Delay-induced multistability near a global bifurcation

We study the effect of a time-delayed feedback within a generic model for a saddle-node bifurcation on a limit cycle. Without delay the only attractor below this global bifurcation is a stable node. Delay renders the phase space infinite-dimensional and creates multistability of periodic orbits and the fixed point. Homoclinic bifurcations, period-doubling and saddle-node bifurcations of limit cycles are found in accordance with Shilnikov's theorems.Comment: Int. J. Bif. Chaos (2007), in prin

Normalized power priors always discount historical data

Power priors are used for incorporating historical data in Bayesian analyses by taking the likelihood of the historical data raised to the power α as the prior distribution for the model parameters. The power parameter α is typically unknown and assigned a prior distribution, most commonly a beta distribution. Here, we give a novel theoretical result on the resulting marginal posterior distribution of α in case of the normal and binomial model. Counterintuitively, when the current data perfectly mirror the historical data and the sample sizes from both data sets become arbitrarily large, the marginal posterior of α does not converge to a point mass at α=1 but approaches a distribution that hardly differs from the prior. The result implies that a complete pooling of historical and current data is impossible if a power prior with beta prior for α is used

Turning product design into public service

Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2010.Statement of responsibility on t.p. reads: Laura E. Aust, Zachary W. Rose, Ariadne G. Smith, Amrita Saigal. Each student submitted a title page and vita. Cataloged from PDF version of thesis.Includes bibliographical references (p. 87-89 ([i.e. p. [99]-[101])).Every mechanical engineering student at MIT takes the same courses: 2.009 being one of them. In our capstone product design course at MIT, most students glean an incredible amount from their teams, mentors, and projects, then focus their efforts on slightly more pressing issues, such as graduating and finding jobs and grad school. But what if the project you found was bigger than just a course, and had the potential of improving the lives of those less fortunate than you? The Komera project creates affordable sanitary protection for women in developing countries from the locally available and all-natural fiber from banana plants. In doing so, the initiative not only empowers girls by allowing them to attend school during their periods, but also creates employment and income within their communities. Our first initial iterations of the machine to fabricate pads were created in 2.009. Previous mechanical solutions to this problem are inefficient and labor-intensive. With our prototype, we seek to reduce the labor involved and increase pad output by twofold. However, we didn't want out work to stop there. Over the course of the semester, we continued to expand the Komera project twofold: by working on the mechanical design of the product and by expanding our scope to transform the product into a public service initiative. This thesis discusses the trials and tribulations of both directions. We explore the differences and challenges in designing for the developing world within a 1 st-world product design context - paying attention to manufacturing, materials, cost, and usability. We also offer a guide through the creation of an initiative: how we took a product and turned it into an IDEAS-winning public service project. It has been an incredibly rewarding experience for us, and we hope that we can inspire others to work on international development products as well.by Laura E. Aust ... [et al.].S.B

Assessing and monitoring student progress in e-learning environments

E-learning has emerged as a form of pedagogy and as a delivery system with broad implications for meeting personnel needs nationally in special education. At present, it is important to make investments in research and development to ensure that this new pedagogy becomes fully developed and is appropriately applied. Assessment and monitoring of student progress in e-learning environments is an important element of this new form of pedagogy that requires research attention to maximize the effectiveness of e-learning when applied to teacher education. The authors draw upon their personal online teaching experience in addressing strategies for assessing student performance and using electronic portfolios in e-learning environments, both presented as integral aspects of e-learning instructional process. Perspectives from the literature and lessons learned from the authors’ own experience are shared.peerreviewe

The magnetic interactions in spin-glasslike Ge/1-x-y/Sn/x/Mn/y/Te diluted magnetic semiconductor

