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Discrete problems arise in the study of combinatorial analysis, quantum physics, chemical reactions, population dynamics, and so forth.
This problem is closely linked with the other branches of combinatorial analysis such as threshold logic, integer matrices, enumeration theory, etc.
Future studies should also test the benefit of combinatorial analysis with other potential markers of HCC, such as des-gamma-carboxy prothrombin as well as to examine how the level of core and outer arm fucosylation varies as a function of anti-cancer treatment.
While it is beyond the scope of this paper to go through detailed analyses of different genes, we believe that this sort of combinatorial analysis and display is extremely useful in assessing the relative importance of different candidate regulatory inputs and their combinations.
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As a consequence, elucidating the mechanisms of substrate cleavage by calpains, requires complex combinatorial analysis of a wide range of amino acid sequences around substrate cleavage sites.
Among them, 62% of protein-coding genes have annotated polyA sites and 35% of transcripts are supported by combinatorial analysis of gene-cluster evolution (CAGE) cluster at the transcriptional start sites (TSSs) (Table 2) [3].
Third, it applies a combinatorial analysis of the power of small groups of Florida voters to influence the 2000 presidential election to demonstrate the discrepancy between their influence compared to those of voters nationwide.
Using combinatorial analysis of expression of the early activation marker CD40L and intracellular cytokines ex vivo, however, we could determine the frequency of CII-specific T cells as well as their cytokine profile at different time points after induction.
Codon optimization resulted in an up to 80-fold increase in recombinant protein accumulation [ 14, 15, 34], while a combinatorial analysis of a variety of endogenous promoters and untranslated regions identified a variety of expression levels, some up to ten times better than others [ 16].
For decades, various families of q-polynomials and q-integral have been investigated rather widely and extensively due mainly to their having been found to be potentially useful in such wide variety of fields as theory of partitions, number theory, combinatorial analysis, finite vector spaces, Lie theory, etc. (cf. [1 27]).
The combinatorial analysis of miRNA-mediated regulation of target genes, miRNA-targeting-specific promoter methylation and differential miRNA expression can help reveal the brain region-specific contributions of miRNAs to brain function and development.
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