A singular value decomposition of a k-way array for a principal component analysis of multiway data, PTA-k

AbstractEmploying a tensorial approach to describe a k-way array, the singular value decomposition of this type of multiarray is established. The algorithm given to attain a singular value, based on a generalization of the transition formulae, has a Gauss-Seidel form. A recursive algorithm leads to the decomposition termed SVD-k. A generalization of the Eckart-Young theorem is introduced by consideration of new rank concepts: the orthogonal rank and the free orthogonal rank. The application of this generalization in data analysis is illustrated by a principal component analysis (PCA) over k modes, termed PTA-k, which conserves most of the properties of a PCA

Nouvelle méthode statistique pour l'analyse de données de ChIP-chip

International audienceLa méthode de Chromatin ImmunoPrecipitation on chip (ChIP on chip ou ChIP-chip) a pour but de détecter les sites de fixation des protéines (généralement des facteurs de transcription) sur la molécule d'ADN. L'analyse statistique des données consiste a rechercher des régions de pics significatifs synonymes de sites de fixation. La méthode que nous avons élaborée est issue de la théorie des valeurs extrêmes et particulièrement de la méthode POT (Peaks Over Threshold). Cette méthode consiste à modéliser les données de queues de distribution, en ne retenant que les valeurs dépassant un certain seuil, elle a la particularité de modéliser d'une part les intensités de dépassement de seuil, mais aussi les positions d'occurrences de ces dépassements de seuil. Cette méthode va nous permettre de déterminer un seuil au delà duquel les pics pourront être considérés comme significatifs

Biogenesis of Pro-senescent Microparticles by Endothelial Colony Forming Cells from Premature Neonates is driven by SIRT1-Dependent Epigenetic Regulation of MKK6.

Senescent cells may exert detrimental effect on microenvironment through the secretion of soluble factors and the release of extracellular vesicles, such as microparticles, key actors in ageing and cardiovascular diseases. We previously reported that sirtuin-1 (SIRT1) deficiency drives accelerated senescence and dysfunction of endothelial colony-forming cells (ECFC) in PT neonates. Because preterm birth (PT) increases the risk for cardiovascular diseases during neonatal period as well as at adulthood, we hypothesized that SIRT1 deficiency could control the biogenesis of microparticles as part of a senescence-associated secretory phenotype (SASP) of PT-ECFC and investigated the related molecular mechanisms. Compared to control ECFC, PT-ECFC displayed a SASP associated with increased release of endothelial microparticles (EMP), mediating a paracrine induction of senescence in naïve endothelial cells. SIRT1 level inversely correlated with EMP release and drives PT-ECFC vesiculation. Global transcriptomic analysis revealed changes in stress response pathways, specifically the MAPK pathway. We delineate a new epigenetic mechanism by which SIRT1 deficiency regulates MKK6/p38 <sup>MAPK</sup> /Hsp27 pathway to promote EMP biogenesis in senescent ECFC. These findings deepen our understanding of the role of ECFC senescence in the disruption of endothelial homeostasis and provide potential new targets towards the control of cardiovascular risk in individuals born preterm