927 resultados para CIRCADIAN OSCILLATORS


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Circadian clocks, present in organisms leaving in a rhythmic environment, constitute the mechanisms allowing anticipation and adaptation of behavior and physiology in response to these environmental variations. As a consequence, most aspects of metabolism and behavior are under the control of this circadian clock. At a molecular level, in all the studied species, the rhythmic expression of the genes involved are generated by interconnected transcriptional and translational feedback loops. In mammals, the heterodimer composed of BMAL1 and its partners CLOCK or NPAS2 constitutes a transcriptional activator regulating transcription of Per and Cry genes. These genes encode for repressors of the activity of BMAL1:CLOCK or BMAL1: NPAS2 heterodimers, thus closing a negative feedback loop that generates rhythms of approximately 24 hours. The aim of my doctoral work consisted in the investigation of the role of circadian clock in the regulation of different aspects of mouse metabolism through the rhythmic activation of signaling pathways. First, we showed that one way how the circadian clock exerts its function as an oscillator is through the regulation of mRNA translation. Indeed, we present evidence showing that circadian clock influences the temporal translation of a subset of mRNAs involved in ribosome biogenesis by controlling the transcription of translation initiation factors as well as the clock-dependent rhythmic activation of signaling pathways involved in their regulation. Moreover, the circadian oscillator regulates the transcription of ribosomal protein mRNAs and ribosomal RNAs. Thus the circadian clock exerts a major role in coordinating transcription and translation steps underlying ribosome biogenesis. In the second part, we showed the involvement of the circadian clock in lipid metabolism. Indeed, the three PAR bZip transcription factors DBP, TEF and HLF, are regulated by the molecular clock and play key roles in the control of lipid metabolism. Here we present evidence concerning the circadian expression and activity of PPARα via the circadian transcription of genes involved in the release of fatty acids, natural ligands of PPARα. It leads to the rhythmic activation of PPARα itself which could then play its role in the transcription of genes encoding proteins involved in lipid, cholesterol and glucose metabolism. In addition, we considered the possible role of lipid transporters, here SCP2, in the modulation of circadian activation of signaling pathways such as TORC1, PPARα and SREBP, linked to metabolism, and its feedback on the circadian clock. In the last part of this work, we studied the effects of these circadian clock-orchestrated pathways in physiology, as clock disruptions have been shown to be linked to metabolic disorders. We performed in vivo experiments on genetically and high-fat induced obese mice devoid of functional circadian clock. The results obtained showed that clock disruption leads to impaired triglycerides and glucose homeostasis in addition to insulin secretion and sensitivity. -- Les rythmes circadiens, présents chez tout organisme vivant dans un environnement rythmique, constituent l'ensemble de mécanismes permettant des réponses comportementales et physiologiques anticipées et adaptées aux variations environnementales. De ce fait, la plupart des aspects liés au métabolisme et au comportement de ces organismes apparaissent être sous le contrôle de l'horloge circadienne contrôlant ces rythmes. Au niveau moléculaire, dans toutes les espèces étudiées, l'expression rythmique de gènes impliqués sont générés par l'interconnexion de boucles de contrôle transcriptionnelles et traductionnelles. Chez les mammifères, l'hétérodimère composé de BMAL1 et de ses partenaires CLOCK ou NPAS2 constitue un activateur transcriptionnel régulant la transcription des gènes Per et Cry. Ces gènes codent pour des répresseurs de l'activité des hétérodimères BMAL1:CLOCK ou BMAL1:NPAS2. Cela a pour effet de fermer la boucle négative, générant ainsi des rythmes d'environ 24 heures. Le but de mon travail de thèse a consisté en l'investigation du rôle de l'horloge circadienne dans la régulation de certains aspects du métabolisme chez la souris via la régulation de l'activation rythmique des voies de signalisation. Nous avons tout d'abord montré que l'horloge circadienne exerce sa fonction d'oscillateur notamment au niveau de la régulation de la traduction des ARNm. En effet, nous présentons des preuves montrant que l'horloge circadienne influence la traduction temporelle d'un groupe d'ARNm impliqués dans la biogénèse des ribosomes en contrôlant la transcription de facteurs d'initiation de la traduction ainsi que l'activation rythmique des voies de signalisation qui sont impliquées dans leur régulation. De plus, l'oscillateur circadien régule la transcription d'ARNm codant pour les protéines ribosomales et d'ARN ribosomaux. De cette façon, l'horloge circadienne exerce un rôle majeur dans la coordination des étapes de transcription et traduction permettant la biogénèse des ribosomes. Dans la deuxième partie, nous montrons les implications de l'horloge circadienne dans le métabolisme des lipides. En effet, DBP, TEF et HLF, trois facteurs de transcription de la famille des PAR bZip qui sont régulés par l'horloge circadienne, jouent un rôle clé dans le contrôle du métabolisme des lipides par l'horloge circadienne. Nous apportons ici des preuves concernant l'expression et l'activité rythmiques de PPARα via la transcription circadienne de gènes impliqués dans le relargage d'acides gras, ligands naturels de PPARα, conduisant à l'activation circadienne de PPARα lui-même, pouvant ainsi jouer son rôle de facteur de transcription de gènes codant pour des protéines impliquées dans le métabolisme des lipides, du cholestérol et du glucose. De plus, nous nous sommes penchés sur le rôle possible de transporteurs de lipides, ici SCP2, dans la modulation de l'activation circadienne de voies de signalisation, telles que TORC1, PPARα et SREBP, qui sont liées au métabolisme, ainsi que son impact sur l'horloge elle-même. Dans la dernière partie de ce travail, nous avons étudié les effets de l'activation de ces voies de signalisation régulées par l'horloge circadienne dans le contexte physiologique puisqu'il a été montré que la perturbation de l'horloge pouvait être associée à des désordres métaboliques. Pour ce faire, nous avons fait des expériences in vivo sur des souris déficientes pour l'horloge moléculaire pour lesquelles l'obésité est induite génétiquement ou induite par la nourriture riche en lipides. Les résultats que nous obtenons montrent des dérèglements au niveau de l'homéostasie des triglycérides et du glucose ainsi que sur l'expression et la réponse à l'insuline.

