Modelling Mathematical Reasoning in Physics Education

Many findings from research as well as reports from teachers describe students' problem solving strategies as manipulation of formulas by rote. The resulting dissatisfaction with quantitative physical textbook problems seems to influence the attitude towards the role of mathematics in physics education in general. Mathematics is often seen as a tool for calculation which hinders a conceptual understanding of physical principles. However, the role of mathematics cannot be reduced to this technical aspect. Hence, instead of putting mathematics away we delve into the nature of physical science to reveal the strong conceptual relationship between mathematics and physics. Moreover, we suggest that, for both prospective teaching and further research, a focus on deeply exploring such interdependency can significantly improve the understanding of physics. To provide a suitable basis, we develop a new model which can be used for analysing different levels of mathematical reasoning within physics. It is also a guideline for shifting the attention from technical to structural mathematical skills while teaching physics. We demonstrate its applicability for analysing physical-mathematical reasoning processes with an example.

Estresse oxidativo no plasma sanguíneo de indivíduos submetidos ao esforço físico agudo seguido de crioimersão corporal

O objetivo deste estudo foi analisar a influência da crioimersão corporal (CIC) imediata ao esforço físico agudo no estresse oxidativo (EOx) no plasma sanguíneo. Participaram do presente estudo 12 homens, com idade média de 22±1 anos, submetidos ao teste de esforço físico intenso em esteira, seguido de CIC em um tanque com água a 10ºC durante 10 minutos contínuos. Do repouso ao final da CIC, os indivíduos foram monitorados através de alguns parâmetros como: o índice de percepção subjetiva do esforço (IPE) expresso conforme escala de Borg, frequência cardíaca (FC), pressão arterial (PA) e temperatura corporal (TC) através da temperatura timpânica. A análise morfológica do EOx plasmático foi realizada de acordo com o método denominado Morfologia Óptica do Estresse Oxidativo no Plasma (MEOP), utilizando-se gotas de sangue capilar. Observou-se uma significativa elevação (p<0,01) no grau do estresse oxidativo plasmático após a realização do esforço físico, em relação ao respectivo grau em repouso. Porém, esta elevação no grau do EOx foi significativamente reduzida (p<0,001) em função da CIC. Embora sejam necessários mais estudos científicos com o MEOP, concluiu-se que, para o presente estudo, este teste mostrou-se viável. Os dados encontrados no presente estudo sugerem que a CIC em água a 10ºC por 10 minutos imediatos ao esforço físico agudo com intensidade alta, apresenta-se como uma importante conduta fisioterapêutica para a normalização do EOx pós-esforço.

Women writing Ireland, 1798 – 1921: il popular novel tra identità nazionale e immaginario religioso nelle autrici cattoliche e protestanti.

La presente tesi si concentra sul romanzo popolare irlandese scritto da donne, nel periodo compreso tra il 1798 e il 1921. Quattro sono le autrici prese in considerazione: Charlotte Elizabeth Tonna, Sydney Owenson (meglio conosciuta come Lady Morgan), Edith Somerville e Katharine Tynan, le cui vite e opere coprono un periodo storico fondamentale per l’uscita dell’Irlanda dal dominio coloniale britannico e la formazione della nazione irlandese nel sud del paese. L’interesse principale è quello di analizzare il modo in cui nei loro testi prende forma la nazione, e in particolare attraverso quali immagini e riferimenti religiosi. Il senso è quello, dunque, di rileggere tali testi prestando maggiore attenzione alla religione, uno dei principali collanti tra autrici e pubblico: all’epoca in cui l’Irlanda stava acquisendo i confini che oggi ancora mantiene, esisteva un terreno d’incontro tra discorso politico e letterario, quello della nazione, e tale terreno veniva attraversato anche dal messaggio religioso. Il fine ultimo è quello di dimostrare che la letteratura popolare non è “seconda” ad altre quanto a valori che è in grado di trasmettere e a messaggi che è in grado di veicolare: trascurarla significa non capire i meccanismi attraverso i quali una società si sviluppa e si modifica.

