Analysis and numerical solution of the Peterlin viscoelastic model

Liquids and gasses form a vital part of nature. Many of these are complex fluids with non-Newtonian behaviour. We introduce a mathematical model describing the unsteady motion of an incompressible polymeric fluid. Each polymer molecule is treated as two beads connected by a spring. For the nonlinear spring force it is not possible to obtain a closed system of equations, unless we approximate the force law. The Peterlin approximation replaces the length of the spring by the length of the average spring. Consequently, the macroscopic dumbbell-based model for dilute polymer solutions is obtained. The model consists of the conservation of mass and momentum and time evolution of the symmetric positive definite conformation tensor, where the diffusive effects are taken into account. In two space dimensions we prove global in time existence of weak solutions. Assuming more regular data we show higher regularity and consequently uniqueness of the weak solution. For the Oseen-type Peterlin model we propose a linear pressure-stabilized characteristics finite element scheme. We derive the corresponding error estimates and we prove, for linear finite elements, the optimal first order accuracy. Theoretical error of the pressure-stabilized characteristic finite element scheme is confirmed by a series of numerical experiments.

Sulla decomposizione di misure

Questa tesi illustra il teorema di decomposizione delle misure e come questo viene applicato alle trasformazioni che conservano la misura. Dopo aver dato le definizioni di σ-algebra e di misura ed aver enunciato alcuni teoremi di teoria della misura, si introducono due differenti concetti di separabilità: quello di separabilità stretta e quello di separabilità, collegati mediante un lemma. Si descrivono poi la funzione di densità relativa e le relative proprietà e, dopo aver definito il concetto di somma diretta di spazi di misura, si dimostra il teorema di decomposizione delle misure, che permette sotto certe ipotesi di esprimere uno spazio di misura come somma diretta di spazi di misura. Infine, dopo aver spiegato cosa significa che una trasformazione conserva la misura e che è ergodica, si dimostra il teorema di Von Neumann, per il quale le trasformazioni che conservano la misura risultano decomponibili in parti ergodiche.

Coordinate isoterme

Questa tesi si propone di verificare l'esistenza di coordinate isoterme su una superficie. Le coordinate isoterme danno localmente una mappa conforme da una varietà riemanniana bidimensionale al piano Euclideo. Se la superficie è orientabile, allora si può dare un atlante di carte isoterme, cioè le cui coordinate associate siano isoterme. Queste coordinate esistono a patto che vengano soddisfatte certe condizioni. Il risultato nelle classi di Holder è dovuto a Korn e Lichtensten. Chern ha notevolmente semplificato la loro dimostrazione.

Nuclear cysteine cathepsin variants in thyroid carcinoma cells

The cysteine peptidase cathepsin B is important in thyroid physiology by being involved in thyroid prohormone processing initiated in the follicular lumen and completed in endo-lysosomal compartments. However, cathepsin B has also been localized to the extrafollicular space and is therefore suggested to promote invasiveness and metastasis in thyroid carcinomas through, e.g., ECM degradation. In this study, immunofluorescence and biochemical data from subcellular fractionation revealed that cathepsin B, in its single- and two-chain forms, is localized to endo-lysosomes in the papillary thyroid carcinoma cell line KTC-1 and in the anaplastic thyroid carcinoma cell lines HTh7 and HTh74. This distribution is not affected by thyroid stimulating hormone (TSH) incubation of HTh74, the only cell line that expresses a functional TSH-receptor. Immunofluorescence data disclosed an additional nuclear localization of cathepsin B immunoreactivity. This was supported by biochemical data showing a proteolytically active variant slightly smaller than the cathepsin B proform in nuclear fractions. We also demonstrate that immunoreactions specific for cathepsin V, but not cathepsin L, are localized to the nucleus in HTh74 in peri-nucleolar patterns. As deduced from co-localization studies and in vitro degradation assays, we suggest that nuclear variants of cathepsins are involved in the development of thyroid malignancies through modification of DNA-associated proteins.

