Lattices for 3-Dimensional Fuzzy Data generated by Fuzzy Galois Connections

Vagueness and high dimensional space data are usual features of current data. The paper is an approach to identify conceptual structures among fuzzy three dimensional data sets in order to get conceptual hierarchy. We propose a fuzzy extension of the Galois connections that allows to demonstrate an isomorphism theorem between fuzzy sets closures which is the basis for generating lattices ordered-sets

Prospective study of insulin-like growth factor-I, insulin-like growth factor-binding protein 3, genetic variants in the IGF1 and IGFBP3 genes and risk of coronary artery disease.

Although experimental studies have suggested that insulin-like growth factor I (IGF-I) and its binding protein IGFBP-3 might have a role in the aetiology of coronary artery disease (CAD), the relevance of circulating IGFs and their binding proteins in the development of CAD in human populations is unclear. We conducted a nested case-control study, with a mean follow-up of six years, within the EPIC-Norfolk cohort to assess the association between circulating levels of IGF-I and IGFBP-3 and risk of CAD in up to 1,013 cases and 2,055 controls matched for age, sex and study enrolment date. After adjustment for cardiovascular risk factors, we found no association between circulating levels of IGF-I or IGFBP-3 and risk of CAD (odds ratio: 0.98 (95% Cl 0.90-1.06) per 1 SD increase in circulating IGF-I; odds ratio: 1.02 (95% Cl 0.94-1.12) for IGFBP-3). We examined associations between tagging single nucleotide polymorphisms (tSNPs) at the IGF1 and IGFBP3 loci and circulating IGF-I and IGFBP-3 levels in up to 1,133 cases and 2,223 controls and identified three tSNPs (rs1520220, rs3730204, rs2132571) that showed independent association with either circulating IGF-I or IGFBP-3 levels. In an assessment of 31 SNPs spanning the IGF1 or IGFBP3 loci, none were associated with risk of CAD in a meta-analysis that included EPIC-Norfolk and eight additional studies comprising up to 9,319 cases and 19,964 controls. Our results indicate that IGF-I and IGFBP-3 are unlikely to be importantly involved in the aetiology of CAD in human populations.

Symmetries of the free Schrödinger equation in the non-commutative plane

We study all the symmetries of the free Schr odinger equation in the non-commu- tative plane. These symmetry transformations form an infinite-dimensional Weyl algebra that appears naturally from a two-dimensional Heisenberg algebra generated by Galilean boosts and momenta. These infinite high symmetries could be useful for constructing non-relativistic interacting higher spin theories. A finite-dimensional subalgebra is given by the Schröodinger algebra which, besides the Galilei generators, contains also the dilatation and the expansion. We consider the quantization of the symmetry generators in both the reduced and extended phase spaces, and discuss the relation between both approaches.

Symmetries of the free Schrödinger equation in the non-commutative plane

We study all the symmetries of the free Schrödinger equation in the non-commu- tative plane. These symmetry transformations form an infinite-dimensional Weyl algebra that appears naturally from a two-dimensional Heisenberg algebra generated by Galilean boosts and momenta. These infinite high symmetries could be useful for constructing non-relativistic interacting higher spin theories. A finite-dimensional subalgebra is given by the Schröodinger algebra which, besides the Galilei generators, contains also the dilatation and the expansion. We consider the quantization of the symmetry generators in both the reduced and extended phase spaces, and discuss the relation between both approaches.

Comparisons of intensity-duration patterns of physical activity in the US, Jamaica and 3 African countries.

