966 resultados para Volterra type integral equation system


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In many plant and animal bacterial pathogens, the Type III secretion system (TTSS) that directly translocates effector proteins into the eukaryotic host cells is essential for the development of disease. In all species studied, the transcription of the TTSS and most of its effector substrates is tightly regulated by a succession of consecutively activated regulators. However, the whole genetic programme driven by these regulatory cascades is still unknown, especially in bacterial plant pathogens. Here, we have characterised the programme triggered by HrpG, a host-responsive regulator of the TTSS activation cascade in the plant pathogen Ralstonia solanacearum. We show through genome-wide expression analysis that, in addition to the TTSS, HrpG controls the expression of a previously undescribed TTSS-independent pathway that includes a number of other virulence determinants and genes likely involved in adaptation to life in the host. Functional studies revealed that this second pathway co-ordinates the bacterial production of plant cell wall-degrading enzymes, exopolysaccharide, and the phytohormones ethylene and auxin. We provide experimental evidence that these activities contribute to pathogenicity. We also show that the ethylene produced by R. solanacearum is able to modulate the expression of host genes and can therefore interfere with the signalling of plant defence responses. These results provide a new, integrated view of plant bacterial pathogenicity, where a common regulator activates synchronously upon infection the TTSS, other virulence determinants and a number of adaptive functions, which act co-operatively to cause disease.

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Les systèmes bactériens de sécrétion de type IV (T4SS) sont constitués d’un ensemble de 8 à 12 protéines conservées. Ces dernières sont utilisées lors de la translocation de protéines, la translocation de complexes ADN-protéines mais aussi pour le transport de ces derniers au travers de la membrane cellulaire. Les T4SS, en tant que facteurs de virulence pour beaucoup de pathogènes comme Brucella suis, sont donc d’excellents modèles cibles pour le développement de médicaments d’antivirulence. Ces médicaments, en privant le pathogène de son facteur essentiel de virulence : le T4SS, constituent une alternative ou encore une amélioration des traitements antibiotiques utilisés actuellement. VirB8, un facteur d’assemblage conservé dans le T4SS, forme des dimères qui sont importants pour la fonction des T4SS dans ces pathogènes. De par ses interactions multiples, VirB8 est un excellent modèle pour l’analyse des facteurs d’assemblage mais aussi en tant que cible de médicaments qui empêcheraient son interaction avec d’autres protéines et qui, in fine, désarmeraient les bactéries en les privant de leur fonctions essentielles de virulence. À ce jour, nous savons qu’il existe un équilibre monomère-dimère et un processus d’homodimerization de VirB8 dont l’importance est vitale pour la fonctionnement biologique des T4SSs. En se basant sur des essais quantitatifs d’interaction, nous avons identifié (i) des sites potentiels d’interaction avec d’autres protéines VirB du T4SS mais aussi (ii) isolé des petites molécules inhibitrices afin de tester la fonction protéique de VirB8. Afin de déterminer les acides aminés importants pour l’hétérodimérization de VirB8 avec VirB10, nous avons effectué des expériences de mutagenèse aléatoire, de phage display et d’arrimage moléculaire in silico. Ces expériences ont démontré l’importance de trois acides aminés localisés sur le feuillet β : R160, S162, T164 et I165. Ces derniers seraient importants pour l’association de VirB8 avec VirB10 étant donné que leur mutagenèse entraine une diminution de la formation du complexe VirB8-VirB10. L’objectif actuel de notre projet de recherche est de pouvoir mieux comprendre mais aussi d’évaluer le rôle de VirB8 dans l’assemblage du T4SS. Grace à un méthode de criblage adaptée à partir de la structure de VirB8, nous avons pu identifié une petite molécule inhibitrice BAR-068, qui aurait un rôle prometteur dans l’inhibition du T4SS. Nous avons utilisé la spectroscopie par fluorescence, l’essai à deux hybrides, le cross-linking et la cristallographie afin de déterminer le mécanisme d'interaction existant entre VirB8 et BAR-068. Ces travaux pourraient permettre de nombreuses avancées, notamment en termes de compréhension des mécanismes d’inhibition du T4SS. Notre objectif ultime est de pouvoir caractériser la séquence d’évènements essentiels à l’assemblage et au fonctionnement du T4SS. De manière globale, notre projet de recherche permettrait de révéler les grands principes d’assemblage des protéines membranaires, les processus de sécrétion de protéines chez les bactéries mais aussi de proposer une nouvelle stratégie lors du développement de drogues antimicrobiennes.