Córdoban Discourses: A Drama of Interreligious Dialogue

SETTING: Cordoba, Spain, 1135 CE, 29th year of the reign of ‘Ali “amir al-muslimin,” second king of the Berber Almoravid dynasty, rulers of Moorish Spain from 1071 to 1147. Cordoba, the capital of Andalus and the center of the Almoravid holdings in Spain, is a bustling cosmopolitan center, a crossroads for Europe and the Middle East, and the meeting-point of three religious traditions. Most significantly, Cordoba at this time is the hub of European intellectual activity. From the square—itself impressively large and surrounded by a massive collonade, the regularity and ordered beauty of which typifies the Moorish taste for symmetry (so beloved of M.C. Escher)—can be seen the huge Cordoban mosque, erected in the 8th-century by Khalif Abd-er-Rahman I to the glory of Allah, oft forgiving, most merciful. It is the second largest building in Islam, and the bastion of the still entrenched but soon to fade Muslim presence in western Europe. SCENE: Three figures sit upon stone benches beneath the westernmost colonnade of the Cordoban mosque, involved in an animated, though friendly discussion on matters of faith and reason, knowledge and God, language and logic. The host is none other than Jehudah Halevi, and his esteemed guests Master Peter Abelard and the venerable Råmånuja, whose obviously advanced age belies his youthful voice, gleaming eye, quick hands, and general exuberance. It is autumn, early evening…

Kernel Estimation of Rate Function for Recurrent Event Data

Recurrent event data are largely characterized by the rate function but smoothing techniques for estimating the rate function have never been rigorously developed or studied in statistical literature. This paper considers the moment and least squares methods for estimating the rate function from recurrent event data. With an independent censoring assumption on the recurrent event process, we study statistical properties of the proposed estimators and propose bootstrap procedures for the bandwidth selection and for the approximation of confidence intervals in the estimation of the occurrence rate function. It is identified that the moment method without resmoothing via a smaller bandwidth will produce curve with nicks occurring at the censoring times, whereas there is no such problem with the least squares method. Furthermore, the asymptotic variance of the least squares estimator is shown to be smaller under regularity conditions. However, in the implementation of the bootstrap procedures, the moment method is computationally more efficient than the least squares method because the former approach uses condensed bootstrap data. The performance of the proposed procedures is studied through Monte Carlo simulations and an epidemiological example on intravenous drug users.

New technology enables high precision multislit collimators for microbeam radiation therapy

During the past decade microbeam radiation therapy has evolved from preclinical studies to a stage in which clinical trials can be planned, using spatially fractionated, highly collimated and high intensity beams like those generated at the x-ray ID17 beamline of the European Synchrotron Radiation Facility. The production of such microbeams typically between 25 and 100 microm full width at half maximum (FWHM) values and 100-400 microm center-to-center (c-t-c) spacings requires a multislit collimator either with fixed or adjustable microbeam width. The mechanical regularity of such devices is the most important property required to produce an array of identical microbeams. That ensures treatment reproducibility and reliable use of Monte Carlo-based treatment planning systems. New high precision wire cutting techniques allow the fabrication of these collimators made of tungsten carbide. We present a variable slit width collimator as well as a single slit device with a fixed setting of 50 microm FWHM and 400 microm c-t-c, both able to cover irradiation fields of 50 mm width, deemed to meet clinical requirements. Important improvements have reduced the standard deviation of 5.5 microm to less than 1 microm for a nominal FWHM value of 25 microm. The specifications of both devices, the methods used to measure these characteristics, and the results are presented.

Learning for sustainability - LforS: Simulation games - a creative tool for interactive learning

Description of simulation and training games as tool for awareness and capacity development in multi steakeholder processes

Self-help extension: Farmer-to-farmer extension

As staff and mobility cost have the lion share of the costs of extension work, there have been many alternatives to assign farmers the job of facilitators, trainers and advisors. The arguments behind are that they are geopraphically closer to the clients, but also mentally and culturally, because they are members of the client group themselves, speak their language and share their experience and daily life. The article starts with the origins of the larger movement in Latin-America, and then discusses potentials and limitations, and finally experience from elsewhere.

Learning for Sustainability - LforS: Training modules and workshop guidelines

Description of LforS training modules and guidelines for moderators.

Learning for Sustainability - LforS: Stakeholder dialogue

Description of the role fo stakeholder dialogue in rural extension and development. Tools and methods for stakeholder dialogues.

Learning for Sustainability - LforS: An extension approach in small scale farming

Description of LforS as a integrativ and learning oriented extension approach

Promoting local innovation - a tool for sustainable rural development

Change, be it socio-cultural, political, institutional, technological, economic or ecological motivates local communities and farming families to mobilise and increase their innovation potential in order to create ways of life and production that match their own visions and priorities. In spite of the growing recognition of the potential of local innovations, they are hardly being integrated into development plans and projects; as a consequence, their diffusion within and between communities is limited. therefore interactive and participatory methods for supporting and strengthening the innovative potential of local actors are valuable inputs for sustainable rural development. the article presents an approach to promote local innovations.