A parameterization method for the computation of invariant tori and their whiskers in quasi-periodic maps: explorations and mechanisms for the breakdown of hyperbolicity

In two previous papers [J. Differential Equations, 228 (2006), pp. 530 579; Discrete Contin. Dyn. Syst. Ser. B, 6 (2006), pp. 1261 1300] we have developed fast algorithms for the computations of invariant tori in quasi‐periodic systems and developed theorems that assess their accuracy. In this paper, we study the results of implementing these algorithms and study their performance in actual implementations. More importantly, we note that, due to the speed of the algorithms and the theoretical developments about their reliability, we can compute with confidence invariant objects close to the breakdown of their hyperbolicity properties. This allows us to identify a mechanism of loss of hyperbolicity and measure some of its quantitative regularities. We find that some systems lose hyperbolicity because the stable and unstable bundles approach each other but the Lyapunov multipliers remain away from 1. We find empirically that, close to the breakdown, the distances between the invariant bundles and the Lyapunov multipliers which are natural measures of hyperbolicity depend on the parameters, with power laws with universal exponents. We also observe that, even if the rigorous justifications in [J. Differential Equations, 228 (2006), pp. 530-579] are developed only for hyperbolic tori, the algorithms work also for elliptic tori in Hamiltonian systems. We can continue these tori and also compute some bifurcations at resonance which may lead to the existence of hyperbolic tori with nonorientable bundles. We compute manifolds tangent to nonorientable bundles.

Cardiovascular mechanisms of death in severe COPD exacerbation: time to think and act beyond guidelines.

Three important studies on acute exacerbations of chronic obstructive pulmonary disease (ECOPD)have been published in Thorax. Two of them, by Chang et al1(see page 764) and Hoiset et al2 (see page 775), show the importance of the cardiac biomarkers troponin T and NT-BNP (Nterminal pro-B-type natriuretic peptide) as strong predictors of the increased risk of death of patients hospitalised because of ECOPD.1 2.....

Highly textured Sr, Nb, co-doped BiFeO3 thin films grown on SrRuO3/Si substrates by rf-sputtering

In this study, (011)-highly oriented Sr, Nb co-doped BiFeO3 (BFO) thin films were successfully grown on SrRuO3/Si substrates by rf-magnetron sputtering. The presence of parasite magnetic phases was ruled out based on the high resolution x-ray diffraction data. BFO films exhibited a columnar-like grain growth with rms surface roughness values of 5.3 nm and average grain sizes of 65-70 nm for samples with different thicknesses. Remanent polarization values (2Pr) of 54 lC cm 2 at room temperature were found for the BFO films with a ferroelectric behavior characteristic of an asymmetric device structure. Analysis of the leakage mechanisms for this structure in negative bias suggests Schottky injection and a dominant Poole-Frenkel trap-limited conduction at room temperature. Oxygen vacancies and Fe3þ/Fe2þ trap centers are consistent with the surface chemical bonding states analysis from x-ray photoelectron spectroscopy data. The (011)-BFO/ SrRuO3/Si film structure exhibits a strong magnetic interaction at the interface between the multiferroic film and the substrate layer where an enhanced ferromagnetic response at 5 K was observed. Zero-field cooled (ZFC) and field cooled (FC) magnetization curves of this film system revealed a possible spin glass behavior at spin freezing temperatures below 30 K depending on the BFO film thickness.

The antilipolytic effect of insulin and epidermal growth factor in rat adipocytes are mediated by different mechanisms

Epidermal growth factor (EGF) and insulin induced similar effects in isolated rat adipocytes. To determine whether EGF and insulin produced similar effects through the same mechanisms, we focused on lipolysis. Insulin inhibited the lipolysis stimulated by isoproterenol, glucagon (either alone or in combination with adenosine deaminase), adenosine deaminase itself, or forskolin. In contrast, EGF did not inhibit the lipolysis stimulated by forskolin or by hormones when the cells were also incubated with adenosine deaminase. The effect of insulin, but not that of EGF, on isoproterenol-stimulated lipolysis disappeared when adipocytes were incubated with 1 microM wortmannin. These results indicate that EGF and insulin affected lipolysis through different mechanisms. We observed that EGF, but not insulin, increased cytosolic Ca2+. The effect of EGF, but not that of insulin, disappeared when the cells were incubated in a Ca2+-free medium. We suggest that EGF, but not insulin, mediate its antilipolytic effect through a Ca2+-dependent mechanism which, however, do not involve Ca2+-activated protein kinase C isoforms. This is based on the following: 1) phorbol 12-myristate 13-acetate affected lipolysis in an opposite way to that of EGF; and 2) the protein kinase C inhibitor bisindolylmaleimide GF 109203X did not affect the antilipolytic action of EGF. Our results indicate that the antilipolytic effect of EGF resembles more that of vasopressin than that of insulin.

