Connections between ∞-Poincaré inequality, quasi-convexity, and N1,∞

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Locally univalent functions, VMOA, and the Dirichlet space

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Segmentation of brain structures in presence of a space-occupying lesion.

Brain deformations induced by space-occupying lesions may result in unpredictable position and shape of functionally important brain structures. The aim of this study is to propose a method for segmentation of brain structures by deformation of a segmented brain atlas in presence of a space-occupying lesion. Our approach is based on an a priori model of lesion growth (MLG) that assumes radial expansion from a seeding point and involves three steps: first, an affine registration bringing the atlas and the patient into global correspondence; then, the seeding of a synthetic tumor into the brain atlas providing a template for the lesion; finally, the deformation of the seeded atlas, combining a method derived from optical flow principles and a model of lesion growth. The method was applied on two meningiomas inducing a pure displacement of the underlying brain structures, and segmentation accuracy of ventricles and basal ganglia was assessed. Results show that the segmented structures were consistent with the patient's anatomy and that the deformation accuracy of surrounding brain structures was highly dependent on the accurate placement of the tumor seeding point. Further improvements of the method will optimize the segmentation accuracy. Visualization of brain structures provides useful information for therapeutic consideration of space-occupying lesions, including surgical, radiosurgical, and radiotherapeutic planning, in order to increase treatment efficiency and prevent neurological damage.

A right to a national space of communication? : on Stateless nations, their right to a space of communication of their own

Hem establert les bases metodològiques i teòriques per investigar la pregunta “Tenen les nacions sense estat el dret de controlar el seu propi espai de comunicació?”. La investigació ajusta el concepte d’espai de comunicació a la teoria política, cercant els seus límits en els drets individuals i, des de la perspectiva del liberalisme 2, aportant la justificació del seu control en quant que plataforma que incideix en la conservació i supervivència d’una cultura nacional. El primer article i fase de la tesi és l’adaptació i definició del concepte espai de comunicació. Fins ara, la recerca ha proposat diferents models d’espai de comunicació entenent si es tracta d’una visió emfatitzant la distribució i la producció de material marcat amb els símbols de la identitat nacional de la societat emissora, o bé si emfatitza la idea d’un espai de circulació de fluxos comunicatiu ajustat a un territori tradicionalment vinculat a una identitat nacional o nació sense estat. Igualment, es distingeix la dimensió d’emissió –sortir del territori al món- i la de recepció –fluxos informatius rebuts des del món al territori, concretament, al ciutadà; el paper d’intervenció de les institucions democràtiques és diferent en una dimensió o una altra i, per tant, també són diferents els drets afectats i les teories o principis que neguen o justifiquen el control de l’espai de comunicació. També s’ha indagat en les teories sobre els efectes cognitius dels mitjans de comunicació per relacionar-los amb la construcció nacional com a cohesió simbòlica i cultural. Si bé els mitjans no poden fer canviar de pensament immediatament, sí que poden conformar a llarg termini una percepció nacional general. Una comunitat és imaginada, donada la distància física dels seus components, i la comunicació social és, juntament amb l’educació, el principal factor de construcció nacional, avui en dia.

Gaussian estimates for the density of the non-linear stochastic heat equation in any space dimension

In this paper, we establish lower and upper Gaussian bounds for the probability density of the mild solution to the stochastic heat equation with multiplicative noise and in any space dimension. The driving perturbation is a Gaussian noise which is white in time with some spatially homogeneous covariance. These estimates are obtained using tools of the Malliavin calculus. The most challenging part is the lower bound, which is obtained by adapting a general method developed by Kohatsu-Higa to the underlying spatially homogeneous Gaussian setting. Both lower and upper estimates have the same form: a Gaussian density with a variance which is equal to that of the mild solution of the corresponding linear equation with additive noise.

