Reduction, Linearization and stability of relative equilibria for mechanical systems on riemannian manifolds

Consider a Riemannian manifold equipped with an infinitesimal isometry. For this setup, a unified treatment is provided, solely in the language of Riemannian geometry, of techniques in reduction, linearization, and stability of relative equilibria. In particular, for mechanical control systems, an explicit characterization is given for the manner in which reduction by an infinitesimal isometry, and linearization along a controlled trajectory "commute." As part of the development, relationships are derived between the Jacobi equation of geodesic variation and concepts from reduction theory, such as the curvature of the mechanical connection and the effective potential. As an application of our techniques, fiber and base stability of relative equilibria are studied. The paper also serves as a tutorial of Riemannian geometric methods applicable in the intersection of mechanics and control theory.

Reduction of periodic difference systems to linear or autonomous ones

We extend Floquet theory for reducing nonlinear periodic difference systems to autonomous ones (actually linear) by using normal form theory.

MB-MDR: Model-Based Multifactor Dimensionality Reduction for detecting interactions in high-dimensional genomic data

L’anàlisi de l’efecte dels gens i els factors ambientals en el desenvolupament de malalties complexes és un gran repte estadístic i computacional. Entre les diverses metodologies de mineria de dades que s’han proposat per a l’anàlisi d’interaccions una de les més populars és el mètode Multifactor Dimensionality Reduction, MDR, (Ritchie i al. 2001). L’estratègia d’aquest mètode és reduir la dimensió multifactorial a u mitjançant l’agrupació dels diferents genotips en dos grups de risc: alt i baix. Tot i la seva utilitat demostrada, el mètode MDR té alguns inconvenients entre els quals l’agrupació excessiva de genotips pot fer que algunes interaccions importants no siguin detectades i que no permet ajustar per efectes principals ni per variables confusores. En aquest article il•lustrem les limitacions de l’estratègia MDR i d’altres aproximacions no paramètriques i demostrem la conveniència d’utilitzar metodologies parametriques per analitzar interaccions en estudis cas-control on es requereix l’ajust per variables confusores i per efectes principals. Proposem una nova metodologia, una versió paramètrica del mètode MDR, que anomenem Model-Based Multifactor Dimensionality Reduction (MB-MDR). La metodologia proposada té com a objectiu la identificació de genotips específics que estiguin associats a la malaltia i permet ajustar per efectes marginals i variables confusores. La nova metodologia s’il•lustra amb dades de l’Estudi Espanyol de Cancer de Bufeta.

Weight loss and survival of Biomphalaria Glabrata deprived of water

Immature and mature Biomphalaria glabrata are kept out of water at relative humidities varying from 0 to 100%. When snails are submitted to a saturated atmosphere, they show a slow weight loss and survival may be long. If relative humidity (RH) decreases, weight loss becomes important and survival is short. A reduced RH (0 to 65%) produces similar effects. During desiccation, fasting has no noticeable effect; survival depends essentially on weight loss.

Loss of Cutaneous TSLP-Dependent Immune Responses Skews the Balance of Inflammation from Tumor Protective to Tumor Promoting.

Inflammation can promote or inhibit cancer progression. In this study we have addressed the role of the proinflammatory cytokine thymic stromal lymphopoietin (TSLP) during skin carcinogenesis. Using conditional loss- and gain-of-function mouse models for Notch and Wnt signaling, respectively, we demonstrate that TSLP-mediated inflammation protects against cutaneous carcinogenesis by acting directly on CD4 and CD8 T cells. Genetic ablation of TSLP receptor (TSLPR) perturbs T-cell-mediated protection and results in the accumulation of CD11b(+)Gr1(+) myeloid cells. These promote tumor growth by secreting Wnt ligands and augmenting β-catenin signaling in the neighboring epithelium. Epithelial specific ablation of β-catenin prevents both carcinogenesis and the accumulation of CD11b(+)Gr1(+) myeloid cells, suggesting tumor cells initiate a feed-forward loop that induces protumorigenic inflammation.

