914 resultados para Projections onto convex sets
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Tractography is a class of algorithms aiming at in vivo mapping the major neuronal pathways in the white matter from diffusion magnetic resonance imaging (MRI) data. These techniques offer a powerful tool to noninvasively investigate at the macroscopic scale the architecture of the neuronal connections of the brain. However, unfortunately, the reconstructions recovered with existing tractography algorithms are not really quantitative even though diffusion MRI is a quantitative modality by nature. As a matter of fact, several techniques have been proposed in recent years to estimate, at the voxel level, intrinsic microstructural features of the tissue, such as axonal density and diameter, by using multicompartment models. In this paper, we present a novel framework to reestablish the link between tractography and tissue microstructure. Starting from an input set of candidate fiber-tracts, which are estimated from the data using standard fiber-tracking techniques, we model the diffusion MRI signal in each voxel of the image as a linear combination of the restricted and hindered contributions generated in every location of the brain by these candidate tracts. Then, we seek for the global weight of each of them, i.e., the effective contribution or volume, such that they globally fit the measured signal at best. We demonstrate that these weights can be easily recovered by solving a global convex optimization problem and using efficient algorithms. The effectiveness of our approach has been evaluated both on a realistic phantom with known ground-truth and in vivo brain data. Results clearly demonstrate the benefits of the proposed formulation, opening new perspectives for a more quantitative and biologically plausible assessment of the structural connectivity of the brain.
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Personalization in e-learning allows the adaptation of contents, learning strategiesand educational resources to the competencies, previous knowledge or preferences of the student. This project takes a multidisciplinary perspective for devising standards-based personalization capabilities into virtual e-learning environments, focusing on the conceptof adaptive learning itinerary, using reusable learning objects as the basis of the system and using ontologies and semantic web technologies.
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Aitchison and Bacon-Shone (1999) considered convex linear combinations ofcompositions. In other words, they investigated compositions of compositions, wherethe mixing composition follows a logistic Normal distribution (or a perturbationprocess) and the compositions being mixed follow a logistic Normal distribution. Inthis paper, I investigate the extension to situations where the mixing compositionvaries with a number of dimensions. Examples would be where the mixingproportions vary with time or distance or a combination of the two. Practicalsituations include a river where the mixing proportions vary along the river, or acrossa lake and possibly with a time trend. This is illustrated with a dataset similar to thatused in the Aitchison and Bacon-Shone paper, which looked at how pollution in aloch depended on the pollution in the three rivers that feed the loch. Here, I explicitlymodel the variation in the linear combination across the loch, assuming that the meanof the logistic Normal distribution depends on the river flows and relative distancefrom the source origins
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In several computer graphics areas, a refinement criterion is often needed to decide whether to goon or to stop sampling a signal. When the sampled values are homogeneous enough, we assume thatthey represent the signal fairly well and we do not need further refinement, otherwise more samples arerequired, possibly with adaptive subdivision of the domain. For this purpose, a criterion which is verysensitive to variability is necessary. In this paper, we present a family of discrimination measures, thef-divergences, meeting this requirement. These convex functions have been well studied and successfullyapplied to image processing and several areas of engineering. Two applications to global illuminationare shown: oracles for hierarchical radiosity and criteria for adaptive refinement in ray-tracing. Weobtain significantly better results than with classic criteria, showing that f-divergences are worth furtherinvestigation in computer graphics. Also a discrimination measure based on entropy of the samples forrefinement in ray-tracing is introduced. The recursive decomposition of entropy provides us with a naturalmethod to deal with the adaptive subdivision of the sampling region
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This paper presents the implementation details of a coded structured light system for rapid shape acquisition of unknown surfaces. Such techniques are based on the projection of patterns onto a measuring surface and grabbing images of every projection with a camera. Analyzing the pattern deformations that appear in the images, 3D information of the surface can be calculated. The implemented technique projects a unique pattern so that it can be used to measure moving surfaces. The structure of the pattern is a grid where the color of the slits are selected using a De Bruijn sequence. Moreover, since both axis of the pattern are coded, the cross points of the grid have two codewords (which permits to reconstruct them very precisely), while pixels belonging to horizontal and vertical slits have also a codeword. Different sets of colors are used for horizontal and vertical slits, so the resulting pattern is invariant to rotation. Therefore, the alignment constraint between camera and projector considered by a lot of authors is not necessary
