trinity.
As previously mentioned, we could not apply the generalized Zelinka distance using subgraph isomorphism [ 22, 23] because of its infeasible computational complexity and the size of our networks.
It is worth mentioning that we applied MFDA not on raw gene expression data here, but on log fold-changes relative to time point 0. The reason was that we wanted to group genes not on the basis of their absolute expression values, but on the basis of similar response to the stimulus.
When a gradient signal is applied as mentioned, we find that at steady state, all the species except X1 show a graded response which is qualitatively the same (with same gradient features) as the external signal while X1 shows a graded response opposite to that of the signal.
