Conceptual framework for strengthening exercises to prevent hamstring strains

High-speed running accounts for the majority of hamstring strains in many sports. The terminal swing phase is believed to be the most hazardous as the hamstrings are undergoing an active lengthening contraction in a long muscle length position. Prevention-based strength training mainly focuses on eccentric exercises. However, it appears crucial to integrate other parameters than the contraction type. Therefore, the aim of this study is to present a conceptual framework based on six key parameters (contraction type, load, range of motion, angular velocity, uni-/bilateral exercises, kinetic chain) for the hamstring's strength exercise for strain prevention. Based on the biomechanical parameters of sprinting, it is proposed to use high-load eccentric contractions. The movement should be performed at a slow to moderate angular velocity and focused at the knee joint, while the hip is kept in a large flexion position in order to reach a greater elongation stress of the hamstrings than in the terminal swing phase. In this way, we believe that, during sprinting, athletes would be better trained to brake the knee extension effectively in the whole range of motion without overstretch of the hamstrings. Finally, based on its functional application, unilateral open kinetic chain should be preferred.

Quasilocal density functional theory and its application within the extended Thomas-Fermi approximation

In this paper we propose a generalization of the density functional theory. The theory leads to single-particle equations of motion with a quasilocal mean-field operator, which contains a quasiparticle position-dependent effective mass and a spin-orbit potential. The energy density functional is constructed using the extended Thomas-Fermi approximation and the ground-state properties of doubly magic nuclei are considered within the framework of this approach. Calculations were performed using the finite-range Gogny D1S forces and the results are compared with the exact Hartree-Fock calculations

Density matrix functional theory that includes pairing correlations

The extension of density functional theory (DFT) to include pairing correlations without formal violation of the particle-number conservation condition is described. This version of the theory can be considered as a foundation of the application of existing DFT plus pairing approaches to atoms, molecules, ultracooled and magnetically trapped atomic Fermi gases, and atomic nuclei where the number of particles is conserved exactly. The connection with Hartree-Fock-Bogoliubov (HFB) theory is discussed, and the method of quasilocal reduction of the nonlocal theory is also described. This quasilocal reduction allows equations of motion to be obtained which are much simpler for numerical solution than the equations corresponding to the nonlocal case. Our theory is applied to the study of some even Sn isotopes, and the results are compared with those obtained in the standard HFB theory and with the experimental ones.

Dimensional reduction and gauge group reduction in Bianchi-type cosmology

In this paper we examine in detail the implementation, with its associated difficulties, of the Killing conditions and gauge fixing into the variational principle formulation of Bianchi-type cosmologies. We address problems raised in the literature concerning the Lagrangian and the Hamiltonian formulations: We prove their equivalence, make clear the role of the homogeneity preserving diffeomorphisms in the phase space approach, and show that the number of physical degrees of freedom is the same in the Hamiltonian and Lagrangian formulations. Residual gauge transformations play an important role in our approach, and we suggest that Poincaré transformations for special relativistic systems can be understood as residual gauge transformations. In the Appendixes, we give the general computation of the equations of motion and the Lagrangian for any Bianchi-type vacuum metric and for spatially homogeneous Maxwell fields in a nondynamical background (with zero currents). We also illustrate our counting of degrees of freedom in an appendix.

Transolecranon anterior fracture dislocation.

Between January 1996 and July 2003, 93 consecutive patients operated on with a diagnosis of olecranon fractures were identified from our trauma unit files. Fourteen transolecranon fracture-dislocations were found after a retrospective X-radiographic evaluation. Eight patients were women and six were men, with a mean age of 54 years. There were 4 noncomminuted olecranon fractures, treated with K-wires and single tension-band wiring. The remaining 10 fractures were complex fractures, treated in 3 cases with multiple K-wires and single tension-band wiring, in 2 by use of one-third tubular plates, in 1 with a 3.5-mm dynamic compression plate, and in the remaining 4 with 3.5-mm reconstruction plates. Ligament repair was not performed in any case. Three patients needed reoperation because of early failure of primary fixation. Patients were reviewed at a mean follow-up of 3.6 years. Two reported difficulties in daily activities, none with any symptoms of elbow instability. According to the Broberg and Morrey score, 4 patients had excellent results, 6 had good results, 2 had fair results, and 2 had poor results. Four patients showed signs of degenerative arthritis on the radiographs obtained at follow-up. We conclude that transolecranon fracture-dislocation is an underreported and misdiagnosed injury. Various fixation techniques can restore the anatomic relationships and contour of the trochlear notch; the imperative goal is to obtain a good stable primary fixation and allow early active mobilization.

