Mean--field limit of a particle approximation of the one-dimensional parabolic--parabolic Keller-Segel model without smoothing

In this work, we prove the well--posedness of a singularly interacting stochastic particle system and we establish propagation of chaos result towards the one-dimensional parabolic-parabolic Keller-Segel model

A Numerical Scheme for Time-Domain FE Analysis of Viscoelastic Structures with Fractional Derivative Constitutive Equations

A numerical scheme is presented for time-domain simulations of structural dynamic problems with viscoelastic materials described by fractional derivative constitutive equations. The proposed approach combines a classical Newmark time-integration method used to solve second-order mechanical systems (obtained for example after finite element discretization), with a diffusive representation based on the transformation of the fractional operator into a system of linear differential equations. The focus is given on the general formulation of the problem, the algorithm implementation into a finite element framework, and the developpement of a closed-form solution for a fractionnally damped single degree-of-freedom equation

Time domain finite element analysis of structures with fractional viscoelastic damping using time-diffusive scheme

This work aims at simulating the time response of a structure damped by viscoelastic materials. The structure is discretised by finite elements and a 4-parameter fractional derivative model is used to describe the frequency-dependency of the mechanical properties of the viscoelastic material. The proposed approach combines a classical Newmark time-integration scheme to solve the semi-discretised equation of motion with a diffusive representation of fractional derivatives. This approach is applied to a finite element model, and validated on a single degree-of-freedom system for which an analytical solution can be derived

Development, A question of Opportunity. A critique of the 2006 World Development Report, Equity and Development

The World Bank’s World Development Report 2006 addresses Equity and Development. It defines equity as respect for equal opportunities combined with the avoidance of absolute deprivation. Even though justice theories have long been interested in equity (given that equality of opportunity is one of the recognised values of Western society), it has hitherto remained a marginal issue in development economics. Our critique presents a detailed analysis of this report in the light of recent economic studies on this subject and endeavours to place it in the context of the evolution of World Bank thinking and policies. The first part illustrates the wealth of this concept, with its downside being that it is hard to accurately define. The second part demonstrates the gap between the prospects opened up by the enlargement of the development goals beyond poverty reduction and the report’s policy recommendations, which are generally an extension of the World Bank’s traditional analyses. The future of the equity concept for development policy-making could be closely dependent on the development community’s ability to take on board both all its complexity and wealth.

