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Higher derived brackets and homotopy algebras
"... Abstract. We give a construction of homotopy algebras based on “higher derived brackets”. More precisely, the data include a Lie superalgebra with a projector on an Abelian subalgebra satisfying a certain axiom, and an odd element ∆. Given this, we introduce an infinite sequence of higher brackets o ..."
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Cited by 80 (5 self)
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Abstract. We give a construction of homotopy algebras based on “higher derived brackets”. More precisely, the data include a Lie superalgebra with a projector on an Abelian subalgebra satisfying a certain axiom, and an odd element ∆. Given this, we introduce an infinite sequence of higher brackets on the image of the projector, and explicitly calculate their Jacobiators in terms of ∆ 2. This allows to control higher Jacobi identities in terms of the “order ” of ∆ 2. Examples include Stasheff’s strongly homotopy Lie algebras and variants of homotopy Batalin–Vilkovisky algebras. There is a generalization with ∆ replaced by an arbitrary odd derivation. We discuss applications and links with other constructions.
A subset of chaperones and folding enzymes form multiprotein complexes in endoplasmic reticulum to bind nascent proteins
 Mol. Biol. Cell
, 2002
"... We demonstrate the existence of a large endoplasmic reticulum (ER)localized multiprotein complex that is comprised of the molecular chaperones BiP; GRP94; CaBP1; protein disulfide isomerase (PDI); ERdj3, a recently identified ER Hsp40 cochaperone; cyclophilin B; ERp72; GRP170; UDPglucosyltransfera ..."
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Cited by 52 (3 self)
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We demonstrate the existence of a large endoplasmic reticulum (ER)localized multiprotein complex that is comprised of the molecular chaperones BiP; GRP94; CaBP1; protein disulfide isomerase (PDI); ERdj3, a recently identified ER Hsp40 cochaperone; cyclophilin B; ERp72; GRP170; UDPglucosyltransferase; and SDF2L1. This complex is associated with unassembled, incompletely folded immunoglobulin heavy chains. Except for ERdj3, and to a lesser extent PDI, this complex also forms in the absence of nascent protein synthesis and is found in a variety of cell types. Crosslinking studies reveal that the majority of these chaperones are included in the complex. Our data suggest that this subset of ER chaperones forms an ER network that can bind to unfolded protein substrates instead of existing as free pools that assembled onto substrate proteins. It is noticeable that most of the components of the calnexin/calreticulin system, which include some of the most abundant chaperones inside the ER, are either not detected in this complex or only very poorly represented. This study demonstrates an organization of ER chaperones and folding enzymes that has not been previously appreciated and suggests a spatial separation of the two chaperone systems that may account for the temporal interactions observed in other studies.
Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
 JHEP
"... Abstract: We use the realtime finitetemperature AdS/CFT correspondence to compute the effect of general R 2 corrections to the gravitational action in AdS space on the shear viscosity of the dual gauge theory. The R 2 terms in AdS5 are determined by the central charges of the CFT. It seems that th ..."
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Cited by 43 (0 self)
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Abstract: We use the realtime finitetemperature AdS/CFT correspondence to compute the effect of general R 2 corrections to the gravitational action in AdS space on the shear viscosity of the dual gauge theory. The R 2 terms in AdS5 are determined by the central charges of the CFT. It seems that the conjectured lower bound of 1/4π on the viscositytoentropy ratio can be violated. Contents
Higher derived brackets for arbitrary derivations. In Travaux mathématiques. Fasc
 Departamento de Matemáticas, Universidad de los Andes, Carrera 1 N. 18A  10
, 2005
"... We introduce and study a construction of higher derived brackets generated by a (not necessarily inner) derivation of a Lie superalgebra. Higher derived brackets generated by an element of a Lie superalgebra were introduced in our earlier work. Examples of higher derived brackets naturally appear in ..."
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Cited by 25 (1 self)
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We introduce and study a construction of higher derived brackets generated by a (not necessarily inner) derivation of a Lie superalgebra. Higher derived brackets generated by an element of a Lie superalgebra were introduced in our earlier work. Examples of higher derived brackets naturally appear in geometry and mathematical physics. From a totally different viewpoint, we show that higher derived brackets arise when one wants to turn the inclusion map of a subalgebra of a differential Lie superalgebra, with a given complementary subalgebra, into a fibration. (For a nonAbelian complementary subalgebra, this leads to a generalization of L∞algebras with dropped or weakened (anti)symmetry of the brackets.) 1
On odd Laplace operators
 Geometry, Topology and Mathematical Physics
, 2004
"... We consider odd Laplace operators acting on densities of various weights on an odd Poisson ( = Schouten) manifold M. We prove that the case of densities of weight 1/2 (halfdensities) is distinguished by the existence of a unique odd Laplace operator depending only on a point of an “orbit space ” of ..."
