Integrable Models: from Dynamical Solutions to String Theory

We review the status of integrable models from the point of view of their dynamics and integrability conditions. A few integrable models are discussed in detail. We comment on the use it is made of them in string theory. We also discuss the SO(6) symmetric Hamiltonian with SO(6) boundary. This work is especially prepared for the 70th anniversaries of Andr, Swieca (in memoriam) and Roland Koberle.

M-ficolin and leukosialin (CD43): new partners in neutrophil adhesion

M-ficolin specificity for sialylated ligands prompted us to investigate its interactions with the main membrane sialoprotein of human neutrophils, CD43. rM-ficolin bound CD43 and prevented the access of anti-CD43 mAb. Moreover, rM-ficolin reacted exclusively with CD43 on Western blots of neutrophil lysate. We confirmed that M-ficolin is secreted by fMLP-activated neutrophils, and this endogenous M-ficolin also binds to CD43 and competes with anti-CD43 mAb. Anti-CD43 antibody cross-linking or fMLP resulted in M-ficolin and CD43 colocalization on polarized neutrophils. The binding of rM-ficolin to resting neutrophils induced cell polarization, adhesion, and homotypic aggregation as anti-CD43 mAb. The M-ficolin Y271F mutant, unable to bind sialic acid, neither reacted with neutrophils nor modulated their functions. Finally, rM-ficolin activated the lectin complement pathway on neutrophils. These results emphasize a new function of M-ficolin, different from ficolin pathogen recognition, i.e., a participation to neutrophil adhesion potentially important in early inflammation, as nanomolar agonist concentrations are sufficient to mobilize M-ficolin to the neutrophil surface. This multivalent lectin could then endow the antiadhesive CD43, essentially designed to prevent leukocyte aggregation in the blood flow, with new adhesive properties and explain, at least in part, dual-adhesive/antiadhesive roles of CD43 in neutrophil recruitment. J. Leukoc. Biol. 91: 469-474; 2012.

GQ-16, a Novel Peroxisome Proliferator-activated Receptor gamma (PPAR gamma) Ligand, Promotes Insulin Sensitization without Weight Gain

The recent discovery that peroxisome proliferator-activated receptor gamma (PPAR gamma) targeted anti-diabetic drugs function by inhibiting Cdk5-mediated phosphorylation of the receptor has provided a new viewpoint to evaluate and perhaps develop improved insulin-sensitizing agents. Herein we report the development of a novel thiazolidinedione that retains similar anti-diabetic efficacy as rosiglitazone in mice yet does not elicit weight gain or edema, common side effects associated with full PPAR gamma activation. Further characterization of this compound shows GQ-16 to be an effective inhibitor of Cdk5-mediated phosphorylation of PPAR gamma. The structure of GQ-16 bound to PPAR gamma demonstrates that the compound utilizes a binding mode distinct from other reported PPAR gamma ligands, although it does share some structural features with other partial agonists, such as MRL-24 and PA-082, that have similarly been reported to dissociate insulin sensitization from weight gain. Hydrogen/deuterium exchange studies reveal that GQ-16 strongly stabilizes the beta-sheet region of the receptor, presumably explaining the compound's efficacy in inhibiting Cdk5-mediated phosphorylation of Ser-273. Molecular dynamics simulations suggest that the partial agonist activity of GQ-16 results from the compound's weak ability to stabilize helix 12 in its active conformation. Our results suggest that the emerging model, whereby "ideal" PPAR gamma-based therapeutics stabilize the beta-sheet/Ser-273 region and inhibit Cdk5-mediated phosphorylation while minimally invoking adipogenesis and classical agonism, is indeed a valid framework to develop improved PPAR gamma modulators that retain antidiabetic actions while minimizing untoward effects.

ON THE CONSISTENCY OF TWISTED GENERALIZED WEYL ALGEBRAS

A twisted generalized Weyl algebra A of degree n depends on a. base algebra R, n commuting automorphisms sigma(i) of R, n central elements t(i) of R and on some additional scalar parameters. In a paper by Mazorchuk and Turowska, it is claimed that certain consistency conditions for sigma(i) and t(i) are sufficient for the algebra to be nontrivial. However, in this paper we give all example which shows that this is false. We also correct the statement by finding a new set of consistency conditions and prove that the old and new conditions together are necessary and sufficient for the base algebra R to map injectively into A. In particular they are sufficient for the algebra A to be nontrivial. We speculate that these consistency relations may play a role in other areas of mathematics, analogous to the role played by the Yang-Baxter equation in the theory of integrable systems.

Mutations in CTC1, encoding conserved telomere maintenance component 1, cause Coats plus

Coats plus is a highly pleiotropic disorder particularly affecting the eye, brain, bone and gastrointestinal tract. Here, we show that Coats plus results from mutations in CTC1, encoding conserved telomere maintenance component 1, a member of the mammalian homolog of the yeast heterotrimeric CST telomeric capping complex. Consistent with the observation of shortened telomeres in an Arabidopsis CTC1 mutant and the phenotypic overlap of Coats plus with the telomeric maintenance disorders comprising dyskeratosis congenita, we observed shortened telomeres in three individuals with Coats plus and an increase in spontaneous gamma H2AX-positive cells in cell lines derived from two affected individuals. CTC1 is also a subunit of the alpha-accessory factor (AAF) complex, stimulating the activity of DNA polymerase-alpha primase, the only enzyme known to initiate DNA replication in eukaryotic cells. Thus, CTC1 may have a function in DNA metabolism that is necessary for but not specific to telomeric integrity.