Exercice physique et athérosclérose : quels sont les mécanismes physiologiques et moléculaires de l'exercice qui préviennent et protègent de l'athérosclérose? : approche chez un modèle expérimental d'athérosclérose : la souris génétiquement dépourvue en apolipoprotéine E (apoE-/-)

RESUME : L'athérosclérose, pathologie inflammatoire artérielle chronique, est à l'origine de la plupart des maladies cardiovasculaires qui constituent l'une des premières causes de morbidité et mortalité en France. Les études observationnelles et expérimentales montrent que l'exercice physique prévient la mortalité cardiovasculaire. Cependant, les mécanismes précisant les bénéfices cliniques de l'exercice sur l'athérosclérose sont encore largement inconnus. Le but général de ce travail a donc été d'explorer, en utilisant un modèle expérimental d'athérosclérose, la souris hypercholestérolémique génétiquement dépourvue en apolipoprotéine E (apoE-/-), les mécanismes athéroprotecteurs de l'exercice. La dysfonction endothéliale, généralement associée aux facteurs de risque cardiovasculaire, serait l'une des étapes précoces majeures de l'athérogenèse. Elle est caractérisée par une diminution de la biodisponibilité en monoxyde d'azote (NO) avec la perte de ses propriétés vasculo-protectrices, ce qui favorise un climat pro-athérogène (stress oxydatif, adhésion et infiltration des cellules inflammatoires dans la paroi artérielle...) conduisant à la formation de la plaque athéromateuse. L'objectif de notre premier travail a donc été d'explorer les effets de l'exercice d'une part, sur le développement des plaques athéromateuses et d'autre part, sur la fonction endothéliale de la souris apoE-/-. Nos résultats montrent que l'exercice réduit significativement l'extension de l'athérosclérose et prévient la dysfonction endothéliale. L'explication pharmacologique montre que l'exercice stimule la fonction endothéliale via, notamment, une plus grande sensibilité des récepteurs endothéliaux muscariniques, ce qui active les événements signalétiques cellulaires récepteurs-dépendants à l'origine d'une bioactivité accrue de NO. Les complications cliniques graves de l'athérosclérose sont induites par la rupture de la plaque instable provoquant la formation d'un thrombus occlusif et l'ischémie du territoire tissulaire en aval. L'objectif de notre deuxième travail a été d'examiner l'effet de l'exercice sur la qualité/stabilité de la plaque. Nos résultats indiquent que l'exercice de longue durée stabilise la plaque en augmentant le nombre de cellules musculaires lisses et en diminuant le nombre de macrophages intra-plaques. Nos résultats montrent aussi que la phosphorylation de la eNOS (NO Synthase endothéliale) Akt-dépendante n'est pas le mécanisme moléculaire majeur à l'origine de ce bénéfice. Enfin, dans notre troisième travail, nous avons investigué l'effet de l'exercice sur le développement de la plaque vulnérable. Nos résultats montrent, chez un modèle murin de plaque instable (modèle d'hypertension rénovasculaire à rénine et angiotensine II élevés) que l'exercice prévient l'apparition de la plaque vulnérable indépendamment d'un effet hémodynamique. Ce bénéfice serait associé à une diminution de l'expression vasculaire des récepteurs AT1 de l'Angiotensine II. Nos résultats justifient l'importance de l'exercice comme outil préventif des maladies cardiovasculaires. ABSTRACT : Atherosclerosis, a chronic inflammatory disease, is one of the main causes of morbidity and mortality in France. Observational and experimental data indicate that regular physical exercise has a positive impact on cardiovascular mortality. However, the mechanisms by which exercise exerts clinical benefits on atherosclerosis are still unknown. The general aim of this work was to elucidate the anti-atherosclerotic effects of exercise, using a mouse model of atherosclerosis: the apolipoprotein E-deficient mice (apoE-/- mice). Endothelial dysfunction, generally associated with cardiovascular risk factors, has been recognized to be a major and early step in atherogenesis. Endothelial dysfunction is characterized by Nitric Oxide (NO) biodisponibility reduction with loss of NO-mediated vasculoprotective actions. This leads to vascular effects such as increased oxidative stress and increased adhesion of inflammatory cells into arterial wall thus playing a role in atherosclerotic plaque development. Therefore, one of the objective of our study was to explore the effects of exercise on atherosclerotic plaque extension and on endothelial function in apoE-/- mice. Results show that exercise significantly reduces plaque progression and prevents endothelial dysfunction. Pharmacological explanation indicates that exercise stimulates endothelial function by increasing muscarinic receptors sensitivity which in turn activates intracellular signalling receptor-dependent events leading to increased NO bioactivity. The clinical manifestations of atherosclerosis are the consequences of unstable plaque rupture with thrombus formation leading to tissue ischemia. The second aim of our work was to determine the effect of exercise on plaque stability. We demonstrate that long-term exercise stabilizes atherosclerotic plaques as shown by decreased macrophage and increased Smooth Muscle Cells plaque content. Our results also suggest that the Akt-dependent eNOS phosphorylation pathway is not the primary molecular mechanism mediating these beneficial effects. Finally, we assessed a putative beneficial effect of exercise on vulnerable plaque development. In a mouse model of Angiotensine II (Ang II)-mediated vulnerable atherosclerotic plaques, we provide fist evidence that exercise prevents atherosclerosis progression and plaque vulnerability. The beneficial effect of swimming was associated with decreased aortic Ang II AT1 receptor expression independently from any hemodynamic change. These findings suggest clinical benefit of exercise in terms of cardiovascular event protection.