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A joint distribution of two discrete random variables with finite support can be displayed as a two way table of probabilities adding to one. Assume that this table hasn rows and m columns and all probabilities are non-null. This kind of table can beseen as an element in the simplex of n · m parts. In this context, the marginals areidentified as compositional amalgams, conditionals (rows or columns) as subcompositions. Also, simplicial perturbation appears as Bayes theorem. However, the Euclideanelements of the Aitchison geometry of the simplex can also be translated into the tableof probabilities: subspaces, orthogonal projections, distances.Two important questions are addressed: a) given a table of probabilities, which isthe nearest independent table to the initial one? b) which is the largest orthogonalprojection of a row onto a column? or, equivalently, which is the information in arow explained by a column, thus explaining the interaction? To answer these questionsthree orthogonal decompositions are presented: (1) by columns and a row-wise geometric marginal, (2) by rows and a columnwise geometric marginal, (3) by independenttwo-way tables and fully dependent tables representing row-column interaction. Animportant result is that the nearest independent table is the product of the two (rowand column)-wise geometric marginal tables. A corollary is that, in an independenttable, the geometric marginals conform with the traditional (arithmetic) marginals.These decompositions can be compared with standard log-linear models.Key words: balance, compositional data, simplex, Aitchison geometry, composition,orthonormal basis, arithmetic and geometric marginals, amalgam, dependence measure,contingency table
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BACKGROUND: The evolutionary lineage leading to the teleost fish underwent a whole genome duplication termed FSGD or 3R in addition to two prior genome duplications that took place earlier during vertebrate evolution (termed 1R and 2R). Resulting from the FSGD, additional copies of genes are present in fish, compared to tetrapods whose lineage did not experience the 3R genome duplication. Interestingly, we find that ParaHox genes do not differ in number in extant teleost fishes despite their additional genome duplication from the genomic situation in mammals, but they are distributed over twice as many paralogous regions in fish genomes. RESULTS: We determined the DNA sequence of the entire ParaHox C1 paralogon in the East African cichlid fish Astatotilapia burtoni, and compared it to orthologous regions in other vertebrate genomes as well as to the paralogous vertebrate ParaHox D paralogons. Evolutionary relationships among genes from these four chromosomal regions were studied with several phylogenetic algorithms. We provide evidence that the genes of the ParaHox C paralogous cluster are duplicated in teleosts, just as it had been shown previously for the D paralogon genes. Overall, however, synteny and cluster integrity seems to be less conserved in ParaHox gene clusters than in Hox gene clusters. Comparative analyses of non-coding sequences uncovered conserved, possibly co-regulatory elements, which are likely to contain promoter motives of the genes belonging to the ParaHox paralogons. CONCLUSION: There seems to be strong stabilizing selection for gene order as well as gene orientation in the ParaHox C paralogon, since with a few exceptions, only the lengths of the introns and intergenic regions differ between the distantly related species examined. The high degree of evolutionary conservation of this gene cluster's architecture in particular - but possibly clusters of genes more generally - might be linked to the presence of promoter, enhancer or inhibitor motifs that serve to regulate more than just one gene. Therefore, deletions, inversions or relocations of individual genes could destroy the regulation of the clustered genes in this region. The existence of such a regulation network might explain the evolutionary conservation of gene order and orientation over the course of hundreds of millions of years of vertebrate evolution. Another possible explanation for the highly conserved gene order might be the existence of a regulator not located immediately next to its corresponding gene but further away since a relocation or inversion would possibly interrupt this interaction. Different ParaHox clusters were found to have experienced differential gene loss in teleosts. Yet the complete set of these homeobox genes was maintained, albeit distributed over almost twice the number of chromosomes. Selection due to dosage effects and/or stoichiometric disturbance might act more strongly to maintain a modal number of homeobox genes (and possibly transcription factors more generally) per genome, yet permit the accumulation of other (non regulatory) genes associated with these homeobox gene clusters.
