Note on homology of expanding foliations

This note contains some remarks about the homologies that can be associated to a foliation which is invariant and uniformly expanded by a diffeomorphism. We construct a family of 'dynamical' closed currents supported on the foliation which help us relate the geometric volume growth of the leaves under the diffeomorphism with the map induced on homology in the case when these currents have nonzero homology.

Predicting trabecular bone microdamage initiation and accumulation using a non-linear perfect damage model

Studies evaluating the mechanical behavior of the trabecular microstructure play an important role in our understanding of pathologies such as osteoporosis, and in increasing our understanding of bone fracture and bone adaptation. Understanding of such behavior in bone is important for predicting and providing early treatment of fractures. The objective of this study is to present a numerical model for studying the initiation and accumulation of trabecular bone microdamage in both the pre- and post-yield regions. A sub-region of human vertebral trabecular bone was analyzed using a uniformly loaded anatomically accurate microstructural three-dimensional finite element model. The evolution of trabecular bone microdamage was governed using a non-linear, modulus reduction, perfect damage approach derived from a generalized plasticity stress-strain law. The model introduced in this paper establishes a history of microdamage evolution in both the pre- and post-yield regions

Leadership in collective action

We extend the model of collective action in which groups compete for a budged by endogenizing the group platform, namely the specific mixture of public/private good and the distribution of the private good to group members which can be uniform or performance-based. While the group-optimal platform contains a degree of publicness that increases in group size and divides the private benefits uniformly, a success-maximizing leader uses incentives and distorts the platform towards more private benefits - a distortion that increases with group size. In both settings we obtain the anti-Olson type result that win probability increases with group size.

Exclusive Nightclubs and Lonely Hearts Columns: Nonmonotone Participation in Optional Intermediation

In many decentralised markets, the traders who benefit most from an exchange do not employ intermediaries even though they could easily afford them. At the same time, employing intermediaries is not worthwhile for traders who benefit little from trade. Together, these decisions amount to non-monotone participation choices in intermediation: only traders of middle “type” employ intermediaries, while the rest, the high and the low types, prefer to search for a trading partner directly. We provide a theoretical foundation for this, hitherto unexplained, phenomenon. We build a dynamic matching model, where a trader’s equilibrium bargaining share is a convex increasing function of her type. We also show that this is indeed a necessary condition for the existence of non-monotone equilibria.

Subsidies as Optimal Fiscal Stimuli

In the theoretical macroeconomics literature, fiscal policy is almost uniformly taken to mean taxing and spending by a ‘benevolent government’ that exploits the potential aggregate demand externalities inherent in the imperfectly competitive nature of goods markets. Whilst shown to raise aggregate output and employment, these policies crowd-out private consumption and hence typically reduce welfare. In this paper we consider the use of ‘tax-and-subsidise’ instead of ‘taxand- spend’ policies on account of their widespread use by governments, even in the recent recession, to stimulate economic activity. Within a static general equilibrium macro-model with imperfectly competitive good markets we examine the effect of wage and output subsidies and show that, for a small open economy, positive tax and subsidy rates exist which maximise welfare, rendering no intervention as a suboptimal state. We also show that, within a two-country setting, a Nash non-cooperative symmetric equilibrium with positive tax and subsidy rates exists, and that cooperation between trading partners in setting these rates is more expansionary and leads to an improvement upon the non-cooperative solution.