IB1/JIP-1 controls JNK activation and increased during prostatic LNCaP cells neuroendocrine differentiation.

The scaffold protein Islet-Brain1/c-Jun amino-terminal kinase Interacting Protein-1 (IB1/JIP-1) is a modulator of the c-Jun N-terminal kinase (JNK) activity, which has been implicated in pleiotrophic cellular functions including cell differentiation, division, and death. In this study, we described the presence of IB1/JIP-1 in epithelium of the rat prostate as well as in the human prostatic LNCaP cells. We investigated the functional role of IB1/JIP-1 in LNCaP cells exposed to the proapoptotic agent N-(4-hydroxyphenyl)retinamide (4-HPR) which induced a reduction of IB1/JIP-1 content and a concomittant increase in JNK activity. Conversely, IB1/JIP-1 overexpression using a viral gene transfer prevented the JNK activation and the 4-HPR-induced apoptosis was blunted. In prostatic adenocarcinoma cells, the neuroendocrine (NE) phenotype acquisition is associated with tumor progression and androgen independence. During NE transdifferentiation of LNCaP cells, IB1/JIP-1 levels were increased. This regulated expression of IB1/JIP-1 is secondary to a loss of the neuronal transcriptional repressor neuron restrictive silencing factor (NRSF/REST) function which is known to repress IB1/JIP-1. Together, these results indicated that IB1/JIP-1 participates to the neuronal phenotype of the human LNCaP cells and is a regulator of JNK signaling pathway.

Label Space Reduction in All-Optical Label Switchiing Networks

Report for the scientific sojourn at the Department of Information Technology (INTEC) at the Ghent University, Belgium, from january to june 2007. All-Optical Label Swapping (AOLS) forms a key technology towards the implementation of All-Optical Packet Switching nodes (AOPS) for the future optical Internet. The capital expenditures of the deployment of AOLS increases with the size of the label spaces (i.e. the number of used labels), since a special optical device is needed for each recognized label on every node. Label space sizes are affected by the wayin which demands are routed. For instance, while shortest-path routing leads to the usage of fewer labels but high link utilization, minimum interference routing leads to the opposite. This project studies and proposes All-Optical Label Stacking (AOLStack), which is an extension of the AOLS architecture. AOLStack aims at reducing label spaces while easing the compromise with link utilization. In this project, an Integer Lineal Program is proposed with the objective of analyzing the softening of the aforementioned trade-off due to AOLStack. Furthermore, a heuristic aiming at finding good solutions in polynomial-time is proposed as well. Simulation results show that AOLStack either a) reduces the label spaces with a low increase in the link utilization or, similarly, b) uses better the residual bandwidth to decrease the number of labels even more.

Metabolic and respiratory effects of infused sodium acetate in healthy human subjects.

The metabolic and respiratory effects of intravenous 0.5 M sodium acetate (at a rate of 2.5 mmol/min during 120 min) were studied in nine normal human subjects. O2 consumption (VO2) and CO2 production (VCO2) were measured continuously by open-circuit indirect calorimetry. VO2 increased from 251 +/- 9 to 281 +/- 9 ml/min (P < 0.001), energy expenditure increased from 4.95 +/- 0.17 kJ/min baseline to 5.58 +/- 0.16 kJ/min (P < 0.001), and VCO2 decreased nonsignificantly (211 +/- 7 ml/min vs. 202 +/- 7 ml/min, NS). The extrapulmonary CO2 loss (i.e., bicarbonate generation and excretion) was estimated at 48 +/- 5 ml/min. This observation is consistent with 1 mol of bicarbonate generated from 1 mol of acetate metabolized. Alveolar ventilation decreased from 3.5 +/- 0.2 l/min basal to 3.1 +/- 0.2 l/min (P < 0.001). The minute ventilation (VE) to VO2 ratio decreased from 22.9 +/- 1.3 to 17.6 +/- 0.9 l/l (P < 0.005), arterial PO2 decreased from 93.2 +/- 1.9 to 78.7 +/- 1.6 mmHg (P < 0.0001), arterial PCO2 increased from 39.2 +/- 0.7 to 42.1 +/- 1.1 mmHg (P < 0.0001), pH from 7.40 +/- 0.005 to 7.50 +/- 0.007 (P < 0.005), and arterial bicarbonate concentration from 24.2 +/- 0.7 to 32.9 +/- 1.1 (P < 0.0001). These observations indicate that sodium acetate infusion results in substantial extrapulmonary CO2 loss, which leads to a relative decrease of total and alveolar ventilation.

