FP and FN discoveries^* by MC, CorSig and Zhu's procedures for different Simulation Data III scenarios.

<p>*Data are presented as FP/FN;</p>Δ<p>Reaching the maximum of FN.</p

Results by CorSig using an adjusted SD on Simulation Data III.

<p>Results by CorSig using an adjusted SD on Simulation Data III.</p

Numbers of variables identified by CorSig with a <i>p</i>-value cutoff of 0.05, using a theoretical value of SD (A), or a fitted value of SD (B), using Simulation Data I.

<p>Numbers of variables identified by CorSig with a <i>p</i>-value cutoff of 0.05, using a theoretical value of SD (A), or a fitted value of SD (B), using Simulation Data I.</p

The observed SD varied according to <i>n</i> and <i>ρ</i>, in sharp contrast to the invariable theoretical SD.

<p>A. The influence of <i>n</i> across nine different <i>ρ</i> values. The nine corresponding theoretical SDs are connected by dotted lines. B. The influence of <i>ρ</i> on the observed SDs (thick lines) across nine <i>n</i> levels. The corresponding theoretical SDs are shown in thin lines.</p

Changes of FP-FN disparity at <i>p</i>-value cutoffs between 0.01 and 0.1 for Simulation Data III.

<p>A–F are for scenarios of <i>τ</i> = 0.2,0.4,0.6,0.8 with n = 5 (A), 10 (B), 20 (C), 50 (D), 100 (E) and 500 (F), respectively. Note the different y-axis scales.</p

Cumulative probability distribution of the <i>p</i>-values calculated using different values of SD.

<p>A is for the <i>n</i> = 5 & <i>τ</i> = 0.2 data scenario and B the <i>n</i> = 5 & <i>τ</i> = 0.8 data scenario.</p

Relationship of <i>p</i>-values and observed <i>r</i>'<i>s</i>.

<p>A is for four cases of <i>n</i> = 20; B is for three cases of <i>τ</i> = 0.6.</p

CEL stratifications of co-expressed genes in <i>Populus</i> microarray data analysis.

<p>A is the simplified flavonoid pathway and B–D are stratifications of co-expressed genes by CEL for seed genes, CHI (B), F3H (C) and BAN2 (D). In B–D, only flavonoid gene names are given, and 5-CEL (CEL = 1, 3, 5, 10 and 15) stratifications are shown for each seed gene.</p

Additional file 1: Table S1. of A regulation probability model-based meta-analysis of multiple transcriptomics data sets for cancer biomarker identification

List of 1655 genes with a negative jGRP statistic meaning a down-regulation in LUAD tissues relative to normal tissues on the three LUAD data sets. Table S2. List of 1626 genes with a positive jGRP statistic meaning a up-regulation in LUAD tissues relative to normal tissues on the three LUAD data sets. Table S3. List of 42 KEGG pathways significantly enriched in the DEG lists of jGRP (τ = 0.7) by DAVID. Table S4. List of 57 KEGG pathways significantly enriched in the DEG lists of Fisher’s by DAVID. Table S5. List of 53 KEGG pathways significantly enriched in the DEG lists of AW by DAVID. Table S6. List of 40 KEGG pathways significantly enriched in the DEG lists of RP by DAVID. Table S7. List of 20 KEGG pathways significantly enriched in the DEG lists of Pooled cor by DAVID. (RAR 259 kb

Third-Order Nonlinear Optical Properties of Endohedral Fullerene (H₂)₂@C₇₀ and (H₂O)₂@C₇₀ Accompanied by the Prospective of Novel (HF)₂@C₇₀

In view of the experimental observation of (H₂)₂@C₇₀ and (H₂O)₂@C₇₀, it has been suggested that hydrogen fluoride (HF) dimer can be completely localized within the sub-nanospace inside the fullerene C₇₀ cage. With the aim of quantum chemical prospective of (HF)₂@C₇₀, electronic structure calculations of C₆₀ hosting H₂, HF, and H₂O monomers, as well as C₇₀ hosting H₂, HF, and H₂O monomers and dimers, were performed by using the density functional theory, together with the quantum theory of atoms in molecules, the natural population, and interaction energy calculation. The F–H···F bonding energy inside C₇₀ was estimated at −13.25 kcal/mol, which is smaller than that of free dimer in the gas phase (−8.37 kcal/mol). Exploration of various featured properties suggests that (HF)₂@C₇₀ may be also regarded as a unique system composed of both inter- and intramolecular interactions like (H₂)₂@C₇₀ and (H₂O)₂@C₇₀. In addition, absorption spectroscopy and linear and nonlinear optical coefficients of C₆₀ hosting H₂, HF, and H₂O monomers, as well as C₇₀ hosting H₂, HF, and H₂O monomers and dimers, have also been forecasted. The results show that there is almost no influence of embedded H₂, HF, and H₂O monomers and dimers on the peak wavelength of absorption spectra for C₆₀ and C₇₀. Endohedral C₇₀ possesses the larger second hyperpolarizabilities with respect to that of endohedral C₆₀, indicating that the effect of cage size is effective in the second hyperpolarizabilities of endohedral fullerenes. The study will benefit not only the designation and the syntheses of the novel molecular (HF)₂@C₇₀ but also the understanding of the structures and properties of endohedral fullerenes