BACKGROUND: This difference in how populations living in low-, middle or upper-income countries accumulate daily PA, i.e. patterns and intensity, is an important part in addressing the global PA movement. We sought to characterize objective PA in 2,500 participants spanning the epidemiologic transition. The Modeling the Epidemiologic Transition Study (METS) is a longitudinal study, in 5 countries. METS seeks to define the association between physical activity (PA), obesity and CVD risk in populations of African origin: Ghana (GH), South Africa (SA), Seychelles (SEY), Jamaica (JA) and the US (suburban Chicago). METHODS: Baseline measurements of objective PA, SES, anthropometrics and body composition, were completed on 2,500 men and women, aged 25-45 years. Moderate and vigorous PA (MVPA, min/d) on week and weekend days was explored ecologically, by adiposity status and manual labor. RESULTS: Among the men, obesity prevalence reflected the level of economic transition and was lowest in GH (1.7%) and SA (4.8%) and highest in the US (41%). SA (55%) and US (65%) women had the highest levels of obesity, compared to only 16% in GH. More men and women in developing countries engaged in manual labor and this was reflected by an almost doubling of measured MPVA among the men in GH (45 min/d) and SA (47 min/d) compared to only 28 min/d in the US. Women in GH (25 min/d), SA (21 min/d), JA (20 min/d) and SEY (20 min/d) accumulated significantly more MPVA than women in the US (14 min/d), yet this difference was not reflected by differences in BMI between SA, JA, SEY and US. Moderate PA constituted the bulk of the PA, with no study populations except SA men accumulating > 5 min/d of vigorous PA. Among the women, no sites accumulated >2 min/d of vigorous PA. Overweight/obese men were 22% less likely to engage in manual occupations. CONCLUSION: While there is some association for PA with obesity, this relationship is inconsistent across the epidemiologic transition and suggests that PA policy recommendations should be tailored for each environment.

Ochratoxin A at nanomolar concentration perturbs the homeostasis of neural stem cells in highly differentiated but not in immature three-dimensional brain cell cultures.

Ochratoxin A (OTA), a fungal contaminant of basic food commodities, is known to be highly cytotoxic, but the pathways underlying adverse effects at subcytotoxic concentrations remain to be elucidated. Recent reports indicate that OTA affects cell cycle regulation. Therefore, 3D brain cell cultures were used to study OTA effects on mitotically active neural stem/progenitor cells, comparing highly differentiated cultures with their immature counterparts. Changes in the rate of DNA synthesis were related to early changes in the mRNA expression of neural stem/progenitor cell markers. OTA at 10nM, a concentration below the cytotoxic level, was ineffective in immature cultures, whereas in mature cultures it significantly decreased the rate of DNA synthesis together with the mRNA expression of key transcriptional regulators such as Sox2, Mash1, Hes5, and Gli1; the cell cycle activator cyclin D2; the phenotypic markers nestin, doublecortin, and PDGFRα. These effects were largely prevented by Sonic hedgehog (Shh) peptide (500ngml(-1)) administration, indicating that OTA impaired the Shh pathway and the Sox2 regulatory transcription factor critical for stem cell self-renewal. Similar adverse effects of OTA in vivo might perturb the regulation of stem cell proliferation in the adult brain and in other organs exhibiting homeostatic and/or regenerative cell proliferation.

External validation of the ASTRAL score to predict 3- and 12-month functional outcome in the China National Stroke Registry.

BACKGROUND AND PURPOSE: The ASTRAL score was recently introduced as a prognostic tool for acute ischemic stroke. It predicts 3-month outcome reliably in both the derivation and the validation European cohorts. We aimed to validate the ASTRAL score in a Chinese stroke population and moreover to explore its prognostic value to predict 12-month outcome. METHODS: We applied the ASTRAL score to acute ischemic stroke patients admitted to 132 study sites of the China National Stroke Registry. Unfavorable outcome was assessed as a modified Rankin Scale score >2 at 3 and 12 months. Areas under the curve were calculated to quantify the prognostic value. Calibration was assessed by comparing predicted and observed probability of unfavorable outcome using Pearson correlation coefficient. RESULTS: Among 3755 patients, 1473 (39.7%) had 3-month unfavorable outcome. Areas under the curve for 3 and 12 months were 0.82 and 0.81, respectively. There was high correlation between observed and expected probability of unfavorable 3- and 12-month outcome (Pearson correlation coefficient: 0.964 and 0.963, respectively). CONCLUSIONS: ASTRAL score is a reliable tool to predict unfavorable outcome at 3 and 12 months after acute ischemic stroke in the Chinese population. It is a useful tool that can be readily applied in clinical practice to risk-stratify acute stroke patients.

