Optimum power allocation for parallel Gaussian channels with arbitrary input distributions

The mutual information of independent parallel Gaussian-noise channels is maximized, under an average power constraint, by independent Gaussian inputs whose power is allocated according to the waterfilling policy. In practice, discrete signalling constellations with limited peak-to-average ratios (m-PSK, m-QAM, etc) are used in lieu of the ideal Gaussian signals. This paper gives the power allocation policy that maximizes the mutual information over parallel channels with arbitrary input distributions. Such policy admits a graphical interpretation, referred to as mercury/waterfilling, which generalizes the waterfilling solution and allows retaining some of its intuition. The relationship between mutual information of Gaussian channels and nonlinear minimum mean-square error proves key to solving the power allocation problem.

Optimum power allocation for multiuser OFDM with arbitrary signal constellations

This paper formulates power allocation policies that maximize the region of mutual informationsachievable in multiuser downlink OFDM channels. Arbitrary partitioning ofthe available tones among users and arbitrary modulation formats, possibly different forevery user, are considered. Two distinct policies are derived, respectively for slow fadingchannels tracked instantaneously by the transmitter and for fast fading channels knownonly statistically thereby. With instantaneous channel tracking, the solution adopts theform of a multiuser mercury/waterfilling procedure that generalizes the single-user mercury/waterfilling introduced in [1, 2]. With only statistical channel information, in contrast,the mercury/waterfilling interpretation is lost. For both policies, a number of limitingregimes are explored and illustrative examples are provided.

The transventricular-transseptal access to the aortic root : a new route for extrapleural trans-catheter aortic stent-valve implantation

Rapport de synthèseObjectif: le remplacement valvulaire aortique par voie transcathétère est, actuellement, une méthode fiable indiquée pour des patients à haut risque porteurs d'une sténose valvulaire aortique. La voie transfémorale est utilisable seulement en cas d'absence de maladie vasculaire et la voie transapicale est contrindiquée en cas de dysfonction pulmonaire chronique sévère. Une alternative pour ne pas passer a travers l'espace pleural serait par voie sous- xiphoïdienne et trans-septale à travers le ventricule droit.Méthode: une expérience animale a été amené au laboratoire de recherche du CHUV. Cinq cochons (poids : 52.3±10.9 kg) ont été endormi et, sous anesthésie générale, le ventricule droit a été préparé a travers un accès sous- xiphoïdien. Ensuite, sous guide fluoroscopique et avec l'utilisation d'une échocardiographie intracardiaque, un accès trans-septal a été crée entre le ventricule droit et le ventricule gauche en utilisant des dilatateur de diamètre croissant (de 8F à 26F). Par la suite, une valve stentée crée dans le laboratoire en utilisant un stent en nitinol et du péricarde a été chargé dans une cartouche et introduite dans le ventricule gauche à travers un introducteur trans-septal. Enfin, la valve a été amené dans la chambre de chasse du ventricule gauche et ensuite dans la racine aortique et puis déployé au bon endroit. Quand le système a été retiré, le septum ventriculaire a pu être réparé par mise en place d'un système d'occlusion septal Amplazer. Trente minutes après la procédure, les animaux ont été sacrifié et le coeur a été analysé pour étudier le positionnement da la valve stentée, l'efficacité de la fermeture du septum inter-ventriculaire et la fermeture de la paroi du ventricule droit.Résultat : les cinq cochon ont tous eu un parfait positionnement et pose de la prothèse en position aortique au premier essai (efficacité 100%). Les procédures ont duré, moyennement, 49±4 minutes et la progressive dilatation de l'accès trans-septale à donné lieu à une communication inter-ventriculaire mesurable après dilatation avec du 18F et plus. Toutes les valves stentées ont été déployées au bon endroit avec un bon résultat du fonctionnement des valves prothétiques et absence d'insuffisance para prothétique. Pendant les procédures, des battement prématurés ainsi que des épisodes isolées de tachycardie supra ventriculaire ont été détectés. Par contre, il n'y a pas eu de bloc atrio-ventriculaire. Les pertes sanguines pendant les procédures étaient de 280±10mL, et les systèmes d'occlusion Amplatzer étaient tous bien déployés sans shunts inter-ventriculaires résiduels.Conclusion: la technique d'introduction de valve stentées par voie extrapleural (trans-ventriculaire et trans-septale) est techniquement possible et elle jette les bases pour le remplacement valvulaire aortique trans-ventriculaire sous anesthésie locale.

