Extrapolation theory for the real interpolation method

We develop an abstract extrapolation theory for the real interpolation method that covers and improves the most recent versions of the celebrated theorems of Yano and Zygmund. As a consequence of our method, we give new endpoint estimates of the embedding Sobolev theorem for an arbitrary domain Omega

Tenascin-W, a new marker of cancer stroma, is elevated in sera of colon and breast cancer patients.

Tenascins are extracellular matrix proteins present during the development of organisms as well as in pathological conditions. Tenascin-W, the fourth and last member of the tenascin family remains the least well-characterized one. Our study aimed to evaluate the potential significance of tenascin-W as cancer biomarker by monitoring its presence in the serum of colorectal and breast cancer patients and its expression in colorectal tumor tissues. To measure serum tenascin-W levels, a sensitive sandwich-ELISA was established. Mean tenascin-W concentration in sera of patients with nonmetastatic colorectal cancer at time of diagnosis was highly increased compared to that of healthy volunteers. A similar tendency was observed for tenascin-C in the same patient cohort. However, the increase was much more striking for tenascin-W. We also detected elevated tenascin-W levels in sera of breast cancer patients. Furthermore, we could show a prominent expression of tenascin-W in extracts from colorectal tumor tissues by immunoblot analysis, whereas tenascin-W was not detectable in the corresponding normal colon mucosa. To confirm the western blot results, we performed immunohistochemistry of frozen sections of the same patients as well as of an additional, independently chosen collection of colorectal cancer tissues. In all cases, similarly to tenascin-C, tenascin-W was detected in the tumor stroma. Our results reveal a clear association between elevated levels of tenascin-W and the presence of cancer. These results warrant further studies to evaluate the potential value of serum and tissue tenascin-W levels as diagnostic, prognostic or monitoring biomarker in colorectal, breast and possibly other solid cancers.

Large deviations for stochastic Volterra equations

This paper is devoted to prove a large-deviation principle for solutions to multidimensional stochastic Volterra equations.

Contributions of fat and protein to the incretin effect of a mixed meal.

Background: The relative contributions of fat and protein to the incretin effect are still largely unknown.Objective: This study assessed the incretin effects elicited by a mixed meal, and by its fat and protein components alone, with the use of a hyperglycemic clamp combined with oral nutrients.Design: Eight healthy volunteers were studied over 6 h after ingestion of a sandwich containing 1) dried meat, butter, and white bread; 2) dried meat alone; 3) butter alone; or 4) no meal (fasting control). Meals were ingested during a hyperglycemic clamp, and the incretin effect was calculated as the increment in plasma insulin after food intake relative to the concentrations observed during the control study.Results: A significant augmentation of postprandial insulin secretion, independent of plasma glycemia, occurred after ingestion of the mixed nutrients and the lipid component of the mixed meal (203 +/- 20.7% and 167.4 +/- 22.9% of control, respectively; both P < 0.05), whereas the protein component did not induce a significant incretin effect (129.0 +/- 7.9% of control; P = 0.6)Conclusions: Fat ingestion, in an amount typical of a standard meal, increases insulin secretion during physiologic hyperglycemia and thus contributes to the incretin effect. In contrast, ingestion of protein typical of normal meals does not contribute to the augmentation of postprandial insulin secretion. This trial was registered at clinicaltrials.gov as NCT00869453.

Anévrismes complexes de l'aorte abdominale: la chirurgie ouverte est-elle obsolète [The complex aortic abdominal aneurysm: is open surgery old fashion?].

Open surgery is still the main treatment of complex abdominal aortic aneurysm. Nevertheless, this approach is associated with major complications and high mortality rate. Therefore the fenestrated endograft has been used to treat the juxtarenal aneurysms. Unfortunately, no randomised controlled study is available to assess the efficacy of such devices. Moreover, the costs are still prohibitive to generalise this approach. Alternative treatments such as chimney or sandwich technique are being evaluated in order to avoid theses disadvantages. The aim of this paper is to present the endovascular approach to treat juxtarenal aneurysm and to emphasize that this option should be used only by highly specialized vascular centres.