Value added logistical support service: logistics cost structure and performance in the new concept. Part 3

The aim of this study is to present an Activity-Based Costing spreadsheet tool for analyzing the logistics costs. The tool can be used both by customer-companies and logistics service providers. The study discusses the influence of different activity models on costs. Additionally this paper discusses about the logistical performance across the total supply chain This study is carried out using ananalytical research approach and literature material has been used for supplementing the concerned research approach. Cost structure analysis was based on the theory of activity-based management. This study was outlined to spare part logistics in machine-shop industry. The outlines of logistics services and logisticalperformance discussed in this report are based on the new logistics business concept (LMS-concept), which has been presented earlier in the Valssi-project. Oneof the aims of this study is to increase awareness of different activity modelson logistics costs. The report paints an overall picture about the business environment and requirements for the new logistics concept.

Development of a 3D very high-resolution seismic reflection system for lacustrine settings - a case study over a thrust fault zone in Lake Geneva

Un système efficace de sismique tridimensionnelle (3-D) haute-résolution adapté à des cibles lacustres de petite échelle a été développé. Dans le Lac Léman, près de la ville de Lausanne, en Suisse, des investigations récentes en deux dimension (2-D) ont mis en évidence une zone de faille complexe qui a été choisie pour tester notre système. Les structures observées incluent une couche mince (<40 m) de sédiments quaternaires sub-horizontaux, discordants sur des couches tertiaires de molasse pentées vers le sud-est. On observe aussi la zone de faille de « La Paudèze » qui sépare les unités de la Molasse du Plateau de la Molasse Subalpine. Deux campagnes 3-D complètes, d?environ d?un kilomètre carré, ont été réalisées sur ce site de test. La campagne pilote (campagne I), effectuée en 1999 pendant 8 jours, a couvert 80 profils en utilisant une seule flûte. Pendant la campagne II (9 jours en 2001), le nouveau système trois-flûtes, bien paramétrés pour notre objectif, a permis l?acquisition de données de très haute qualité sur 180 lignes CMP. Les améliorations principales incluent un système de navigation et de déclenchement de tirs grâce à un nouveau logiciel. Celui-ci comprend un contrôle qualité de la navigation du bateau en temps réel utilisant un GPS différentiel (dGPS) à bord et une station de référence près du bord du lac. De cette façon, les tirs peuvent être déclenchés tous les 5 mètres avec une erreur maximale non-cumulative de 25 centimètres. Tandis que pour la campagne I la position des récepteurs de la flûte 48-traces a dû être déduite à partir des positions du bateau, pour la campagne II elle ont pu être calculées précisément (erreur <20 cm) grâce aux trois antennes dGPS supplémentaires placées sur des flotteurs attachés à l?extrémité de chaque flûte 24-traces. Il est maintenant possible de déterminer la dérive éventuelle de l?extrémité des flûtes (75 m) causée par des courants latéraux ou de petites variations de trajet du bateau. De plus, la construction de deux bras télescopiques maintenant les trois flûtes à une distance de 7.5 m les uns des autres, qui est la même distance que celle entre les lignes naviguées de la campagne II. En combinaison avec un espacement de récepteurs de 2.5 m, la dimension de chaque «bin» de données 3-D de la campagne II est de 1.25 m en ligne et 3.75 m latéralement. L?espacement plus grand en direction « in-line » par rapport à la direction «cross-line» est justifié par l?orientation structurale de la zone de faille perpendiculaire à la direction «in-line». L?incertitude sur la navigation et le positionnement pendant la campagne I et le «binning» imprécis qui en résulte, se retrouve dans les données sous forme d?une certaine discontinuité des réflecteurs. L?utilisation d?un canon à air à doublechambre (qui permet d?atténuer l?effet bulle) a pu réduire l?aliasing observé dans les sections migrées en 3-D. Celui-ci était dû à la combinaison du contenu relativement haute fréquence (<2000 Hz) du canon à eau (utilisé à 140 bars et à 0.3 m de profondeur) et d?un pas d?échantillonnage latéral insuffisant. Le Mini G.I 15/15 a été utilisé à 80 bars et à 1 m de profondeur, est mieux adapté à la complexité de la cible, une zone faillée ayant des réflecteurs pentés jusqu?à 30°. Bien que ses fréquences ne dépassent pas les 650 Hz, cette source combine une pénétration du signal non-aliasé jusqu?à 300 m dans le sol (par rapport au 145 m pour le canon à eau) pour une résolution verticale maximale de 1.1 m. Tandis que la campagne I a été acquise par groupes de plusieurs lignes de directions alternées, l?optimisation du temps d?acquisition du nouveau système à trois flûtes permet l?acquisition en géométrie parallèle, ce qui est préférable lorsqu?on utilise une configuration asymétrique (une source et un dispositif de récepteurs). Si on ne procède pas ainsi, les stacks sont différents selon la direction. Toutefois, la configuration de flûtes, plus courtes que pour la compagne I, a réduit la couverture nominale, la ramenant de 12 à 6. Une séquence classique de traitement 3-D a été adaptée à l?échantillonnage à haute fréquence et elle a été complétée par deux programmes qui transforment le format non-conventionnel de nos données de navigation en un format standard de l?industrie. Dans l?ordre, le traitement comprend l?incorporation de la géométrie, suivi de l?