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Given the very large amount of data obtained everyday through population surveys, much of the new research again could use this information instead of collecting new samples. Unfortunately, relevant data are often disseminated into different files obtained through different sampling designs. Data fusion is a set of methods used to combine information from different sources into a single dataset. In this article, we are interested in a specific problem: the fusion of two data files, one of which being quite small. We propose a model-based procedure combining a logistic regression with an Expectation-Maximization algorithm. Results show that despite the lack of data, this procedure can perform better than standard matching procedures.
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Chemosensation is the detection of chemical signals in the environment that enable an animal to make informed decisions about food choice, mate preference or predator detection. Dissecting the molecular and neural mechanisms by which animals detect chemical cues is an important goal towards understanding how they interact with the environment. An attractive system to dissect the mechanisms of chemosensation is the olfactory system. One of the most-investigated olfactory systems is that of Drosophila melanogaster, a model organism that is amenable to a powerful combination of genetic and physiological analyses. Embedded within the antennal olfactory organ of Drosophila is an unusual sensory structure called the sacculus. The sacculus is comprised of three distinct chambers, each lined with several sensilla housing two to three neurons. Previous morphological, anatomical and surgical studies of sacculus neurons have implicated sacculus neurons in chemosensation, hygrosensation and/or thermosensation. While a subset of sacculus neurons have been physiologically characterised as temperature sensors, the role of this organ has remained largely mysterious, due to its inaccessibility to peripheral electrophysiological analysis. Recently a new family of olfactory receptors, the lonotropic Receptors (IRs), was identified. Five IRs are expressed in sacculus neurons providing the first selective molecular markers for these cells. In this thesis I describe the molecular, physiological and anatomical characterisation of these neurons. Genetic labelling of specific populations of sacculus neurons with anatomical (CD8:GFP) reporters has identified neurons in sacculus chambers I and II express IR40a+IR93a together with their co- receptor IR25a, while neurons in chamber III express IR64a with its co-receptor IR8a. Both these sets of neurons project to two distinct glomeruli in the antennal lobe; IR40a neurons project to the column and arm, IR64a neurons project to DC4 and DP1m. Through a live optical imaging screen I showed that these neurons are indeed olfactory and IR64a neurons recognise acidic ligands, while IR40a neurons recognise amine ligands. IR40a and IR64a neurons are in fact composed of anatomically and physiologically distinct subpopulations, strongly implying the existence of other factors that define their functional properties. My thesis identifies the sacculus as a specialised olfactory organ capable of detecting acids and bases, which are of widespread importance to insects. The data from my thesis along with data from other labs show the sacculus is composed of different populations of olfactory sensory neurons and thermosensory neurons. Comparative genomic analysis of sacculus IRs across insects reveals them to be among the most conserved of this receptor repertoire, suggesting that the sacculus represents an evolutionarily ancient insect olfactory acid-base sensor. - La détection des produits chimiques se trouvant dans l'environnement (perception chimiosensorielle) permet à un animal de choisir sa nourriture, son partenaire ou encore d'identifier ses prédateurs. Décortiquer les mécanismes moléculaires et neuronaux grâce auxquels les animaux détectent ces signaux chimiques permet de comprendre comment ces animaux interagissent avec leur environnement. Un système intéressant pour décortiquer ces mécanismes de perception chimiosensorielle est le système olfactif, de la drosophile (Drosophila melanogaster), aussi appelée mouche du vinaigre. C'est un animal modèle très utile grâce à la combinaison d'outils génétiques puissants et d'analyses physiologiques facilement réalisables. Dans l'antenne de la drosophile, qui est l'organe olfactif principal de cet animal, se trouve une structure appelée sacculus. Celui-ci est composé de trois chambres distinctes, chacune comprenant plusieurs sensilles à l'intérieur desquelles se trouvent deux à trois