Riesz-Nágy singular functions revisited

In 1952 F. Riesz and Sz.Nágy published an example of a monotonic continuous function whose derivative is zero almost everywhere, that is to say, a singular function. Besides, the function was strictly increasing. Their example was built as the limit of a sequence of deformations of the identity function. As an easy consequence of the definition, the derivative, when it existed and was finite, was found to be zero. In this paper we revisit the Riesz-N´agy family of functions and we relate it to a system for real numberrepresentation which we call (t, t-1) expansions. With the help of these real number expansions we generalize the family. The singularity of the functions is proved through some metrical properties of the expansions used in their definition which also allows us to give a more precise way of determining when the derivative is 0 or infinity.

Unique and conserved functions of B cell-activating factor of the TNF family (BAFF) in the chicken.

The chicken represents the best-characterized animal model for B cell development in the so-called gut-associated lymphoid tissue (GALT) and the molecular processes leading to B cell receptor diversification in this species are well investigated. However, the mechanisms regulating B cell development and homeostasis in GALT species are largely unknown. Here we investigate the role played by the avian homologue of B cell-activating factor of the tumor necrosis factor family (BAFF). Flow cytometric analysis showed that the receptor for chicken B cell-activating factor of the tumor necrosis factor family (chBAFF) is expressed by mature and immature B cells. Unlike murine and human BAFF, chBAFF is primarily produced by B cells both in peripheral lymphoid organs and in the bursa of Fabricius, the chicken's unique primary lymphoid organ. In vitro and in vivo studies revealed that chBAFF is required for mature B cell survival. In addition, in vivo neutralization with a decoy receptor led to a reduction of the size and number of B cell follicles in the bursa, demonstrating that, in contrast to humans and mice, in chickens BAFF is also required for the development of immature B cells. Collectively, we show that chBAFF has phylogenetically conserved functions in mature B cell homeostasis but displays unique and thus far unknown properties in the regulation of B cell development in birds.

Effects of uncertain lifetime and annuity insurance on capital accumulation and growth

This paper studies the effects of uncertain lifetime on capitalaccumulation and growth and also the sensitivity of thoseeffects to the existence of a perfect annuities market. Themodel is an overlapping generations model with uncertainlifetimes. The technology is convex and such that the marginalproduct of capital is bounded away from zero. A contribution ofthis paper is to show that the existence of accidental bequestsmay lead the economy to an equilibrium that exhibits asymptoticgrowth, which is impossible in an economy with a perfect annuitiesmarket or with certain lifetimes. This paper also shows that ifindividuals face a positive probability of surviving in everyperiod, they may be willing to save at any age. This effect ofuncertain lifetime on savings may also lead the economy to anequilibrium exhibiting asymptotic growth even if there exists aperfect annuities market.

Growth accounting in items of turbulence and death: efficiency, technology, capital accumulation and human capital 1929-1950

We employ a non-parametrical approach to growth accounting (Data Envelopment Analysis,DEA) to disentangle the proximate sources of labour productivity growth in 41 nationsbetween 1929 and 1950 by decomposing productivity growth into four components:technological change; efficiency catch-up (movements towards the production frontier),capital accumulation and human capital accumulation. We show that efficiency catch-upgenerally explains productivity growth, whereas technological change and factoraccumulation were limited and distorted by the effects of war. War clearly hamperedefficiency. Moreover, an unbalanced ratio of human capital to physical capital (a gap to thetechnological leader) was crucial for efficiency catching-up.

Location of multiple server common service centers or public facilities for minimizing general congestion and travel cost functions

We propose a model and solution methods, for locating a fixed number ofmultiple-server, congestible common service centers or congestible publicfacilities. Locations are chosen so to minimize consumers congestion (orqueuing) and travel costs, considering that all the demand must be served.Customers choose the facilities to which they travel in order to receiveservice at minimum travel and congestion cost. As a proxy for thiscriterion, total travel and waiting costs are minimized. The travel costis a general function of the origin and destination of the demand, whilethe congestion cost is a general function of the number of customers inqueue at the facilities.

The domain and interpretation of utility functions: An exploration

This paper proposes an exploration of the methodology of utilityfunctions that distinguishes interpretation from representation. Whilerepresentation univocally assigns numbers to the entities of the domainof utility functions, interpretation relates these entities withempirically observable objects of choice. This allows us to makeexplicit the standard interpretation of utility functions which assumesthat two objects have the same utility if and only if the individual isindifferent among them. We explore the underlying assumptions of suchan hypothesis and propose a non-standard interpretation according towhich objects of choice have a well-defined utility although individualsmay vary in the way they treat these objects in a specific context.We provide examples of such a methodological approach that may explainsome reversal of preferences and suggest possible mathematicalformulations for further research.

