Brackets, Sigma Models and Integrability of Generalized Complex Structures

It is shown how derived brackets naturally arise in sigma-models via Poisson- or antibracket, generalizing a recent observation by Alekseev and Strobl. On the way to a precise formulation of this relation, an explicit coordinate expression for the derived bracket is obtained. The generalized Nijenhuis tensor of generalized complex geometry is shown to coincide up to a de-Rham closed term with the derived bracket of the structure with itself, and a new coordinate expression for this tensor is presented. The insight is applied to two known two-dimensional sigma models in a background with generalized complex structure. Introductions to geometric brackets on the one hand and to generalized complex geometry on the other hand are given in the appendix.Comment: 48 pages (27 without appendix), created with LyX, based on LaTeX, including hyperrefs. Typos in (2.162)-(2.167) and in (3.15) fixed. Content agrees with JHEP-Version. Page numbers and equation numbers agree with old version but not with JHEP version

1 Biomechanical Simulation of the Fetal descent without Imposed Theoretical Trajectory

Abstract—The medical training concerning childbirth for young obstetricians involves performing real deliveries, under supervision. This medical procedure becomes more complicated when instrumented deliveries requiring the use of forceps or suction cups become necessary. For this reason, the use of a versatile, configurable childbirth simulator, taking into account different anatomical and pathological cases, would provide an important benefit in the training of obstetricians, and improve medical procedures. The production of this type of simulator should be generally based on a computerized birth simulation, enabling the computation of the reproductive organs of the parturient woman and fetal interactions as well as the calculation of efforts produced during the second stage of labor. However, apart from the commercially available robotized dummy simulators, very few virtual training tools using computationa

Truncated N-glycans affect protein folding in the ER of CHO-derived mutant cell lines without preventing calnexin binding

The involvement of N-glycans in the folding of influenza virus hemagglutinin (HA) was analyzed in two CHO-derived glycosylation mutants exhibiting a thermosensitive defect for secretion of human placental alkaline phosphatase. Truncated Man5GlcNAc2 oligosaccharides with one or three glucose residues are attached to proteins of the MadIA214 and B3F7AP2-1 mutant cells, respectively. Newly synthesized proteins retained in these cells carry a Man4 trimmed glycan generated by a mannosidase different from the ER mannosidases I and II and suggesting a recycling through the Golgi complex. The glucosidase inhibitor castanospermine affects the binding of HA folding intermediates to the lectin-like chaperone calnexin in B3F7AP2-1 but not in MadIA214 cells. We demonstrated that calnexin interacts in vivo with truncated Man5 derivatives. In MadIA214 cells, this is only possible when Man5GlcNAc2 on protein becomes reglucosylated. The pattern of intermediates seen during the folding of HA in the MadIA214 and B3F7AP2-1 mutant cell lines is different than in control cells. We also observed a variable occupancy of the seven glycosylation-sites. However, even under conditions that restore glycosylation of all sites, the folding intermediates of HA in the mutant cells still remain heterogeneous. Our results demonstrate that addition of truncated N-glycans interferes extensively with the folding of newly synthesized proteins in vivo