Symmetric periodic orbits near a heteroclinic loop in R3 formed by two singular points, a semistable periodic orbit and their invariant manifolds

In this paper we consider C1 vector fields X in R3 having a “generalized heteroclinic loop” L which is topologically homeomorphic to the union of a 2–dimensional sphere S2 and a diameter connecting the north with the south pole. The north pole is an attractor on S2 and a repeller on . The equator of the sphere is a periodic orbit unstable in the north hemisphere and stable in the south one. The full space is topologically homeomorphic to the closed ball having as boundary the sphere S2. We also assume that the flow of X is invariant under a topological straight line symmetry on the equator plane of the ball. For each n ∈ N, by means of a convenient Poincar´e map, we prove the existence of infinitely many symmetric periodic orbits of X near L that gives n turns around L in a period. We also exhibit a class of polynomial vector fields of degree 4 in R3 satisfying this dynamics.

Symmetric periodic orbits near a heteroclinic loop formed by two singular points and their invariant manifolds of dimension 1 and 2

In this paper we consider vector fields in R3 that are invariant under a suitable symmetry and that posses a “generalized heteroclinic loop” L formed by two singular points (e+ and e −) and their invariant manifolds: one of dimension 2 (a sphere minus the points e+ and e −) and one of dimension 1 (the open diameter of the sphere having endpoints e+ and e −). In particular, we analyze the dynamics of the vector field near the heteroclinic loop L by means of a convenient Poincar´e map, and we prove the existence of infinitely many symmetric periodic orbits near L. We also study two families of vector fields satisfying this dynamics. The first one is a class of quadratic polynomial vector fields in R3, and the second one is the charged rhomboidal four body problem.

What is the Omega-Loop Gastric Bypass and Why is it Criticized?

The omega-loop gastric bypass (OLGBP), also called "mini-gastric bypass" or "single-anastomosis" gastric bypass is a form of gastric bypass where a long, narrow gastric pouch is created and anastomosed to the jejunum about 200- 250 cm from the angle of Treitz in an omega loop fashion, thereby avoiding a jejuno-jejunostomy.Proponents of the OLGBP claim that it is a safer and simpler operation than the traditional Roux-en-Y gastric bypass (RYGBP), easier to teach, that gives the same results in terms of weight loss than the RYGBP. One randomized study comparing the two techniques showed similar results after five years.The OLGBP is criticized because it creates an anastomosis between the gastric pouch and the jejunum where a large amount of biliopancreatic juices travel, thereby creating a situation where reflux of the latter into the stomach and distal esophagus is likely to develop. Such a situation has clearly been associated, in several animal studies, with an increased incidence of gastric cancer, especially at or close to the gastro-jejunostomy, and with an increased risk of lower esophageal cancer. In clinical practice, omega-loop gastrojejunostomies such as those used for reconstruction after gastric resection for benign disease or distal gastric cancer have been associated with the so called classical anastomotic cancer, linked to biliary reflux into the stomach, despite the fact that epidemiological studies about this do not show uniform results. Although no evidence at the present time links OLGBP to an increased risk of gastric cancer in the human, this possibility raises a concern among many bariatric surgeons, especially in the view that bariatric surgery is performed in relatively young patients with a long life expectancy, hence prone to develop cancer if indeed the risk is increased. Another arguments used against the OLGBP is that the jejuno-jejunostomy in the traditional RYGBP is easy to perform and associated with virtually no complication.Supporters of the OLGBP claim that the liquid that refluxes into the stomach after their procedure is not pure bile and pancreatic juice, but a combination of those with jejunal secretions, and that the latter is not as harmful. We would urge the proponents of the OLGBP to undertake the necessary animal studies to show that their assumption is indeed true before the procedure is performed widely, possibly leading to the development of hundreds of late gastric or esophageal carcinoma in the bariatric population. In the meantime, we strongly believe that RYGBP should remain the gold standard in gastric bypass surgery for morbid obesity.

Influence of infusion line compliance on drug delivery rate during acute line loop formation.

OBJECTIVE: To determine whether infusion line compliance contributes to irregular drug delivery during vertical displacement of syringe pumps. DESIGN: Five different commercially available infusion lines were studied at infusion rates of 0.5, 1.0, and 1.5 ml/h. Zero drug delivery time was measured after acute line loop formation (70 cm) using an electronic balance. Compliance of each infusion line was calculated using a pressure transducer and measurement of the occlusion release bolus at 300 mmHg occlusion pressure. Finally, the influence of infusion line compliance on drug delivery during acute lowering of the syringe pump was studied using low- and high-compliance infusion lines. RESULTS: Acute line loop formation resulted in zero drug delivery time from 5.1 +/- 1.5 to 44.0 +/- 6.8 s at flow rates of 0.5 ml/h. Increased flow rates significantly reduced loop-induced flow variability. A close correlation was found between zero drug delivery time and calculated infusion line compliance at 0.5 ml/h (linear regression R2 = 0.79). Lowering of the syringe pump 50 cm prolonged zero drug delivery time from 295.8 +/- 20.7 s with the low-compliance tube to 463.3 +/- 24.0 s with the high-compliance infusion line. CONCLUSIONS: Infusion line compliance contributes to irregular drug delivery associated with vertical displacement of syringe pumps. Siphoning of the infusion line during patient care should be avoided, and flow rates of 1 ml/h or higher are recommended. Low-compliance infusion lines are indicated whenever highly short-acting vasoactive drugs at low delivery rates are administered.