Setting standards: Information accumulation in development

We propose a model in which economic relations and institutions in advancedand less developed economies differ as these societies have access to different amounts of information. This lack of information makes it hard to give the right incentives to managers and entrepreneurs. We argue that differences in the amount of information arise because of the differences in the scale of activities in rich and poor economies; namely, there is too little repetition of similar activities in pooreconomies, thus insufficient information to set the appropriate standards for firm performance. Our model predicts a number of institutional and structural transformations as the economy accumulates capital and information.

Job search and asset accumulation under borrowing constraints

In this paper I show how borrowing constraints and job search interact.I fit a dynamic model to data from the National Longitudinal Survey(1979-cohort) and show that borrowing constraints are significant. Agentswith more initial assets and more access to credit attain higher wagesfor several periods after high school graduation. The unemployed maintaintheir consumption by running down their assets, while the employed saveto buffer against future unemployment spells. I also show that, unlikein models with exogenous income streams, unemployment transfers, byallowing agents to attain higher wages do not 'crowd out' but increasesaving.

MACROPHAGES FROM CROHN'S DISEASE PATIENTS EXHIBIT DEFICIENT REPAIR FUNCTIONS

AbstractBackground: Mucosal healing is becoming a major goal in the treatment of Crohn's disease. It has been previously reported that myeloid cells induce mucosal healing in a mouse model of acute colitis. The aim in this study is to investigate the pro-repair function of myeloid cells in healthy donors (HD) and Crohn's disease patients (CD).Methods: Peripheral blood mononuclear cells (PBMC) from HD and CD patients were isolated from blood samples and tested either directly or after differentiation ex-vivo into macrophages (Μφ). Intestinal macrophages (IMACs) were isolated from the bowel mucosa of patients undergoing intestinal surgical resections. Through an in vitro wound healing assay the repairing ability of these various human myeloid cells and the mechanisms responsible of wound healing were evaluated.Results: PBMC and myeloid CD14+ cells from HD and CD were not able to repair at any tested cell concentration. Μφ from HD and ulcerative colitis (UC) patients were able to induce wound healing and this capacity was partially mediated by Hepatocyte Growth Factor (HGF). Remarkably, CD Μφ were unable to promote wound healing and produced lower levels of HGF as compared to Μφ from HD or UC patients. In particular, Μφ from CD in active phase (ACD) exhibited the weakest repair function, but this defect was rescued if rh- GM-CSF was added during the differentiation of PBMCs. Interestingly, IMACs from HD promoted wound healing and produced HGF.Conclusion: We demonstrated that CD Μφ, unlike HD or UC Μφ, were defective in promoting wound healing, in particular if coming from an ACD. This deficient pro-repair function was related to a lower production of HGF. IMACs from HD colonic mucosa induced wound healing, confirming the results obtained with Μφ. Our results are in keeping with the current theory of CD as an innate immunodeficiency. In this context, Μφ may be responsible for the mucosal repair defects observed in CD patients and for the subsequent chronic activation of the adaptive immune response.

Effects of (p)ppGpp on the progression of the cell cycle of Caulobacter crescentus.

Bacteria must control the progression of their cell cycle in response to nutrient availability. This regulation can be mediated by guanosine tetra- or pentaphosphate [(p)ppGpp], which are synthesized by enzymes of the RelA/SpoT homologue (Rsh) family, particularly under starvation conditions. Here, we study the effects of (p)ppGpp on the cell cycle of Caulobacter crescentus, an oligotrophic bacterium with a dimorphic life cycle. C. crescentus divides asymmetrically, producing a motile swarmer cell that cannot replicate its chromosome and a sessile stalked cell that is replication competent. The swarmer cell rapidly differentiates into a stalked cell in appropriate conditions. An artificial increase in the levels of (p)ppGpp in nonstarved C. crescentus cells was achieved by expressing a truncated relA gene from Escherichia coli, encoding a constitutively active (p)ppGpp synthetase. By combining single-cell microscopy, flow cytometry approaches, and swarming assays, we show that an increase in the intracellular concentration of (p)ppGpp is sufficient to slow down the swarmer-to-stalked cell differentiation process and to delay the initiation of chromosome replication. We also present evidence that the intracellular levels of two master regulators of the cell cycle of C. crescentus, DnaA and CtrA, are modulated in response to (p)ppGpp accumulation, even in the absence of actual starvation. CtrA proteolysis and DnaA synthesis seem indirectly inhibited by (p)ppGpp accumulation. By extending the life span of the motile nonreproductive swarmer cell and thus promoting dispersal and foraging functions over multiplication under starvation conditions, (p)ppGpp may play a central role in the ecological adaptation of C. crescentus to nutritional stresses.