édition des traces, de l?harmonisation des «bins» (pour compenser l?inhomogénéité de la couverture due à la dérive du bateau et de la flûte), de la correction de la divergence sphérique, du filtrage passe-bande, de l?analyse de vitesse, de la correction DMO en 3-D, du stack et enfin de la migration 3-D en temps. D?analyses de vitesse détaillées ont été effectuées sur les données de couverture 12, une ligne sur deux et tous les 50 CMP, soit un nombre total de 600 spectres de semblance. Selon cette analyse, les vitesses d?intervalles varient de 1450-1650 m/s dans les sédiments non-consolidés et de 1650-3000 m/s dans les sédiments consolidés. Le fait que l?on puisse interpréter plusieurs horizons et surfaces de faille dans le cube, montre le potentiel de cette technique pour une interprétation tectonique et géologique à petite échelle en trois dimensions. On distingue cinq faciès sismiques principaux et leurs géométries 3-D détaillées sur des sections verticales et horizontales: les sédiments lacustres (Holocène), les sédiments glacio-lacustres (Pléistocène), la Molasse du Plateau, la Molasse Subalpine de la zone de faille (chevauchement) et la Molasse Subalpine au sud de cette zone. Les couches de la Molasse du Plateau et de la Molasse Subalpine ont respectivement un pendage de ~8° et ~20°. La zone de faille comprend de nombreuses structures très déformées de pendage d?environ 30°. Des tests préliminaires avec un algorithme de migration 3-D en profondeur avant sommation et à amplitudes préservées démontrent que la qualité excellente des données de la campagne II permet l?application de telles techniques à des campagnes haute-résolution. La méthode de sismique marine 3-D était utilisée jusqu?à présent quasi-exclusivement par l?industrie pétrolière. Son adaptation à une échelle plus petite géographiquement mais aussi financièrement a ouvert la voie d?appliquer cette technique à des objectifs d?environnement et du génie civil.<br/><br/>An efficient high-resolution three-dimensional (3-D) seismic reflection system for small-scale targets in lacustrine settings was developed. In Lake Geneva, near the city of Lausanne, Switzerland, past high-resolution two-dimensional (2-D) investigations revealed a complex fault zone (the Paudèze thrust zone), which was subsequently chosen for testing our system. Observed structures include a thin (<40 m) layer of subhorizontal Quaternary sediments that unconformably overlie southeast-dipping Tertiary Molasse beds and the Paudèze thrust zone, which separates Plateau and Subalpine Molasse units. Two complete 3-D surveys have been conducted over this same test site, covering an area of about 1 km2. In 1999, a pilot survey (Survey I), comprising 80 profiles, was carried out in 8 days with a single-streamer configuration. In 2001, a second survey (Survey II) used a newly developed three-streamer system with optimized design parameters, which provided an exceptionally high-quality data set of 180 common midpoint (CMP) lines in 9 days. The main improvements include a navigation and shot-triggering system with in-house navigation software that automatically fires the gun in combination with real-time control on navigation quality using differential GPS (dGPS) onboard and a reference base near the lake shore. Shots were triggered at 5-m intervals with a maximum non-cumulative error of 25 cm. Whereas the single 48-channel streamer system of Survey I requires extrapolation of receiver positions from the boat position, for Survey II they could be accurately calculated (error <20 cm) with the aid of three additional dGPS antennas mounted on rafts attached to the end of each of the 24- channel streamers. Towed at a distance of 75 m behind the vessel, they allow the determination of feathering due to cross-line currents or small course variations. Furthermore, two retractable booms hold the three streamers at a distance of 7.5 m from each other, which is the same distance as the sail line interval for Survey I. With a receiver spacing of 2.5 m, the bin dimension of the 3-D data of Survey II is 1.25 m in in-line direction and 3.75 m in cross-line direction. The greater cross-line versus in-line spacing is justified by the known structural trend of the fault zone perpendicular to the in-line direction. The data from Survey I showed some reflection discontinuity as a result of insufficiently accurate navigation and positioning and subsequent binning errors. Observed aliasing in the 3-D migration was due to insufficient lateral sampling combined with the relatively high frequency (<2000 Hz) content of the water gun source (operated at 140 bars and 0.3 m depth). These results motivated the use of a double-chamber bubble-canceling air gun for Survey II. A 15 / 15 Mini G.I air gun operated at 80 bars and 1 m depth, proved to be better adapted for imaging the complexly faulted target area, which has reflectors dipping up to 30°. Although its frequencies do not exceed 650 Hz, this air gun combines a penetration of non-aliased signal to depths of 300 m below the water bottom (versus 145 m for the water gun) with a maximum vertical resolution of 1.1 m. While Survey I was shot in patches of alternating directions, the optimized surveying time of the new threestreamer system allowed acquisition in parallel geometry, which is preferable when using an asymmetric configuration (single source and receiver array). Otherwise, resulting stacks are different for the opposite directions. However, the shorter streamer configuration of Survey II reduced the nominal fold from 12 to 6. A 3-D conventional processing flow was adapted to the high sampling