High-dose melphalan with or without stem cell support before myeloablative allo-SCT for remission induction in patients with advanced relapsed or refractory AML

Treatment strategies for relapsed/refractory AML are limited and disappointing. Recently, high-dose melphalan (HDM) chemotherapy and autologous hematopoietic SCT (HSCT) has been proposed for AML re-induction. We investigated the impact of HDM remission induction in highly advanced relapsed/refractory AML patients planned for allogeneic HSCT. A total of 23 patients with relapsed/refractory AML were prospectively scheduled for HDM with or without stem cell support followed by myeloablative allogeneic HSCT. Patients included nine individuals with a history of previous HSCT (seven allogeneic, two autologous). A total of 18 patients (78%) achieved a leukemia-free state and an additional four had substantial reduction of the initial leukemia burden warranting treatment continuation. There were no differences between patients with or without immediate stem cell support regarding mucositis or other organ toxicity. A total of 20 patients proceeded to myeloablative allogeneic HSCT. Outcome of allogeneic HSCT was poor: 11 patients (55%) relapsed, 7 patients (35%) died from TRM and only 2 patients (10%) were alive at the last follow-up. Our study shows that HDM is effective in inducing a leukemia-free state in patients with highly advanced relapsed/refractory AML. Leukemia burden reduction with HDM, however, did not translate into improved OS.

Diffusion tensor imaging in episodic cluster headache

Cluster headache (CH) is a rare headache disorder with severe unilateral headache bouts and autonomic symptoms. The pathophysiology of CH is not completely understood. Using a voxel-based morphometric paradigm or functional imaging, a key role of the hypothalamus and the pain matrix could be demonstrated during CH episodes. However, there are no diffusion tensor imaging (DTI) data investigating the white matter microstructure of the brain in patients with CH. Therefore, we used DTI to delineate microstructural changes in patients with CH in a headache-free state.

Neurogranin controls the spatiotemporal pattern of postsynaptic Ca2+/CaM signaling.

Neurogranin (Ng) is a postsynaptic IQ-motif containing protein that accelerates Ca(2+) dissociation from calmodulin (CaM), a key regulator of long-term potentiation and long-term depression in CA1 pyramidal neurons. The exact physiological role of Ng, however, remains controversial. Two genetic knockout studies of Ng showed opposite outcomes in terms of the induction of synaptic plasticity. To understand its function, we test the hypothesis that Ng could regulate the spatial range of action of Ca(2+)/CaM based on its ability to accelerate the dissociation of Ca(2+) from CaM. Using a mathematical model constructed on the known biochemistry of Ng, we calculate the cycle time that CaM molecules alternate between the fully Ca(2+) saturated state and the Ca(2+) unbound state. We then use these results and include diffusion of CaM to illustrate the impact that Ng has on modulating the spatial profile of Ca(2+)-saturated CaM within a model spine compartment. Finally, the first-passage time of CaM to transition from the Ca(2+)-free state to the Ca(2+)-saturated state was calculated with or without Ng present. These analyses suggest that Ng regulates the encounter rate between Ca(2+) saturated CaM and its downstream targets during postsynaptic Ca(2+) transients.

Distribution of polycyclic aromatic hydrocarbons in eolian and eolian-deluvial sediments from the North Iceland

This work considers results of a study of Holocene cover sediments in Iceland. They are largely composed of wind-transported palagonitized hyaloclastite particles and coeval horizons of acid and basic tephras. It is established that polyciclic aromatic hydrocarbons (PAH) are released from basaltic glass in natural environments only in case of intense physicochemical alteration and destruction of its structure. This process does not influence PAH composition and their quantitative proportions. No new PAH formed during several thousands of years in Holocene section. Hydrocarbons are transferred from fixed state in basaltic glass into free state in palagonites practically without any changes. PAH were mainly redeposited by winds, derived together with palagonite from weathered hyaloclastites, and precipitated from atmosphere with tephra during eruptions.