An analytical approach to sorting in periodic and random potentials

There has been a recent revolution in the ability to manipulate micrometer-sized objects on surfaces patterned by traps or obstacles of controllable configurations and shapes. One application of this technology is to separate particles driven across such a surface by an external force according to some particle characteristic such as size or index of refraction. The surface features cause the trajectories of particles driven across the surface to deviate from the direction of the force by an amount that depends on the particular characteristic, thus leading to sorting. While models of this behavior have provided a good understanding of these observations, the solutions have so far been primarily numerical. In this paper we provide analytic predictions for the dependence of the angle between the direction of motion and the external force on a number of model parameters for periodic as well as random surfaces. We test these predictions against exact numerical simulations.

Poincar-Cartan integral invariant and canonical transformation for singular lagrangians

In this work we develop the canonical formalism for constrained systems with a finite number of degrees of freedom by making use of the PoincarCartan integral invariant method. A set of variables suitable for the reduction to the physical ones can be obtained by means of a canonical transformation. From the invariance of the PoincarCartan integral under canonical transformations we get the form of the equations of motion for the physical variables of the system.

Stochastic processes induced by dichotomous markov noise: Some exact dynamical results

Stochastic processes defined by a general Langevin equation of motion where the noise is the non-Gaussian dichotomous Markov noise are studied. A non-FokkerPlanck master differential equation is deduced for the probability density of these processes. Two different models are exactly solved. In the second one, a nonequilibrium bimodal distribution induced by the noise is observed for a critical value of its correlation time. Critical slowing down does not appear in this point but in another one.

Higher order Lagrangian systems: Geometric structures, Dynamics, and Constraints

In order to study the connections between Lagrangian and Hamiltonian formalisms constructed from aperhaps singularhigher-order Lagrangian, some geometric structures are constructed. Intermediate spaces between those of Lagrangian and Hamiltonian formalisms, partial Ostrogradskiis transformations and unambiguous evolution operators connecting these spaces are intrinsically defined, and some of their properties studied. Equations of motion, constraints, and arbitrary functions of Lagrangian and Hamiltonian formalisms are thoroughly studied. In particular, all the Lagrangian constraints are obtained from the Hamiltonian ones. Once the gauge transformations are taken into account, the true number of degrees of freedom is obtained, both in the Lagrangian and Hamiltonian formalisms, and also in all the intermediate formalisms herein defined.

WATER INFILTRATION IN TWO CULTIVATED SOILS IN SOUTHERN BRAZIL

Infiltration is the passage of water through the soil surface, influenced by the soil type and cultivation and by the soil roughness, surface cover and water content. Infiltration absorbs most of the rainwater and is therefore crucial for planning mechanical conservation practices to manage runoff. This study determined water infiltration in two soil types under different types of management and cultivation, with simulated rainfall of varying intensity and duration applied at different times, and to adjust the empirical model of Horton to the infiltration data. The study was conducted in southern Brazil, on Dystric Nitisol (Nitossolo Bruno aluminoférrico húmico) and Humic Cambisol (Cambissolo Húmico alumínico léptico) soils to assess the following situations: simulated rains on the Nitisol from 2001 to 2012 in 31 treatments, differing in crop type, sowing direction, type of soil opener on the seeder, amount and type of crop residue and amount of liquid swine manure applied; on the Cambisol, rains were simlated from 2006 to 2012 and 18 treatments were evaluated, differing in crop, seeding direction and crop residue type. The constant of the water infiltration rate into the soil varies significantly with the soil type (30.2 mm h-1 in the Nitisol and 6.6 mm h-1 in the Cambisol), regardless of the management system, application time and rain intensity and duration. At the end of rainfalls, soil-water infiltration varies significantly with the management system, with the timing of application and rain intensity and duration, with values ranging from 13 to 59 mm h-1, in the two studied soils. The characteristics of the sowing operation in terms of relief, crop type and amount and type of crop residue influenced soil water infiltration: in the Nitisol, the values of contour and downhill seeding vary between 27 and 43 mm h-1, respectively, with crop residues of corn, wheat and soybean while in the Cambisol, the variation is between 2 and 36 mm h-1, respectively, in soybean and corn crops. The Horton model fits the values of water infiltration rate into the soil, resulting in the equation i = 30.2 + (68.2 - 30.2) e-0.0371t (R2 = 0.94**) for the Nitisol and i = 6.6 + (64.5 - 6.6) e-0.0537t (R2 = 0.99**) for the Cambisol.

