1,107,478 research outputs found

    How do Candida glabrata´s biofilms respond to antifungal drugs?

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    Candida species are responsible for recurrent human infections, mostly in immunocompromised patients, due to their high vulnerability. Candida glabrata has been shown to have a major role in these infections being the second most prevalent species involved in human fungemia. Objective: To understand the effect of three different antifungal agents Fluconazole (Flu), Amphotericin B (AmB) and Caspofungin (Csf) - in C. glabratas biofilm formation, specially their role on matrix composition.Programa Operacional, Fatores de competitividade – COMPETE and by national funds through FCT – Fundação para a Ciência e a Tecnologia on the scope of the projects FCT PTDC/SAU-MIC/119069/2010, RECI/EBB- EBI/0179/2012, PEst-OE/EQB/LA0023/2013 Project “BioHealth - Biotechnology and Bioengineering approachesto improvehealthquality",Ref. NORTE-07-0124-FEDER-000027, co-funded by the Programa Operacional Regional do Norte (ON.2 – O Novo Norte), QREN, FEDE

    The (m,n)(m,n)-rational q,tq, t-Catalan polynomials for m=3m=3 and their q,tq,t-symmetry

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    We introduce a new statistic, skip, on rational (3,n)(3,n)-Dyck paths and define a marked rank word for each path when nn is not a multiple of 3. If a triple of valid statistics (area,skip,dinv) are given, we have an algorithm to construct the marked rank word corresponding to the triple. By considering all valid triples we give an explicit formula for the (m,n)(m,n)-rational q,tq,t-Catalan polynomials when m=3m=3. Then there is a natural bijection on the triples of statistics (area,skips,dinv) which exchanges the statistics area and dinv while fixing the skip. Thus we prove the q,tq,t-symmetry of (m,n)(m,n)-rational q,tq, t-Catalan polynomials for m=3m=3.Comment: 11 pages, 4 figure

    Torsional rigidity for regions with a Brownian boundary

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    Let TmT^m be the mm-dimensional unit torus, mNm \in N. The torsional rigidity of an open set ΩTm\Omega \subset T^m is the integral with respect to Lebesgue measure over all starting points xΩx \in \Omega of the expected lifetime in Ω\Omega of a Brownian motion starting at xx. In this paper we consider Ω=Tm\β[0,t]\Omega = T^m \backslash \beta[0,t], the complement of the path β[0,t]\beta[0,t] of an independent Brownian motion up to time tt. We compute the leading order asymptotic behaviour of the expectation of the torsional rigidity in the limit as tt \to \infty. For m=2m=2 the main contribution comes from the components in T2\β[0,t]T^2 \backslash \beta [0,t] whose inradius is comparable to the largest inradius, while for m=3m=3 most of T3\β[0,t]T^3 \backslash \beta [0,t] contributes. A similar result holds for m4m \geq 4 after the Brownian path is replaced by a shrinking Wiener sausage Wr(t)[0,t]W_{r(t)}[0,t] of radius r(t)=o(t1/(m2))r(t)=o(t^{-1/(m-2)}), provided the shrinking is slow enough to ensure that the torsional rigidity tends to zero. Asymptotic properties of the capacity of β[0,t]\beta[0,t] in R3R^3 and W1[0,t]W_1[0,t] in RmR^m, m4m \geq 4, play a central role throughout the paper. Our results contribute to a better understanding of the geometry of the complement of Brownian motion on TmT^m, which has received a lot of attention in the literature in past years.Comment: 26 pages, 1 figur

    On the geometry of almost S\mathcal{S}-manifolds

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    An ff-structure on a manifold MM is an endomorphism field ϕ\phi satisfying ϕ3+ϕ=0\phi^3+\phi=0. We call an ff-structure {\em regular} if the distribution T=kerϕT=\ker\phi is involutive and regular, in the sense of Palais. We show that when a regular ff-structure on a compact manifold MM is an almost §\S-structure, as defined by Duggal, Ianus, and Pastore, it determines a torus fibration of MM over a symplectic manifold. When \rank T = 1, this result reduces to the Boothby-Wang theorem. Unlike similar results due to Blair-Ludden-Yano and Soare, we do not assume that the ff-structure is normal. We also show that given an almost S\mathcal{S}-structure, we obtain an associated Jacobi structure, as well as a notion of symplectization.Comment: 12 pages, title change, minor typo corrections, to appear in ISRN Geometr
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