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La grande majorité des organismes vivants ont développé un système d'horloges biologiques internes, appelées aussi horloges circadiennes, contrôlant l'expression de gênes impliqués dans de nombreux processus moléculaires et comportementaux. Au cours de la dernière décennie, des analyses « microarray » et séquençages à haut débit sur divers tissus de mammifères, indiquent que jusqu'à 20% du transcriptome serait sous contrôle circadien. Il était jusqu'à présent admis que la majorité des ARNm ayant une accumulation rythmique était générée par une transcription qui était elle-même rythmique. Toutefois, de récentes études ont suggéré qu'une proportion considérable des ARNm cycliques serait en fait générée par des mécanismes post-transcriptionnelles, incluant une régulation par micro-ARN (miARN). Lorsque j'ai débuté mon travail de thèse, l'influence des miARN sur l'expression des gènes circadiens, au niveau pangénomique, était encore méconnue. Par l'utilisation d'un modèle murin, dont la biogenèse des miARN a été spécifiquement désactivée au niveau des cellules hépatiques (knockout conditionnel pour Dicer), je me suis donc intéressée au rôle que jouaient ces molécules régulatrices sur la rythmicité de l'expression génique dans le foie. Des séquençages sur l'ensemble du transcriptome révèlent que l'horloge interne du foie est étonnement résistante à la perte totale des miARN. Nous avons cependant trouvé que les miARN agissent de façon importante sur la régulation de l'expression des gènes contrôlés par l'horloge moléculaire. La corégulation par les miARN, affectant jusqu'à 30% des gènes transcrits de façon rythmiques, conduit ainsi à une modulation de phase et d'amplitude du rythme de l'abondance des ARNm. En revanche, seuls peu de transcrits dépendent uniquement des miARN pour la rythmicité de leur accumulation. Enfin, mon travail met en évidence plusieurs miARN spécifiques, qui semblent préférentiellement moduler l'expression des gènes cycliques et permet l'identification de voies hépatiques particulièrement sujettes à une double régulation par les miARN et l'horloge biologique interne. La première masse d'analyses a essentiellement porté sur le rôle que jouent les miARN au niveau de l'expression des gènes contrôlés par l'horloge interne. Dans deux études de suivi, je me suis penchée sur deux aspects supplémentaires et complémentaires de la manière dont les miARN et l'oscillation de l'expression des gènes interagissent. Dans les hépatocytes murins, spécifiquement privés de Dicer, je me suis demandée si un phénotype horloge avait pu être masqué, dû à un entraînement stable de l'horloge du foie par l'horloge maîtresse du cerveau. J'ai donc commencé une série d'expériences ambitieuses (impliquant la mesure de la rythmicité du foie in vivo, chez l'animal vivant) afin de déséquilibrer l'entrainement de l'horloge hépatique via l'utilisation d'un protocole nutritionnel spécifique. Les premiers résultats suggèrent que dans des conditions où l'animal subit une restriction alimentaire pendant la journée, les miARN sont importants dans la cinétique d'adaptation des organes périphériques à un nouvel horaire de sustentation. Dans une deuxième ligne de recherche, j'ai plus profondément étudié quels seraient les miARN responsables des rythmes post-transcriptionnels des ARNm, en utilisant le séquençage de « small » ARN sur 24h. L'analyse est en cours et se poursuivra après l'obtention de mon diplôme. De façon générale, mon travail révèle d'importants et nouveaux rôles des miARN dans la modulation de l'expression circadienne des gènes hépatiques. De plus, le set de données générées dans l'étude déjà publiée, peut dorénavant servir de ressource valable pour de prochaines investigations sur le rôle physiologique que les miARN jouent au niveau du foie. -- Most living organisms have developed internal timing systems, called circadian clocks, to drive the rhythmic expression of genes involved in many molecular and behavioral processes. Over the last decade, microarray analyses and high- throughput sequencing from various mammalian tissues have indicated that up to 20% of the transcriptome are under circadian control. It was generally assumed that the majority of rhythmic mRNA accumulation is generated by rhythmic transcription. However, recent studies have suggested that a considerable proportion of mRNA cycling may actually be generated by post-transcriptional mechanisms, including by microRNAs. When I started my thesis work, it was still unknown how miRNAs influence circadian gene expression in a genome-wide fashion. Using a mouse model in which miRNA biogenesis can be inactivated in hepatocytes (conditional Dicer knockout mouse), I have thus addressed the role that these regulatory molecules play in rhythmic gene expression in the liver. Whole transcriptome sequencing revealed that the hepatic core clock was surprisingly resilient to total miRNA loss. However, we found that miRNAs acted as important regulators of clock-controlled gene expression. Co- regulation by miRNAs, which affected up to 30% of rhythmically transcribed genes, thus led to the modulation of phases and amplitudes of mRNA abundance rhythms. By contrast, only very few transcripts were strictly dependent on miRNAs for their rhythmic accumulation. Finally, my work highlights several specific miRNAs that appear to preferentially modulate cyclic gene expression, and identifies pathways in the liver that are particularly prone to dual regulation through miRNAs and the clock. The first bulk of analyses mainly dealt with the role that miRNAs play at the level of rhythmic clock output gene expression. In two follow-up studies I further delved