Treatment of rats with a self-selected hyperlipidic diet, increases the lipid content of the main adipose tissue sites in a proportion similar to that of the lipids in the rest of organs and tissues

Adipose tissue (AT) is distributed as large differentiated masses, and smaller depots covering vessels, and organs, as well as interspersed within them. The differences between types and size of cells makes AT one of the most disperse and complex organs. Lipid storage is partly shared by other tissues such as muscle and liver. We intended to obtain an approximate estimation of the size of lipid reserves stored outside the main fat depots. Both male and female rats were made overweight by 4-weeks feeding of a cafeteria diet. Total lipid content was analyzed in brain, liver, gastrocnemius muscle, four white AT sites: subcutaneous, perigonadal, retroperitoneal and mesenteric, two brown AT sites (interscapular and perirenal) and in a pool of the rest of organs and tissues (after discarding gut contents). Organ lipid content was estimated and tabulated for each individual rat. Food intake was measured daily. There was a surprisingly high proportion of lipid not accounted for by the main macroscopic AT sites, even when brain, liver and BAT main sites were discounted. Muscle contained about 8% of body lipids, liver 1-1.4%, four white AT sites lipid 28-63% of body lipid, and the rest of the body (including muscle) 38-44%. There was a good correlation between AT lipid and body lipid, but lipid in"other organs" was highly correlated too with body lipid. Brain lipid was not. Irrespective of dietary intake, accumulation of body fat was uniform both for the main lipid storage and handling organs: large masses of AT (but also liver, muscle), as well as in the"rest" of tissues. These storage sites, in specialized (adipose) or not-specialized (liver, muscle) tissues reacted in parallel against a hyperlipidic diet challenge. We postulate that body lipid stores are handled and regulated coordinately, with a more centralized and overall mechanisms than usually assumed.

Extra Forces induced by wide-pulse, high-frequency electrical stimulation: Occurrence, magnitude, variability and underlying mechanisms.

OBJECTIVE: In contrast to conventional (CONV) neuromuscular electrical stimulation (NMES), the use of "wide-pulse, high-frequencies" (WPHF) can generate higher forces than expected by the direct activation of motor axons alone. We aimed at investigating the occurrence, magnitude, variability and underlying neuromuscular mechanisms of these "Extra Forces" (EF). METHODS: Electrically-evoked isometric plantar flexion force was recorded in 42 healthy subjects. Additionally, twitch potentiation, H-reflex and M-wave responses were assessed in 13 participants. CONV (25Hz, 0.05ms) and WPHF (100Hz, 1ms) NMES consisted of five stimulation trains (20s on-90s off). RESULTS: K-means clustering analysis disclosed a responder rate of almost 60%. Within this group of responders, force significantly increased from 4% to 16% of the maximal voluntary contraction force and H-reflexes were depressed after WPHF NMES. In contrast, non-responders showed neither EF nor H-reflex depression. Twitch potentiation and resting EMG data were similar between groups. Interestingly, a large inter- and intrasubject variability of EF was observed. CONCLUSION: The responder percentage was overestimated in previous studies. SIGNIFICANCE: This study proposes a novel methodological framework for unraveling the neurophysiological mechanisms involved in EF and provides further evidence for a central contribution to EF in responders.

Quantifying Social Asymmetric Structures

Many social phenomena involve a set of dyadic relations among agents whose actions may be dependent. Although individualistic approaches have frequently been applied to analyze social processes, these are not generally concerned with dyadic relations nor do they deal with dependency. This paper describes a mathematical procedure for analyzing dyadic interactions in a social system. The proposed method mainly consists of decomposing asymmetric data into their symmetrical and skew-symmetrical parts. A quantification of skew-symmetry for a social system can be obtained by dividing the norm of the skew-symmetrical matrix by the norm of the asymmetric matrix. This calculation makes available to researchers a quantity related to the amount of dyadic reciprocity. Regarding agents, the procedure enables researchers to identify those whose behavior is asymmetric with respect to all agents. It is also possible to derive symmetric measurements among agents and to use multivariate statistical techniques.