rates and was complemented by two computer programs that format the unconventional navigation data to industry standards. Processing included trace editing, geometry assignment, bin harmonization (to compensate for uneven fold due to boat/streamer drift), spherical divergence correction, bandpass filtering, velocity analysis, 3-D DMO correction, stack and 3-D time migration. A detailed semblance velocity analysis was performed on the 12-fold data set for every second in-line and every 50th CMP, i.e. on a total of 600 spectra. According to this velocity analysis, interval velocities range from 1450-1650 m/s for the unconsolidated sediments and from 1650-3000 m/s for the consolidated sediments. Delineation of several horizons and fault surfaces reveal the potential for small-scale geologic and tectonic interpretation in three dimensions. Five major seismic facies and their detailed 3-D geometries can be distinguished in vertical and horizontal sections: lacustrine sediments (Holocene) , glaciolacustrine sediments (Pleistocene), Plateau Molasse, Subalpine Molasse and its thrust fault zone. Dips of beds within Plateau and Subalpine Molasse are ~8° and ~20°, respectively. Within the fault zone, many highly deformed structures with dips around 30° are visible. Preliminary tests with 3-D preserved-amplitude prestack depth migration demonstrate that the excellent data quality of Survey II allows application of such sophisticated techniques even to high-resolution seismic surveys. In general, the adaptation of the 3-D marine seismic reflection method, which to date has almost exclusively been used by the oil exploration industry, to a smaller geographical as well as financial scale has helped pave the way for applying this technique to environmental and engineering purposes.<br/><br/>La sismique réflexion est une méthode d?investigation du sous-sol avec un très grand pouvoir de résolution. Elle consiste à envoyer des vibrations dans le sol et à recueillir les ondes qui se réfléchissent sur les discontinuités géologiques à différentes profondeurs et remontent ensuite à la surface où elles sont enregistrées. Les signaux ainsi recueillis donnent non seulement des informations sur la nature des couches en présence et leur géométrie, mais ils permettent aussi de faire une interprétation géologique du sous-sol. Par exemple, dans le cas de roches sédimentaires, les profils de sismique réflexion permettent de déterminer leur mode de dépôt, leurs éventuelles déformations ou cassures et donc leur histoire tectonique. La sismique réflexion est la méthode principale de l?exploration pétrolière. Pendant longtemps on a réalisé des profils de sismique réflexion le long de profils qui fournissent une image du sous-sol en deux dimensions. Les images ainsi obtenues ne sont que partiellement exactes, puisqu?elles ne tiennent pas compte de l?aspect tridimensionnel des structures géologiques. Depuis quelques dizaines d?années, la sismique en trois dimensions (3-D) a apporté un souffle nouveau à l?étude du sous-sol. Si elle est aujourd?hui parfaitement maîtrisée pour l?imagerie des grandes structures géologiques tant dans le domaine terrestre que le domaine océanique, son adaptation à l?échelle lacustre ou fluviale n?a encore fait l?objet que de rares études. Ce travail de thèse a consisté à développer un système d?acquisition sismique similaire à celui utilisé pour la prospection pétrolière en mer, mais adapté aux lacs. Il est donc de dimension moindre, de mise en oeuvre plus légère et surtout d?une résolution des images finales beaucoup plus élevée. Alors que l?industrie pétrolière se limite souvent à une résolution de l?ordre de la dizaine de mètres, l?instrument qui a été mis au point dans le cadre de ce travail permet de voir des détails de l?ordre du mètre. Le nouveau système repose sur la possibilité d?enregistrer simultanément les réflexions sismiques sur trois câbles sismiques (ou flûtes) de 24 traces chacun. Pour obtenir des données 3-D, il est essentiel de positionner les instruments sur l?eau (source et récepteurs des ondes sismiques) avec une grande précision. Un logiciel a été spécialement développé pour le contrôle de la navigation et le déclenchement des tirs de la source sismique en utilisant des récepteurs GPS différentiel (dGPS) sur le bateau et à l?extrémité de chaque flûte. Ceci permet de positionner les instruments avec une précision de l?ordre de 20 cm. Pour tester notre système, nous avons choisi une zone sur le Lac Léman, près de la ville de Lausanne, où passe la faille de « La Paudèze » qui sépare les unités de la Molasse du Plateau et de la Molasse Subalpine. Deux campagnes de mesures de sismique 3-D y ont été réalisées sur une zone d?environ 1 km2. Les enregistrements sismiques ont ensuite été traités pour les transformer en images interprétables. Nous avons appliqué une séquence de traitement 3-D spécialement adaptée à nos données, notamment en ce qui concerne le positionnement. Après traitement, les données font apparaître différents faciès sismiques principaux correspondant notamment aux sédiments lacustres (Holocène), aux sédiments glacio-lacustres (Pléistocène), à la Molasse du Plateau, à la Molasse Subalpine de la zone de faille et la Molasse Subalpine au sud de cette zone. La géométrie 3-D détaillée des failles est visible sur les sections sismiques verticales et horizontales. L?excellente qualité des données et l?interprétation de plusieurs horizons et surfaces de faille montrent le potentiel de cette technique pour les investigations à petite échelle en trois dimensions ce qui ouvre des voies à son application dans les domaines de l?environnement et du génie civil.