Study of a sialyltransferase ST3GAL6, in adipogenesis and obesity

RésuméL'obésité et les maladies métaboliques qui lui sont associées tels que le diabète ou les maladies cardiovasculaires ont un impact épidémiologique croissant. Ainsi, les mécanismes moléculaires se produisant dans le tissu adipeux en expansion font l'objet de nombreuses investigations. Dans ce contexte, nous nous sommes particulièrement intéressés à l'adipogénèse, le procédé permettant la formation d'adipocytes matures et fonctionnels. Le gène St3gal6 code pour une enzyme appelée β-galactosidase a2,3-sialyltransferase 6 et participant à la voie de glycosylation. Cette protéine appartient à la famille des a2,3- sialyltransferases dont la fonction principale est de transférer un acide sialique à l'extrémité de chaînes glycosidiques présentes sur les glycoprotéines et les glycolipides. Dans une précédente étude de transcriptomique réalisée chez la souris, St3gal6 a été décrit comme un gène dont l'expression est augmentée dans le tissu adipeux blanc d'animaux en surpoids et dont l'expression est normalisée après une perte de poids. Afin d'étudier le rôle potentiel de St3gal6 dans le développement du tissu adipeux, nous nous sommes intéressés à la régulation de son expression en cas d'obésité ainsi qu'à ses effets sur l'adipogénèse. Nous avons d'abord montré que St3gal6 s'exprime aussi bien dans le tissu adipeux blanc que dans le tissu adipeux brun. Puis nous avons confirmé dans deux différents modèles animaux que l'expression de St3gal6 dans le tissu adipeux était augmentée en cas d'obésité. Nous avons aussi observé in vitro une induction de St3gal6 dans des adipocytes traités par des cytokines pro-inflammatoires sécrétées dans le tissu adipeux d'individus obèses. Enfin, parmi les six membres que compte la famille des a2,3-sialyltransferases, St3gal6 est celui dont l'expression est la plus significativement induite en situation d'obésité. En outre, au cours de la différenciation des adipocytes blancs et bruns, l'expression de St3gal6 est augmentée et son inhibition réduit le potentiel de maturation des adipocytes qui accumulent moins de lipides. A l'inverse, la surexpression de St3gal6 dans des préadipocytes blancs augmente leur taux de différenciation in vitro; la formation de gouttelettes lipidiques et l'expression de genes spécifiques de l'adipocyte mature sont accrues. Enfin, le traitement d'adipocytes blancs in vitro avec un inhibiteur pharmacologique des a2,3-sialyltransferases ou une sialidase clivant les résidus sialylés montre qu'un défaut de a2,3-sialylation affectant les adipocytes diminue leur potentiel adipogénique. Par conséquent, ces résultats suggèrent que St3gal6 est impliqué dans la voie de différenciation des adipocytes et que cette a2,3-sialylation joue un rôle dans le remodelage du tissu adipeux induit par l'obésité.AbstractIn order to better understand molecular events occurring in obesity and leading to its associated complications, we were interested in the biology of adipose tissue and particularly in the study of adipogenesis, the process by which new mature adipocytes develop and accumulate lipids.The β-galactosidase a2,3-sialyltransferase 6 (St3gal6) gene encodes for an enzyme involved in post-translational protein glycosylation. Thereby, St3gal6 enzyme belongs to the a2,3sialyltransferase family whose function is to add sialic acids at outer position on glycosidic chain of glycoproteins or glycolipids. Previously, in mouse, St3gal6 has been described as a gene whose expression in white adipose tissue is increased in overweighted animals and normalized after weight loss. Therefore, we have assumed that St3gal6 may play a role in adipose tissue development and in tissue remodelling triggered by obesity. First we show that St3gal6 is expressed in white but also in brown adipose tissue. St3gal6 upregulation upon weight gain was confirmed in two mouse models of obesity namely diet- induced and genetically-induced obesity. We also report that St3gal6 is induced by pro¬inflammatory cytokines known to be oversecreted in adipose tissue during obesity. Furthermore, St3gal6 is the a2,3-sialyltransferase whose expression is more markedly induced in adipose tissue. In addition, we demonstrate that St3gl6 expression is progressively increased in late stages of white and brown adipogenesis while St3gal6 knockdown inhibits adipocyte differentiation in vitro. Conversely, St3gal6 overexpression in a white preadipocyte cell line increases lipid accumulation during differentiation process and enhances gene expression of mature white adipocyte markers. Finally, using an a2-3 sialyltransferase inhibitor and a sialidase treatment on white adipocyte cell line, we observe that a decreased a2,3-sialylation impairs adipocyte differentiation in vitro. Altogether, these result suggest that St3gal6 plays a role in adipogenesis and in tissue remodelling associated with obesity likely through its enzymatic activity of a2,3-sialylation. Thus, a2,3-sialylation appears as a novel pathway of interest whose precise molecular mechanisms remain to be elucidated in the context of adipose tissue development and adipocyte functions.

