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Signal levels were almost invariably <1000 (Table S2 and Figure S1) and were correspondingly denoted as absent by the Affymetrix algorithm.
The degrees and betweenness centralities of three groups of genes (35 dysregulated genes, 232 candidate genes (the dysregulated genes excluded), all genes (the dysregulated genes excluded) in PPI network) are shown in Figure 3(a) and Figure 3(b) respectively, where three gene groups are correspondingly denoted as 'Dysregulated genes' , 'Candidate genes' and 'All genes'.
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The fact that none of the parent species has been described to perform the oxidation of arsenite indicates that this clade represents a new subclass of molybdopterin-enzymes with hitherto unknown function and we correspondingly denote the catalytic subunits of this clade as as "ArolikeA".
Correspondingly, we denote network capacity (NC) as the sum capacity in the cooperative cluster.
In order to consider the existence of a flip bifurcation of model (2.2), we choose the threshold (V_{L}) as a bifurcation parameter and define (G y, V_{L})={mathcal{P}} y_{i}^)) as the one parameter maps, correspondingly we denote (f y, V_{L})=-frac{p}{b}yexp (-frac{p}{b}y+frac{A_{h}}{b} )).
We set
We denote the latter two local maxima by (lambda_{0} (X ) ) and (lambda_{n+1} (X ) ). (c) The greatest and the smallest local maxima of (L_{n} (X;x ) ) are denoted correspondingly by ({{mathcal {M}}}_{n} (X )) and (m_{n} (X ) ); we denote by (delta _{n} (X ) ) the maximum deviation among the local maxima (delta_{n} (X )={mathcal {M}}_{n} (X )-m_{n} (X ) ).
For numerical purposes, it is convenient to map t ∈ [ 0, P ] to s ∈ [ 0, 1 ] using s = t / P. Correspondingly, let ˙ denote d / d s, such that equation (27) becomes θ ˙ = P ( 1 − cos θ + ( b + γ ( s ) ) ( 1 + cos θ ) ). (29).
The rest peaks at the lower energy side are ascribed to the first and second LO phonon replica of A0X or eA0, which have been denoted in Fig. 3 correspondingly.
The "single" and "first of many" echoes were pooled into one dataset denoted as "first" echoes, and correspondingly, the "single" and "last of many" echoes were pooled into a dataset denoted as "last" echoes.
The obtained samples were denoted as T3, T4, and T5, correspondingly.
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