Social evolution in the sweat bee Halictus scabiosae

The evolution of eusociality is one of the major evolutionary transitions of life on earth. For investigating the conditions and processes that are central to the origin of such integrated social organization, it is best to study organisms in which individuals have retained some flexibility in their reproductive strategies. Halictid bees are especially well suited as model organisms, because they show huge variation in social systems, both within and between species. In this thesis, I investigated female reproductive strategies in the primitively eusocial bee Halictus scabiosae, with a focus on the role of helpers, in order to get insight into the mechanisms governing the evolution and maintenance of eusociality. This species produces two broods per year. The females from the first brood can stay in the natal nest to help raise a second brood of males and gynes that become the next-generation foundresses in spring. We first compared the morphology of females from the two broods, as well as the nutrition they receive as larvae. Then we conducted a helper- removal experiment in the field to quantify the effects of the presence of helpers on colony survival and productivity. Finally, we reconstructed pedigree relationships of individuals using microsatellite markers in order to detect who reproduces in the nest and how much individuals drift between nests. We found that first brood females had a uniformly small size and low fat reserves, which may be caused by the restricted pollen and nectar provisions on which they develop. Colony survival and productivity was increased by the presence of a single helper, but the effect was small and mostly limited to small colonies. By inferring parentage within and across colonies, we could determine that females from the first brood rarely reproduce in their natal nests. However, foundresses are frequently replaced, and foundresses and females from the first brood occasionally move to and reproduce in foreign colonies. As a result, colonies often contain offspring from unrelated individuals, and the relatedness of females to the brood they rear is low. Overall, this thesis shows that the reproductive system of H. scabiosae is highly flexible. The production of helpers in the first brood is important for colony success and productivity, but there is a high colony failure rate and part of the first brood females drift and reproduce in foreign nests. Both foundresses and helpers appear to be constrained by harsh environmental conditions or social factors limiting reproduction and independent colony founding. - L'origine des insectes sociaux est un domaine fascinant pour la recherche. Pour comprendre les mécanismes et les conditions qui sont nécessaires pour l'évolution et le maintien de la vie en société, il est judicieux d'étudier des sociétés primitives d'insectes, où toutes les femelles ont conservé la capacité de se reproduire, même si leur rôle comportemental dans la colonie est d'aider sans se reproduire. Une des familles d'abeilles, les halictes, est idéale pour cette sorte de recherche, en raison de la grande variabilité dans leur comportement social. Dans cette thèse, j'ai étudié les stratégies reproductives des femelles de Halictus scabiosae pour mieux comprendre les mécanismes qui influencent l'évolution de la vie en société. Cette espèce produit deux cohortes de couvain par année. Les femelles du premier couvain restent souvent dans leur nid natal pour aider à élever le deuxième couvain, tandis que les femelles du deuxième couvain s'accouplent et hibernent pour devenir les nouvelles fondatrices au printemps suivant. Nous avons d'abord comparé la morphologie des femelles issues des deux couvains ainsi que leur nutrition au stade de larve. Puis, dans une expérience sur le terrain, nous avons quantifié l'apport d'une ouvrière pour la survie et la productivité de la colonie. Finalement, nous avons reconstruit des pedigrees en utilisant des marqueurs génétiques, pour savoir qui se reproduit dans la colonie et combien d'individus migrent entre colonies. Les résultats montrent que les femelles du premier couvain sont uniformément plus petites et plus maigres, ce qui indique que les fondatrices réduisent les provisions de nourriture pour leur premier couvain afin de les inciter à aider dans le nid au lieu de se reproduire indépendamment. Dans l'expérience sur le terrain, la survie et la productivité de la colonie augmentaient avec la présence d'une ouvrière additionnelle, mais l'effet était petit et limité aux petites colonies. Par la reconstruction de pedigrees, nous pouvions constater que les femelles du premier couvain pondent rarement dans leurs nids natals. Les fondatrices cependant sont souvent remplacées en cours de saison, et migrent fréquemment entre nids, tandis que les femelles du premier couvain pondent parfois des oeufs dans des nids étrangers. De ce fait, les colonies contiennent souvent des descendants d'individus étrangers, et la parenté génétique entre les femelles et le deuxième couvain est basse. Cette thèse démontre que le système reproductif de H. scabiosae est très flexible. La production d'ouvrières est importante pour la survie de la colonie et sa productivité, mais le taux d'échec est élevé et une partie des femelles du premier couvain migrent et pondent dans une colonie étrangère. Autant les fondatrices que les ouvrières semblent être contraintes par des conditions environnementales ou sociales qui limitent la reproduction et les nouvelles fondations de colonie. - Die Entstehung von sozialen Lebensformen ist eines der wichtigsten Entwicklungen in der Geschichte des Lebens. Um die Bedingungen oder Prozesse zu verstehen, welche bei der Entstehung und dem Erhalt von sozialen Merkmalen wichtig sind, sollte man Lebewesen untersuchen, welche je nach Umwelteinflüßen ihr soziales Verhalten flexibel ändern können. Furchenbienen (Halictidae) gehören dazu. Diese weisen nämlich ein breites Spektrum verschiedener sozialer Organisationsformen auf, oftmals sogar innerhalb der einzelnen Arten. In meiner Doktorarbeit befasste ich mich mit den Fortpflanzungsstrategien der Weibchen der Skabiosen-Furchenbiene Halictus scabiosae. Diese Art produziert zwei Brüten pro Jahr. Die Weibchen der ersten Brut bleiben dabei meist als Arbeiterinnen in ihrem Geburtsnest, wohingegen die Weibchen der zweiten Brut nach der Paarung überwintern, um im nächsten Frühling neue Kolonien zu gründen. In einem ersten Schritt verglichen wir die beiden Brüten bezüglich der Grösse und der Fettreserven der Weibchen sowie der Pollen-Nektar-Vorräte für die Larven. Dann bestimmten wir in einem Feldexperiment, wieviel eine zusätzliche Arbeiterin zum Überleben und zur Produktiviät der Kolonie beiträgt. Schliesslich ermittelten wir durch genetische Tests die Verwandtschaftsbeziehungen zwischen den Bienen, um herauszufinden, wer in den Kolonien tatsächlich die Eier legt und ob und wieviel die Bienen zwischen verschiedenen Nestern wandern. Wir stellten fest, dass die Weibchen von der ersten Brut einheitlich kleiner sind und weniger Fettreserven besitzen. Das weist daraufhin, dass die Nestgründerin die erste Brut unterernährt, um die Wahrscheinlichkeit zu erhöhen, dass diese Weibchen als Arbeiterinnen im Nest bleiben anstatt sich unabhängig fortzupflanzen. Schon eine einzelne zusätzliche Arbeiterin verbesserte die Überlebenschancen und Produktivität der Kolonie, der Effekt war allerdings klein und auf kleine Kolonien beschränkt. Die Verwandtschaftsanalysen zeigten, dass die Arbeiterinnen nur sehr selten ein Ei in ihr Geburtsnest legen. Erstaunlicherweise wanderten die Nestgründerinnen oft zwischen verschiedenen Nestern. Einige Weibchen der ersten Brut wanderten auch in ein fremdes Nest und produzierten dort Nachkommen. Diese Doktorarbeit zeigt, dass die Fortpflanzungsstrategien der Skabiosen-Furchenbiene tatsächlich sehr flexibel sind. Die Anwesenheit von Arbeiterinnen ist wichtig für das Überleben und die Produktivität der Kolonie. Die Misserfolgsraten bleiben jedoch hoch, und ein Teil der Weibchen der ersten Brut pflanzt sich in fremden Nestern fort. Sowohl die Nestgründerinnen als auch die Weibchen der ersten Brut scheinen durch Umweltsbedingungen oder durch soziale Faktoren in der Wahl ihrer Fortpflanzungs¬strategie eingeschränkt zu sein.