Amino acid in Deep Sea Drilling Project cores

Several amino acid diagenetic reactions, which take place in the deep-sea sedimentary environment, were investigated, using various Deep Sea Drilling Project (DSDP) cores. Initially it was found that essentially all the amino acids in sediments are bound in peptide linkages; but, with increasing age, the peptide bonds undergo slow hydrolysis that results in an increasingly larger fraction of amino acids in the free state. The hydrolysis half-life in calcareous sediments was estimated to be ~1-2 million years, while in non-carbonate sediment the hydrolysis rate may be considerably slower. The amino acid compositions and the extent of racemization of several amino acids were determined in various fractions isolated from the sediments. These analyses demonstrated that the mechanism, kinetics, and rate of amino acid diagenesis are highly dependent upon the physical state (i.e., free, bound, etc.) in which the amino acids exist in the sedimentary environment. In the free state, serine and threonine were found to decompose primarily by a dehydration reaction, while in the bound state (residue or HCl-insoluble fraction) a reversible aldol-cleavage reaction is the main decomposition pathway of these amino acids. The change in amino acid composition of the residue fraction with time was suggested to be due to the hydrolysis of peptide bonds, while in foraminiferal tests the compositional changes over geological time are the result of various decomposition reactions. Reversible first-order racemization kinetics are not observed for free amino acids in sediments. The explanation for these anomalous kinetics involves a complex reaction series which includes the hydrolysis of peptide bonds and the very rapid racemization of free amino acids. The racemization rates of free amino acids in sediments were found to be many orders of magnitude faster than those predicted from elevated temperature experiments using free amino acids in aqueous solution. The racemization rate enhancement of free amino acids in sediments may be due to the catalysis of the reaction by trace metals. Reversible first-order kinetics are followed for amino acids in the residue fraction isolated from sediments; the rate of racemization in this fraction is slower than that predicted for protein-bound amino acids. Various applications of amino acid diagenetic reactions are discussed. Racemization and the decomposition reaction of serine and threonine can both be used, with certain limitations, to make rough age estimates of deep-sea sediments back to several million years. The extent of racemization in foraminiferal tests which have been dated by some other independent technique can be used to estimate geothermal gradients, and thus heat flows, and to evaluate the bottom water temperature history in certain oceanic areas.