into two additional, complementary aspects of how miRNAs and gene expression oscillations interact. First, I addressed whether a core clock phenotype in the hepatocyte-specific Dicer knockout could have been masked due to the stable entrainment of the liver clock by the animals' master clock in the brain. I thus started a series of ambitious experiments (involving the in vivo recording of liver rhythms in live animals) to bring the stable entrainment of the liver clock out of equilibrium using specific feeding protocols. My first results suggest that under conditions when animals are challenged by food restriction to daytime, miRNAs are important for the kinetics of adapting to unusual mealtime in peripheral tissue. In a second line of research, I have more carefully investigated which miRNAs are responsible for post- transcriptional mRNA rhythms using small RNA sequencing around-the-clock. The analyses are ongoing and will be continued after my graduation. Overall, my work uncovered important and novel roles of miRNA activity in shaping hepatic circadian gene expression; moreover, the datasets collect in the published studies can serve as a valuable resource for further investigations into the physiological roles that miRNAs play in liver. -- L'alternance du jour et de la nuit dirige depuis longtemps la vie quotidienne des êtres humains et de la plupart des organismes sur terre. Ce cycle de 24 heures façonne beaucoup de changements comportementaux et physiologiques tels que la vigilance, la température corporelle et le sommeil. Les rythmes journaliers, appelés rythmes circadiens, sont dirigés par des horloges biologiques tournant dans presque chaque cellule du corps. Une structure dans le cerveau agit en tant qu'horloge maitresse pour synchroniser les horloges internes entre elles et en fonction des signaux de jour/nuit extérieurs. Dans les cellules "les gènes de l'horloge" sont activés et désactivés une fois par jour ce qui déclenche des cycles dans lesquels des protéines sont produites de manière circadienne. Ces rythmes protéiques sont spécialisés pour chaque tissu ou organe et peuvent les aider à réaliser leurs tâches quotidiennes. Les rythmes circadiens peuvent être générés d'autres manières n'impliquant pas directement les composants des gènes de l'horloge. Les ARN messagers (ARNm) sont des molécules intermédiaires dans la production de protéines à partir d'ADN. Dans le foie des souris jusqu'à 20% des molécules d'ARNm sont produites suivant des rythmes circadiens. Le foie réalise des tâches essentielles dans le contrôle du métabolisme incluant celui des hydrates de carbone, des graisses et du cholestérol. Un timing précis est important afin de traiter les substances nutritives correctement lors des repas il en résulte une variation des quantités de certains ARNm et protéines coïncidant avec les repas. Les microARNs constituent une autre classe de molécules ARN de très petite taille qui régulent l'efficacité de traduction des ARNm en protéines et la stabilité des ARNm. Lors de mon travail de thèse, j'ai exploré de manière approfondie l'influence de ces petits régulateurs sur les rythmes circadiens du foie de souris. Ces expériences qui impliquaient le "Knock-out" d'un gène essentiel à la production de microARNs montrent qu'au lieu de générer les rythmes des ARNm, les microARNs les ajustent pour répondre aux besoins spécifiques du foie comme assurer leur pic au bon moment de la journée. Le ciblage de microARNs spécifiques peut révéler de nouvelles stratégies pour rectifier ces rythmes lorsque par exemple les fonctions métaboliques ne fonctionnent plus normalement. -- The rising and setting of the sun have long driven the daily schedules of humans and most organisms on the earth. This 24-hr cycle shapes many behavioural and physiological changes, such as alertness, body temperature, and sleep. These daily rhythms, which are called circadian rhythms, are dictated by biological clocks that are ticking in almost every single cell of the body. A region in the brain acts as a master clock to synchronize the internal clocks with each other and with the outside light/dark cycles. In cells, "core clock genes" are turned on and off once per day, which triggers cycles that cause some proteins to be produced in a circadian manner. The protein rhythms are specialized to a particular tissue or organ, and may help them to carry out their designated daily tasks. However, circadian rhythms might also be produced by other ways that do not involve these core clock components. Messenger RNAs (mRNAs) are intermediate molecules in the production of proteins from DNA. In the mouse liver, up to 20% of mRNA molecules are produced in circadian cycles. The liver performs essential tasks that control metabolism-including that of carbohydrates, fats, and cholesterol. Precisely timing when certain mRNAs and proteins reach peaks and troughs in their activities to coincide with mealtimes is important for nutrients to be properly processed. Other RNA molecules called microRNAs, i.e. RNAs of very small size, regulate at which rate mRNA molecules are translated into proteins. In my thesis work, I have explored at the influence of these small regulators on circadian rhythms in the mouse liver in greater detail. These experiments, which involved "knocking out" a gene that is essential for the production of microRNAs, show that rather than generating the mRNA rhythms, the microRNAs appear to adjust them to meet the specific needs of the liver, such as ensuring that they peak at the right time-of-day. Targeting specific microRNA molecules may reveal new strategies to tweak these rhythms, which could help to improve conditions when metabolic functions go wrong.