Caracterització i conservació d’una població de tortuga de rierol (Mauremys Leprosa) a l’ein del riu Llobregat al terme d’Abrera

S'ha estudiat una població de tortuga de rierol (Mauremys leprosa) present al curs principal del riu Llobregat, al seu pas pel municipi d'Abrera (Baix Llobregat). El tram té una longitud de 4.140 metres de recorregut sinuós, inclòs a l'EIN Riu Llobregat, amb predomini d'albaredes i pollancredes. S'ha caracteritzat el tram de riu segons el tipus de secció que presenta al llarg de l'àrea d'estudi. L'activitat de les tortugues comprèn de mitjans de febrer a mitjans de novembre, sense que s'hagi detectat una disminució a l'estiu. L'ús de l'espai no és uniforme amb una marcada preferència per trams del riu amb una certa fondària i velocitat de l'aigua alentida. S’han capturat 68 tortugues de rierol mitjançant nanses de pesca adaptades i, un cop marcades, s'han alliberat al mateix lloc. Per a cada animal es van obtenir les dades biomètriques i es va determinar el sexe. Mitjançant el mètode de captura-recaptura s'ha estimat la mida de la població en 100 ± 11 individus. La ràtio de sexes de la població és de 2:1 a favor dels mascles. La distribució de classes d'edats permet comprovar que la població està ben estructurada. No s'ha comprovat la reproducció, tot i que el nombre de femelles reproductores és elevat. La falta de captures de nounats i d’individus d'un hivern d’edat, i el baix nombre de juvenils capturats fa pensar que la taxa de reclutament és baixa. La mobilitat dels animals aigües amunt està limitada per la presència de dos assuts a l'àrea d'estudi, la qual cosa compromet la connectivitat de la població dins i fora de l'àrea d'estudi. També s'ha detectat la presència de tortuga de Florida (Trachemys scripta spp.) sense que s'hagi observat cap interacció entre ambdues espècies. Es proposen un seguit de mesures per afavorir la conservació de la tortuga de rierol.

Industrial Location and Space: New Insights

This paper tries to resolve some of the main shortcomings in the empirical literature of location decisions for new plants, i.e. spatial effects and overdispersion. Spatial effects are omnipresent, being a source of overdispersion in the data as well as a factor shaping the functional relationship between the variables that explain a firm’s location decisions. Using Count Data models, empirical researchers have dealt with overdispersion and excess zeros by developments of the Poisson regression model. This study aims to take this a step further, by adopting Bayesian methods and models in order to tackle the excess of zeros, spatial and non-spatial overdispersion and spatial dependence simultaneously. Data for Catalonia is used and location determinants are analysed to that end. The results show that spatial effects are determinant. Additionally, overdispersion is descomposed into an unstructured iid effect and a spatially structured effect. Keywords: Bayesian Analysis, Spatial Models, Firm Location. JEL Classification: C11, C21, R30.

The role of basalt replenishment in the generation of basaltic andesites of the ongoing activity at Arenal volcano, Costa Rica: evidence from clinopyroxene and spinel

The bulk composition of magma erupted from Volcan Arenal has remained nearly constant (SiO2 = 53.6-54.9 wt%; MgO = 5.0-4.5 wt%) during almost 30 years of continuous activity (1969-1996). None the less, clinopyroxene (cpx) phenocrysts and their spinel inclusions record a much more complex open-system evolution in which steady-state production of the erupted basaltic andesitic magma is linked to episodic injections of basalt into Arenal's magma conduit/reservoir system. High-resolution major element zoning profiles (electron microprobe) on a large number of phenocrysts (>14,000 analyses), tied to back-scattered electron (BSE) images, have been used to assess the compositional characteristics of the magmatic end members as well as the timing and dynamics of magma replenishment events. No two cpx phenocrysts have exactly the same zoning profile. The vast majority of our analyses record the crystallization of cpx (Cr2O3 < 0.12 wt%; Mg# = 65-79; Al/Ti = 2-7) from a liquid comparable to or more evolved than erupted magma compositions. However, half of all cpx grains are cored by high-Cr cpx (Cr2O3 = 0.2-0.72 wt%) or contain similar basaltic compositions as abrupt growth bands in phenocrysts with and without high-Cr cores; phenocrysts with high-Cr cpx occur throughout the ongoing activity. In a few cases, high-Cr cpx occurs very near the outer margin of the grain without an apparent growth hiatus, particularly in 1968/69 and 1992/93. The main conclusions are: (1) all basaltic andesitic lavas erupted at Arenal during the ongoing activity that began in July, 1968, are the products of magma mixing, (2) clinopyroxenes record multiple replenishment events of basaltic magma in contrast to the near constancy of erupted bulk compositions, (3) some phenocrysts preserve records of multiple interactions with basaltic magmas requiring magmatic processes to operate on time-scales shorter than residence times of some phenocrysts, (4) multiple occurrences of clinopyroxene with high-Cr rims suggest that basalt replenishment events have occurred with sub-decadal frequency and may predate eruption by months or less. From this we infer that Arenal volcano is underlain by a continuously active, small-volume magmatic reservoir maintained in quasi-steady state by basalt recharge over several decades. The monotony of erupting Arenal magmas implies that fractionation, recharge, ascent, and eruption are well balanced in order for magmas to be essentially uniform while containing phenocrysts with vastly different growth histories at the time of eruption.