General Interaction Picture from Action Principle for Mechanics

In this paper we consider a general action principle for mechanics written by means of the elements of a Lie algebra. We study the physical reasons why we have to choose precisely a Lie algebra to write the action principle. By means of such an action principle we work out the equations of motion and a technique to evaluate perturbations in a general mechanics that is equivalent to a general interaction picture. Classical or quantum mechanics come out as particular cases when we make realizations of the Lie algebra by derivations into the algebra of products of functions or operators, respectively. Later on we develop in particular the applications of the action principle to classical and quantum mechanics, seeing that in this last case it agrees with Schwinger's action principle. The main contribution of this paper is to introduce a perturbation theory and an interaction picture of classical mechanics on the same footing as in quantum mechanics.

Epac contributes to cardiac hypertrophy and amyloidosis induced by radiotherapy but not fibrosis.

BACKGROUND: Cardiac toxicity is a side-effect of anti-cancer treatment including radiotherapy and this translational study was initiated to characterize radiation-induced cardiac side effects in a population of breast cancer patients and in experimental models in order to identify novel therapeutic target. METHODS: The size of the heart was evaluated in CO-HO-RT patients by measuring the Cardiac-Contact-Distance before and after radiotherapy (48months of follow-up). In parallel, fibrogenic signals were studied in a severe case of human radiation-induced pericarditis. Lastly, radiation-induced cardiac damage was studied in mice and in rat neonatal cardiac cardiomyocytes. RESULTS: In patients, time dependent enhancement of the CCD was measured suggesting occurrence of cardiac hypertrophy. In the case of human radiation-induced pericarditis, we measured the activation of fibrogenic (CTGF, RhoA) and remodeling (MMP2) signals. In irradiated mice, we documented decreased contractile function, enlargement of the ventricular cavity and long-term modification of the time constant of decay of Ca(2+) transients. Both hypertrophy and amyloid deposition were correlated with the induction of Epac-1; whereas radiation-induced fibrosis correlated with Rho/CTGF activation. Transactivation studies support Epac contribution in hypertrophy stimulation and showed that radiotherapy and Epac displayed specific and synergistic signals. CONCLUSION: Epac-1 has been identified as a novel regulator of radiation-induced hypertrophy and amyloidosis but not fibrosis in the heart.

Resting-State Functional Connectivity Emerges from Structurally and Dynamically Shaped Slow Linear Fluctuations.

Brain fluctuations at rest are not random but are structured in spatial patterns of correlated activity across different brain areas. The question of how resting-state functional connectivity (FC) emerges from the brain's anatomical connections has motivated several experimental and computational studies to understand structure-function relationships. However, the mechanistic origin of resting state is obscured by large-scale models' complexity, and a close structure-function relation is still an open problem. Thus, a realistic but simple enough description of relevant brain dynamics is needed. Here, we derived a dynamic mean field model that consistently summarizes the realistic dynamics of a detailed spiking and conductance-based synaptic large-scale network, in which connectivity is constrained by diffusion imaging data from human subjects. The dynamic mean field approximates the ensemble dynamics, whose temporal evolution is dominated by the longest time scale of the system. With this reduction, we demonstrated that FC emerges as structured linear fluctuations around a stable low firing activity state close to destabilization. Moreover, the model can be further and crucially simplified into a set of motion equations for statistical moments, providing a direct analytical link between anatomical structure, neural network dynamics, and FC. Our study suggests that FC arises from noise propagation and dynamical slowing down of fluctuations in an anatomically constrained dynamical system. Altogether, the reduction from spiking models to statistical moments presented here provides a new framework to explicitly understand the building up of FC through neuronal dynamics underpinned by anatomical connections and to drive hypotheses in task-evoked studies and for clinical applications.

Régulation du canal à sodium épithélial par le sodim extracellulaire et développement d'un microsystème intégré pour l'étude électrophysiologique sur ovocytes de "Xenopus laevis"