Estudio de la rotura en barras de acero : aspectos experimentales y numéricos

El acero es, junto con el hormigón, el material más ampliamente empleado en la construcción de obra civil y de edificación. Además de su elevada resistencia, su carácter dúctil resulta un aspecto de particular interés desde el punto de vista de la seguridad estructural, ya que permite redistribuir esfuerzos a elementos adyacentes y, por tanto, almacenar una mayor energía antes del colapso final de la estructura. No obstante, a pesar de su extendida utilización, todavía existen aspectos relacionados con su comportamiento en rotura que necesitan una mayor clarificación y que permitirían un mejor aprovechamiento de sus propiedades. Cuando un elemento de acero es ensayado a tracción y alcanza la carga máxima, sufre la aparición de un cuello de estricción que plantea dificultades para conocer el comportamiento del material desde dicho instante hasta la rotura. La norma ISO 6892-1, que define el método a emplear en un ensayo de tracción con materiales metálicos, establece procedimientos para determinar los parámetros relacionados con este tramo último de la curva F − E. No obstante, la definición de dichos parámetros resulta controvertida, ya que éstos presentan una baja reproducibilidad y una baja repetibilidad que resultan difíciles de explicar. En esta Tesis se busca profundizar en el conocimiento del último tramo de la curva F − E de los aceros de construcción. Para ello se ha realizado una amplia campaña experimental sobre dos aceros representativos en el campo de la construcción civil: el alambrón de partida empleado en la fabricación de alambres de pretensado y un acero empleado como refuerzo en hormigón armado. Los dos materiales analizados presentan formas de rotura diferentes: mientras el primero de ellos presenta una superficie de rotura plana con una región oscura claramente apreciable en su interior, el segundo rompe según la clásica superficie en forma de copa y cono. La rotura en forma de copa y cono ha sido ampliamente estudiada en el pasado y existen modelos de rotura que han logrado reproducirla con éxito, en especial el modelo de Gurson- Tvergaard-Needleman (GTN). En cuanto a la rotura exhibida por el primer material, en principio nada impide abordar su reproducción numérica con un modelo GTN, sin embargo, las diferencias observadas entre ambos materiales en los ensayos experimentales permiten pensar en otro criterio de rotura. En la presente Tesis se realiza una amplia campaña experimental con probetas cilíndricas fabricadas con dos aceros representativos de los empleados en construcción con comportamientos en rotura diferentes. Por un lado se analiza el alambrón de partida empleado en la fabricación de alambres de pretensado, cuyo frente de rotura es plano y perpendicular a la dirección de aplicación de la carga con una región oscura en su interior. Por otro lado, se estudian barras de acero empleadas como armadura pasiva tipo B 500 SD, cuyo frente de rotura presenta la clásica superficie en forma de copa y cono. Estos trabajos experimentales han permitido distinguir dos comportamientos en rotura claramente diferenciados entre ambos materiales y, en el caso del primer material, se ha identificado un comportamiento asemejable al exhibido por materiales frágiles. En este trabajo se plantea la hipótesis de que el primer material, cuya rotura provoca un frente de rotura plano y perpendicular a la dirección de aplicación de la carga, rompe de manera cuasifrágil como consecuencia de un proceso de decohesión, de manera que la región oscura que se observa en el centro del frente de rotura se asemeja a una entalla circular perpendicular a la dirección de aplicación de la carga. Para la reproducción numérica de la rotura exhibida por el primer material, se plantea un criterio de rotura basado en un modelo cohesivo que, como aspecto novedoso, se hace depender de la triaxialidad de tensiones, parámetro determinante en el fallo de este tipo de materiales. Este tipo de modelos presenta varias ventajas respecto a los modelos GTN habitualmente empleados. Mientras los modelos GTN precisan de numerosos parámetros para su calibración, los modelos cohesivos precisan fundamentalmente de dos parámetros para definir su curva de ablandamiento: la tensión de decohesión ft y la energía de fractura GF . Además, los parámetros de los modelos GTN no son medibles de manera experimental, mientras que GF sí lo es. En cuanto a ft, aunque no existe un método para su determinación experimental, sí resulta un parámetro más fácilmente interpretable que los empleados por los modelos GTN, que utilizan valores como el porcentaje de huecos presentes en el material para iniciar el fenómeno de coalescencia o el porcentaje de poros que provoca una pérdida total de la capacidad resistente. Para implementar este criterio de rotura se ha desarrollado un elemento de intercara cohesivo dependiente de la triaxialidad de tensiones. Se han reproducido con éxito los ensayos de tracción llevados a cabo en la campaña experimental empleando dicho elemento de intercara. Además, en estos modelos la rotura se produce fenomenológicamente de la misma manera observada en los ensayos experimentales: produciéndose una decohesión circular en torno al eje de la probeta. En definitiva, los trabajos desarrollados en esta Tesis, tanto experimentales como numéricos, contribuyen a clarificar el comportamiento