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Diurnal oscillations of gene expression are a hallmark of rhythmic physiology across most living organisms. Such oscillations are controlled by the interplay between the circadian clock and feeding rhythms. Although rhythmic mRNA accumulation has been extensively studied, comparatively less is known about their transcription and translation. Here, we quantified simultaneously temporal transcription, accumulation, and translation of mouse liver mRNAs under physiological light-dark conditions and ad libitum or night-restricted feeding in WT and brain and muscle Arnt-like 1 (Bmal1)-deficient animals. We found that rhythmic transcription predominantly drives rhythmic mRNA accumulation and translation for a majority of genes. Comparison of wild-type and Bmal1 KO mice shows that circadian clock and feeding rhythms have broad impact on rhythmic gene expression, Bmal1 deletion affecting surprisingly both transcriptional and posttranscriptional levels. Translation efficiency is differentially regulated during the diurnal cycle for genes with 5'-Terminal Oligo Pyrimidine tract (5'-TOP) sequences and for genes involved in mitochondrial activity, many harboring a Translation Initiator of Short 5'-UTR (TISU) motif. The increased translation efficiency of 5'-TOP and TISU genes is mainly driven by feeding rhythms but Bmal1 deletion also affects amplitude and phase of translation, including TISU genes. Together this study emphasizes the complex interconnections between circadian and feeding rhythms at several steps ultimately determining rhythmic gene expression and translation.