Correlated equilibria, good and bad: an experimental study

We report results from an experiment that explores the empirical validity of correlated equilibrium, an important generalization of the Nash equilibrium concept. Specifically, we seek to understand the conditions under which subjects playing the game of Chicken will condition their behavior on private, third–party recommendations drawn from known distributions. In a “good–recommendations” treatment, the distribution we use is a correlated equilibrium with payoffs better than any symmetric payoff in the convex hull of Nash equilibrium payoff vectors. In a “bad–recommendations” treatment, the distribution is a correlated equilibrium with payoffs worse than any Nash equilibrium payoff vector. In a “Nash–recommendations” treatment, the distribution is a convex combination of Nash equilibrium outcomes (which is also a correlated equilibrium), and in a fourth “very–good–recommendations” treatment, the distribution yields high payoffs, but is not a correlated equilibrium. We compare behavior in all of these treatments to the case where subjects do not receive recommendations. We find that when recommendations are not given to subjects, behavior is very close to mixed–strategy Nash equilibrium play. When recommendations are given, behavior does differ from mixed–strategy Nash equilibrium, with the nature of the differ- ences varying according to the treatment. Our main finding is that subjects will follow third–party recommendations only if those recommendations derive from a correlated equilibrium, and further, if that correlated equilibrium is payoff–enhancing relative to the available Nash equilibria.

Free Mobility and Taste-Homogeneity of Jurisdiction Structures

We consider a population of agents distributed on the unit interval. Agents form jurisdictions in order to provide a public facility and share its costs equally. This creates an incentive to form large entities. Individuals also incur a transportation cost depending on their location and that of the facility which makes small jurisdictions advantageous. We consider a fairly general class of distributions of agents and generalize previous versions of this model by allowing for non-linear transportation costs. We show that, in general, jurisdictions are not necessarily homogeneous. However, they are if facilities are always intraterritory and transportation costs are superadditive. Superadditivity can be weakened to strictly increasing and strictly concave when agents are uniformly distributed. Keywords: Consecutiveness, stratification, local public goods, coalition formation, country formation. JEL Classification: C71 (Cooperative Games), D71 (Social Choice; Clubs; Committees; Associations), H73 (Interjurisdictional Differentials and Their Effects).