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Cited by 24 (9 self)
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We consider odd Laplace operators acting on densities of various weights on an odd Poisson ( = Schouten) manifold M. We prove that the case of densities of weight 1/2 (halfdensities) is distinguished by the existence of a unique odd Laplace operator depending only on a point of an “orbit space ” of volume forms. This includes earlier results for the odd symplectic case, where there is a canonical odd Laplacian on halfdensities. The space of volume forms on M is partitioned into orbits by the action of a natural groupoid whose arrows correspond to the solutions of the quantum Batalin–Vilkovisky equations. We compare this situation with that of Riemannian and even Poisson manifolds. In particular, we show that the square of an odd Laplace operator is a Poisson vector field defining an analog of Weinstein’s “modular class”. Contents 1 Some facts from odd Poisson geometry 3 1.1 Poisson brackets and Hamiltonian vector fields......... 3
RESEARCH ARTICLE Inhibition and Reversal of Microbial Attachment by an Antibody with Parasteric Activity against the FimH Adhesin of
"... Attachment proteins from the surface of eukaryotic cells, bacteria and viruses are critical receptors in cell adhesion or signaling and are primary targets for the development of vaccines and therapeutic antibodies. It is proposed that the ligandbinding pocket in receptor proteins can shift betwe ..."
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between inactive and active conformations with weak and strong ligandbinding capability, respectively. Here, using monoclonal antibodies against a vaccine target protein fimbrial adhesin FimH of uropathogenic Escherichia coli, we demonstrate that unusually strong receptor inhibition can be achieved
A physical approach to protein structure prediction
 Biophysical Journal
, 2002
"... uses information from known proteins to predict secondary structure, but not in the tertiary structure predictions or in generating the terms of the physicsbased energy function. Our approach is also characterized by the use of an all atom energy function that includes a novel hydrophobic solvation ..."
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Cited by 13 (4 self)
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uses information from known proteins to predict secondary structure, but not in the tertiary structure predictions or in generating the terms of the physicsbased energy function. Our approach is also characterized by the use of an all atom energy function that includes a novel hydrophobic solvation function derived from experiments that shows promising ability for energy discrimination against misfolded structures. We present the results obtained using our SPSC method and energy function for blind prediction in the 4 th Critical Assessment of Techniques for Protein Structure Prediction competition, and show that our approach is more effective on targets for which less information from known proteins is available. In fact our SPSC method produced the best prediction for one of the most difficult targets of the competition, a new fold protein of 240 amino acids.
Golden gaskets: variations on the Sierpiński sieve
, 2005
"... We consider the iterated function systems (IFSs) that consist of three general similitudes in the plane with centres at three noncollinear points, and with a common contraction factor λ ∈ (0, 1). As is well known, for λ = 1/2 the attractor, Sλ, is a fractal called the Sierpiński sieve, and for λ &l ..."
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Cited by 7 (0 self)
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selfsimilar fractal, although this happens only for a very special family of algebraic λ’s (socalled “multinacci numbers”). We evaluate dimH(Sλ) for these special values by showing that Sλ is essentially the attractor for an infinite IFS which does satisfy the Open Set Condition. We also show
CayleyHamilton theorem for quantum matrix algebras of GL(mn) type
 St. Petersburg Math. Journal
"... Abstract. The classical Cayley–Hamilton identities are generalized to quantum matrix algebras of GL(mn) type. The wellknown Cayley–Hamilton theorem of classical matrix analysis claims that any square matrix M with entries in a field K satisfies the identity (0.1) ∆(M) ≡ 0, where ∆(x) =det(M−xI) i ..."
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Cited by 10 (8 self)
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Abstract. The classical Cayley–Hamilton identities are generalized to quantum matrix algebras of GL(mn) type. The wellknown Cayley–Hamilton theorem of classical matrix analysis claims that any square matrix M with entries in a field K satisfies the identity (0.1) ∆(M) ≡ 0, where ∆(x) =det(M−xI) is the characteristic polynomial of M. Provided K is algebraically
Net Glutathione Secretion across Primary Cultured Rabbit Conjunctival Epithelial Cell Layers
"... endogenous thiol antioxidant, in conjunctival tissue to date are poorly understood. The purpose of the present study was to define transport characteristics of GSH in primary cultured rabbit conjunctival epithelial cells (RCECs). METHODS. RCECs were grown on membrane filters to exhibit tight barrier ..."
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Cited by 1 (0 self)
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instillation of 3 HGSH to the apical or basolateral bathing fluid. GSH efflux was estimated from the time course of release of prebiosynthesized 35 SGSH. Transepithelial transport was assessed by instillation of 3 HGSH in either the apical or basolateral bathing fluid, followed by sampling from respective
Results 1  10
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173