On the Schoenberg transformations in data analysis: theory and illustrations

The class of Schoenberg transformations, embedding Euclidean distances into higher dimensional Euclidean spaces, is presented, and derived from theorems on positive definite and conditionally negative definite matrices. Original results on the arc lengths, angles and curvature of the transformations are proposed, and visualized on artificial data sets by classical multidimensional scaling. A distance-based discriminant algorithm and a robust multidimensional centroid estimate illustrate the theory, closely connected to the Gaussian kernels of Machine Learning.

Drug-induced linear IgA bullous dermatosis probably induced by furosemide.

Linear IgA bullous dermatosis (LABD) is an autoimmune disease, characterized by linear deposition of IgA along the basement membrane zone. Drug-induced LABD is rare but increasing in frequency. A new case of drug-induced LABD associated with the administration of furosemide is described.

Resting-State Functional Connectivity Emerges from Structurally and Dynamically Shaped Slow Linear Fluctuations.

Brain fluctuations at rest are not random but are structured in spatial patterns of correlated activity across different brain areas. The question of how resting-state functional connectivity (FC) emerges from the brain's anatomical connections has motivated several experimental and computational studies to understand structure-function relationships. However, the mechanistic origin of resting state is obscured by large-scale models' complexity, and a close structure-function relation is still an open problem. Thus, a realistic but simple enough description of relevant brain dynamics is needed. Here, we derived a dynamic mean field model that consistently summarizes the realistic dynamics of a detailed spiking and conductance-based synaptic large-scale network, in which connectivity is constrained by diffusion imaging data from human subjects. The dynamic mean field approximates the ensemble dynamics, whose temporal evolution is dominated by the longest time scale of the system. With this reduction, we demonstrated that FC emerges as structured linear fluctuations around a stable low firing activity state close to destabilization. Moreover, the model can be further and crucially simplified into a set of motion equations for statistical moments, providing a direct analytical link between anatomical structure, neural network dynamics, and FC. Our study suggests that FC arises from noise propagation and dynamical slowing down of fluctuations in an anatomically constrained dynamical system. Altogether, the reduction from spiking models to statistical moments presented here provides a new framework to explicitly understand the building up of FC through neuronal dynamics underpinned by anatomical connections and to drive hypotheses in task-evoked studies and for clinical applications.

Passer d'un modèle de fonctionnement associatif à un modèle institutionnel: une analyse des transformations de l'organisation du travail

Le monde de l'action humanitaire a connu des développements importants durant les dernières décennies. Sur les terrains d'interventions, les crises et les conflits se sont fortement complexifiés, nécessitant la participation de spécialistes de nombreux domaines. Par ailleurs, les volumes financiers générés par les campagnes de dons et mis à disposition par les bailleurs de fonds ont considérablement augmenté. En corollaire de cette croissance financière, les exigences de contrôle et de traçabilité des fonds se sont renforcées. En lien avec ces éléments, le nombre de salariés dans les grandes organisations non gouvernementales a augmenté de manière exponentielle. Une littérature spécifique sur les modalités d'évaluation des performances, le management et le « leadership » des organisations dites du « tiers secteur » a d'ailleurs vu le jour, comme l'illustre la naissance, en 1990, de la revue « Nonprofit Management and Leadership ». Les pays bénéficiaires de l'aide ont également développé des exigences spécifiques envers les projets mis en oeuvre par les ONG. Par des phénomènes de « socialisation des standards occidentaux », ces derniers attendent des acteurs internationaux un certain niveau de qualité des programmes.Pour s'adapter à ces évolutions et répondre aux exigences d'efficacité auxquelles elles sont soumises, les organisations d'aide ont dû se transformer. Les grandes organisations ont ainsi connu durant les dernières décennies un mouvement de professionnalisation de leur structure, les conduisant à se rapprocher d'un modèle de fonctionnement que nous nommerons ici « institutionnel », à savoir formalisé et organisé. Nous employons ici le terme de professionnalisation dans l'appréciation qu'en font les acteurs du milieu humanitaire, à savoir en ce qu'il désigne « les restructurations internes auxquelles leurs organisations font face depuis la fin des années 1980 ». Différents indicateurs de cette professionnalisation au sein des ONG peuvent être identifiés, notamment une plus forte division du travail, le développement de statuts spécifiques, la salarisation croissante des métiers de l'humanitaire ou encore le recours aux fonds publics.Une conséquence également de cette évolution est l'entrée de nouveaux métiers sur la scène humanitaire. À côté des professions traditionnellement à l'origine des ONG (médecins, ingénieurs, juristes, etc.), la complexification et la diversification des tâches a rendu nécessaire de faire appel à des compétences professionnelles spécifiques dans des domaines tels que la communication, l'informatique ou la finance, pour ne citer que quelques exemples. Des connaissances et des pratiques spécifiques en matière de management des ONG se sont développées depuis la fin des années 1990. Le métier de logisticien est apparu, lequel est enseigné dans des structures spécialisées (par exemple par l'association Bioforce en France). Des formations académiques spécialisées dans le domaine de l'humanitaire et de la coopération ont également vu le jour, avec le but affiché de former des professionnels spécialistes de l'humanitaire. On peut par exemple citer le PIAH en Suisse (Programme interdisciniplinaire en action humanitaire, 2011), ou encore les formations dispensées par le CIHC aux États-Unis. [auteur]

