Problems in the classical calculus of variations

This dissertation concerns convergence analysis for nonparametric problems in the calculus of variations and sufficient conditions for weak local minimizer of a functional for both nonparametric and parametric problems. Newton's method in infinite-dimensional space is proved to be well-defined and converges quadratically to a weak local minimizer of a functional subject to certain boundary conditions. Sufficient conditions for global converges are proposed and a well-defined algorithm based on those conditions is presented and proved to converge. Finite element discretization is employed to achieve an implementable line-search-based quasi-Newton algorithm and a proof of convergence of the discretization of the algorithm is included. This work also proposes sufficient conditions for weak local minimizer without using the language of conjugate points. The form of new conditions is consistent with the ones in finite-dimensional case. It is believed that the new form of sufficient conditions will lead to simpler approaches to verify an extremal as local minimizer for well-known problems in calculus of variations.

Immunoglobulin M-enriched intravenous immunoglobulin inhibits classical pathway complement activation, but not bactericidal activity of human serum

Acute or even hyperacute humoral graft rejection, mediated by classical pathway complement activation, occurs in allo- and xenotransplantation due to preformed anti-graft antibodies. Intravenous immunoglobulin (IVIg) preparations can prevent complement-mediated tissue injury and delay hyperacute xenograft rejection. It is known that IgM-enriched IVIg (IVIgM) has a higher capacity to block complement than IVIgG. Different IVIgs were therefore tested for specificity of complement inhibition and effect on anti-bacterial activity of human serum. IVIgM-I (Pentaglobin), 12% IgM), IVIgM-II (IgM-fraction of IVIgM-I, 60% IgM), and three different IVIgG (all >95% IgG) were used. The known complement inhibitor dextran sulfate was used as control. Hemolytic assays were performed to analyze pathway-specificity of complement inhibition. Effects of IVIg on complement deposition on pig cells and Escherichia coli were assessed by flow cytometry and cytotoxicity as well as bactericidal assays. Complement inhibition by IVIgM was specific for the classical pathway, with IC50 values of 0.8 mg/ml for IVIgM-II and 1.7 mg/ml for IVIgM-I in the CH50 assay. Only minimal inhibition of the lectin pathway was seen with IVIgM-II (IC50 15.5 mg/ml); no alternative pathway inhibition was observed. IVIgG did not inhibit complement in any hemolytic assay. Classical pathway complement inhibition by IVIgM was confirmed in an in vitro xenotransplantation model with PK15 cells. In contrast, IVIgM did not inhibit (mainly alternative pathway mediated) killing of E. coli by human serum. In conclusion, IgM-enriched IVIg is a specific inhibitor of the classical complement pathway, leaving the alternative pathway intact, which is an important natural anti-bacterial defense, especially for immunosuppressed patients.

[Hermaphroditos in Greek mythology--DSD in moderne medicine]

We report a case of 34 year old woman how has been hospitalized at the age of 6 month with persistent vomitus. The vomitus was found to be caused by adrenal insufficiency with lack of all hormones of steroidobiosynthesis. The phenotypical femal child was diagnosed to have congenital lipoid adrenal hyperplasia with 46,XY DSD. 24 years later a homozygote mutation in the StAR-gene (L260P), which was first described in Switzerland, has been identified.

Bone-marrow derived progenitor cells are associated with psychosocial determinants of health after controlling for classical biological and behavioral cardiovascular risk factors

BACKGROUND: Circulating progenitor cells have been implicated with maintaining vascular integrity. Low counts are found in adults with high cardiovascular risk and are associated with impaired endothelial function. It remains unknown whether psychosocial risk factors are independently related to counts of circulating progenitor cells. METHODS: We investigated a random sample of 468 adult industrial employees (mean age 41.2 years, 89% men) of Caucasian origin. Cardiovascular risk factors (blood pressure, LDL, HDL and C-reactive protein), health behavior (smoking, alcohol and physical exercise), psychological variables (effort-reward imbalance social support, negative affectivity) and interaction terms served as predictors of circulating progenitor cells (CD34+ CD31dim) as enumerated by flow-cytometry. FINDINGS: Psychosocial variables were independently associated with progenitor cell counts. The association with risk factors increased with age (explained variance in 18-36 year olds R(2)=0.17, p=0.55; age 36.1-46 R(2)=0.32, p=0.001; age>46 R(2)=0.27, p<0.001). Data revealed a shift from a larger association between behavioral and psychosocial variables and cell counts to a stronger association between biological variables and cell counts in older individuals. A significant interaction was observed between smoking and effort-reward imbalance in middle-aged subjects, those with both risk factors present had lower cell counts. In older employees, the interaction between biological risk factors and smoking was related to lower cell counts. INTERPRETATION: In working middle-aged and older men, psychosocial risk factors were related to circulating counts of progenitor cells. Smoking interacted negatively with psychosocial risk factors (middle-aged men) or with biological risk factors (older employees).

From Classical Terrorism to “Global” Terrorism

This article examines the history and the development of terrorism as a research subject for social sciences. It gives an impression of how the subject’s theoretical remit has changed over the last decades—explicitly taking into account the characteristics of a modern and global world and their impact on current understandings of terrorism.