A parameter-free approach for solving combinatorial optimization problems through biased randomization of efficient heuristics

This paper discusses the use of probabilistic or randomized algorithms for solving combinatorial optimization problems. Our approach employs non-uniform probability distributions to add a biased random behavior to classical heuristics so a large set of alternative good solutions can be quickly obtained in a natural way and without complex conguration processes. This procedure is especially useful in problems where properties such as non-smoothness or non-convexity lead to a highly irregular solution space, for which the traditional optimization methods, both of exact and approximate nature, may fail to reach their full potential. The results obtained are promising enough to suggest that randomizing classical heuristics is a powerful method that can be successfully applied in a variety of cases.

On the stability of the optimal value and the optimal set in optimization problems

The paper develops a stability theory for the optimal value and the optimal set mapping of optimization problems posed in a Banach space. The problems considered in this paper have an arbitrary number of inequality constraints involving lower semicontinuous (not necessarily convex) functions and one closed abstract constraint set. The considered perturbations lead to problems of the same type as the nominal one (with the same space of variables and the same number of constraints), where the abstract constraint set can also be perturbed. The spaces of functions involved in the problems (objective and constraints) are equipped with the metric of the uniform convergence on the bounded sets, meanwhile in the space of closed sets we consider, coherently, the Attouch-Wets topology. The paper examines, in a unified way, the lower and upper semicontinuity of the optimal value function, and the closedness, lower and upper semicontinuity (in the sense of Berge) of the optimal set mapping. This paper can be seen as a second part of the stability theory presented in [17], where we studied the stability of the feasible set mapping (completed here with the analysis of the Lipschitz-like property).

On Borel equivalence relations in generalized Baire space

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Spin-labeling coronary MR angiography with steady-state free precession and radial k-space sampling: initial results in healthy volunteers.

The purpose of this study was to prospectively compare free-breathing navigator-gated cardiac-triggered three-dimensional steady-state free precession (SSFP) spin-labeling coronary magnetic resonance (MR) angiography performed by using Cartesian k-space sampling with that performed by using radial k-space sampling. A new dedicated placement of the two-dimensional selective labeling pulse and an individually adjusted labeling delay time approved by the institutional review board were used. In 14 volunteers (eight men, six women; mean age, 28.8 years) who gave informed consent, signal-to-noise ratio (SNR), contrast-to-noise ratio (CNR), vessel sharpness, vessel length, and subjective image quality were investigated. Differences between groups were analyzed with nonparametric tests (Wilcoxon, Pearson chi2). Radial imaging, as compared with Cartesian imaging, resulted in a significant reduction in the severity of motion artifacts, as well as an increase in SNR (26.9 vs 12.0, P < .05) in the coronary arteries and CNR (23.1 vs 8.8, P < .05) between the coronary arteries and the myocardium. A tendency toward improved vessel sharpness and vessel length was also found with radial imaging. Radial SSFP imaging is a promising technique for spin-labeling coronary MR angiography.

Medicinal products: regulation of biosynthesis in space and time

We live in a "Demon-Haunted World". Human health care requires the ever increasing resistance of pathogens to be confronted by a correspondingly fast rate of discovery of novel antibiotics. One of the possible strategies towards this objective involves the rational localization of bioactive phytochemicals. The conceptual basis of the method consists in the surprisingly little known gearings of natural products with morphology, ecology and evolution of their plant source, i. e. an introspection into the general mechanisms of nature.

Closure of Space for health - PEL(13)05 (PDF 38KB)

This Professional Estates Letter informs HSC bodies of the closure of the Space for Health information service and the availability of DHSPPS estates and facilities management policy on the DHSSPS website.