Geometria integral i convexitat en espais de curvatura holomorfa constant

En aquest treball es tracten qüestions de la geometria integral clàssica a l'espai hiperbòlic i projectiu complex i a l'espai hermític estàndard, els anomenats espais de curvatura holomorfa constant. La geometria integral clàssica estudia, entre d'altres, l'expressió en termes geomètrics de la mesura de plans que tallen un domini convex fixat de l'espai euclidià. Aquesta expressió es dóna en termes de les integrals de curvatura mitja. Un dels resultats principals d'aquest treball expressa la mesura de plans complexos que tallen un domini fixat a l'espai hiperbòlic complex, en termes del que definim com volums intrínsecs hermítics, que generalitzen les integrals de curvatura mitja. Una altra de les preguntes que tracta la geometria integral clàssica és: donat un domini convex i l'espai de plans, com s'expressa la integral de la s-èssima integral de curvatura mitja del convex intersecció entre un pla i el convex fixat? A l'espai euclidià, a l'espai projectiu i hiperbòlic reals, aquesta integral correspon amb la s-èssima integral de curvatura mitja del convex inicial: se satisfà una propietat de reproductibitat, que no es té en els espais de curvatura holomorfa constant. En el treball donem l'expressió explícita de la integral de la curvatura mitja quan integrem sobre l'espai de plans complexos. L'expressem en termes de la integral de curvatura mitja del domini inicial i de la integral de la curvatura normal en una direcció especial: l'obtinguda en aplicar l'estructura complexa al vector normal. La motivació per estudiar els espais de curvatura holomorfa constant i, en particular, l'espai hiperbòlic complex, es troba en l'estudi del següent problema clàssic en geometria. Quin valor pren el quocient entre l'àrea i el perímetre per a successions de figures convexes del pla que creixen tendint a omplir-lo? Fins ara es coneixia el comportament d'aquest quocient en els espais de curvatura seccional negativa i que a l'espai hiperbòlic real les fites obtingudes són òptimes. Aquí provem que a l'espai hiperbòlic complex, les cotes generals no són òptimes i optimitzem la superior.

Leishmania braziliensis ssp. in the nasal mucosa of guinea pigs inoculated in the tarsi

Two lots of 20 young male guinea pigs were inoculated subcutaneously in the tarsi with 10 (elevated to fourth potency) amastigotes of Leishmania braziliensis or L. b. guyanensis to study the susceptibility of this Neotropical hystricomorph rodent the autochthonous parasites. Almost 50% of the animals showed lesions in the inoculation site and had parazitations that were infective to hamsters, as shown by inoculating homogenates of the dermal lesion, of the spleen, of the liver, and of the nasal mucosa into hamsters at 20, 40, 60 and 120 days after inoculation of the guinea pig. Smears of the above organs showed the presence of amastigotes. Parasites inoculated into the tarsi were detected early in the skin, spleen, and liver of the guinea pig host. Blood cultures made by cardiopuncture on sacrifice of the guinea pigs were uniformly negative. The nasal mucosa of nearly all animals positive in the skin or viscera was invaded early by the parasites, although with grater frequency between 60 and 120 days post-inoculation. The use of this model for the study of mucocutaneous parasitism by L. brasiliensis is discussed, together with the phenomena of parasitism at a distance from the inoculation site, the temperature of the body regions affected, and the possible genetic influence on susceptibility of the guinea pig to L. brasiliensis.

Characterization of pip5k3 fleck corneal dystrophy-linked gene in zebrafish.