de los aceros de construcción en el último tramo de la curva F − E y los mecanismos desencadenantes de la rotura final del material, aspecto que puede contribuir a un mejor aprovechamiento de las propiedades de estos aceros en el futuro y a mejorar la seguridad de las estructuras construidas con ellos. Steel is, together with concrete, the most widely used material in civil engineering works. Not only its high strength, but also its ductility is of special interest from the point of view of the structural safety, since it enables stress distribution with adjacent elements and, therefore, more energy can be stored before reaching the structural failure. However, despite of being extensively used, there are still some aspects related to its fracture behaviour that need to be clarified and that will allow for a better use of its properties. When a steel item is tested under tension and reaches the maximum load point, necking process begins, which makes difficult to define the material behaviour from that moment onward. The ISO standard 6892-1, which defines the tensile testing method for metallic materials, describes the procedures to obtain some parameters related to this last section of the F − E curve. Nevertheless, these parameters have proved to be controversial, since they have low reproducibility and repeatibility rates that are difficult to explain. This Thesis tries to deepen the knowledge of the last section of the F − E curve for construction steels. An extensive experimental campaign has been carried out with two representative steels used in civil engineering works: a steel rod used for manufacturing prestressing steel wires, before the cold-drawing process is applied, and steel bars used in reinforced concrete structures. Both materials have different fracture surfaces: while the first of them shows a flat fracture surface, perpendicular to the loading direction with a dark region in the centre of it, the second one shows the classical cup-cone fracture surface. The cup-cone fracture surface has been deeply studied in the past and different numerical models have been able to reproduce it with success, with a special mention to the Gurson-Tvergaard-Needleman model (GTN). Regarding the failure surface shown by the first material, in principle it can be numerically reproduced by a GTN model, but the differences observed between both materials in the experimental campaign suggest thinking of a different failure criterium. In the present Thesis, an extensive experimental campaign has been carried out using cylindrical specimens made of two representative construction steels with different fracture behaviours. On one hand, the initial eutectoid steel rod used for manufacturing prestressing steel wires is analysed, which presents a flat fracture surface, perpendicular to the loading direction, and with a dark region in the centre of it. On the other hand, B 500 SD steel bars, typically used in reinforced concrete structures and with the typical cup-cone fracture surface, are studied. These experimental works have allowed distinguishing two clearly different fracture behaviours between both materials and, in the case of the first one, a fragile-like behaviour has been identified. For the first material, which shows a flat fracture surface perpendicular to the loading direction, the following hypothesis is proposed in this study: a quasi-brittle fracture is developed as a consequence of a decohesion process, with the dark region acting as a circular crack perpendicular to the loading direction. To reproduce numerically the fracture behaviour shown by the first material, a failure criterium based on a cohesive model is proposed in this Thesis. As an innovative contribution, this failure criterium depends on the stress triaxiality state of the material, which is a key parameter when studying fracture in this kind of materials. This type of models have some advantages when compared to the widely used GTN models. While GTN models need a high number of parameters to be defined, cohesive models need basically two parameters to define the softening curve: the decohesion stress ft and the fracture energy GF . In addition to this, GTN models parameters cannot be measured experimentally, while GF is indeed. Regarding ft, although no experimental procedure is defined for its obtention, it has an easier interpretation than the parameters used by the GTN models like, for instance, the void volume needed for the coalescence process to start or the void volume that leads to a total loss of the bearing capacity. In order to implement this failure criterium, a triaxiality-dependent cohesive interface element has been developed. The experimental results obtained in the experimental campaign have been successfully reproduced by using this interface element. Furthermore, in these models the failure mechanism is developed in the same way as observed experimentally: with a circular decohesive process taking place around the longitudinal axis of the specimen. In summary, the works developed in this Thesis, both experimental and numerical, contribute to clarify the behaviour of construction steels in the last section of the F − E curve and the mechanisms responsible for the eventual material failure, an aspect that can lead to a better use of the properties of these steels in the future and a safety improvement in the structures built with them.

