Generalized discrete Fourier transform on the base of Lagrange and Hermite interpolation formulas

The article offers several generalizations of Discrete Fourier Transfor

An integrative multi-dimensional genetic and epigenetic strategy to identify aberrant genes and pathways in cancer

<p>Abstract</p> <p>Background</p> <p>Genomics has substantially changed our approach to cancer research. Gene expression profiling, for example, has been utilized to delineate subtypes of cancer, and facilitated derivation of predictive and prognostic signatures. The emergence of technologies for the high resolution and genome-wide description of genetic and epigenetic features has enabled the identification of a multitude of causal DNA events in tumors. This has afforded the potential for large scale integration of genome and transcriptome data generated from a variety of technology platforms to acquire a better understanding of cancer.</p> <p>Results</p> <p>Here we show how multi-dimensional genomics data analysis would enable the deciphering of mechanisms that disrupt regulatory/signaling cascades and downstream effects. Since not all gene expression changes observed in a tumor are causal to cancer development, we demonstrate an approach based on multiple concerted disruption (MCD) analysis of genes that facilitates the rational deduction of aberrant genes and pathways, which otherwise would be overlooked in single genomic dimension investigations.</p> <p>Conclusions</p> <p>Notably, this is the first comprehensive study of breast cancer cells by parallel integrative genome wide analyses of DNA copy number, LOH, and DNA methylation status to interpret changes in gene expression pattern. Our findings demonstrate the power of a multi-dimensional approach to elucidate events which would escape conventional single dimensional analysis and as such, reduce the cohort sample size for cancer gene discovery.</p

Raman characterization and modeling of Cu2ZnSn1-XGeXS4 single crystals grown using chemical vapor transport

Reported in this paper are the results of investigations aimed at Cu2ZnSn1-XGeXS4 single crystals. A detailed study of Raman spectra at room temperature and 80 K for crystals synthesized in two one-type processes was performed. It has been shown that even insignificant temperature fluctuations during the synthesis can cause changes of elemental composition in these compounds. The analysis of the Raman spectra inherent to the grown samples confirms that they crystallize in the kesterite structure. It has been ascertained that, when the Ge content increases, the Raman spectra of Cu2ZnSn1-XGeXS4 show a twomode reconstruction of both full-symmetric bands related with sulfur atom vibration in Sn-S4 and Ge-S4 tetrahedra. These experimental bands have been described by theoretical curves calculated within the framework of a bound oscillator model. Based on this model, one can adequately describe the changes both in the band intensity and frequency position for various elemental compositions