Comparative genomische Hybridisierung und Fluoreszenz in situ Hybridisierung beim multiplen Myelom

Im Rahmen dieser Arbeit wurde das Knochenmark von 57 Myelompatienten mit der comparativen genomischen Hybridisierung (CGH) und 114 bzw. 116 Patienten mit der Fluoreszenz in situ Hybridisierung (FISH) in der Region 13q14.3 bzw. 14q32.3 untersucht. Mit der CGH wurde bei 46 % der Fälle chromosomale Imbalancen festgestellt. Zugewinne zeigten sich besonders häufig für die Regionen 9p, 11 und 21q. Verluste betrafen insbesondere die Region 22q und 13q. Die FISH in 13q14.3 zeigte bei 29 % der Patienten eine Deletion in dieser Region. Die FISH im Immunglobulin-Schwerkettenlocus (IgH) ergab bei 29 % der untersuchten Patienten Veränderungen. Basierend auf den Daten der CGH-Analyse wurden Kandidatengene, die für die Tumorpathogenese relevant sein könnten, diskutiert. Die in dieser Arbeit besonders häufig amplifizierten Bereiche 9p sowie 21q wurden nach unseren Kenntnissen in den bisher publizierten CGH-Studien beim MM nicht beschrieben

Non-homogeneous random walks, subdiffusive migration of cells and anomalous chemotaxis

This paper is concerned with a non-homogeneous in space and non-local in time random walk model for anomalous subdiffusive transport of cells. Starting with a Markov model involving a structured probability density function, we derive the non-local in time master equation and fractional equation for the probability of cell position. We show the structural instability of fractional subdiffusive equation with respect to the partial variations of anomalous exponent. We find the criteria under which the anomalous aggregation of cells takes place in the semi-infinite domain.Comment: 18 pages, accepted for publicatio

Coronavirus: Scientific insights and societal aspects

In December 2019, the first case of infection with a new virus COVID-19 (SARS-CoV-2), named coronavirus, was reported in the city of Wuhan, China. At that time, almost nobody paid any attention to it. The new pathogen, however, fast proved to be extremely infectious and dangerous, resulting in about 3–5% mortality. Over the few months that followed, coronavirus has spread over entire world. At the end of March, the total number of infections is fast approaching the psychological threshold of one million, resulting so far in tens of thousands of deaths. Due to the high number of lives already lost and the virus high potential for further spread, and due to its huge overall impact on the economies and societies, it is widely admitted that coronavirus poses the biggest challenge to the humanity after the second World war. The COVID-19 epidemic is provoking numerous questions at all levels. It also shows that modern society is extremely vulnerable and unprepared to such events. A wide scientific and public discussion becomes urgent. Some possible directions of this discussion are suggested in this article

Propagation of a Solitary Fission Wave

Reaction-diffusion phenomena are encountered in an astonishing array of natural systems. Under the right conditions, self stabilizing reaction waves can arise that will propagate at constant velocity. Numerical studies have shown that fission waves of this type are also possible and that they exhibit soliton like properties. Here, we derive the conditions required for a solitary fission wave to propagate at constant velocity. The results place strict conditions on the shapes of the flux, diffusive, and reactive profiles that would be required for such a phenomenon to persist, and this condition would apply to other reaction diffusion phenomena as well. Numerical simulations are used to confirm the results and show that solitary fission waves fall into a bistable class of reaction diffusion phenomena. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4729927]United States Nuclear Regulatory Commission NRC-38-08-946Mechanical Engineerin

Development of singularities for the compressible Euler equations with external force in several dimensions

We consider solutions to the Euler equations in the whole space from a certain class, which can be characterized, in particular, by finiteness of mass, total energy and momentum. We prove that for a large class of right-hand sides, including the viscous term, such solutions, no matter how smooth initially, develop a singularity within a finite time. We find a sufficient condition for the singularity formation, "the best sufficient condition", in the sense that one can explicitly construct a global in time smooth solution for which this condition is not satisfied "arbitrary little". Also compactly supported perturbation of nontrivial constant state is considered. We generalize the known theorem by Sideris on initial data resulting in singularities. Finally, we investigate the influence of frictional damping and rotation on the singularity formation.Comment: 23 page

Flame Enhancement and Quenching in Fluid Flows

We perform direct numerical simulations (DNS) of an advected scalar field which diffuses and reacts according to a nonlinear reaction law. The objective is to study how the bulk burning rate of the reaction is affected by an imposed flow. In particular, we are interested in comparing the numerical results with recently predicted analytical upper and lower bounds. We focus on reaction enhancement and quenching phenomena for two classes of imposed model flows with different geometries: periodic shear flow and cellular flow. We are primarily interested in the fast advection regime. We find that the bulk burning rate v in a shear flow satisfies v ~ a*U+b where U is the typical flow velocity and a is a constant depending on the relationship between the oscillation length scale of the flow and laminar front thickness. For cellular flow, we obtain v ~ U^{1/4}. We also study flame extinction (quenching) for an ignition-type reaction law and compactly supported initial data for the scalar field. We find that in a shear flow the flame of the size W can be typically quenched by a flow with amplitude U ~ alpha*W. The constant alpha depends on the geometry of the flow and tends to infinity if the flow profile has a plateau larger than a critical size. In a cellular flow, we find that the advection strength required for quenching is U ~ W^4 if the cell size is smaller than a critical value.Comment: 14 pages, 20 figures, revtex4, submitted to Combustion Theory and Modellin

Dynamical extensions for shell-crossing singularities

We derive global weak solutions of Einstein's equations for spherically symmetric dust-filled space-times which admit shell-crossing singularities. In the marginally bound case, the solutions are weak solutions of a conservation law. In the non-marginally bound case, the equations are solved in a generalized sense involving metric functions of bounded variation. The solutions are not unique to the future of the shell-crossing singularity, which is replaced by a shock wave in the present treatment; the metric is bounded but not continuous.Comment: 14 pages, 1 figur

Aplicacion del silicato tricalcico como una alternativa biocompatible.

El seleccionar un adecuado material para la obturación apical es un acto fundamental para la resolución de un caso con una lesión periapical persistente; los principales factores que deberá tener este material es su biocompatibilidad y el crear un sellado hermético para evitar filtración; deberá poseer capacidad para inducir osteogénesis y reparación, no desarrollar toxicidad, ser radiopaco y bacteriostático. El Biodentine es un material recientemente introducido al mercado (2011), principalmente compuesto de silicato tricálcico. Es usado para tratamientos de reparación en corona y raíz, reparando perforaciones, resorciones, empleado para apexificaciones y como material de retroobturación; también puede ser utilizado como un sustituto de dentina en caries demasiado extensas.

Rarefactions and large time behavior for parabolic equations and monotone schemes

We consider the large time behavior of monotone semigroups associated with degenerate parabolic equations and monotone difference schemes. For an appropriate class of initial data the solution is shown to converge to rarefaction waves at a determined asymptotic rate.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46470/1/220_2005_Article_BF01229452.pd