Résumé : La première partie de ce travail de thèse est consacrée au canal à sodium épithélial (ENaC), l'élément clé du transport transépithélial de Na+ dans le néphron distal, le colon et les voies aériennes. Ce canal est impliqué dans certaines formes génétiques d'hypo- et d'hypertension (PHA I, syndrome de Liddle), mais aussi, indirectement, dans la mucoviscidose. La réabsorption transépithéliale de Na+ est principalement régulée par des hormones (aldostérone, vasopressine), mais aussi directement par le Na+, via deux phénomènes distincts, la « feedback inhibition » et la « self-inhibition » (SI). Ce second phénomène est dépendant de la concentration de Na+ extracellulaire, et montre une cinétique rapide (constante de temps d'environ 3 s). Son rôle physiologique serait d'assurer l'homogénéité de la réabsorption de Na+ et d'empêcher que celle-ci soit excessive lorsque les concentrations de Na+ sont élevées. Différents éléments appuient l'hypothèse de la présence d'un site de détection de la concentration du Na+ extracellulaire sur ENaC, gouvernant la SI. L'objectif de ce premier projet est de démontrer l'existence du site de détection impliqué dans la SI et de déterminer ses propriétés physiologiques et sa localisation. Nous avons montré que les caractéristiques de la SI (en termes de sélectivité et affinité ionique) sont différentes des propriétés de conduction du canal. Ainsi, nos résultats confirment l'hypothèse de l'existence d'un site de détection du Na+ (responsable de la transmission de l'information au mécanisme de contrôle de l'ouverture du canal), différent du site de conduction. Par ailleurs, ce site présente une affinité basse et indépendante du voltage pour le Na+ et le Li+ extracellulaires. Le site semble donc être localisé dans le domaine extracellulaire, plutôt que transmembranaire, de la protéine. L'étape suivante consiste alors à localiser précisément le site sur le canal. Des études précédentes, ainsi que des résultats préliminaires récemment obtenus, mettent en avant le rôle dans la self-inhibition du premiers tiers des boucles extracellulaires des sous-unités α et γ du canal. Le second projet tire son origine des limitations de la méthode classique pour l'étude des canaux ioniques, après expression dans les ovocytes de Xenopus laevis, par la méthode du voltage-clamp à deux électrodes, en particulier les limitations dues à la lenteur des échanges de solutions. En outre, cette méthode souffre de nombreux désavantages (manipulations délicates et peu rapides, grands volumes de solution requis). Plusieurs systèmes améliorés ont été élaborés, mais aucun ne corrige tous les désavantages de la méthode classique Ainsi, l'objectif ici est le développement d'un système, pour l'étude électrophysiologique sur ovocytes, présentant les caractéristiques suivantes : manipulation des cellules facilitée et réduite, volumes de solution de perfusion faibles et vitesse rapide d'échange de la perfusion. Un microsystème intégré sur une puce a été élaboré. Ces capacités de mesure ont été testées en utilisant des ovocytes exprimant ENaC. Des résultats similaires (courbes IV, courbes dose-réponse au benzamil) à ceux obtenus avec le système traditionnel ont été enregistrés avec le microsystème. Le temps d'échange de solution a été estimé à ~20 ms et des temps effectifs de changement ont été déterminés comme étant 8 fois plus court avec le nouveau système comparé au classique. Finalement, la SI a été étudiée et il apparaît que sa cinétique est 3 fois plus rapide que ce qui a été estimé précédemment avec le système traditionnel et son amplitude de 10 à 20 % plus importante. Le nouveau microsystème intégré apparaît donc comme adapté à la mesure électrophysiologique sur ovocytes de Xenopus, et possèdent des caractéristiques appropriées à l'étude de phénomènes à cinétique rapide, mais aussi à des applications de type « high throughput screening ». Summary : The first part of the thesis is related to the Epithelial Sodium Channel (ENaC), which is a key component of the transepithelial Na+ transport in the distal nephron, colon and airways. This channel is involved in hypo- and hypertensive syndrome (PHA I, Liddle syndrome), but also indirectly in cystic fibrosis. The transepithelial reabsorption of Na+ is mainly regulated by hormones (aldosterone, vasopressin), but also directly by Na+ itself, via two distinct phenomena, feedback inhibition and self-inhibition. This latter phenomenon is dependant on the extracellular Na+ concentration and has rapid kinetics (time constant of about 3 s). Its physiological role would be to prevent excessive Na+ reabsorption and ensure this reabsorption is homogenous. Several pieces of evidence enable to propose the hypothesis of an extracellular Na+ sensing site on ENaC, governing self-inhibition. The aim of this first project is to demonstrate the existence of the sensing site involved in self-inhibition and to determine its physiological properties and localization. We show self-inhibition characteristics (ionic selectivity and affinity) are different from the conducting properties of the channel. Our results support thus the hypothesis that the Na+ sensing site (responsible of the transmission of the information about the extracellular Na+ concentration to the channel gating mechanism), is different from the channel conduction site. Furthermore, the site has a low and voltage-insensitive affinity for extracellular Na+ or Li+. This site appears