128 research outputs found

    Grassmann Duality for D-modules

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    We generalize the main results on projective duality to the case of the correspondence between "dual" Grassmann manifolds G and G*. The new aspect is that the "incidence variety" S subset of G x G* is no longer smooth, a fact which requires the tools of the theory of b-functions. In particular, we obtain an equivalence between the categories of sheaves on G and G*, as well as between those of D-modules; then, quantizing this equivalence, we explicitly calculate the transform of a D-module associated to a holomorphic line bundle

    Synthesis and biological properties of C-terminal vinyl ketone pseudotripeptides

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    The ubiquitin-proteasome pathway responsible for the turnover of many cellular proteins represents an attractive target in the development of new drug therapies: In particular, modulation of the proteasome activity by specific inhibitors may represent a useful tool for the treatment of tumours. Here, we report synthesis and activity of a new series of oligopseudopeptide analogues bearing a vinyl ketone pharmacophoric unit at the C-terminal position. Some derivatives showed inhibition in the mu M range of the trypsin-like (T-L) active site of the proteasome

    Generalized Verma modules, b-functions of semi-invariants and duality for twisted D-modules on generalized flag manifolds

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    Let G be a connected semisimple algebraic group over C, P a parabolic subgroup, g and p their Lie algebras. We prove a microlocal version of Gyoja's conjectures about a relation between the irreducibility of generalized Verma modules on g induced from p and the zeroes of b-functions of P-semiinvariants on G. Our method uses a duality for twisted D-modules on generalized flag manifolds

    Real forms of the Radon-Penrose transform

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    The complex Radon correspondence relates an n-dimensional projective space with the Grassmarm manifold of its p-dimensional planes. This is the geometric background of the Radon-Penrose transform, which intertwines cohomology classes of homogeneous line bundles with holomorphic solutions to the generalized massless field equations. A good framework to deal with such problems is provided by the recently developed theory of integral transforms for sheaves and D-modules. In particular, an adjunction formula describes the range of transforms acting on general function spaces, associated with constructible sheaves. The linear group SL(n + 1,C) naturally acts on the Radon correspondence. A distinguished family of function spaces is then the one associated with locally constant sheaves along the closed orbits of the real forms of SL(n + 1, C). In this paper, we systematically apply the above-mentioned adjunction formula to such function spaces. We thus obtain in a unified manner several results concerning the complex, conformal, or real Radon transforms

    C-terminal trans,trans-muconic acid ethyl ester partial retro-inverso pseudopeptides as proteasome inhibitors

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    The development of specific inhibitors of the proteasome represents an important opportunity for new drug therapies. The central role of the multicatalytic complex in the intracellular proteolysis mediated by ubiquitin-proteasome pathway goes to discovery many molecules able to selectively inhibits enzymatic active subsites. Now, we report synthesis and activity of a new partial retro-inverso oligopseudopeptide derivatives bearing a trans, transmuconic acid ethyl ester pharmacophoric unit at the C-terminal. Some analogues selectively inhibited in mu M range the caspase-like (C-L) activity in the beta 1 subunit of the proteasome

    A diffuse glioma with oligodendroglial‐like cells and extensive calcifications

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    : The tumor showed extensive microcalcifications and cells with oval, nuclei and a clear perinuclear halo (A), positive immunostaining for OLIG-2 (B), GFAP (C), and CD34 (D), and intermingled Neu-N-positive neurons (E). FISH revealed multiple signals for the centromere of chromosome 7 (gains) (green probe) and the EGFR locus (red probe) (F, left), and a single signal for the centromere of chromosome 10 (loss) (F, right)

    Effects of peptide T derivatives on the proliferation of cultured human keratinocytes.

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    [D-Ala1]peptideT-amide, the linear hexapeptide H-Thr-Hse-Asn-Tyr-Thr-Asp-OH (LPT) and its cyclic analog, cyclo(-Thr-Hse-Asn-Tyr-Thr-Asp-) (CPT), were tested for their effects on the proliferation of cultured normal human keratinocytes (KTs) in comparison with vasoactive intestinal peptide (VIP). [D-Ala1]PT-NH2, LPT and VIP (all 0.1 mumol/l) increased the cell number in KT cultures, whereas CPT was ineffective. The VIP antagonist [N-Ac-Tyr1,D-Phe2]GRF (1-29)-NH2 significantly inhibited the VIP effects on KTs. On the other hand this antagonist did not affect the peptide T (PT) compounds-induced stimulation of KTs, providing indirect evidence that the mitogenic effects of VIP and PT peptides are probably mediated via different receptors

    Structure-activity relationships of peptide T-related pentapeptides

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    Fifteen pentapeptide analogs of C-terminal fragment of peptide T, H-Ala-Ser-Thr-Thr-Thr-Asn-Tyr-Thr-OH, were prepared and tested for human monocyte chemotaxis. Structure-activity studies suggest that the potent chemotactic activity of H-Thr-Thr-Asn-Tyr-Thr-OH is mediated through the polar properties of the C-terminal carboxyl group and Thr side chains at the critical positions 5 and 8, while the hydroxyl group of N-terminal Thr and its free amino function are not essential requirements for CD4 receptor interactions
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