We investigated the nature of the magnetic phase transition in the Ge/1-x-y/Sn/x/Mn/y/Te mixed crystals with chemical composition changing in the range of 0.083 < x < 0.142 and 0.012 < y < 0.119. The DC magnetization measurements performed in the magnetic field up to 90 kOe and temperature range 2-200 K showed that the magnetic ordering at temperatures below T = 50 K exhibits features characteristic for both spin-glass and ferromagnetic phases. The modified Sherrington - Southern model was applied to explain the observed transition temperatures. The calculations showed that the spin-glass state is preferred in the range of the experimental carrier concentrations and Mn content. The value of the Mn hole exchange integral was estimated to be J/pd/ = 0.45+/-0.05 eV. The experimental magnetization vs temperature curves were reproduced satisfactory using the non-interacting spin-wave theory with the exchange constant J/pd/ values consistent with those calculated using modified Sherrington - Southern model. The magnetization vs magnetic field curves showed nonsaturating behavior at magnetic fields B < 90 kOe indicating the presence of strong magnetic frustration in the system. The experimental results were reproduced theoretically with good accuracy using the molecular field approximation-based model of a disordered ferromagnet with long-range RKKY interaction.Comment: 9 pages, 6 figure

Serratierte Läsionen im Kolorektum – ein pathologisches Problem oder ein Problem der Pathologen?

Serratierte Läsionen im Kolorektum stellen eine Problemzone für Kliniker und Pathologen dar; dies liegt zum einen an der noch nicht allgemein bekannten Nomenklatur, zum anderen an dem noch nicht abschließend geklärten Progressionsrisiko der verschiedenen serratierten Polypen. Mittlerweile gilt als akzeptiert, dass neben der klassischen Adenom-Karzinom-Sequenz ein alternativer serratierter und ein sogenannter gemischter Karzinogeneseweg existiert; diese Karzinogenesewege sind in Bezug auf die präinvasiven Vorstufen, die molekularen Pfade und die Prognose der Karzinome heterogen. Bei den serratierten Adenokarzinomen lassen sich ein Niedrigrisiko-Subtyp (Häufigkeit 70%) sowie ein Hochrisiko-Subtyp (Häufigkeit >80%, mit meist distaler Lokalisation, dem traditionellen serratierten Adenom als Vorläuferläsion, KRAS-Mutation, niedriger Mikrosatelliteninstabilität/mikrosatellitenstabil, CpG-Methylierung/ p53-Akkumulation und einer 5-Jahres-Überlebens-Rate von 70%) and a high-risk subtype (frequency >80%, often with distal location, the traditional serrated adenoma as a precursor lesion, KRAS mutation, low microsatellite instability/microsatellite stable, CpG methylation/ p53 accumulation and a 5-year survival rate of <30%). The evaluation of the microsatellite status as well as the detection of BRAF or KRAS mutations together with immunohistochemistry for hMLH1 and p53 will allow a discrimination between these two subtypes and will become increasingly important in the future.Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich

Monarch Butterfly (Danaus Plexippus) Life-Stage Risks from Foliar and Seed-Treatment Insecticides

Conservation of North America\u27s eastern monarch butterfly (Danaus plexippus) population would require establishment of milkweed (Asclepias spp.) and nectar plants in the agricultural landscapes of the north central United States. A variety of seed-treatment and foliar insecticides are used to manage early- and late-season pests in these landscapes. Thus, there is a need to assess risks of these insecticides to monarch butterfly life stages to inform habitat conservation practices. Chronic and acute dietary toxicity studies were undertaken with larvae and adults, and acute topical bioassays were conducted with eggs, pupae, and adults using 6 representative insecticides: beta-cyfluthrin (pyrethroid), chlorantraniliprole (anthranilic diamide), chlorpyrifos (organophosphate), imidacloprid, clothianidin, and thiamethoxam (neonicotinoids). Chronic dietary median lethal concentration values for monarch larvae ranged from 1.6 x 10-3 (chlorantraniliprole) to 5.3 (chlorpyrifos) μg/g milkweed leaf, with the neonicotinoids producing high rates of arrested pupal ecdysis. Chlorantraniliprole and beta-cyfluthrin were generally the most toxic insecticides to all life stages, and thiamethoxam and chlorpyrifos were generally the least toxic. The toxicity results were compared to insecticide exposure estimates derived from a spray drift model and/or milkweed residue data reported in the literature. Aerial applications of foliar insecticides are expected to cause high downwind mortality in larvae and eggs, with lower mortality predicted for adults and pupae. Neonicotinoid seed treatments are expected to cause little to no downslope mortality and/or sublethal effects in larvae and adults. Given the vagile behavior of nonmigratory monarchs, considering these results within a landscape-scale context suggests that adult recruitment will not be negatively impacted if new habitat is established in close proximity of maize and soybean fields in the agricultural landscapes of the north central United States