Carte topographique de la route du Simplon entre Brieg et Domo d'Ossola / dressée par Ch[ar]les Picquet, géographe ord[inai]re du roi et de S.A.R m[onsei]g[neu]r le duc d'Orléans

Échelle(s) : 1:100 000

Carte du cours du Danube : depuis Passau jusqu'à Lintz : De l'Inn depuis Wœrgl jusqu'à son confluent : De la Salza depuis Hallein jusqu'à son confluent : et de la grande route de Kufften à Salzbourg / Atelier de gravure sur pierre de Hellrigel

Échelle(s) : [ca 1:205 000]

Parental investments in children: how bargaining and educational homogamy affect time allocation

This study examines parental time investment in their children, distinguishing between developmental and non-developmental care. Our analyses centre on three influential determinants: educational background, marital homogamy, and spouses' relative bargaining power. We find that the emphasis on quality care time is correlated with parents' education, and that marital homogamy reduces couple specialization, but only among the highly educated. In line with earlier research, we identify gendered parental behaviour. The presence of boys is an important condition for fathers' time dedication, but primarly among lower educated fathers. To the extent that parental stimulation is decisive for child outcomes, our findings suggest the persistence of important inequalities. This emerges through our special attention to behavioural differences across the educational distribution among households.

Plan de la partie de la route dép[artementa]le n°4 d'Ambérieux à Belley depuis la maison Thermet jusqu'au sommet de la rampe de la Darde, de la rivière de Furand et du coteau boisé et hautiné qui sépare la vallée de Furand d'avec la gorge de la Darde : Département de l'Ain : Arrondissement de Belley / Dressé par Mr Marchand, conducteur au corps royal des ponts et chaussées à Belley (Ain)

Échelle(s) : 1:2 500

On Certain Greedoid Polyhedra, Partially Indexable Scheduling Problems, and Extended Restless Bandit Allocation Indices

We present a polyhedral framework for establishing general structural properties on optimal solutions of stochastic scheduling problems, where multiple job classes vie for service resources: the existence of an optimal priority policy in a given family, characterized by a greedoid (whose feasible class subsets may receive higher priority), where optimal priorities are determined by class-ranking indices, under restricted linear performance objectives (partial indexability). This framework extends that of Bertsimas and Niño-Mora (1996), which explained the optimality of priority-index policies under all linear objectives (general indexability). We show that, if performance measures satisfy partial conservation laws (with respect to the greedoid), which extend previous generalized conservation laws, then the problem admits a strong LP relaxation over a so-called extended greedoid polytope, which has strong structural and algorithmic properties. We present an adaptive-greedy algorithm (which extends Klimov's) taking as input the linear objective coefficients, which (1) determines whether the optimal LP solution is achievable by a policy in the given family; and (2) if so, computes a set of class-ranking indices that characterize optimal priority policies in the family. In the special case of project scheduling, we show that, under additional conditions, the optimal indices can be computed separately for each project (index decomposition). We further apply the framework to the important restless bandit model (two-action Markov decision chains), obtaining new index policies, that extend Whittle's (1988), and simple sufficient conditions for their validity. These results highlight the power of polyhedral methods (the so-called achievable region approach) in dynamic and stochastic optimization.

Money, Fame and the Allocation of Talent: Brain Drain, the Matthew Effect and the Institution of Science

The earning structure in science is known to be flat relative to the one in the private sector, which could cause a brain drain toward the private sector. In this paper, we assume that agents value both money and fame and study the role of the institution of science in the allocation of talent between the science sector and the private sector. Following works on the Sociology of Science, we model the institution of science as a mechanism distributing fame (i.e. peer recognition). We show that since the intrinsic performance is less noisy signal of talent in the science sector than in the private sector, a good institution of science can mitigate the brain drain. We also find that providing extra monetary incentives through the market might undermine the incentives provided by the institution and thereby worsen the brain drain. Finally, we study the optimal balance between monetary and non-monetary incentives in science.

Financial Repression in a Natural Experiment: Loan Allocation and the Change in the Usury Laws in 1714

If financial deepening aids economic growth, then financial repression should be harmful. We use a natural experiment – the change in the English usury laws in 1714 – to analyze the effects of interest rate restrictions. We use a sample of individual loan transactions to demonstrate how the reduction of the legal maximum rate of interest affected the supply and demand for credit. Average loan size and minimum loan size increased strongly, and access to credit worsened for those with little ‘social capital.’ While we have no direct evidence that loans were misallocated, the discontinuity in loan receipts makes this highly likely. We conclude that financial repression can undermine the positive effects of financial deepening.

Effects of rat anti-VEGF antibody in a rat model of corneal graft rejection by topical and subconjunctival routes.

