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(3) Then f satisfies inequality (2) if and only if u_{x}^{2}+u_{y}^{2}+v_{x}^{2}+v_{y}^{2}-2 alpha u_{x}v_{y}+2alpha u _{y}v_{x}leq0 quad mbox{a.e.} (4) From now on each expression that involves partial derivatives will be true almost everywhere (a.e).

Finally a hierarchical clustering was performed on each expression groups using Euclidian distance and the average linkage method.

The ARTIVA algorithm was run on each expression data set and we compared the proposed network model (selected as described in the previous subsection 'Model selection') with the original one.

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GFP was detectable, confirming the activity of each expression cassette on the satellite vector (Figure S2).

This operation is performed on each gene expression profile, and a total of N × (T- k + 1) slices are formed a gene expression dataset with N genes.

This could result in a feed forward mechanism resulting from the effect of PDK1 and PPARδ on each others expression, and could explain their synergism in tumorigenesis.

For the purpose of survival analyses, all cases were coded based on each miRNA expression levels, using the median value as the cut-off value.

However, the effect of AtHB12 and AtHB7 on each other expression, observed in stable mutants and overexpressors, occurred even when the 35S CaMV promoter was used.

We therefore applied a Student's t-Test (p-value <0.01) on each gene expression meta-profile to identify significant variations between the control meta-group and the DMD meta-group.

PGE was then run on each co-expression group gene list, and regions were reported as significantly enriched localized clusters (LCs) only if the associated enrichment p-value was smaller than the corresponding threshold; nested or overlapping regions were merged.

This indicates that correlations remaining within the network will represent genes whose expression levels can be described as approximately 49% dependent on each other's expression.

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