Mechanisms underlying cytotoxicity induced by engineered nanomaterials: a review of in vitro studies

Engineered nanomaterials are emerging functional materials with technologically interesting properties and a wide range of promising applications, such as drug delivery devices, medical imaging and diagnostics, and various other industrial products. However, concerns have been expressed about the risks of such materials and whether they can cause adverse effects. Studies of the potential hazards of nanomaterials have been widely performed using cell models and a range of in vitro approaches. In the present review, we provide a comprehensive and critical literature overview on current in vitro toxicity test methods that have been applied to determine the mechanisms underlying the cytotoxic effects induced by the nanostructures. The small size, surface charge, hydrophobicity and high adsorption capacity of nanomaterial allow for specific interactions within cell membrane and subcellular organelles, which in turn could lead to cytotoxicity through a range of different mechanisms. Finally, aggregating the given information on the relationships of nanomaterial cytotoxic responses with an understanding of its structure and physicochemical properties may promote the design of biologically safe nanostructures.

Ewing sarcoma cancer stem cells : from mechanisms to therapeutic targeting

Le sarcome d'Ewing (SE) est la 2ème tumeur des os la plus fréquente chez les enfants, et le pronostic est sombre au stade métastatique. La pathogenèse du SE repose sur une translocation, provocant la fusion du domaine activateur du facteur de transcription EWS, avec la partie liant l'ADN de la protéine FLI-1. Les cellules souches cancéreuses (CSC) sont supposées être les moteurs de la croissance tumorale, et représente de ce fait des cibles thérapeutiques préférentielles. Dans ce travail nous nous sommes efforcés de comprendre, ainsi que de cibler les mécanismes liés à l'émergence des CSC dans le sarcome d'Ewing. La formation des CSC du ES est liée à un défaut de maturation des miRNAs provoqué par une sous-expression d'un gène, TARBP2, dans les CSC. Ce défaut de maturation peut être corrigé par un traitement des cellules avec de l'enoxacine, une fluoroquinolone utilisée pour traiter les infections urinaires. L'enoxacine seule n'étant pas suffisante pour éradiquer les tumeurs in vivo, nous avons testé la combinaison d'une thérapie ciblée sur les CSC avec une chimiothérapie classique, la doxorubicine, ciblant les cellules différentiées. In vitro l'enoxacine induit l'apoptose dans les CCS sans affecter les cellules différentiées, alors que à l'inverse, la doxorubicine n'affecte que les cellules de la « masse » tumorale. In vivo la combinaison de ces deux drogues inhibe la croissance de tumeurs provenant de cellules primaires xenotranplantées et éradique les CSCs. Nos résultats mettent en lumière une nouvelle approche thérapeutique directement applicable pour le sarcome d'Ewing, et pourraient ainsi rapidement déboucher sur des essais cliniques. Dans la deuxième partie de ce travail nous avons essayé de comprendre comment EWS-FLI1, la protéine de fusion issue de la translocation chromosomique du sarcome d'Ewing conduit à la génération des CSC. Pour cela nous avons effectué des ChIPseq (immunoprecipitation de la chromatine suivi de séquençage) pour EWS-FLI1 ainsi que pour certaines modifications histoniques. -- Ewing sarcoma family tumors (ESFT) are the second most frequent bone tumors in children and have a high rate of recurrence when metastatic at presentation. The pathogenesis of Ewing sarcoma is underlayed by a translocation, leading to the fusion of the trans-activating domain of EWS with the FLU DNA binding domain. Cancer stem cells (CSCs) are thought to be the driving force of tumor growth. In this work we focused on understanding the mechanisms underlying ESFT CSC emergence as well as defining targeted therapeutic strategies. Emergence of CSCs in ESFT has been shown to arise from a defect in TARBP2-dependent microRNA maturation, which can be corrected by exposure to the fluoroquinolone enoxacin. As enoxacin alone is not sufficient to reverse tumor growth in vivo, we assessed the effect of combining a drug that abrogates CSC properties with doxorubicin, a standard-of-care therapy in ESFT. Primary ESFT CSCs and bulk tumor cells were treated with different concentration of drugs and displayed divergent responses to doxorubicin and enoxacin. Doxorubicin, which targets the tumor bulk, displayed toxicity toward primary adherent ESFT cells in culture but not to CSC-enriched ESFT spheres. Conversely, enoxacin induced apoptosis but only in ESFT spheres and specifically on the CD133+ population. In combination, the two drugs markedly depleted CSC and strongly reduced primary growth in xenograft assays of two primary ESFT. Our results identify a potentially attractive therapeutic strategy for ESFT that combines mechanism-based targeting of CSC using a low toxicity antibiotic with a standard-of-care cytotoxic drug, offering immediate applications for clinical evaluation. In the second part of this work we performed chromatin immunopercipitation on CSCs and bulk cells for EWS-FLI1 binding as well as some chromatin modifications, and concluded that EWS-FLI1 shows cell context dependent binding.