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We investigate how correlations between the diversity of the connectivity of networks and the dynamics at their nodes affect the macroscopic behavior. In particular, we study the synchronization transition of coupled stochastic phase oscillators that represent the node dynamics. Crucially in our work, the variability in the number of connections of the nodes is correlated with the width of the frequency distribution of the oscillators. By numerical simulations on Erdös-Rényi networks, where the frequencies of the oscillators are Gaussian distributed, we make the counterintuitive observation that an increase in the strength of the correlation is accompanied by an increase in the critical coupling strength for the onset of synchronization. We further observe that the critical coupling can solely depend on the average number of connections or even completely lose its dependence on the network connectivity. Only beyond this state, a weighted mean-field approximation breaks down. If noise is present, the correlations have to be stronger to yield similar observations.

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Mammalian gene expression displays widespread circadian oscillations. Rhythmic transcription underlies the core clock mechanism, but it cannot explain numerous observations made at the level of protein rhythmicity. We have used ribosome profiling in mouse liver to measure the translation of mRNAs into protein around the clock and at high temporal and nucleotide resolution. We discovered, transcriptome-wide, extensive rhythms in ribosome occupancy and identified a core set of approximately 150 mRNAs subject to particularly robust daily changes in translation efficiency. Cycling proteins produced from nonoscillating transcripts revealed thus-far-unknown rhythmic regulation associated with specific pathways (notably in iron metabolism, through the rhythmic translation of transcripts containing iron responsive elements), and indicated feedback to the rhythmic transcriptome through novel rhythmic transcription factors. Moreover, estimates of relative levels of core clock protein biosynthesis that we deduced from the data explained known features of the circadian clock better than did mRNA expression alone. Finally, we identified uORF translation as a novel regulatory mechanism within the clock circuitry. Consistent with the occurrence of translated uORFs in several core clock transcripts, loss-of-function of Denr, a known regulator of reinitiation after uORF usage and of ribosome recycling, led to circadian period shortening in cells. In summary, our data offer a framework for understanding the dynamics of translational regulation, circadian gene expression, and metabolic control in a solid mammalian organ.

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Circadian clocks are endogenous timers adjusting behaviour and physiology with the solar day. Synchronized circadian clocks improve fitness and are crucial for our physical and mental well-being. Visual and non-visual photoreceptors are responsible for synchronizing circadian clocks to light, but clock-resetting is also achieved by alternating day and night temperatures with only 2-4 °C difference. This temperature sensitivity is remarkable considering that the circadian clock period (~24 h) is largely independent of surrounding ambient temperatures. Here we show that Drosophila Ionotropic Receptor 25a (IR25a) is required for behavioural synchronization to low-amplitude temperature cycles. This channel is expressed in sensory neurons of internal stretch receptors previously implicated in temperature synchronization of the circadian clock. IR25a is required for temperature-synchronized clock protein oscillations in subsets of central clock neurons. Extracellular leg nerve recordings reveal temperature- and IR25a-dependent sensory responses, and IR25a misexpression confers temperature-dependent firing of heterologous neurons. We propose that IR25a is part of an input pathway to the circadian clock that detects small temperature differences. This pathway operates in the absence of known 'hot' and 'cold' sensors in the Drosophila antenna, revealing the existence of novel periphery-to-brain temperature signalling channels.

