Localization of Metal Electrodes in the Intact Rat Brain Using Registration of 3D Microcomputed Tomography Images to a Magnetic Resonance Histology Atlas.

Simultaneous neural recordings taken from multiple areas of the rodent brain are garnering growing interest due to the insight they can provide about spatially distributed neural circuitry. The promise of such recordings has inspired great progress in methods for surgically implanting large numbers of metal electrodes into intact rodent brains. However, methods for localizing the precise location of these electrodes have remained severely lacking. Traditional histological techniques that require slicing and staining of physical brain tissue are cumbersome, and become increasingly impractical as the number of implanted electrodes increases. Here we solve these problems by describing a method that registers 3-D computerized tomography (CT) images of intact rat brains implanted with metal electrode bundles to a Magnetic Resonance Imaging Histology (MRH) Atlas. Our method allows accurate visualization of each electrode bundle's trajectory and location without removing the electrodes from the brain or surgically implanting external markers. In addition, unlike physical brain slices, once the 3D images of the electrode bundles and the MRH atlas are registered, it is possible to verify electrode placements from many angles by "re-slicing" the images along different planes of view. Further, our method can be fully automated and easily scaled to applications with large numbers of specimens. Our digital imaging approach to efficiently localizing metal electrodes offers a substantial addition to currently available methods, which, in turn, may help accelerate the rate at which insights are gleaned from rodent network neuroscience.

Investigation and Development of a Fully 3D Tilt Capable Hybrid SPECT - CT System for Dedicated Breast Imaging

X-ray mammography has been the gold standard for breast imaging for decades, despite the significant limitations posed by the two dimensional (2D) image acquisitions. Difficulty in diagnosing lesions close to the chest wall and axilla, high amount of structural overlap and patient discomfort due to compression are only some of these limitations. To overcome these drawbacks, three dimensional (3D) breast imaging modalities have been developed including dual modality single photon emission computed tomography (SPECT) and computed tomography (CT) systems. This thesis focuses on the development and integration of the next generation of such a device for dedicated breast imaging. The goals of this dissertation work are to: [1] understand and characterize any effects of fully 3-D trajectories on reconstructed image scatter correction, absorbed dose and Hounsifeld Unit accuracy, and [2] design, develop and implement the fully flexible, third generation hybrid SPECT-CT system capable of traversing complex 3D orbits about a pendant breast volume, without interference from the other. Such a system would overcome artifacts resulting from incompletely sampled divergent cone beam imaging schemes and allow imaging closer to the chest wall, which other systems currently under research and development elsewhere cannot achieve.

The dependence of x-ray scatter radiation on object shape, size, material composition and the CT acquisition trajectory, was investigated with a well-established beam stop array (BSA) scatter correction method. While the 2D scatter to primary ratio (SPR) was the main metric used to characterize total system scatter, a new metric called ‘normalized scatter contribution’ was developed to compare the results of scatter correction on 3D reconstructed volumes. Scatter estimation studies were undertaken with a sinusoidal saddle (±15° polar tilt) orbit and a traditional circular (AZOR) orbit. Clinical studies to acquire data for scatter correction were used to evaluate the 2D SPR on a small set of patients scanned with the AZOR orbit. Clinical SPR results showed clear dependence of scatter on breast composition and glandular tissue distribution, otherwise consistent with the overall phantom-based size and density measurements. Additionally, SPR dependence was also observed on the acquisition trajectory where 2D scatter increased with an increase in the polar tilt angle of the system.

The dose delivered by any imaging system is of primary importance from the patient’s point of view, and therefore trajectory related differences in the dose distribution in a target volume were evaluated. Monte Carlo simulations as well as physical measurements using radiochromic film were undertaken using saddle and AZOR orbits. Results illustrated that both orbits deliver comparable dose to the target volume, and only slightly differ in distribution within the volume. Simulations and measurements showed similar results, and all measured dose values were within the standard screening mammography-specific, 6 mGy dose limit, which is used as a benchmark for dose comparisons.

Hounsfield Units (HU) are used clinically in differentiating tissue types in a reconstructed CT image, and therefore the HU accuracy of a system is very important, especially when using non-traditional trajectories. Uniform phantoms filled with various uniform density fluids were used to investigate differences in HU accuracy between saddle and AZOR orbits. Results illustrate the considerably better performance of the saddle orbit, especially close to the chest and nipple region of what would clinically be a pedant breast volume. The AZOR orbit causes shading artifacts near the nipple, due to insufficient sampling, rendering a major portion of the scanned phantom unusable, whereas the saddle orbit performs exceptionally well and provides a tighter distribution of HU values in reconstructed volumes.

Finally, the third generation, fully-suspended SPECT-CT system was designed in and developed in our lab. A novel mechanical method using a linear motor was developed for tilting the CT system. A new x-ray source and a custom made 40 x 30 cm2 detector were integrated on to this system. The SPECT system was nested, in the center of the gantry, orthogonal to the CT source-detector pair. The SPECT system tilts on a goniometer, and the newly developed CT tilting mechanism allows ±15° maximum polar tilting of the CT system. The entire gantry is mounted on a rotation stage, allowing complex arbitrary trajectories for each system, without interference from the other, while having a common field of view. This hybrid system shows potential to be used clinically as a diagnostic tool for dedicated breast imaging.

