Reduced Basis Approximation for Maxwell's Eigenvalue Problem and Parameter-Dependent Domains

In many high-frequency simulation workflows, eigenvalue tracking along a parameter variation is necessary. This can become computationally prohibitive when repeated time-consuming eigenvalue problems must be solved. Therefore, we employ a reduced basis approximation to bring down the computational costs. It is based on the greedy strategy from Horger et al. 2017 which considers multiple eigenvalues for elliptic eigenvalue problems. We extend this algorithm to deal with parameter-dependent domains and the Maxwell eigenvalue problem. In this setting, the reduced basis may contain spurious eigenmodes, which require special treatment. We demonstrate our algorithm in an eigenvalue tracking application for an eigenmode classification

Pain in patients with dementia: A review of pain assessment and treatment challenges

Pain represents a major treatment challenge in older people with dementia. The majority of healthy older people experience regular pain and around 50% take regular analgesics. Pain is likely to be equally prevalent in people with dementia, yet only a small minority are prescribed regular analgesics. This is a key issue since recent work has provided evidence that untreated pain may be a major contributor to reduced quality of life and increases the likelihood of emergence of behavioural and psychological symptoms such as agitation. Better assessment and treatment of pain may therefore substantially improve outcomes for people with dementia. In this context, we reviewed the literature and summarised the best available evidence regarding the frequency of pain and pain diagnosis in patients with dementia based on pain assessment and treatment recommendations for these individuals. Hardly any randomized, controlled studies of pain treatment efficacy in patients with dementia are available, with the consequence that most pain treatment recommendations are not based on the highest level of evidence

Lrp4 Regulates Initiation of Ureteric Budding and Is Crucial for Kidney Formation – A Mouse Model for Cenani-Lenz Syndrome

Background: Development of the kidney is initiated when the ureteric bud (UB) branches from the Wolffian duct and invades the overlying metanephric mesenchyme (MM) triggering the mesenchymal/epithelial interactions that are the basis of organ formation. Multiple signaling pathways must be integrated to ensure proper timing and location of the ureteric bud formation. Methods and Principal Findings: We have used gene targeting to create an Lrp4 null mouse line. The mutation results in early embryonic lethality with a subpenetrant phenotype of kidney agenesis. Ureteric budding is delayed with a failure to stimulate the metanephric mesenchyme in a timely manner, resulting in failure of cellular differentiation and resulting absence of kidney formation in the mouse as well as comparable malformations in humans with Cenani-Lenz syndrome. Conclusion: Lrp4 is a multi-functional receptor implicated in the regulation of several molecular pathways, including Wnt and Bmp signaling. Lrp4 2/2 mice show a delay in ureteric bud formation that results in unilateral or bilateral kidney agenesis. These data indicate that Lrp4 is a critical regulator of UB branching and lack of Lrp4 results in congenital kidne

Hide your pain : social threat increases pain reports and aggression, but reduces facial pain expression and empathy

Earlier research studying the effects of social threat on the experience and expression of pain led to mixed results. In this study, female participants (N = 32) came to the lab with 2 confederates. Both confederates administered a total of 10 painful electrocutaneous stimuli to the participant. The framing of the administration was manipulated in a within-subjects design: In the low social threat condition the participant was told that the confederate could choose between 10 and 20 pain stimuli, thus they believed that this confederate chose to administer the minimum allowed number of pain stimuli. In the high social threat condition the confederate had a choice between 1 and 10 stimuli, thus they believed that this confederate chose to administer the maximum allowed number of stimuli. Participants reported on the intensity, unpleasantness, and threat value of the painful stimuli, and their facial expression was recorded. Moreover, aggression and empathy toward the confederates were assessed. As hypothesized, participants reported increased pain intensity, unpleasantness, and threat in the high social threat condition compared to the low social threat condition, but showed less facial pain expression. Finally, participants exhibited increased aggression and reduced empathy toward the confederate in the high social threat condition. Perspective: Social threat reduces painful facial expression, but simultaneously increases pain reports, leading to a double burden of the person in pain. Additionally, social threat affected social relationships by increasing aggression and reducing empathy for the other

Viscous modes within the compressible boundary-layer flow due to a broad rotating cone

Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications.We investigate the effects of compressibility and wall cooling on the stationary, viscous (Type II) instability mode within the 3D boundary layer over rotating cones with half-angle greater than 40∘ 40∘ . The stationary mode is characterised by zero shear stress at the wall and a triple-deck solution is presented in the isothermal case. Asymptotic solutions are obtained which describe the structure of the wavenumber and the orientation of this mode as a function of local Mach number. It is found that a stationary mode is possible only over a finite range of local Mach number. Our conclusions are entirely consistent with the results of Seddougui 1990 , A nonlinear investigation of the stability models of instability of the trhee-dimensional Compresible boundary layer due to a rotating disc Q. J. Mech. Appl. Math. , 43, pt. 4. It is suggested that wall cooling has a significant stabilising effect, while reducing the half-angle is marginally destabilising. Solutions are presented for air

Film - Körper : Beiträge zu einer somatischen Medientheorie

Prof. Dr. Jens Schröter ist Herausgeber der Reihe und die Herausgeber der einzelnen Hefte sind renommierte Wissenschaftler und -innen aus dem In- und Ausland.Es kann als positives Zeichen für eine immer weiter marginalisiert zu werden drohende Disziplin wie die Filmwissenschaft gelten, dass mit der neuen Ausgabe der medienwissenschaftlichen Schriftenreihe Navigationen nach der Veröffentlichung von High Definition Cinema (Frühjahr 2011) nun erneut – ein Jahr später – ein Sammelband mit filmwissenschaftlichem Fokus vorliegt. Unter dem Titel Film|Körper versammelt er Bausteine zu einer Körpertheorie des Films, die zwischen poststrukturalistischer und phänomenologischer Tradition vermitteln wollen. Es handelt sich bei Film|Körper zugleich um die zweite Publikation des Forschungsprojekts Körpertheorie der Medien, geleitet von Ivo Ritzer (Universität Mainz) und Marcus Stiglegger (Universität Siegen). Eine erste Tagung fand bereits im Oktober 2010 an der Johannes Gutenberg-Universität Mainz statt und resultierte in dem Sammelband Global Bodies. Mediale Repräsentationen des Körpers (2012).