An extension of the Marsden-Ratiu reduction for Poisson manifolds

We propose a generalization of the reduction of Poisson manifolds by distributions introduced by Marsden and Ratiu. Our proposal overcomes some of the restrictions of the original procedure, and makes the reduced Poisson structure effectively dependent on the distribution. Different applications are discussed, as well as the algebraic interpretation of the procedure and its formulation in terms of Dirac structures.

Gastric supply manipulation to modulate ghrelin production and enhance vascularization to the cardia: proof of the concept in a porcine model.

Introduction. Selective embolization of the left-gastric artery (LGA) reduces levels of ghrelin and achieves significant short-term weight loss. However, embolization of the LGA would prevent the performance of bariatric procedures because the high-risk leakage area (gastroesophageal junction [GEJ]) would be devascularized. Aim. To assess an alternative vascular approach to the modulation of ghrelin levels and generate a blood flow manipulation, consequently increasing the vascular supply to the GEJ. Materials and methods. A total of 6 pigs underwent a laparoscopic clipping of the left gastroepiploic artery. Preoperative and postoperative CT angiographies were performed. Ghrelin levels were assessed perioperatively and then once per week for 3 weeks. Reactive oxygen species (ROS; expressed as ROS/mg of dry weight [DW]), mitochondria respiratory rate, and capillary lactates were assessed before and 1 hour after clipping (T0 and T1) and after 3 weeks of survival (T2), on seromuscular biopsies. A celiac trunk angiography was performed at 3 weeks. Results. Mean (±standard deviation) ghrelin levels were significantly reduced 1 hour after clipping (1902 ± 307.8 pg/mL vs 1084 ± 680.0; P = .04) and at 3 weeks (954.5 ± 473.2 pg/mL; P = .01). Mean ROS levels were statistically significantly decreased at the cardia at T2 when compared with T0 (0.018 ± 0.006 mg/DW vs 0.02957 ± 0.0096 mg/DW; P = .01) and T1 (0.0376 ± 0.008mg/DW; P = .007). Capillary lactates were significantly decreased after 3 weeks, and the mitochondria respiratory rate remained constant over time at the cardia and pylorus, showing significant regional differences. Conclusions. Manipulation of the gastric flow targeting the gastroepiploic arcade induces ghrelin reduction. An endovascular approach is currently under evaluation.

Macronutrients and energy balance in obesity.

Energy balance is the difference between metabolizable energy intake and total energy expenditure. Energy intake is difficult to measure accurately; changes in body weight, for example, are not a good measure of the adequacy of energy intake, because fluctuations in body weight are common even if the overall trend is toward weight loss. It is now customary to assess energy requirements indirectly from total energy expenditure. Total energy expenditure consists of basal metabolism, postprandial thermogenesis, and physical activity. Energy expenditure is related to both body weight and body composition. A reduction in total energy expenditure accompanies weight loss, because basal metabolic rate decreases with the loss of lean tissue mass. Similarly, with weight gain, there is an increase in basal metabolic rate, because lean tissue mass grows to support the increase in fat tissue mass. Excess energy intake over energy expenditure causes weight gain and an accompanying increase in total energy expenditure. Following a period of adaptation, total energy expenditure will match energy intake and body weight will stabilize at a higher level. This same relationship holds for weight loss. Respiratory quotient (measured in steady state) is an indication of the proportion of energy expenditure derived from fat and carbohydrate oxidation. Over long periods of time, fat balance is equivalent to energy balance, as an excess of fat intake over fat oxidation causes fat storage.

Fatigue et réduction de la performance motrice chez le sportif, syndrome de surentraînement [Fatigue and reduction in motor performance in sportspeople or overtraining syndrome].

The main goal of training activities is to improve motor performance. After strenuous workouts, it is physiological to experience fatigue, which relieves within two weeks, and then induce an improvement in motor capacities. An overtraining syndrome is diagnosed when fatigue is postponed beyond two weeks, and affects mainly endurance athletes. It is a condition of chronic fatigue, underperformance and an increased vulnerability to infection leading to recurrent infections. The whole observed spectrum of symptoms is physiological, psychological, endocrinogical and immunological. All play a role in the failure to recover. Monitoring of athletes activities helps to prevent the syndrome with days with no sports. Rest, patience and empathy are the only ways of treatment options.