PURPOSE: To compare the effect of a rat anti-VEGF antibody, administered either by topical or subconjunctival (SC) routes, on a rat model of corneal transplant rejection.METHODS: Twenty-four rats underwent corneal transplantation and were randomized into four treatment groups (n=6 in each group). G1 and G2 received six SC injections (0.02 ml 10 µg/ml) of denatured (G1) or active (G2) anti-VEGF from Day 0 to Day 21 every third day. G3 and G4 were instilled three times a day with denatured (G3) or active (G4) anti-VEGF drops (10 µg/ml) from Day 0 to Day 21. Corneal mean clinical scores (MCSs) of edema (E), transparency (T), and neovessels (nv) were recorded at Days 3, 9, 15, and 21. Quantification of neovessels was performed after lectin staining of vessels on flat mounted corneas.RESULTS: Twenty-one days after surgery, MCSs differed significantly between G1 and G2, but not between G3 and G4, and the rejection rate was significantly reduced in rats receiving active antibodies regardless of the route of administration (G2=50%, G4=66.65% versus G1 and G3=100%; p<0.05). The mean surfaces of neovessels were significantly reduced in groups treated with active anti-VEGF (G2, G4). However, anti-VEGF therapy did not completely suppress corneal neovessels.CONCLUSIONS: Specific rat anti-VEGF antibodies significantly reduced neovascularization and subsequent corneal graft rejection. The SC administration of the anti-VEGF antibody was more effective than topical instillation.

A pathogen-specific epitope inserted into recombinant secretory immunoglobulin A is immunogenic by the oral route.

Oral administration of rabbit secretory IgA (sIgA) to adult BALB/c mice induced IgA+, IgM+, and IgG+ lymphoblasts in the Peyer's patches, whose fusion with myeloma cells resulted in hybridomas producing IgA, IgM, and IgG1 antibodies to the secretory component (SC). This suggests that SC could serve as a vector to target protective epitopes into mucosal lymphoid tissue and elicit an immune response. We tested this concept by inserting a Shigella flexneri invasin B epitope into SC, which, following reassociation with IgA, was delivered orally to mice. To identify potential insertion sites at the surface of SC, we constructed a molecular model of the first and second Ig-like domains of rabbit SC. A surface epitope recognized by an SC-specific antibody was mapped to the loop connecting the E and F beta strands of domain I. This 8-amino acid sequence was replaced by a 9-amino acid linear epitope from S. flexneri invasin B. We found that cellular trafficking of recombinant SC produced in mammalian CV-1 cells was drastically altered and resulted in a 50-fold lower rate of secretion. However, purification of chimeric SC could be achieved by Ni2+-chelate affinity chromatoraphy. Both wild-type and chimeric SC bound to dimeric IgA, but not to monomeric IgA. Reconstituted sIgA carrying the invasin B epitope within the SC moiety triggers the appearance of seric and salivary invasin B-specific antibodies. Thus, neo-antigenized sIgA can serve as a mucosal vaccine delivery system inducing systemic and mucosal immune responses.

Sex allocation and sex-dependent selection for body size in Trypoxylon rogenhoferi Kohl (Hymenoptera, Sphecidae)

Two populations of the wasp Trypoxylon rogenhoferi Kohl, 1884 from São Carlos and Luís Antônio, State of São Paulo, Brazil, were observed and sampled from May 1999 to February 2001 using trap-nests. This mass-provisioning wasp was used to test some aspects of optimal sex allocation theory. Both populations fit all the predictions of the models of Green and Brockmann and Grafen. Maternal provisions determined the size of each offspring, and females allocated well-stocked brood cells to daughters, the sex that benefits most being large. This strategy resulted in a difference in size between the sexes. In São Carlos, female weight at emergence was 1.18 times that of males, in Luís Antônio this value was 1.13. The brood cell volume was correlated with both wing length and weight at emergence in both sexes, and the chance that a given brood cell contained a male offspring decreased with increased brood cell volume. In T. rogenhoferi female body size was related to fitness. Larger females were able to collect more mass of spiders per day, the spiders they captured were heavier, and they provisioned more brood cells per day. They also produced larger daughters. For males, no relationship between body size and fitness was found, but the data were scarce. Since the patterns of provisioning were variable among different females in both study sites, it is possible that the females not follow a unique strategy for sex allocation. The sex ratio and/or investment ratio in the São Carlos population was female-biased and in Luís Antônio, male-biased. In spite of the influence of trap-nests diameters on male production in Luís Antônio, there is some evidence that in São Carlos population the local availability of prey and/or lower rate of parasitism may be major forces in determining the observed sex ratio, but further studies are necessary to verify such hypothesis.

Regional allocation of skills

This paper addresses three questions: (1) why does the share of skilledworkers in regional population tend to be higher in wealthier regions? (2)what determines changes in this share over time? and (3) why is it that internalmigration tends to raise average skill levels of the receiving regions relativeto that of the sending regions? I construct a two--region dynamic model withagglomeration and congestion to answer these questions. It is shown that,under certain relationship between wages and demand for land, unskilledworkers are discouraged more strongly from living in a wealthier region andare less mobile than skilled workers.