Closed loop electrical muscle stimulation in spinal cord injured rehabilitation

The effect of motor training using closed loop controlled Functional Electrical Stimulation (FES) on motor performance was studied in 5 spinal cord injured (SCI) volunteers. The subjects trained 2 to 3 times a week during 2 months on a newly developed rehabilitation robot (MotionMaker?). The FES induced muscle force could be adequately adjusted throughout the programmed exercises by the way of a closed loop control of the stimulation currents. The software of the MotionMaker? allowed spasms to be detected accurately and managed in a way to prevent any harm to the SCI persons. Subjects with incomplete SCI reported an increased proprioceptive awareness for motion and were able to achieve a better voluntary activation of their leg muscles during controlled FES. At the end of the training, the voluntary force of the 4 incomplete SCI patients was found increased by 388% on their most affected leg and by 193% on the other leg. Active mobilisation with controlled FES seems to be effective in improving motor function in SCI persons by increasing the sensory input to neuronal circuits involved in motor control as well as by increasing muscle strength.

Holter implantable: reveal [The implantable loop recorder]

The implantable loop recorder developed by Medtronic (Reveal plus) is a small device inserted subcutaneously under local anesthesia in patients with syncope of unexplained origin. This device enables a single lead-ECG recording and has autonomy of two years. Memories are activated during episodes of bradycardia or tachycardia, either automatically or manually. Several studies have shown a high diagnostic rate reaching 50% and demonstrated its cost-effectiveness. There is also a significant reduction in syncopal episodes and a higher quality of life score in patients with syncope of unexplained origin.

Arabidopsis Basic Helix-Loop-Helix Transcription Factors MYC2, MYC3, and MYC4 Regulate Glucosinolate Biosynthesis, Insect Performance, and Feeding Behavior.

Arabidopsis thaliana plants fend off insect attack by constitutive and inducible production of toxic metabolites, such as glucosinolates (GSs). A triple mutant lacking MYC2, MYC3, and MYC4, three basic helix-loop-helix transcription factors that are known to additively control jasmonate-related defense responses, was shown to have a highly reduced expression of GS biosynthesis genes. The myc2 myc3 myc4 (myc234) triple mutant was almost completely devoid of GS and was extremely susceptible to the generalist herbivore Spodoptera littoralis. On the contrary, the specialist Pieris brassicae was unaffected by the presence of GS and preferred to feed on wild-type plants. In addition, lack of GS in myc234 drastically modified S. littoralis feeding behavior. Surprisingly, the expression of MYB factors known to regulate GS biosynthesis genes was not altered in myc234, suggesting that MYC2/MYC3/MYC4 are necessary for direct transcriptional activation of GS biosynthesis genes. To support this, chromatin immunoprecipitation analysis showed that MYC2 binds directly to the promoter of several GS biosynthesis genes in vivo. Furthermore, yeast two-hybrid and pull-down experiments indicated that MYC2/MYC3/MYC4 interact directly with GS-related MYBs. This specific MYC-MYB interaction plays a crucial role in the regulation of defense secondary metabolite production and underlines the importance of GS in shaping plant interactions with adapted and nonadapted herbivores.

Improving Dynamic Characteristics of Open-loop Controlled Log Crane

The improvement of the dynamics of flexible manipulators like log cranes often requires advanced control methods. This thesis discusses the vibration problems in the cranes used in commercial forestry machines. Two control methods, adaptive filtering and semi-active damping, are presented. The adaptive filter uses a part of the lowest natural frequency of the crane as a filtering frequency. The payload estimation algorithm, filtering of control signal and algorithm for calculation of the lowest natural frequency of the crane are presented. The semi-active damping method is basedon pressure feedback. The pressure vibration, scaled with suitable gain, is added to the control signal of the valve of the lift cylinder to suppress vibrations. The adaptive filter cuts off high frequency impulses coming from the operatorand semi-active damping suppresses the crane?s oscillation, which is often caused by some external disturbance. In field tests performed on the crane, a correctly tuned (25 % tuning) adaptive filter reduced pressure vibration by 14-17 % and semi-active damping correspondingly by 21-43%. Applying of these methods require auxiliary transducers, installed in specific points in the crane, and electronically controlled directional control valves.

Circadian clock orchestration of signaling pathways influences mouse metabolism

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.

Protein loop compaction and the origin of the effect of arginine and glutamic acid mixtures on solubility, stability and transient oligomerization of proteins

Addition of a 50 mM mixture of l-arginine and l-glutamic acid (RE) is extensively used to improve protein solubility and stability, although the origin of the effect is not well understood. We present Small Angle X-ray Scattering (SAXS) and Nuclear Magnetic Resonance (NMR) results showing that RE induces protein compaction by collapsing flexible loops on the protein core. This is suggested to be a general mechanism preventing aggregation and improving resistance to proteases and to originate from the polyelectrolyte nature of RE. Molecular polyelectrolyte mixtures are expected to display long range correlation effects according to dressed interaction site theory. We hypothesize that perturbation of the RE solution by dissolved proteins is proportional to the volume occupied by the protein. As a consequence, loop collapse, minimizing the effective protein volume, is favored in the presence of RE.

Search and Discovery : OER's Open Loop

Open educational resources (OER) promise increased access, participation, quality, and relevance, in addition to cost reduction. These seemingly fantastic promises are based on the supposition that educators and learners will discover existing resources, improve them, and share the results, resulting in a virtuous cycle of improvement and re-use. By anecdotal metrics, existing web scale search is not working for OER. This situation impairs the cycle underlying the promise of OER, endangering long term growth and sustainability. While the scope of the problem is vast, targeted improvements in areas of curation, indexing, and data exchange can improve the situation, and create opportunities for further scale. I explore the way the system is currently inadequate, discuss areas for targeted improvement, and describe a prototype system built to test these ideas. I conclude with suggestions for further exploration and development.