Linear relations between writhe and minimal crossing number in Conway families of ideal knots and links

We showed earlier how to predict the writhe of any rational knot or link in its ideal geometric configuration, or equivalently the average of the 3D writhe over statistical ensembles of random configurations of a given knot or link (Cerf and Stasiak 2000 Proc. Natl Acad. Sci. USA 97 3795). There is no general relation between the minimal crossing number of a knot and the writhe of its ideal geometric configuration. However, within individual families of knots linear relations between minimal crossing number and writhe were observed (Katritch et al 1996 Nature 384 142). Here we present a method that allows us to express the writhe as a linear function of the minimal crossing number within Conway families of knots and links in their ideal configuration. The slope of the lines and the shift between any two lines with the same

Linear random knots and their scaling behavior

We present here a nonbiased probabilistic method that allows us to consistently analyze knottedness of linear random walks with up to several hundred noncorrelated steps. The method consists of analyzing the spectrum of knots formed by multiple closures of the same open walk through random points on a sphere enclosing the walk. Knottedness of individual "frozen" configurations of linear chains is therefore defined by a characteristic spectrum of realizable knots. We show that in the great majority of cases this method clearly defines the dominant knot type of a walk, i.e., the strongest component of the spectrum. In such cases, direct end-to-end closure creates a knot that usually coincides with the knot type that dominates the random closure spectrum. Interestingly, in a very small proportion of linear random walks, the knot type is not clearly defined. Such walks can be considered as residing in a border zone of the configuration space of two or more knot types. We also characterize the scaling behavior of linear random knots.

Comparison between a linear ion trap and a triple quadruple MS in the sensitive detection of large peptides at femtomole amounts on column.

In addition to the importance of sample preparation and extract separation, MS detection is a key factor in the sensitive quantification of large undigested peptides. In this article, a linear ion trap MS (LIT-MS) and a triple quadrupole MS (TQ-MS) have been compared in the detection of large peptides at subnanomolar concentrations. Natural brain natriuretic peptide, C-peptide, substance P and D-Junk-inhibitor peptide, a full D-amino acid therapeutic peptide, were chosen. They were detected by ESI and simultaneous MS(1) and MS(2) acquisitions. With direct peptide infusion, MS(2) spectra revealed that fragmentation was peptide dependent, milder on the LIT-MS and required high collision energies on the TQ-MS to obtain high-intensity product ions. Peptide adsorption on surfaces was overcome and peptide dilutions ranging from 0.1 to 25 nM were injected onto an ultra high-pressure LC system with a 1 mm id analytical column and coupled with the MS instruments. No difference was observed between the two instruments when recording in LC-MS(1) acquisitions. However, in LC-MS(2) acquisitions, a better sensitivity in the detection of large peptides was observed with the LIT-MS. Indeed, with the three longer peptides, the typical fragmentation in the TQ-MS resulted in a dramatic loss of sensitivity (> or = 10x).

A general linear relaxometry model of R1 using imaging data.

PURPOSE: The longitudinal relaxation rate (R1 ) measured in vivo depends on the local microstructural properties of the tissue, such as macromolecular, iron, and water content. Here, we use whole brain multiparametric in vivo data and a general linear relaxometry model to describe the dependence of R1 on these components. We explore a) the validity of having a single fixed set of model coefficients for the whole brain and b) the stability of the model coefficients in a large cohort. METHODS: Maps of magnetization transfer (MT) and effective transverse relaxation rate (R2 *) were used as surrogates for macromolecular and iron content, respectively. Spatial variations in these parameters reflected variations in underlying tissue microstructure. A linear model was applied to the whole brain, including gray/white matter and deep brain structures, to determine the global model coefficients. Synthetic R1 values were then calculated using these coefficients and compared with the measured R1 maps. RESULTS: The model's validity was demonstrated by correspondence between the synthetic and measured R1 values and by high stability of the model coefficients across a large cohort. CONCLUSION: A single set of global coefficients can be used to relate R1 , MT, and R2 * across the whole brain. Our population study demonstrates the robustness and stability of the model. Magn Reson Med, 2014. © 2014 The Authors. Magnetic Resonance in Medicine published by Wiley Periodicals, Inc. Magn Reson Med 73:1309-1314, 2015. © 2014 Wiley Periodicals, Inc.