The crystallization and crystalline properties of LARC-TPI

LARC-TPI, a thermoplastic polyimide, has been studied in order to develop an understanding of its crystalline phase transition. Our experiments suggest that samples synthesized in different laboratories apparently had different degrees of imidization and their thermal behaviors differed accordingly. When the most crystalline of these polyimides was studied in some detail, we found that it melted irreversibly in that once a sample was completely melted it would not recrystallize. A polymer that did not recrystallize displayed a glass transition, which increased in temperature upon subsequent cooling and reheating. Solubility experiments indicated that heating above the crystalline melting temperature led to network formation in the polymer, a conclusion that is consistent with other behavior just mentioned. Differential calorimetric studies revealed that annealing at slow heating rates or under isothermal conditions resulted in dual melting transitions. These studies, supported by X-ray diffraction results, strongly indicate that the annealing process involves a solid-liquid-solid transformation. From an existing phenomenological model for the kinetics of phase transitions, kinetic parameters for these crystallizations have been evaluated. The Avrami exponents n increased with the annealing temperature in the protocol used in this study. Their values were about 2 or lower, thus indicating that crystallization may have followed a mechanism that included heterogeneous nucleation of a low dimensional order in which all the embryonic crystallites formed at the beginning of the process. A positive temperature coefficient for these crystallizations indicated that diffusion may have had a rate controlling influence and affected the values of n

Optimal uncertainty quantification for legacy data observations of Lipschitz functions

We consider the problem of providing optimal uncertainty quantification (UQ) --- and hence rigorous certification --- for partially-observed functions. We present a UQ framework within which the observations may be small or large in number, and need not carry information about the probability distribution of the system in operation. The UQ objectives are posed as optimization problems, the solutions of which are optimal bounds on the quantities of interest; we consider two typical settings, namely parameter sensitivities (McDiarmid diameters) and output deviation (or failure) probabilities. The solutions of these optimization problems depend non-trivially (even non-monotonically and discontinuously) upon the specified legacy data. Furthermore, the extreme values are often determined by only a few members of the data set; in our principal physically-motivated example, the bounds are determined by just 2 out of 32 data points, and the remainder carry no information and could be neglected without changing the final answer. We propose an analogue of the simplex algorithm from linear programming that uses these observations to offer efficient and rigorous UQ for high-dimensional systems with high-cardinality legacy data. These findings suggest natural methods for selecting optimal (maximally informative) next experiments.Comment: 38 page

Futility: ein Begriff im chirurgischen Alltag?

Zusammenfassung: Ethisch anspruchsvolle Indikationsstellungen bei Patienten, die ihren Willen nicht selbst äußern können, wie beispielsweise schwer demenzkranke Patienten, konfrontieren uns häufig. Es stellt sich hierbei die Frage, ob wir mit operativen Eingriffen eine Übertherapie vollziehen. Der Begriff "futility" der Medizinethik beschreibt Übertherapie, ist allerdings für eine konkrete Anwendung problematisch, da eine exakte Definition fehlt. In der klinischen Situation von schwer demenzkranken, hochbetagten Patienten muss in chirurgischen Abteilungen eine Aufarbeitung von medizinischem Hintergrund, Lebensumständen des Patienten und belegtem oder mutmaßlichem Patientenwillen erfolgen mit dem Ziel, Indikationen individualisiert zu stellen. Nur so können diese Patienten optimal versorgt werden, eine klare Kommunikation über Behandlungsziele mit Angehörigen stattfinden sowie eine Vermeidung eines "burn out" bei den Behandelnden erreicht werden. Von großem Nutzen ist hierbei eine enge Zusammenarbeit mit Medizinethiker

Mental health-related limitations and political leadership in Germany: A multidisciplinary analysis of legal, psychiatric, and ethical frameworks.