PIKfyve is a kinase encoded by pip5k3 involved in phosphatidylinositols (PdtIns) pathways. These lipids building cell membranes have structural functions and are involved in complex intracellular regulations. Mutations in human PIP5K3 are associated with François-Neetens mouchetée fleck corneal dystrophy [Li, S., Tiab, L., Jiao, X., Munier, F.L., Zografos, L., Frueh, B.E., Sergeev, Y., Smith, J., Rubin, B., Meallet, M.A., Forster, R.K., Hejtmancik, J.F., Schorderet, D.F., 2005. Mutations in PIP5K3 are associated with François-Neetens mouchetee fleck corneal dystrophy. Am. J. Hum. Genet. 77, 54-63]. We cloned the zebrafish pip5k3 and report its molecular characterization and expression pattern in adult fish as well as during development. The zebrafish PIKfyve was 70% similar to the human homologue. The gene encompassed 42 exons and presented four alternatively spliced variants. It had a widespread expression in the adult organs and was localized in specific cell types in the eye as the cornea, lens, ganglion cell layer, inner nuclear layer and outer limiting membrane. Pip5k3 transcripts were detected in early cleavage stage embryos. Then it was uniformly expressed at 10 somites, 18 somites and 24 hpf. Its expression was then restricted to the head region at 48 hpf, 72 hpf and 5 dpf and partial expression was found in somites at 72 hpf and 5 dpf. In situ on eye sections at 3 dpf showed a staining mainly in lens, outer limiting membrane, inner nuclear layer and ganglion cell layer. A similar expression pattern was found in the eye at 5 dpf. A temporal regulation of the spliced variants was observed at 1, 3 and 5 dpf and they were also found in the adult eye.

A numerical algorithm for finding solutions of a generalized Nash equilibrium problem

A family of nonempty closed convex sets is built by using the data of the Generalized Nash equilibrium problem (GNEP). The sets are selected iteratively such that the intersection of the selected sets contains solutions of the GNEP. The algorithm introduced by Iusem-Sosa (2003) is adapted to obtain solutions of the GNEP. Finally some numerical experiments are given to illustrate the numerical behavior of the algorithm.

The distribution of intestinal helminth infections in a rural village in Guatemala

Fecal egg count scores were used to investigate the distribution and abundance of intestinal helminths in the population of a rural village. Prevalences of the major helminths were 41% with Ascaris lumbricoides 60% with Trichuris trichiura and 50% with Necator americanus. All three parasites showed a highly aggregated distribution among hosts. Age/prevalence and age/intensity profiles were typical for both A. lumbricoides and T. trichiura with the highest worm burdens in the 50-10 year old children. For hookworm both prevalence and intensity curves were convex in shape with maximum infection levels in the 30-40 year old age class. Infected females had higher burdens of T. trichiura than infected males in all age classes of the population; there were no other effects of host gender. Analysis of associations between parasites within hosts revealed strong correlations between A. lumbricoides and T. lumbricoides and T. trichiura. Individuals with heavy infections of A. lumbricoides and T. trichiura showed highly significant aggregation within households. Associations between a variety of household features and heavy infections with A. lumbricoides and T. trichiura are described.

Iceberg transport technologies in spatial competition. Hotelling reborn

Transport costs in address models of differentiation are usually modeled as separable of the consumption commodity and with a parametric price. However, there are many sectors in an economy where such modeling is not satisfactory either because transportation is supplied under oligopolistic conditions or because there is a difference (loss) between the amount delivered at the point of production and the amount received at the point of consumption. This paper is a first attempt to tackle these issues proposing to study competition in spatial models using an iceberg-like transport cost technology allowing for concave and convex melting functions.

International Society of Urological Pathology (ISUP) Consensus Conference on Handling and Staging of Radical Prostatectomy Specimens. Working group 5: surgical margins.

The 2009 International Society of Urological Pathology Consensus Conference in Boston, made recommendations regarding the standardization of pathology reporting of radical prostatectomy specimens. Issues relating to surgical margin assessment were coordinated by working group 5. Pathologists agreed that tumor extending close to the 'capsular' margin, yet not to it, should be reported as a negative margin, and that locations of positive margins should be indicated as either posterior, posterolateral, lateral, anterior at the prostatic apex, mid-prostate or base. Other items of consensus included specifying the extent of any positive margin as millimeters of involvement; tumor in skeletal muscle at the apical perpendicular margin section, in the absence of accompanying benign glands, to be considered organ confined; and that proximal and distal margins be uniformly referred to as bladder neck and prostatic apex, respectively. Grading of tumor at positive margins was to be left to the discretion of the reporting pathologists. There was no consensus as to how the surgical margin should be regarded when tumor is present at the inked edge of the tissue, in the absence of transected benign glands at the apical margin. Pathologists also did not achieve agreement on the reporting approach to benign prostatic glands at an inked surgical margin in which no carcinoma is present.