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In this paper we consider the 2D Dirichlet boundary value problem for Laplace’s equation in a non-locally perturbed half-plane, with data in the space of bounded and continuous functions. We show uniqueness of solution, using standard Phragmen-Lindelof arguments. The main result is to propose a boundary integral equation formulation, to prove equivalence with the boundary value problem, and to show that the integral equation is well posed by applying a recent partial generalisation of the Fredholm alternative in Arens et al [J. Int. Equ. Appl. 15 (2003) pp. 1-35]. This then leads to an existence proof for the boundary value problem. Keywords. Boundary integral equation method, Water waves, Laplace’s

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A new boundary integral operator is introduced for the solution of the soundsoft acoustic scattering problem, i.e., for the exterior problem for the Helmholtz equation with Dirichlet boundary conditions. We prove that this integral operator is coercive in L2(Γ) (where Γ is the surface of the scatterer) for all Lipschitz star-shaped domains. Moreover, the coercivity is uniform in the wavenumber k = ω/c, where ω is the frequency and c is the speed of sound. The new boundary integral operator, which we call the “star-combined” potential operator, is a slight modification of the standard combined potential operator, and is shown to be as easy to implement as the standard one. Additionally, to the authors' knowledge, it is the only second-kind integral operator for which convergence of the Galerkin method in L2(Γ) is proved without smoothness assumptions on Γ except that it is Lipschitz. The coercivity of the star-combined operator implies frequency-explicit error bounds for the Galerkin method for any approximation space. In particular, these error estimates apply to several hybrid asymptoticnumerical methods developed recently that provide robust approximations in the high-frequency case. The proof of coercivity of the star-combined operator critically relies on an identity first introduced by Morawetz and Ludwig in 1968, supplemented further by more recent harmonic analysis techniques for Lipschitz domains.

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We consider the Dirichlet and Robin boundary value problems for the Helmholtz equation in a non-locally perturbed half-plane, modelling time harmonic acoustic scattering of an incident field by, respectively, sound-soft and impedance infinite rough surfaces.Recently proposed novel boundary integral equation formulations of these problems are discussed. It is usual in practical computations to truncate the infinite rough surface, solving a boundary integral equation on a finite section of the boundary, of length 2A, say. In the case of surfaces of small amplitude and slope we prove the stability and convergence as A→∞ of this approximation procedure. For surfaces of arbitrarily large amplitude and/or surface slope we prove stability and convergence of a modified finite section procedure in which the truncated boundary is ‘flattened’ in finite neighbourhoods of its two endpoints. Copyright © 2001 John Wiley & Sons, Ltd.

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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

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The type IV secretion system (T4SS) is used by Gram-negative bacteria to translocate protein and DNA substrates across the cell envelope and into target cells. Xanthomonas citri subsp. citri contains two copies of the T4SS, one in the chromosome and the other is plasmid-encoded. To understand the conditions that induce expression of the T4SS in Xcc, we analyzed, in vitro and in planta, the expression of 18 ORFs from the T4SS and 7 hypothetical flanking genes by RT-qPCR. As a positive control, we also evaluated the expression of 29 ORFs from the type III secretion system (T3SS), since these genes are known to be expressed during plant infection condition, but not necessarily in standard culture medium. From the 29 T3SS genes analyzed by qPCR, only hrpA was downregulated at 72 h after inoculation. All genes associated with the T4SS were downregulated on Citrus leaves 72 h after inoculation. Our results showed that unlike the T3SS, the T4SS is not induced during the infection process.

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Numerous bacterial pathogens subvert cellular functions of eukaryotic host cells by the injection of effector proteins via dedicated secretion systems. The type IV secretion system (T4SS) effector protein BepA from Bartonella henselae is composed of an N-terminal Fic domain and a C-terminal Bartonella intracellular delivery domain, the latter being responsible for T4SS-mediated translocation into host cells. A proteolysis resistant fragment (residues 10-302) that includes the Fic domain shows autoadenylylation activity and adenylyl transfer onto Hela cell extract proteins as demonstrated by autoradiography on incubation with α-[(32)P]-ATP. Its crystal structure, determined to 2.9-Å resolution by the SeMet-SAD method, exhibits the canonical Fic fold including the HPFxxGNGRxxR signature motif with several elaborations in loop regions and an additional β-rich domain at the C-terminus. On crystal soaking with ATP/Mg(2+), additional electron density indicated the presence of a PP(i) /Mg(2+) moiety, the side product of the adenylylation reaction, in the anion binding nest of the signature motif. On the basis of this information and that of the recent structure of IbpA(Fic2) in complex with the eukaryotic target protein Cdc42, we present a detailed model for the ternary complex of Fic with the two substrates, ATP/Mg(2+) and target tyrosine. The model is consistent with an in-line nucleophilic attack of the deprotonated side-chain hydroxyl group onto the α-phosphorus of the nucleotide to accomplish AMP transfer. Furthermore, a general, sequence-independent mechanism of target positioning through antiparallel β-strand interactions between enzyme and target is suggested.