In recent years, political events have reignited contentious debates about psychiatry and democratic governance. This discourse has largely centred around the ethics and morality of public commentary, particularly in relation to the American Psychiatric Association's Goldwater Rule. Yet, few studies have examined the practical implications of health-related limitations due to mental illness in national leadership and the constitutional and legal provisions that surround these issues, including voluntary or involuntary proceedings. Accordingly, this theoretical paper analyses these topics in a German context using the position at the head of the executive: the chancellorship. Germany was selected as a case example as the biggest democracy in Europe with modern legal frameworks representative of the post-World War Two era in European constitutionalism, and for its economic and political influence within the European Union. Throughout this paper, we do not speculate on the mental health of any individual (past or present), but instead explore jurisdictional mechanisms around health-related limitations in German high office. Consequently, we outline relevant constitutional and legal scenarios, and how short- or long-term medical incapacity may determine requisite responses and contingent complexities. This underpins our discussion, where we consider legal ambiguities, functional capacity, and ethical concerns in psychiatric practice

The role of relatives in decisions concerning life-prolonging treatment in patients with end-stage malignant disorders: informants, advocates or surrogate decision-makers?

Background: This study examines the extent to which relatives of severely ill cancer patients are involved in the decision to limit treatment (DLT), their role in communicating patient wishes and the incidence of and reasons for disagreement with relatives. Patients and methods: This cohort study followed 70 patients with terminal cancer, for whom a limitation of life-prolonging treatment was being considered. ‘Embedded researchers' recorded patients' wishes and the relatives' roles and disagreements with DLT. Results: Although 63 out of 70 patients had relatives present during their care, only 32% of relatives were involved in DLT. Physicians were more likely to know the end-of-life (EOL) preferences for those patients who had visiting relatives than those without them (78% versus 29%, P = 0.014). Most relatives supported patients in voicing their preferences (68%), but one-third acted against the known or presumed wishes of patients (32%). Disagreements with patients' relatives occurred in 21% of cases, and predominantly when relatives held views that contradicted known patient preferences (71% versus 7%, P = 0.001). Conclusion: If relatives are to play an important part in EOL decision making, we must devise strategies to recognise their potential as patients' advocates as well as their own need

Predictability of large future changes in a competitive evolving population

The dynamical evolution of many economic, sociological, biological and physical systems tends to be dominated by a relatively small number of unexpected, large changes (`extreme events'). We study the large, internal changes produced in a generic multi-agent population competing for a limited resource, and find that the level of predictability actually increases prior to a large change. These large changes hence arise as a predictable consequence of information encoded in the system's global state.Comment: 10 pages, 3 figure

Continuum Surface Energy from a Lattice Model

We investigate connections between the continuum and atomistic descriptions of deformable crystals, using certain interesting results from number theory. The energy of a deformed crystal is calculated in the context of a lattice model with general binary interactions in two dimensions. A new bond counting approach is used, which reduces the problem to the lattice point problem of number theory. The main contribution is an explicit formula for the surface energy density as a function of the deformation gradient and boundary normal. The result is valid for a large class of domains, including faceted (polygonal) shapes and regions with piecewise smooth boundaries.Comment: V. 1: 10 pages, no fig's. V 2: 23 pages, no figures. Misprints corrected. Section 3 added, (new results). Intro expanded, refs added.V 3: 26 pages. Abstract changed. Section 2 split into 2. Section (4) added material. V 4, 28 pages, Intro rewritten. Changes in Sec.5 (presentation only). Refs added.V 5,intro changed V.6 address reviewer's comment

A single dose of the Biontech/Pfizer BNT162b2 vaccine protected elderly residents from severe COVID‐19 during a SARS‐coronavirus‐2 outbreak in a senior citizen home in Germany

Background: A total of 62/66 (93.9%) residents in a senior citizen home in Bremen, Germany, received the first dose of the Biontech/Pfizer vaccine BNT162b2 on December 27th 2020. After routine severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) antigen tests showed positive results on January 5th, all residents and staff were tested by RT-PCR. Results: Nine staff members and 23 residents had a positive result. PCR positive staff members reported mild to severe COVID-19 symptoms, one was hospitalized. None of them had been vaccinated. In contrast, the vaccinated residents reported no or only mild symptoms. Sequencing of the SARS-CoV-2 genomes of infected individuals revealed a monophyletic origin of the outbreak within the PANGO lineage B.1.177.86. Conclusions: In summary, our data show that partial vaccination prevented severe COVID-19 among the residents during this local SARS-CoV-2 outbreak, suggesting a high effectiveness of even a single vaccine dose, but also emphasize that asymptomatic individuals might still be carriers/spreaders