Orosomucoid (alpha1-acid glycoprotein) plasma concentration and genetic variants: effects on human immunodeficiency virus protease inhibitor clearance and cellular accumulation.

BACKGROUND AND OBJECTIVE: Protease inhibitors are highly bound to orosomucoid (ORM) (alpha1-acid glycoprotein), an acute-phase plasma protein encoded by 2 polymorphic genes, which may modulate their disposition. Our objective was to determine the influence of ORM concentration and phenotype on indinavir, lopinavir, and nelfinavir apparent clearance (CL(app)) and cellular accumulation. Efavirenz, mainly bound to albumin, was included as a control drug. METHODS: Plasma and cells samples were collected from 434 human immunodeficiency virus-infected patients. Total plasma and cellular drug concentrations and ORM concentrations and phenotypes were determined. RESULTS: Indinavir CL(app) was strongly influenced by ORM concentration (n = 36) (r2 = 0.47 [P = .00004]), particularly in the presence of ritonavir (r2 = 0.54 [P = .004]). Lopinavir CL(app) was weakly influenced by ORM concentration (n = 81) (r2 = 0.18 [P = .0001]). For both drugs, the ORM1 S variant concentration mainly explained this influence (r2 = 0.55 [P = .00004] and r2 = 0.23 [P = .0002], respectively). Indinavir CL(app) was significantly higher in F1F1 individuals than in F1S and SS patients (41.3, 23.4, and 10.3 L/h [P = .0004] without ritonavir and 21.1, 13.2, and 10.1 L/h [P = .05] with ritonavir, respectively). Lopinavir cellular exposure was not influenced by ORM abundance and phenotype. Finally, ORM concentration or phenotype did not influence nelfinavir (n = 153) or efavirenz (n = 198) pharmacokinetics. CONCLUSION: ORM concentration and phenotype modulate indinavir pharmacokinetics and, to a lesser extent, lopinavir pharmacokinetics but without influencing their cellular exposure. This confounding influence of ORM should be taken into account for appropriate interpretation of therapeutic drug monitoring results. Further studies are needed to investigate whether the measure of unbound drug plasma concentration gives more meaningful information than total drug concentration for indinavir and lopinavir.

Predicting stroke through genetic risk functions: the CHARGE Risk Score Project.

BACKGROUND AND PURPOSE: Beyond the Framingham Stroke Risk Score, prediction of future stroke may improve with a genetic risk score (GRS) based on single-nucleotide polymorphisms associated with stroke and its risk factors. METHODS: The study includes 4 population-based cohorts with 2047 first incident strokes from 22,720 initially stroke-free European origin participants aged ≥55 years, who were followed for up to 20 years. GRSs were constructed with 324 single-nucleotide polymorphisms implicated in stroke and 9 risk factors. The association of the GRS to first incident stroke was tested using Cox regression; the GRS predictive properties were assessed with area under the curve statistics comparing the GRS with age and sex, Framingham Stroke Risk Score models, and reclassification statistics. These analyses were performed per cohort and in a meta-analysis of pooled data. Replication was sought in a case-control study of ischemic stroke. RESULTS: In the meta-analysis, adding the GRS to the Framingham Stroke Risk Score, age and sex model resulted in a significant improvement in discrimination (all stroke: Δjoint area under the curve=0.016, P=2.3×10(-6); ischemic stroke: Δjoint area under the curve=0.021, P=3.7×10(-7)), although the overall area under the curve remained low. In all the studies, there was a highly significantly improved net reclassification index (P<10(-4)). CONCLUSIONS: The single-nucleotide polymorphisms associated with stroke and its risk factors result only in a small improvement in prediction of future stroke compared with the classical epidemiological risk factors for stroke.

Dipeptidyl-peptidase-IV by cleaving neuropeptide Y induces lipid accumulation and PPAR-γ expression.

We evaluated the effects of dipeptidyl peptidase-IV (DPPIV), and its inhibitor, vildagliptin, on adipogenesis and lipolysis in a pre-adipocyte murine cell line (3T3-L1). The exogenous rDPPIV increased lipid accumulation and PPAR-γ expression, whereas an inhibitor of DPPIV, the anti-diabetic drug vildagliptin, suppresses the stimulatory role of DPPIV on adipogenesis and lipid accumulation, but had no effect on lipolysis. NPY immunoneutralization or NPY Y(2) receptor blockage inhibited DPPIV stimulatory effects on lipid accumulation, collectively, indicating that DPPIV has an adipogenic effect through NPY cleavage and subsequent NPY Y(2) activation. Vildagliptin inhibits PPAR-γ expression and lipid accumulation without changing lipolysis, suggesting that this does not impair the ability of adipose tissue to store triglycerides inside lipid droplets. These data indicate that DPPIV and NPY interact on lipid metabolism to promote adipose tissue depot.