Komposiittipakkausrakenteen valmistustekninen selvitys

Diplomityö on tehty Exel Oyj:lle tuotekehityprojektina. Tarkoituksena on kehittää Exel Oyj:n valmistamaa komposiittipakkausrakennetta. Työssä on keskitytty valmistustekniseen selvitykseen komposiittirakenteen teollisen mittakaavan tuotannossa. Työssä selvitettiin erilaisten tuoterakenteiden valmistettavuutta sekä suoritettiin kyseisen tuotteen vaatimusprofiilin mukaisia testejä valituille rakennevaihtoehdoille. Pakkausrakenteelle asetettuja vaatimuksia ovat mm. kuljetusvaatimukset, jotka määräytyvät lähinnä NATO standardien pohjalta. Lisäksi tuotteelta vaaditaan tiettyä pitkäaikaiskestoa käsittelyn kannalta sekä soveltuvuutta vallitseviin ilmasto-olosuhteisiin. Vaatimusten mukaisia ominaisuuksia tutkittiin lisäksi mm. ballistisilla ja mekaanisilla testeillä sekä kaasuläpäisytesteillä. Testien pohjalta voidaan todeta, etteivät perinteisen alipaineinjektoidun komposiittituotteen ballistiset ominaisuudet ole riittävällä tasolla suojatuotetta ajatellen. Ballististen ja mekaanisten testien kesken havaittiin joitain yhtäläisyyksiä ja tämä vaikuttaa olevan nimenomaan mekaanisesti optimoidun komposiitin ominaisuus. DI-työn lopputuloksena on saatu selkeä kuva pakkausrakenteen materiaalivaihtoehtojen soveltuvuudesta kyseiselle tuotteelle. Lisäksi pakkausrakenteelle on ehdotettu neljä erilaista tuotesuunnitelmaan, niiden valmistustekniikat sekä lopputuotteen kustannusarviointi.

Assigning and combining probabilities in single-case studies

There is currently a considerable diversity of quantitative measures available for summarizing the results in single-case studies. Given that the interpretation of some of them is difficult due to the lack of established benchmarks, the current paper proposes an approach for obtaining further numerical evidence on the importance of the results, complementing the substantive criteria, visual analysis, and primary summary measures. This additional evidence consists of obtaining the statistical significance of the outcome when referred to the corresponding sampling distribution. This sampling distribution is formed by the values of the outcomes (expressed as data nonoverlap, R-squared, etc.) in case the intervention is ineffective. The approach proposed here is intended to offer the outcome"s probability of being as extreme when there is no treatment effect without the need for some assumptions that cannot be checked with guarantees. Following this approach, researchers would compare their outcomes to reference values rather than constructing the sampling distributions themselves. The integration of single-case studies is problematic, when different metrics are used across primary studies and not all raw data are available. Via the approach for assigning p values it is possible to combine the results of similar studies regardless of the primary effect size indicator. The alternatives for combining probabilities are discussed in the context of single-case studies pointing out two potentially useful methods one based on a weighted average and the other on the binomial test.

Sparse image reconstruction on the sphere: implications of a new sampling theorem.

We study the impact of sampling theorems on the fidelity of sparse image reconstruction on the sphere. We discuss how a reduction in the number of samples required to represent all information content of a band-limited signal acts to improve the fidelity of sparse image reconstruction, through both the dimensionality and sparsity of signals. To demonstrate this result, we consider a simple inpainting problem on the sphere and consider images sparse in the magnitude of their gradient. We develop a framework for total variation inpainting on the sphere, including fast methods to render the inpainting problem computationally feasible at high resolution. Recently a new sampling theorem on the sphere was developed, reducing the required number of samples by a factor of two for equiangular sampling schemes. Through numerical simulations, we verify the enhanced fidelity of sparse image reconstruction due to the more efficient sampling of the sphere provided by the new sampling theorem.