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ABSTRACT: A workshop was held at the National Institute for Diabetes and Digestive and Kidney Diseases with a focus on the impact of sleep and circadian disruption on energy balance and diabetes. The workshop identified a number of key principles for research in this area and a number of specific opportunities. Studies in this area would be facilitated by active collaboration between investigators in sleep/circadian research and investigators in metabolism/diabetes. There is a need to translate the elegant findings from basic research into improving the metabolic health of the American public. There is also a need for investigators studying the impact of sleep/circadian disruption in humans to move beyond measurements of insulin and glucose and conduct more in-depth phenotyping. There is also a need for the assessments of sleep and circadian rhythms as well as assessments for sleep-disordered breathing to be incorporated into all ongoing cohort studies related to diabetes risk. Studies in humans need to complement the elegant short-term laboratory-based human studies of simulated short sleep and shift work etc. with studies in subjects in the general population with these disorders. It is conceivable that chronic adaptations occur, and if so, the mechanisms by which they occur needs to be identified and understood. Particular areas of opportunity that are ready for translation are studies to address whether CPAP treatment of patients with pre-diabetes and obstructive sleep apnea (OSA) prevents or delays the onset of diabetes and whether temporal restricted feeding has the same impact on obesity rates in humans as it does in mice.

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PURPOSE: To assess the circadian variations in salivary immunoglobin A (sIgA) and alpha-amylase activity (sAA), biomarkers of mucosal immune function, together with mood during 2 weeks of repeated sprint training in hypoxia (RSH) and normoxia (RSN). METHODS: Over a 2-week period, 17 competitive cross-country skiers performed six training sessions, each consisting of four sets of five 10-s bouts of all-out double-poling under either normobaric hypoxia (FiO2: 13.8 %, 3000 m) or normoxia. The levels of sIgA and sAA activity and mood were determined five times during each of the first (T1) and sixth (T6) days of training, as well as during days preceding (baseline) and after the training intervention (follow-up). RESULTS: With RSH, sIgA was higher on T6 than T1 (P = 0.049), and sAA was increased on days T1, T6, and during the follow-up (P < 0.01). With RSN, sIgA remained unchanged and sAA was elevated on day T1 only (P = 0.04). Similarly, the RSH group demonstrated reduced mood on days T1, T6, and during the follow-up, while mood was lowered only on T1 with RSN (P < 0.01). CONCLUSIONS: The circadian variation of sIgA and sAA activity, biomarkers of mucosal immune function, as well as mood were similar on the first day of training when repeated double-poling sprints were performed with or without hypoxia. Only with RSH did the levels of sIgA and sAA activity rise with time, becoming maximal after six training sessions, when mood was still lowered. Therefore, six sessions of RSH reduced mood, but did not impair mucosal immune function.

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OBJECTIVES: Blunted nocturnal dip of blood pressure (BP) and reversed circadian rhythm have been described in preeclampsia (PE). Non-dipper status and preeclampsia are both associated with an increased risk of cardiovascular disease later in life. Complete recovery of BP in PE is reported to occur over a variable period of time. Twenty-four hours-ambulatory blood pressure measurement (ABPM) in the post-partum follow-up after a PE has not been described. The aim of this study was to assess 24h-ambulatory blood pressure pattern after a PE and to determine the prevalence of non-dipper status, nocturnal hypertension, white coat hypertension and masked hypertension. METHODS: This is an observational, prospective study on women who suffered from a preeclampsia. A 24h-ABPM was done 6 weeks post-partum at the Hypertension Unit of the University Hospitals of Geneva, concomitantly with a clinical and biological evaluation. RESULTS: Forty-five women were included in a preliminary analysis. Mean age was 33±6years, 57.3% were Caucasian, mean BMI before pregnancy was 24±5kg/m(2). Office and ambulatory BP are shown in Table 1. Prevalence of nocturnal hypertension was high and half of the women had no nocturnal dipping. The diagnosis of hypertension based on office BP was discordant with the diagnosis based on ABPM in 25% of women. CONCLUSIONS: The prevalence of increased nighttime BP and abnormal BP pattern is high at 6weeks post-partum in preeclamptic women. Early assessment of BP with ABPM after preeclampsia allows an early identification of women with persistent circadian abnormalities who might be at increased risk. It also provides a more accurate assessment than office BP. DISCLOSURES: A. Ditisheim: None. B. Ponte: None. G. Wuerzner: None. M. Burnier: None. M. Boulvain: None. A. Pechère-Bertschi: None.