Hormonal regulation of (Na+,K+)-ATPase biosynthesis in the toad bladder. Effect of aldosterone and 3,5,3'-triiodo-L-thyronine.

Aldosterone stimulates transepithelial Na+ transport in the toad bladder, and thyroid hormone antagonizes this mineralocorticoid action. In the present study, we assessed the influence of these two hormones on the biosynthesis of (Na+,K+)ATPase, the major driving force of Na+ transport. Rates of enzyme synthesis were estimated by immunoprecipitation with monospecific alpha (96,000 daltons) and beta (60,000 daltons) subunit antibodies. After a 30-min pulse of intact tissue with [35S]methionine, the anti-alpha-serum recognized the 96,000-dalton alpha subunit and the anti-beta-serum, a 42,000-dalton protein, in total cell extracts. The biosynthesis rates of both these proteins were increased 2.8- and 2.4-fold respectively, over controls by 80 nM aldosterone after 18 h of hormone treatment. The hormonal effect was not apparent up to 3 h of incubation and was dose dependent between 0.2 and 20 nM aldosterone. The hormonal induction was antagonized by spironolactone (500-fold excess) but not by amiloride. The action of aldosterone thus seems to be a receptor-mediated process and a primary event independent of the Na+ permeability of the apical membrane. Thyroid hormone, on the other hand, had no effect on either basal or aldosterone-stimulated synthesis rates of both enzyme proteins. The results demonstrate a direct effect of aldosterone on gene expression of the (Na+,K+)-ATPase. Ultimately, this phenomenon could be linked to the late mineralocorticoid action of this hormone. On the other hand, thyroid hormone, in contrast to the situation in mammals, does not stimulate de novo enzyme synthesis in amphibia. Neither can the antimineralocorticoid action of thyroid hormone in the toad bladder be explained by an inhibition of the (Na+,K+)-ATPase synthesis.