Contributions of fat protein to the incretin effect of a mixed meal

La régulation de la glycémie est une fonction complexe de l'organisme faisant intervenir de multiples mécanismes. Lors de la prise alimentaire, l'un des mécanismes impliqués dans l'homéostasie glucidique, notamment dans la sécrétion d'insuline, est l'axe entéroinsulaire. En effet, le contact des nutriments avec des cellules spécialisées réparties le long du tractus digestif déclenche la sécrétion d'hormones, appelées incretines, telles que le GLP-1 ou le GIP. Ces hormones gastro-intestinales potentialisent la sécrétion d'insuline (effet incrétine) et sont responsables d'une grande partie de la réponse insulinique à la prise orale de glucose.¦L'importance de ces hormones est particulièrement mise en évidence par des observations faites chez les sujets obèses ayant bénéficié d'une chirurgie bariatrique. En effet, après l'opération, la sensibilité à l'insuline et sa sécrétion sont améliorées chez des patients obèses diabétiques ou intolérants au glucose, alors que le pattern de sécrétion des hormones GI est nettement modifié avec notamment une augmentation de la sécrétion de GLP-1. L'augmentation de la sécrétion de ces hormones pourrait contribuer à l'amélioration de la tolérance glucidique en augmentant la sécrétion d'insuline en réponse à l'apport de nutriments. Cette activation exagérée de l'axe entéro-insulaire pourrait aussi contribuer à la pathogenèse des hypoglycémies postprandiales survenant parfois après un bypass gastrique¦Néanmoins, si le rôle des hormones gastro-intestinales est indubitale, il y a peu de données nous indiquant le rôle respectif des divers macronutriments composant un repas standard dans I'activation de l'axe entéro-insulaire. Dans ce travail, nous avons cherché à préciser le rôle spécifique de la partie lipidique et protéique d'un repas standard.¦Après avoir confirmé l'existence d'un effet incrétine lors de la consommation d'un repas test sous forme d'un sandwich, les résultats que nous avons obtenus montrent que l'ingestion de lipides en quantité correspondant à celle d'un repas standard augmente la sécrétion d'insuline, contribuant ainsi à l'effet incrétine, alors qu'à contrario, l'ingestion de protéines ne provoque pas d'augmentation de l'insulinémie et ainsi ne contribue pas à l'effet incrétine.¦Ces observations pourraient revêtir un intérêt pratique. En effet, la démonstration du rôle prépondérant d'un macronutriment dans l'effet incrétine suivant la prise d'un repas standard pourrait mener à des prescriptions diététiques dans le but d'améliorer le contrôle glycémique chez des patients diabétiques ou de diminuer les hypoglycémies suivant la prise alimentaire chez certains patients ayant bénéficié d'un bypass gastrique. De même, une meilleure compréhension du rôle des hormones incrétines a déjà ouvert de nouvelles perspectives thérapeutiques dans le traitement du diabète de type 2 avec le développement de nouvelles classes de médicaments telles que les analogues du GLP-1 ou les inhibiteurs de sa dégradation.

Diseño de una nave industrial sin uso específico en la localidad de Vilamalla

En el proyecto se ha diseñado una nave industrial teniendo en cuenta la normativa vigente en el sector y una serie de consideraciones realizadas, como la posibilidad de una futua ampliación o la existencia de puente grúa y de un altillo. También se han estudiado las distintas alternativas que nos ofrece el mercado para construir la estructura de la nave industrial, eligiendo el hormigón prefabricado y el panel sandwich de cubierta como los más apropiados para nuetro caso. Finalmente, se ha justificado el conjunto de acciones (cargas) existentes en la nave, el cálculo de las principales piezas de alimentación requerida.