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In this work we consider the nonlinear equivalent representation form of oscillators that exhibit nonlinearities in both the elastic and the damping terms. The nonlinear damping effects are considered to be described by fractional power velocity terms which provide better predictions of the dissipative effects observed in some physical systems. It is shown that their effects on the system dynamics response are equivalent to a shift in the coefficient of the linear damping term of a Duffing oscillator. Then, its numerical integration predictions, based on its equivalent representation form given by the well-known forced, damped Duffing equation, are compared to the numerical integration values of its original equations of motion. The applicability of the proposed procedure is evaluated by studying the dynamics response of four nonlinear oscillators that arise in some engineering applications such as nanoresonators, microresonators, human wrist movements, structural engineering design, and chain dynamics of polymeric materials at high extensibility, among others

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The essential oils from leaves, stems and fruits of Piper divaricatum were analyzed by GC-MS. The tissues showed high safrole content: leaves (98%), fruits (87%) and stems (83%), with yields of 2.0, 4.8 and 1.7%, respectively. This is a new alternative source of safrole, a compound widely used as a flavoring agent and insecticide. The leaf's oil showed antibacterial activity against gram-negative bacteria while safrole was active against Salmonella Typhimurium and Pseudomonas aeruginosa. In addition, the study of circadian rhythm of the safrole concentration in the essential oils of leaves showed a negligible variation of 92 to 98%.

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In order to adapt to daily environmental changes, especially in relation to light availability, many organisms, such as plants, developed a vital mechanism that controls time-dependent biological events: the circadian clock. The circadian clock is responsible for predicting the changes that occur in the period of approximately 24 hours, preparing the plants for the following phases of the cycle. Some of these adaptations can influence the response of weeds to the herbicide application. Thus, the objectives of this review are to describe the physiological and genetic mechanisms of the circadian clock in plants, as well as to demonstrate the relationship of this phenomenon with the effectiveness of herbicides for weed control. Relationships are described between the circadian clock and the time of application of herbicides, leaf angle and herbicide interception, as well as photosynthetic activity in response to the circadian clock and herbicide efficiency. Further, it is discussed the role of phytochrome B (phyB) in the sensitivity of plants to glyphosate herbicide. The greater understanding of the circadian clock in plants is essential to achieve greater efficiency of herbicides and hence greater control of weeds and higher crop yields.

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Circadian organization means the way in which the entire circadian system above the cellular level is put together physically and the principles and rules that determine the interactions among its component parts which produce overt rhythms of physiology and behavior. Understanding this organization and its evolution is of practical importance as well as of basic interest. The first major problem that we face is the difficulty of making sense of the apparently great diversity that we observe in circadian organization of diverse vertebrates. Some of this diversity falls neatly into place along phylogenetic lines leading to firm generalizations: i) in all vertebrates there is a "circadian axis" consisting of the retinas, the pineal gland and the suprachiasmatic nucleus (SCN), ii) in many non-mammalian vertebrates of all classes (but not in any mammals) the pineal gland is both a photoreceptor and a circadian oscillator, and iii) in all non-mammalian vertebrates (but not in any mammals) there are extraretinal (and extrapineal) circadian photoreceptors. An interesting explanation of some of these facts, especially the differences between mammals and other vertebrates, can be constructed on the assumption that early in their evolution mammals passed through a "nocturnal bottleneck". On the other hand, a good deal of the diversity among the circadian systems of vertebrates does not fall neatly into place along phylogenetic lines. In the present review we will consider how we might better understand such "phylogenetically incoherent" diversity and what sorts of new information may help to further our understanding of the evolution of circadian organization in vertebrates