We report on calculations of smoothed spectral correlations in the twodimensional Anderson model for weak disorder. As pointed out in (M. Wilkinson, J. Phys. A: Math. Gen. 21, 1173 (1988)), an analysis of the smoothing dependence of the correlation functions provides a sensitive means of establishing consistency with random matrix theory. We use a semiclassical approach to describe these fluctuations and offer a detailed comparison between numerical and analytical calculations for an exhaustive set of two-point correlation functions. We consider parametric correlation functions with an external Aharonov-Bohm flux as a parameter and discuss two cases, namely broken time-reversal invariance and partial breaking of time-reversal invariance. Three types of correlation functions are considered: density-of-states, velocity and matrix element correlation functions. For the values of smoothing parameter close to the mean level spacing the semiclassical expressions and the numerical results agree quite well in the whole range of the magnetic flux.

A rejection algorithm, called ``transformed density rejection", is presented. It uses a new method for constructing simple hat functions for a unimodal density $f$. It is based on the idea of transforming $f$ with a suitable transformation $T$ such that $T(f(x))$ is concave. The hat function is then constructed by taking the pointwise minimum of tangents which are transformed back to the original scale. The resulting algorithm works very well for a large class of distributions and is fast. The method is also extended to the two- and multidimensional case. (author's abstract) / Series: Preprint Series / Department of Applied Statistics and Data Processing

The set R of relevant cycles of a graph G is the union of its minimum cycle bases. We introduce a partition of R such that each cycle in a class W can be expressed as a sum of other cycles in W and shorter cycles. It is shown that each minimum cycle basis contains the same number of representatives of a given class W. This result is used to derive upper and lower bounds on the number of distinct minimum cycle bases. Finally, we give a polynomial-time algorithm to compute this partition. (author's abstract) / Series: Preprint Series / Department of Applied Statistics and Data Processing

2-connected outerplanar graphs have a unique minimal cycle basis with length 2|E|-|V|. They are the only Hamiltonian graphs with a cycle basis of this length. (author's abstract) / Series: Preprint Series / Department of Applied Statistics and Data Processing

The quality of non-uniform random numbers is not only influenced by the quality of the uniform generator that is used but also by the transformation method applied to the uniform random numbers. This differences in quality between ``exact" methods were almost entirely neglected in literature. So we compare the behaviour of four different transformation methods when combined with a linear congruential uniform generator (LCG). Heuristic considerations, the computation of two measures of approximation and a statistical test show that the inversion method performs best. Among the others rejection, when combined with a LCG with small multiplier, and ratio of uniforms perform worse. Their use could slightly change the results of some simulation studies. (author's abstract) / Series: Preprint Series / Department of Applied Statistics and Data Processing

Les cellules souches mésenchymateuses (CSM) sont des cellules stromales présentes dans différents types de tissus. En plus de leur capacité à se différencier en plusieurs lignées (chondrocytes, adipocytes et ostéoblastes), les CSM présentent également des propriétés immunosuppressives. Bien que ces mécanismes soient loin d'être entièrement compris, leur capacité immunosuppressive a récemment été démontrée comme étant modulée par des miARN. L'arthrose est la forme la plus courante de maladies articulaires sans traitement curatif et se caractérise principalement par la dégradation du cartilage articulaire, avec des altérations osseuses sous-chondrales et une inflammation synoviale. Les CSM pourraient offrir un potentiel thérapeutique intéressant pour le traitement de l'arthrose.Nos travaux ont montré qu'une injection autologue de CSM d'origine adipeuse (ASC) dans une articulation arthrosique améliore la douleur et les niveaux fonctionnels chez les patients. Nous avons souligné la tolérance immunitaire systémique induite à la suite d'injections intra-articulaires d'ASC. Enfin, nous avons étudié le profil d'expression des miARN des CSM humaines lors de leur stimulation par des cellules mononuclées du sang préalablement activés. Nous avons identifié le miR-29a et le PSAT1 comme de nouveaux candidats pour réguler l'activité immunosuppressive médiée par les CSM. / Mesenchymal Stem Cells (MSCs) are stromal cells present in a number of different tissue types. In addition to their ability to differentiate into multiple lineages (chondrocytes, adipocytes and osteoblasts), MSCs also display immunosuppressive properties. Whilst these mechanisms are far from fully understood, their immunosuppressive capacity has recently been shown to be modulated by miRNAs. OA is the most common form of joint diseases without curative treatment and mainly characterized by the degradation of articular cartilage, with subchondral bone alterations and synovial inflammation. MSC might provide therapeutic potential for treatment of OA.Here, we showed that an autologous injection of adipose-derived MSC (ASC) into an osteoarthritic joint improved pain and function levels in patients. We underscored the systemic immune tolerance induced following intra-articular injections of ASCs. Finally, we investigated the miRNA expression profile of human MSCs upon their stimulation by peripheral blood mononuclear cells. We identified miR-29a and PSAT1 as new candidates to regulate immunosuppressive activity mediated by MSCs.

We examine the localization properties of the 2D Anderson Hamiltonian with off-diagonal disorder. Investigating the behavior of the participation numbers of eigenstates as well as studying their multifractal properties, we find states in the center of the band which show critical behavior up to the system size N=200x200 considered. This result is confirmed by an independent analysis of the localization lengths in quasi-1D strips with the help of the transfermatrix method. Adding a very small additional onsite potential disorder, the critical states become localized.

In Analysis and Numerik differential-algebraischer Gleichungen P. Kunkel and V. Mehrmann give a survey of relevant conditions for consistent systems, for existence and uniqueness of solutions, and touch numerical procedures for obtaining the solutions.

We study linear descriptor systems with rectangular variable coefficient matrices. Using local and global equivalence transformations we introduce normal and condensed forms and get sets of characteristic quantities. These quantities allow us to decide whether a linear descriptor system with variable coefficients is regularizable by derivative and/or proportional state feedback or not. Regularizable by feedback means for us that their exist a feedback which makes the closed loop system uniquely solvable for every consistent initial vector.

Two alternative technologies of communication inside a parallelized Conjugate-Gradient algorithm are presented and compared to the well known hypercubecommunication. The amount of communication is diskussed in detail. A large range of numerical results corroborate the theoretical investigations.