A mathematical study of fuzzy logic; an algebraic approach

Fuzzy set theory and Fuzzy logic is studied from a mathematical point of view. The main goal is to investigatecommon mathematical structures in various fuzzy logical inference systems and to establish a general mathematical basis for fuzzy logic when considered as multi-valued logic. The study is composed of six distinct publications. The first paper deals with Mattila'sLPC+Ch Calculus. THis fuzzy inference system is an attempt to introduce linguistic objects to mathematical logic without defining these objects mathematically.LPC+Ch Calculus is analyzed from algebraic point of view and it is demonstratedthat suitable factorization of the set of well formed formulae (in fact, Lindenbaum algebra) leads to a structure called ET-algebra and introduced in the beginning of the paper. On its basis, all the theorems presented by Mattila and many others can be proved in a simple way which is demonstrated in the Lemmas 1 and 2and Propositions 1-3. The conclusion critically discusses some other issues of LPC+Ch Calculus, specially that no formal semantics for it is given.In the second paper the characterization of solvability of the relational equation RoX=T, where R, X, T are fuzzy relations, X the unknown one, and o the minimum-induced composition by Sanchez, is extended to compositions induced by more general products in the general value lattice. Moreover, the procedure also applies to systemsof equations. In the third publication common features in various fuzzy logicalsystems are investigated. It turns out that adjoint couples and residuated lattices are very often present, though not always explicitly expressed. Some minor new results are also proved.The fourth study concerns Novak's paper, in which Novak introduced first-order fuzzy logic and proved, among other things, the semantico-syntactical completeness of this logic. He also demonstrated that the algebra of his logic is a generalized residuated lattice. In proving that the examination of Novak's logic can be reduced to the examination of locally finite MV-algebras.In the fifth paper a multi-valued sentential logic with values of truth in an injective MV-algebra is introduced and the axiomatizability of this logic is proved. The paper developes some ideas of Goguen and generalizes the results of Pavelka on the unit interval. Our proof for the completeness is purely algebraic. A corollary of the Completeness Theorem is that fuzzy logic on the unit interval is semantically complete if, and only if the algebra of the valuesof truth is a complete MV-algebra. The Compactness Theorem holds in our well-defined fuzzy sentential logic, while the Deduction Theorem and the Finiteness Theorem do not. Because of its generality and good-behaviour, MV-valued logic can be regarded as a mathematical basis of fuzzy reasoning. The last paper is a continuation of the fifth study. The semantics and syntax of fuzzy predicate logic with values of truth in ana injective MV-algerba are introduced, and a list of universally valid sentences is established. The system is proved to be semanticallycomplete. This proof is based on an idea utilizing some elementary properties of injective MV-algebras and MV-homomorphisms, and is purely algebraic.

Effect of Mechanical and Geometric Mismatching on Fatigue and Damage of Welded Joints

The future of high technology welded constructions will be characterised by higher strength materials and improved weld quality with respect to fatigue resistance. The expected implementation of high quality high strength steel welds will require that more attention be given to the issues of crack initiation and mechanical mismatching. Experiments and finite element analyses were performed within the framework of continuum damage mechanics to investigate the effect of mismatching of welded joints on void nucleation and coalescence during monotonic loading. It was found that the damage of undermatched joints mainly occurred in the sandwich layer and the damageresistance of the joints decreases with the decrease of the sandwich layer width. The damage of over-matched joints mainly occurred in the base metal adjacent to the sandwich layer and the damage resistance of the joints increases with thedecrease of the sandwich layer width. The mechanisms of the initiation of the micro voids/cracks were found to be cracking of the inclusions or the embrittled second phase, and the debonding of the inclusions from the matrix. Experimental fatigue crack growth rate testing showed that the fatigue life of under-matched central crack panel specimens is longer than that of over-matched and even-matched specimens. Further investigation by the elastic-plastic finite element analysis indicated that fatigue crack closure, which originated from the inhomogeneousyielding adjacent to the crack tip, played an important role in the fatigue crack propagation. The applicability of the J integral concept to the mismatched specimens with crack extension under cyclic loading was assessed. The concept of fatigue class used by the International Institute of Welding was introduced in the parametric numerical analysis of several welded joints. The effect of weld geometry and load condition on fatigue strength of ferrite-pearlite steel joints was systematically evaluated based on linear elastic fracture mechanics. Joint types included lap joints, angle joints and butt joints. Various combinations of the tensile and bending loads were considered during the evaluation with the emphasis focused on the existence of both root and toe cracks. For a lap joint with asmall lack-of-penetration, a reasonably large weld leg and smaller flank angle were recommended for engineering practice in order to achieve higher fatigue strength. It was found that the fatigue strength of the angle joint depended strongly on the location and orientation of the preexisting crack-like welding defects, even if the joint was welded with full penetration. It is commonly believed that the double sided butt welds can have significantly higher fatigue strength than that of a single sided welds, but fatigue crack initiation and propagation can originate from the weld root if the welding procedure results in a partial penetration. It is clearly shown that the fatigue strength of the butt joint could be improved remarkably by ensuring full penetration. Nevertheless, increasing the fatigue strength of a butt joint by increasing the size of the weld is an uneconomical alternative.