Neuropathogenesis in glutaric aciduria type I and methylmalonic aciduria

Glutaric aciduria type-I (GA-I) and methylmalonic aciduria (MMA-uria) are two neurometabolic diseases manifesting in neonatal period and early childhood. They belong to the group of organic acidurias and are caused by defects in the catabolism of amino acids, leading to massive accumulation of toxic metabolites in the body and severe brain injury. Therapeutic strategies are mainly based on reversing catabolic state during metabolic crisis and dietary protein restriction that both aim to prevent extra production of toxic metabolites. Specific and neuroprotective treatments are missing because the mechanisms of brain damage in these diseases are only poorly understood. The principal objective of my work was to develop in vitro models for both diseases aiming at elucidation of toxic effects of the main metabolites accumulating in GA-I (glutaric acid (GA) and 3-hydroxy glutaric acid (3-OHGA)) and MMA-uria (methylmalonic acid (MMA), propionic acid (PA) and 2-methylcitric acid (2-MCA)) on developing brain cells, and to study the cellular pathways targeted by these deleterious effects in order to find new therapeutic potentials. We used re-aggregated embryonic rat brain cells in organotypic 3D cultures, which were exposed to toxic metabolites at different developing stages of the cultures. In parallel, we studied the cellular localization of the defected enzyme in GA-I, glutaryl-CoA dehydrogenase (GCDH), in the brain and peripheral tissues of rats in adulthood and during embryonic development. GCDH expression: GCDH showed a strong neuronal expression in embryonic central and peripheral nervous system. In the adult brain, GCDH expression was exclusively neuronal with the strongest signal in cerebral cortex and Purkinje cells. GCDH expression was homogenous in embryonic peripheral organs with high levels in intestinal mucosa at late stages. Strong GCDH expression was also observed in liver and intestinal mucosa and with lower intensity in muscles, convoluted renal tubules and renal collecting tubes in adult peripheral organs. GA-I and MMA-uria in vitro models: 3-OHGA (for GA-I) and 2-MCA (for MMA-uria) showed the most deleterious effects at early stages of the cultures with morphological and biochemical alterations and induction of cell death. 3-OHGA and 2-MCA caused astrocytic cell suffering reflected by astrocytic fiber loss and swelling and retardation in oligodendrocytic maturation and/or differentiation. High ammonium increase concomitant with glutamine decrease was observed in these cultures. Neurons were not substantially affected. Our studies revealed that brain-cell generated ammonia may play a role in the neuropathogenesis of these diseases. Thus, developing neuroprotective strategies that target ammonium toxicity in the brain of GA-I and MMA-uria patients might be important according to our findings. -- L'acidurie glutarique de type I (GA-I) et l'acidurie méthylmalonique (MMA-urie) sont deux maladies neurométaboliques se manifestant durant la période néonatale ou la petite enfance, et qui appartiennent aux aciduries organiques. Elles sont causées par des défauts dans le catabolisme des acides aminés, conduisant à une accumulation des métabolites toxiques dans le corps et aussi des lésions cérébrales sévères. Le traitement est limité à une prise en charge d'urgence pendant la crise métabolique et à une diète restreinte en protéines naturelles. Des traitements spécifiques, neuroprotecteurs manquent principalement parce que les mécanismes conduisant aux lésions cérébrales dans ces maladies sont peu connus. L'objectif principal de mon travail était d'élucider les effets toxiques des métabolites accumulés dans GA-I (l'acide glutarique (GA) et l'acide 3-hydroxyglutarique (3-OHGA)) et MMA-uria (l'acide méthylmalonique (MMA), l'acide propionique (PA) et l'acide 2-méthylcitrique(2-MCA) sur les cellules du cerveau ainsi que les voies cellulaires impliquées, dans le but de trouver de potentielles nouvelles stratégies thérapeutiques. Nous avons utilisé un modèle in vitro de cultures 3D de cellules de cerveau d'embryons de rat (en développement) en les exposant aux métabolites toxiques à différents stades de développement des cultures. En parallèle, nous avons étudié la localisation cellulaire de l'enzyme déficiente dans GA-I, la CoA-glutarly déshydrogénase (GCDH), dans le cerveau et les organes périphériques des rats adultes et pendant le développement embryonnaire. L'expression de GCDH: GCDH a montré une expression neuronale forte dans le système nerveux chez l'embryon et le cerveau adulte. L'expression était homogène dans les organes périphériques avec une forte expression dans l'intestin. Les modèles in vitro de GA-I et MMA-uria : 3-OHGA en modèle GA-I et 2-MCA en modèle MMA-uria ont montré les effets délétères les plus importants avec des altérations morphologiques des cellules et biochimiques dans le milieu de culture et l'induction de mort cellulaire non-apoptotique (3-OHGA) ou apoptotique (2-MCA). 3-OHGA et 2-MCA ont provoqué une souffrance astrocytaire avec perte des fibres et gonflement et un retard de maturation et/ou de différentiation des oligodendrocytes. Une augmentation importante d'ammonium avec une diminution concomitante de glutamine a été observée dans les cultures. Les neurones n'étaient pas vraiment affectés. Nos études ont révélé que l'ammonium généré par les cellules cérébrales pourrait jouer un rôle dans la neuropathogenèse de ces deux maladies. Par conséquent, développer des stratégies neuroprotectrices ciblant la toxicité de l'ammonium dans le cerveau des patients atteints de GA-I ou MMA-urie pourrait être très important selon nos résultats.