Rôle des Smads lors du processus de régénération chez Ambystoma mexicanum

Les capacités de guérison humaine étant limitées et grandement associées à la fibrose, la possibilité de régénérer tous tissus contribueraient grandement à l’amélioration de la santé des patients. Dans le cadre de ce projet de doctorat, nous avons publié un article montrant les limitations de certains modèles de recherche en ce qui a trait à la guérison des plaies. Ces limitations sont d’autant plus importantes lorsque la recherche traite de régénération tissulaire. Aussi, cette publication positionne l’axolotl (Ambystoma mexicanum) comme un excellent modèle pour étudier le processus de régénération épimorphique ainsi que l’importance de la signalisation TGF-β. La cytokine multifonctionnelle TGF-β est impliquée dans la guérison, l’induction des cicatrices, la différenciation, la croissance et la migration cellulaire. Cette cytokine est responsable de la guérison quasi parfaite des muqueuses buccales chez les mammifères, mais est aussi liée à la cicatrisation de plusieurs autres types tissulaires. La famille des TGF-β est aussi impliquée dans la régénération épimorphique chez l’échinoderme, ainsi que dans la régénération hépatique (hyperplasie compensatoire), ce qui confirme son rôle régulateur de la guérison parfaite. Des travaux précédents ont montré que l’utilisation d’un inhibiteur spécifique de la signalisation des TGF-β (SB-431542) empêche la régénération (Lévesque et al., 2007). Comme la voie canonique de signalisation de TGF-β s’opère via les protéines Smads (Smad2 & 3), l’étude de ces deux protéines est au cœur du second article. Lors du processus de régénération, Smad2 est phosphorylé entre 6h et 48h post-amputation (pa), ce qui correspond à la phase de migration cellulaire et au début de la prolifération. D’un autre côté, Smad3 est phosphorylé plus tôt, entre 3h et 6h pa, alors que la quantité de protéine totale diminue lors de la phase de préparation. L’administration de l’inhibiteur SB-431542 au moment de l’amputation bloque l’activation de Smad2 et de Smad3. Aucun blastème ne se forme, bien que la plaie ferme normalement. L’utilisation des inhibiteurs SIS3 et Naringenin (spécifique à Smad3) réduisent la phosphorylation de Smad3 d’environ 50 % (lorsque mesurée par immunobuvardage). Le processus de régénération ne semble toutefois pas affecté. La régulation différentielle des Smads est donc centrale au processus de régénération de l’axolotl. Dans le cadre de ce projet, nous avons aussi tenté de bloquer spécifiquement l’expression, ainsi que l’activation de Smad2. J’ai premièrement établi que Smad2 et Smad3 étaient présents dans la lignée cellulaire AL-1 et qu’ils peuvent être phosphorylés. J’ai ensuite tenté, par différentes techniques, de réduire l’activation spécifique de Smad2, sans succès. D’autre part, plusieurs expériences complémentaires confirment que l’activation de Smad3 est difficilement détectable et est peu importante pour la formation du blastème. La capacité exceptionnelle de régénération de l’axolotl est intimement liée à une activation différentielle des protéines Smad2 et Smad3. L’activation de Smad2 est associée à une prolifération cellulaire importante. D’autre part, l’absence de fibrose est potentiellement due à la faible activation de Smad3 au cours du processus de régénération.Since wound healing in human is imperfect and associated with fibrosis, understanding how regeneration works would be a great asset to improve patient’s health. During this PhD project, we have published a paper exposing the weaknesses of certain research models when studying wound healing. Those limitations are even more striking when studying regeneration. This publication sets the stage for the use of the axolotl (Ambystoma mexicanum) as an excellent model to study regeneration and the importance of TGF- for the process. The multifunctional cytokine TGF-β is involved in healing, scarring, cellular differentiation, growth and migration. This cytokine is associated with the near perfect healing of oral tissues in humans, but is also associated with scarring of multiple tissue types. TGF-β is also associated with epimorphic regeneration in echinoderm and liver hyperplasia. Previous work had shown that treatment of regenerating axolotl limbs with a specific inhibitor of TGF-β canonical signalling (SB-431542) prevents regeneration (Lévesque et al., 2007). Since canonical signaling goes through Smad2 and Smad3, those two proteins are at the center of the second publication. During limb regeneration, Smad2 is phosphorylated at 6h-48h post-amputation (pa), which corresponds to the cellular migration phase and the beginning of the proliferative phase. On the other hand, Smad3 phosphorylation happens earlier (3h-6h pa), while the total protein expression is lower. Treatment with SB-421543 blocks the phosphorylation of both Smad2 and Smad3. No blastema is formed, but the wound closes at the same rate. Treatment with other inhibitors, SIS3 or Naringenin (specifically targeting Smad3), blocks approximately 50% of Smad3 phosphorylation (as determined by western blotting), but regeneration is not affected. Differential regulation of Smads is essential for proper regeneration to occur. Lastly, we have tried multiple approaches to diminish specifically the activation of Smad2. Using the only axolotl cell line available (AL-1), we have tried inhibition with LNA molecules, long antisense and overexpression of a competitor. None of these approaches specifically reduced the levels of Smad2. In addition, other experiments confirmed that activation of Smad3 during the regeneration process is limited. The extraordinary ability to regenerate that the axolotl possesses is tightly linked to a differential activation of Smad2 and Smad3 proteins. Smad2 phosphorylation is associated with cellular proliferation and migration, hence blastema formation, while the apparent lack of Smad3 activity might partly explain why these animals do not form scar tissues

Direct experimental evidence of a growing length scale accompanying the glass transition

Understanding glass formation is a challenge because the existence of a true glass state, distinct from liquid and solid, remains elusive: Glasses are liquids that have become too viscous to flow. An old idea, as yet unproven experimentally, is that the dynamics becomes sluggish as the glass transition approaches because increasingly larger regions of the material have to move simultaneously to allow flow. We introduce new multipoint dynamical susceptibilities to estimate quantitatively the size of these regions and provide direct experimental evidence that the glass formation of molecular liquids and colloidal suspensions is accompanied by growing dynamic correlation length scales.Comment: 5 pages, 2 figure

On conditional McKean Lagrangian stochastic models

International audienceThis paper is motivated by a new class of SDEs--PDEs systems, the so called Lagrangian stochastic models which are commonly used in the simulation of turbulent flows. We study a position--velocity system which is nonlinear in the sense of McKean. As the dynamics of the velocity depends on the conditional expectation w.r.t. its position, the interaction kernel is singular. We prove existence and uniqueness of the solution to the system by solving a nonlinear martingale problem and showing that the corresponding interacting particle system propagates chaos

A sparse reconstruction framework for Fourier-based plane wave imaging

International audienceUltrafast imaging based on plane-wave (PW) insonification is an active area of research due to its capability of reaching high frame rates. Among PW imaging methods, Fourier-based approaches have demonstrated to be competitive compared with traditional delay and sum methods. Motivated by the success of compressed sensing techniques in other Fourier imaging modalities, like magnetic resonance imaging, we propose a new sparse regularization framework to reconstruct high-quality ultrasound (US) images. The framework takes advantage of both the ability to formulate the imaging inverse problem in the Fourier domain and the sparsity of US images in a sparsifying domain. We show, by means of simulations, in vitro and in vivo data, that the proposed framework significantly reduces image artifacts, i.e., measurement noise and sidelobes, compared with classical methods, leading to an increase of the image quality