Extreme-value distributions and renormalization group

In the classical theorems of extreme value theory the limits of suitably rescaled maxima of sequences of independent, identically distributed random variables are studied. The vast majority of the literature on the subject deals with affine normalization. We argue that more general normalizations are natural from a mathematical and physical point of view and work them out. The problem is approached using the language of renormalization-group transformations in the space of probability densities. The limit distributions are fixed points of the transformation and the study of its differential around them allows a local analysis of the domains of attraction and the computation of finite-size corrections.

A systematic review of the surgical treatment of large incisional hernia.

PURPOSE: Incisional hernia (IH) is one of the most frequent postoperative complications. Of all patients undergoing IH repair, a vast amount have a hernia which can be defined as a large incisional hernia (LIH). The aim of this study is to identify the preferred technique for LIH repair. METHODS: A systematic review of the literature was performed and studies describing patients with IH with a diameter of 10 cm or a surface of 100 cm2 or more were included. Recurrence hazards per year were calculated for all techniques using a generalized linear model. RESULTS: Fifty-five articles were included, containing 3,945 LIH repairs. Mesh reinforced techniques displayed better recurrence rates and hazards than techniques without mesh reinforcement. Of all the mesh techniques, sublay repair, sandwich technique with sublay mesh and aponeuroplasty with intraperitoneal mesh displayed the best results (recurrence rates of <3.6%, recurrence hazard <0.5% per year). Wound complications were frequent and most often seen after complex LIH repair. CONCLUSIONS: The use of mesh during LIH repair displayed the best recurrence rates and hazards. If possible mesh in sublay position should be used in cases of LIH repair.

A parameterization method for the computation of invariant tori and their whiskers in quasi-periodic maps: explorations and mechanisms for the breakdown of hyperbolicity

In two previous papers [J. Differential Equations, 228 (2006), pp. 530 579; Discrete Contin. Dyn. Syst. Ser. B, 6 (2006), pp. 1261 1300] we have developed fast algorithms for the computations of invariant tori in quasi‐periodic systems and developed theorems that assess their accuracy. In this paper, we study the results of implementing these algorithms and study their performance in actual implementations. More importantly, we note that, due to the speed of the algorithms and the theoretical developments about their reliability, we can compute with confidence invariant objects close to the breakdown of their hyperbolicity properties. This allows us to identify a mechanism of loss of hyperbolicity and measure some of its quantitative regularities. We find that some systems lose hyperbolicity because the stable and unstable bundles approach each other but the Lyapunov multipliers remain away from 1. We find empirically that, close to the breakdown, the distances between the invariant bundles and the Lyapunov multipliers which are natural measures of hyperbolicity depend on the parameters, with power laws with universal exponents. We also observe that, even if the rigorous justifications in [J. Differential Equations, 228 (2006), pp. 530-579] are developed only for hyperbolic tori, the algorithms work also for elliptic tori in Hamiltonian systems. We can continue these tori and also compute some bifurcations at resonance which may lead to the existence of hyperbolic tori with nonorientable bundles. We compute manifolds tangent to nonorientable bundles.