neurones. De précédentes études morphologiques et anatomiques des ces neurones ont déterminé qu'ils sont impliqués dans la perception des odeurs, de l'humidité et de la température. Malgré ceci, la fonction principale de cet organe reste largement inconnue, principalement car il est inaccessible aux analyses électrophysiologiques. Récemment, une nouvelle famille de soixante-six récepteurs olfactifs, nommés Récepteurs lonotropiques (IRs), a été découverte chez la drosophile. Cinq IRs sont exprimés dans les neurones du sacculus. Pour la première fois, une sélection de marqueurs moléculaires est disponible pour l'étude de ces cellules. Dans cette thèse, les caractéristiques moléculaires, physiologiques et anatomiques des neurones du sacculus sont décrites. Ces populations de neurones situés dans le sacculus ont été marquées avec des gènes rapporteurs (CD8:GFP). Ceci a montré que les récepteurs IR40a et IR93a sont exprimés ensemble avec le co-récepteur IR25a dans les chambres I et II, tandis que les neurones de la chambre III expriment IR64a avec son co-récepteur IR8a. Ces deux groupes de neurones projettent vers deux glomérules distincts du lobe antennaire : les neurones IR40a projettent vers la column et le arm, alors que les neurones IR64a projettent vers DC4 et DP1m. Un screen d'imagerie optique a démontré que ces neurones sont en effet des neurones olfactifs, et que les neurones IR64a reconnaissent des ligands acides, tandis que les neurones IR40a reconnaissent des ligands aminés. De plus, les neurones IR40a et IR64a sont séparés en sous-populations distinctes anatomiquement et physiologiquement, et d'autres facteurs permettant de définir leurs propriétés fonctionnelles sont probablement impliqués. Cette thèse identifie ainsi le sacculus comme un organe olfactif spécialisé capable de détecter des acides et amines, lesquels sont très importants pour les insectes. Toutes les données collectées durant cette thèse, combinées aux données d'autres laboratoires, montrent que le sacculus est composé de différentes populations de neurones olfactifs et thermosenseurs. Ces IRs sont très conservés parmi les insectes, suggérant que le sacculus représente révolution d'un ancien détecteur olfactif d'acides et de bases chez l'insecte. - Tous les animaux sont capables de percevoir les signaux chimiques dans leur environnement, comme les odeurs ou le goût, via différents organes. L'odorat est le sens qui permet de percevoir les odeurs, et il est implique des neurones olfactifs qui se trouvent dans le nez des mammifères ou les antennes des insectes. La capacité d'un neurone olfactif à détecter une molécule odorante dépend des types de récepteurs olfactifs qu'il exprime. Il existe deux grandes familles de récepteurs qui perçoivent les odeurs : les Récepteurs Olfactifs, ORs, et Récepteurs lonotropiques IRs, qui détectent différents types d'odeurs avec différents mécanismes. Lorsqu'un récepteur reconnaît une molécule odorante, il convertit ce signal en un signal électrique qui est ensuite transmis au centre olfactif dans le cerveau. La drosophile (Drosophila melanogaster), aussi appelée mouche du vinaigre, est utilisée comme animal modèle pour étudier l'odorat, parce que son génome entier a été séquencé et que ses gènes sont facilement manipulables. De plus, l'anatomie du système olfactif de la mouche est similaire à celui des mammifères, malgré qu'il possède moins de neurones, ce qui le rend moins complexe. Ma thèse a pour objectif d'étudier les Récepteurs lonotropiques dans un organe spécifique, appelé le sacculus, situé dans les antennes. Les neurones du sacculus exprimant des IRs envoient leurs projections au centre olfactif du cerveau, suggérant que ces neurones perçoivent les odeurs. Une technique d'imagerie optique a été utilisée sur le cerveau de mouches vivantes afin de mesurer la réponse des neurones du le sacculus à différentes odeurs. J'ai démontré que ces récepteurs détectent des acides et des amines, qui sont très importants pour les insectes. Par exemple, les acides se retrouvent dans les fruits mûrs sur lesquels les mouches vont se nourrir, s'accoupler et poser leurs oeufs, et les amines sont souvent produites par des bactéries pouvant être nuisible pour la mouche. La principale découverte de ma thèse est donc l'identification du sacculus comme un organe capable de détecter deux des principales odeurs importantes pour la mouche. Ces récepteurs sont aussi présents dans d'autres insectes où ils jouent peut-être des rôles différents. Les acides et les amines se retrouvent aussi dans les excrétions (comme la sueur ou l'urine) de beaucoup de mammifères, qui pourraient potentiellement être dangereux pour la mouche, mais qui attirent les moustiques se nourrissant de leur sang.