Manipulation of arthropod sex determination by endosymbionts: diversity and molecular mechanisms.

Arthropods exhibit a large variety of sex determination systems both at the chromosomal and molecular level. Male heterogamety, female heterogamety, and haplodiploidy occur frequently, but partially different genes are involved. Endosymbionts, such as Wolbachia, Cardinium,Rickettsia, and Spiroplasma, can manipulate host reproduction and sex determination. Four major reproductive manipulation types are distinguished: cytoplasmic incompatibility, thelytokous parthenogenesis, male killing, and feminization. In this review, the effects of these manipulation types and how they interfere with arthropod sex determination in terms of host developmental timing, alteration of sex determination, and modification of sexual differentiation pathways are summarized. Transitions between different manipulation types occur frequently which suggests that they are based on similar molecular processes. It is also discussed how mechanisms of reproductive manipulation and host sex determination can be informative on each other, with a special focus on haplodiploidy. Future directions on how the study of endosymbiotic manipulation of host reproduction can be key to further studies of arthropod sex determination are shown.

The alpha1-adrenergic receptors in cardiac hypertrophy: Signaling mechanisms and functional implications.

Cardiac hypertrophy is a complex remodeling process of the heart induced by physiological or pathological stimuli resulting in increased cardiomyocyte size and myocardial mass. Whereas cardiac hypertrophy can be an adaptive mechanism to stressful conditions of the heart, prolonged hypertrophy can lead to heart failure which represents the primary cause of human morbidity and mortality. Among G protein-coupled receptors, the α1-adrenergic receptors (α1-ARs) play an important role in the development of cardiac hypertrophy as demonstrated by numerous studies in the past decades, both in primary cardiomyocyte cultures and genetically modified mice. The results of these studies have provided evidence of a large variety of α1-AR-induced signaling events contributing to the defining molecular and cellular features of cardiac hypertrophy. Recently, novel signaling mechanisms have been identified and new hypotheses have emerged concerning the functional role of the α1-adrenergic receptors in the heart. This review will summarize the main signaling pathways activated by the α1-AR in the heart and their functional implications in cardiac hypertrophy.

Asymmetric stochastic switching driven by intrinsic molecular noise

Low-copy-number molecules are involved in many functions in cells. The intrinsic fluctuations of these numbers can enable stochastic switching between multiple steady states, inducing phenotypic variability. Herein we present a theoretical and computational study based on Master Equations and Fokker-Planck and Langevin descriptions of stochastic switching for a genetic circuit of autoactivation. We show that in this circuit the intrinsic fluctuations arising from low-copy numbers, which are inherently state-dependent, drive asymmetric switching. These theoretical results are consistent with experimental data that have been reported for the bistable system of the gallactose signaling network in yeast. Our study unravels that intrinsic fluctuations, while not required to describe bistability, are fundamental to understand stochastic switching and the dynamical relative stability of multiple states.