Characterization of a Mo/Au thermometer for ATHENA

The first dark characterization of a thermometer fabricated with our Mo/Au bilayers to be used as a transition edge sensor is presented. High-quality, stress-free Mo layers, whose thickness is used to tune the critical temperature (TC ) down to 100 mK, are deposited by sputtering at room temperature (RT ) on Si3N4 bulk and membranes, and protected from degradation with a 15-nm sputtered Au layer. An extra layer of high-quality Au is deposited by ex situ e-beam to ensure low residual resistance. The thermometer is patterned on a membrane using standard photolithographic techniques and wet etching processes, and is contacted through Mo paths, displaying a sharp superconducting transition (α ≈ 600). Results show a good coupling between Mo and Au layers and excellent TC reproducibility, allowing to accurately correlate dM o and TC . Since dAu is bigger than ξM for all analyzed samples, bilayer residual resistance can be modified without affecting TC . Finally, first current to voltage measurements at different temperatures are measured and analyzed, obtaining the corresponding characterization parameters.

Study of concrete cracking during accelerated corrosion tests in reinforced concrete

Cracking of reinforced concrete can occur in certain environments due to rebar corrosion. The oxide layer growing around the bars introduces a pressure which may be enough to lead to the fracture of concrete. To study such an effect, the results of accelerated corrosion tests and finite ele- ment simulations are combined in this work. In previous works, a numerical model for the expansive layer, called expansive joint element , was programmed by the authors to reproduce the effect of the oxide over the concrete. In that model, the expansion of the oxide layer in stress free conditions is simulated as an uniform expansion perpendicular to the steel surface. The cracking of concrete is simulated by means of finite elements with an embedded adaptable cohesive crack that follow the standard cohesive model. In the present work, further accelerated tests with imposed constant cur- rent have been carried out on the same type of specimens tested in previous works (with an embedded steel tube), while measuring, among other things, the main-crack mouth opening. Then, the tests have been numerically simulated using the expansive joint element and the tube as the corroding electrode (rather than a bar). As a result of the comparison of numerical and experimental results, both for the crack mouth opening and the crack pattern, new insight is gained into the behavior of the oxide layer. In particular, quantitative assessment of the oxide expansion relation is deduced from the ex- periments, and a narrower interval for the shear stiffness of the oxide layer is obtained, which could not be achieved using bars as the corroding element, because in that case the numerical results were insensitive to the shear stiffness of the oxide layer within many orders of magnitude

Solution structure and dynamics of GCN4 cognate DNA: NMR investigations

A 12 bp long GCN4-binding, self-complementary duplex DNA d(CATGACGTCATG)2 has been investigated by NMR spectroscopy to study the structure and dynamics of the molecule in aqueous solution. The NMR structure of the DNA obtained using simulated annealing and iterative relaxation matrix calculations compares quite closely with the X-ray structure of ATF/CREB DNA in complex with GCN4 protein (DNA-binding domain). The DNA is also seen to be curved in the free state and this has a significant bearing on recognition by the protein. The dynamic characteristics of the molecule have been studied by 13C relaxation measurements at natural abundance. A correlation has been observed between sequence-dependent dynamics and recognition by GCN4 protein.

The wing of the enhancer-binding domain of Mu phage transposase is flexible and is essential for efficient transposition.

A tetramer of the Mu transposase (MuA) pairs the recombination sites, cleaves the donor DNA, and joins these ends to a target DNA by strand transfer. Juxtaposition of the recombination sites is accomplished by the assembly of a stable synaptic complex of MuA protein and Mu DNA. This initial critical step is facilitated by the transient binding of the N-terminal domain of MuA to an enhancer DNA element within the Mu genome (called the internal activation sequence, IAS). Recently we solved the three-dimensional solution structure of the enhancer-binding domain of Mu phage transposase (residues 1-76, MuA76) and proposed a model for its interaction with the IAS element. Site-directed mutagenesis coupled with an in vitro transposition assay has been used to assess the validity of the model. We have identified five residues on the surface of MuA that are crucial for stable synaptic complex formation but dispensable for subsequent events in transposition. These mutations are located in the loop (wing) structure and recognition helix of the MuA76 domain of the transposase and do not seriously perturb the structure of the domain. Furthermore, in order to understand the dynamic behavior of the MuA76 domain prior to stable synaptic complex formation, we have measured heteronuclear 15N relaxation rates for the unbound MuA76 domain. In the DNA free state the backbone atoms of the helix-turn-helix motif are generally immobilized whereas the residues in the wing are highly flexible on the pico- to nanosecond time scale. Together these studies define the surface of MuA required for enhancement of transposition in vitro and suggest that a flexible loop in the MuA protein required for DNA recognition may become structurally ordered only upon DNA binding.

Огляд наукових досліджень в галузі вивчення напружено-деформованого стану трубобетонних конструкцій

The paper presents an analytical review of the literature, which reflects the results of national and foreign scientific researches aimed to studying the features of the composition and dosage of components of self compacting concrete as one of the most promising aggregate for modern composite structures. In addition, the results of numerical and experimental researches of stress-strain state of composite structures (concrete-filled tubes) under the influence of various power factors, have been considered. The description and features of existing analytical methods for the determination of the bearing capacity of the considered structures under compression and bendings, have been given. The analysis of deformation model of confined concrete in a composition of the composite structure, as well as non-linear models of steel works with their distinctive features, has been carried out. The main approaches to the finite element modeling of composite structures have been determined.