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The peripheral projections of two distinct subpopulations of primary sensory neurons, expressing either calbindin D-28k or substance P, were studied in chick hindlimbs by immunodetecting calbindin D-28k with a rabbit antiserum and substance P with a mouse monoclonal antibody. Calbindin D-28k-immunoreactive axons provided an innervation restricted to specific mechanoreceptors such as muscle spindles, Herbst and Merkel corpuscles, or collars of feather follicles but were absent from Golgi tendon organs. In contrast, substance P-positive axons spread out diffusely in muscles and skin, formed loose plexuses, and extended free branches to the endomysium, arteries, superficial dermis, or dermal pulp of feather follicles. The present results show that calbindin D-28k- and substance P-immunoreactive primary sensory neurons provide distinct modes of innervation to selective targets in peripheral tissues. The results suggest a possible correlation between CaBP-expressing nerve endings and rapidly adapting mechanoreceptors.
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Neurons projecting transitorily into the corpus callosum from area 17 of the cat were retrogradely labeled by the fluorescent tracer Fast Blue (FB) injected into contralateral areas 17 and 18 on postnatal days 1-5. During the second postnatal month these neurons were still labeled by the early injection, although they had eliminated their callosal axon. At this time, 15-20% of these neurons could be retrogradely relabeled by injections of Diamidino Yellow (DY) into ipsilateral areas 17 and 18, but few or none by similar injections in the other areas that receive from area 17 (19, 21a, PMLS, 20a, 20b, DLS). Similarly, area 17 neurons projecting transitorily to contralateral area PMLS during the first postnatal week could be relabeled by DY injections in ipsilateral areas 17 and 18 but not in PMLS. Already around birth, many transitorily callosal neurons in area 17 send bifurcating axons both to contralateral areas 17 and 18 and ipsilateral area 18. It is probable that during postnatal development some of these neurons selectively eliminate their callosal axon collaterals and maintain the projection to ipsilateral area 18. In fact, some transitorily callosal neurons in area 17 can be double-labeled by simultaneous perinatal injections of FB in contralateral areas 17 and 18 and of a new long-lasting retrograde tracer, rhodamine-conjugated latex microspheres, in ipsilateral area 18. The same neurons can then be relabeled by reinjecting ipsilateral area 18 with DY during the second postnatal month. This finding, however, does not exclude the possibility that some transitorily callosal neurons send an axon to ipsilateral area 18 after eliminating their callosal axon. In conclusion, area 17 neurons that project transitorily through the corpus callosum later participate, probably permanently, in ipsilateral corticocortical projections but selectively to areas 17-18. The mechanism responsible for this selectivity is unknown, but it may be related to the differential radial distribution (i.e., to birth date) of area 17 neurons engaged in the various corticocortical projections. The problems raised by the use of long-lasting retrograde fluorescent tracers in neurodevelopmental studies and by the quantification of results of double- and triple-labeling paradigms are also discussed.
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Topological indices have been applied to build QSAR models for a set of 20 antimalarial cyclic peroxy cetals. In order to evaluate the reliability of the proposed linear models leave-n-out and Internal Test Sets (ITS) approaches have been considered. The proposed procedure resulted in a robust and consensued prediction equation and here it is shown why it is superior to the employed standard cross-validation algorithms involving multilinear regression models
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In this article we present a novel approach for diffusion MRI global tractography. Our formulation models the signal in each voxel as a linear combination of fiber-tract basis func- tions, which consist of a comprehensive set of plausible fiber tracts that are locally compatible with the measured MR signal. This large dictionary of candidate fibers is directly estimated from the data and, subsequently, efficient convex optimization techniques are used for recovering the smallest subset globally best fitting the measured signal. Experimen- tal results conducted on a realistic phantom demonstrate that our approach significantly reduces the computational cost of global tractography while still attaining a reconstruction quality at least as good as the state-of-the-art global methods.
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