to be located in the extracellular domain rather than in the transmembrane part of the channel protein. The next step is then to precisely localize the site on the channel. Some previous studies and preliminary results we recently obtained highlight the role of the first third of the extracellular loop of the α and γ subunits of the channel in self-inhibition. The second project originates in the limitation of the classical two-electrode voltageclamp system classically used to study ion channels expressed in Xenopus /aevis oocytes, in particular limitations related to the slow solution exchange time. In addition, this technique undergoes several drawbacks (delicate manipulations, time consumption volumes). Several improved systems have been built up, but none corrected all these detriments. The aim of this second study is thus to develop a system for electrophysiological study on oocytes featuring an easy and reduced cell handling, small necessary perfusion volumes and fast fluidic exchange. This last feature establishes the link with the first project, as it should enable to improve the kinetics analysis of self-inhibition. A PDMS chip-based microsystem has been elaborated. Its electrophysiological measurement abilities have been tested using oocytes expressing ENaC. Similar measurements (IV curves of benzamil-sensitive currents, benzamil dose-response curves) have been obtained with this system, compared to the traditional one. The solution exchange time has been estimated at N20 ms and effective exchange times (on inward currents) have been determined as 8 times faster with the novel system compared to the classical one. Finally, self-inhibition has been studied and it appears its kinetics is 3 times faster and its amplitude 10 to 20 % higher than what has been previously estimated with the traditional system. The novel integrated microsystem appears therefore to be convenient for electrophysiological measurement on Xenopus oocytes, and displays features suitable for the study of fast kinetics phenomenon, but also high throughput screening applications. Résumé destiné large public : Le corps humain est composé d'organes, eux-mêmes constitués d'un très grand nombre de cellules. Chaque cellule possède une paroi appelée membrane cellulaire qui sépare l'intérieur de cette cellule (milieu intracellulaire) du liquide (milieu extracellulaire) dans lequel elle baigne. Le maintien de la composition stable de ce milieu extracellulaire est essentiel pour la survie des cellules et donc de l'organisme. Le sodium est un des composants majeurs du milieu extracellulaire, sa quantité dans celui-ci doit être particulièrement contrôlée. Le sodium joue en effet un rôle important : il conditionne le volume de ce liquide extracellulaire, donc, par la même, du sang. Ainsi, une grande quantité de sodium présente dans ce milieu va de paire avec une augmentation du volume sanguin, ce qui conduit l'organisme à souffrir d'hypertension. On se rend donc compte qu'il est très important de contrôler la quantité de sodium présente dans les différents liquides de l'organisme. Les apports de sodium dans l'organisme se font par l'alimentation, mais la quantité de sodium présente dans le liquide extracellulaire est contrôlée de manière très précise par le rein. Au niveau de cet organe, on appelle urine primaire le liquide résultant de la filtration du sang. Elle contient de nombreuses substances, des petites molécules, dont l'organisme a besoin (sodium, glucose...), qui sont ensuite récupérées dans l'organe. A la sortie du rein, l'urine finale ne contient plus que l'excédent de ces substances, ainsi que des déchets à éliminer. La récupération du sodium est plus ou moins importante, en fonction des ajustements à apporter à la quantité présente dans le liquide extracellulaire. Elle a lieu grâce à la présence de protéines, dans les membranes des cellules du rein, capables de le transporter et de le faire transiter de l'urine primaire vers le liquide extracellulaire, qui assurera ensuite sa distribution dans l'ensemble de l'organisme. Parmi ces protéines « transporteurs de sodium », nous nous intéressons à une protéine en particulier, appelée ENaC. Il a été montré qu'elle jouait un rôle important dans cette récupération de sodium, elle est en effet impliquée dans des maladies génétiques conduisant à l'hypo- ou à l'hypertension. De précédents travaux ont montré que lorsque le sodium est présent en faible quantité dans l'urine primaire, cette protéine permet d'en récupérer une très grande partie. A l'inverse, lorsque cette quantité de sodium dans l'urine primaire est importante, sa récupération par le biais d'ENaC est réduite. On parle alors d'autorégulation : la protéine elle-même est capable d'adapter son activité de transport en fonction des conditions. Ce phénomène d'autorégulation constitue a priori un mécanisme préventif visant à éviter une trop grande récupération de sodium, limitant ainsi les risques d'hypertension. La première partie de ce travail de thèse a ainsi consisté à clarifier le mécanisme d'autorégulation de la protéine ENaC. Ce phénomène se caractérise en particulier par sa grande vitesse, ce qui le rend difficile à étudier par les méthodes traditionnelles. Nous avons donc, dans une deuxième partie, développé un nouveau système permettant de mieux décrire et analyser cette « autorégulation » d'ENaC. Ce second projet a été mené en collaboration avec l'équipe de Martin Gijs de l'EPFL.