Intravoxel incoherent motion diffusion-weighted imaging in the liver: comparison of mono-, bi- and tri-exponential modelling at 3.0-T.

PURPOSE: To determine whether a mono-, bi- or tri-exponential model best fits the intravoxel incoherent motion (IVIM) diffusion-weighted imaging (DWI) signal of normal livers. MATERIALS AND METHODS: The pilot and validation studies were conducted in 38 and 36 patients with normal livers, respectively. The DWI sequence was performed using single-shot echoplanar imaging with 11 (pilot study) and 16 (validation study) b values. In each study, data from all patients were used to model the IVIM signal of normal liver. Diffusion coefficients (Di ± standard deviations) and their fractions (fi ± standard deviations) were determined from each model. The models were compared using the extra sum-of-squares test and information criteria. RESULTS: The tri-exponential model provided a better fit than both the bi- and mono-exponential models. The tri-exponential IVIM model determined three diffusion compartments: a slow (D1 = 1.35 ± 0.03 × 10(-3) mm(2)/s; f1 = 72.7 ± 0.9 %), a fast (D2 = 26.50 ± 2.49 × 10(-3) mm(2)/s; f2 = 13.7 ± 0.6 %) and a very fast (D3 = 404.00 ± 43.7 × 10(-3) mm(2)/s; f3 = 13.5 ± 0.8 %) diffusion compartment [results from the validation study]. The very fast compartment contributed to the IVIM signal only for b values ≤15 s/mm(2) CONCLUSION: The tri-exponential model provided the best fit for IVIM signal decay in the liver over the 0-800 s/mm(2) range. In IVIM analysis of normal liver, a third very fast (pseudo)diffusion component might be relevant. KEY POINTS: ? For normal liver, tri-exponential IVIM model might be superior to bi-exponential ? A very fast compartment (D = 404.00 ± 43.7 × 10 (-3)  mm (2) /s; f = 13.5 ± 0.8 %) is determined from the tri-exponential model ? The compartment contributes to the IVIM signal only for b ≤ 15 s/mm (2.)

Quaternary active tectonic structures in the offshore Bajo Segura basin (SE Iberian Peninsula Mediterranean Sea).

The Bajo Segura fault zone (BSFZ) is the northern terminal splay of the Eastern Betic shear zone (EBSZ), a large left-lateral strike-slip fault system of sigmoid geometry stretching more than 450 km from Alicante to Almería. The BSFZ extends from the onshore Bajo Segura basin further into the Mediterranean Sea and shows a moderate instrumental seismic activity characterized by small earthquakes. Nevertheless, the zone was affected by large historical earthquakes of which the largest was the 1829 Torrevieja earthquake (IEMS98 X). The onshore area of the BSFZ is marked by active transpressive structures (faults and folds), whereas the offshore area has been scarcely explored from the tectonic point of view. During the EVENT-SHELF cruise, a total of 10 high-resolution single-channel seismic sparker profiles were obtained along and across the offshore Bajo Segura basin. Analysis of these profiles resulted in (a) the identification of 6 Quaternary seismo-stratigraphic units bounded by five horizons corresponding to regional erosional surfaces related to global sea level lowstands; and (b) the mapping of the active sub-seafloor structures and their correlation with those described onshore. Moreover, the results suggest that the Bajo Segura blind thrust fault or the Torrevieja left-lateral strike-slip fault, with prolongation offshore, could be considered as the source of the 1829 Torrevieja earthquake. These data improve our understanding of present deformation along the BSFZ and provide new insights into the seismic hazard in the area.