Optical-CT 3D Dosimetry Using Fresnel Lenses with Minimal Refractive-Index Matching Fluid.

Telecentric optical computed tomography (optical-CT) is a state-of-the-art method for visualizing and quantifying 3-dimensional dose distributions in radiochromic dosimeters. In this work a prototype telecentric system (DFOS-Duke Fresnel Optical-CT Scanner) is evaluated which incorporates two substantial design changes: the use of Fresnel lenses (reducing lens costs from $10-30K t0 $1-3K) and the use of a 'solid tank' (which reduces noise, and the volume of refractively matched fluid from 1 ltr to 10 cc). The efficacy of DFOS was evaluated by direct comparison against commissioned scanners in our lab. Measured dose distributions from all systems were compared against the predicted dose distributions from a commissioned treatment planning system (TPS). Three treatment plans were investigated including a simple four-field box treatment, a multiple small field delivery, and a complex IMRT treatment. Dosimeters were imaged within 2 h post irradiation, using consistent scanning techniques (360 projections acquired at 1 degree intervals, reconstruction at 2mm). DFOS efficacy was evaluated through inspection of dose line-profiles, and 2D and 3D dose and gamma maps. DFOS/TPS gamma pass rates with 3%/3mm dose difference/distance-to-agreement criteria ranged from 89.3% to 92.2%, compared to from 95.6% to 99.0% obtained with the commissioned system. The 3D gamma pass rate between the commissioned system and DFOS was 98.2%. The typical noise rates in DFOS reconstructions were up to 3%, compared to under 2% for the commissioned system. In conclusion, while the introduction of a solid tank proved advantageous with regards to cost and convenience, further work is required to improve the image quality and dose reconstruction accuracy of the new DFOS optical-CT system.

La transformación de rotación en el espacio: diseño curricular e integración en el aula del ambiente de geometría dinámica Cabri 3D

Se busca generar una discusión sobre el proceso de diseño y sistematización de una experiencia de aula en la cual se integra el Ambiente de Geometría Dinámica (AGD) Cabri 3D en el aprendizaje de la transformación de rotación en el espacio. En nuestra propuesta, encontramos investigaciones importantes en didáctica de las matemáticas que han puesto en evidencia las dificultades que los estudiantes presentan comúnmente en la exploración de propiedades de los objetos geométricos en el espacio, e incluso la representación de los mismos en él. Por lo cual, la comunicación se apoya en una aproximación instrumental que busca dar cuenta del papel mediador de Cabri 3D como un instrumento construido por el sujeto en el contexto de aprendizaje de la geometría. La propuesta se basa en el diseño de una situación didáctica en la que se integra el AGD Cabri 3D; hemos introducido una categoría que caracteriza el objeto matemático a movilizar en la secuencia de situaciones didácticas, esta categoría es la transformación de rotación en el espacio. La primera caracterización debe darse desde el reconocimiento de la Geometría transformacional como una alternativa para que los estudiantes construyan conocimiento del espacio a partir de la exploración y actuación sobre el mismo, así en la propuesta de la secuencia didáctica se tomara en consideración que la transformación de rotación posibilita la exploración de aspectos complejos tales como el sentido, la magnitud angular y la invarianza de propiedades. Esta última (la invarianza de propiedades) es uno de los aspectos más importante que se deberán distinguir en el diseño de la secuencia didáctica; en la composición de rotaciones por ejemplo, se reconoce como importante que los estudiantes tengan la capacidad de poder determinar cuáles objetos geométricos, puestos en juego en la transformación, conservan sus propiedades, así como poder determinar dentro de la rotación qué se conserva invariante. La segunda caracterización es el reconocimiento de la visualización como medio para que el estudiante interprete la información gráfica de conceptos matemáticos que se le presentan, con el fin de resolver un problema y realizar conjeturas acerca de la noción matemática que está trabajando. La pregunta central para animar la discusión en torno a nuestra comunicación es la siguiente: ¿Cómo influye el uso de Cabri 3D en el estudio del espacio y la exploración de la noción de transformación de rotación en el espacio?, ¿En la organización de la clase y los dispositivos que se deben implementar en la misma?

Gazapos matemáticos en el cine y en la televisión

Parece que cuanto trata o, como en este caso, simplemente roza las matemáticas deja pronto en evidencia la incultura matemática de bastante gente, sea por confusión de conceptos, vicios extendidos de razonamiento o torpeza en el cálculo y expresión de cantidades. Cine y televisión no escapan a estos errores; pero su transcendencia social los amplifica y difunde, dándoles mayor arraigo en la población.

Gedankenexperiment de una exposición

L a exposición temporal Albert & Blas Einstein y Cabrera, del Museo Elder de la Ciencia y la Tecnología de Las Palmas de Gran Canaria, comienza presentando una maqueta versión 3D de la obra “Relatividad” de M.C. Escher. Las ventanas de la obra contienen pantallas que emiten imágenes que representan cómo se ha manipulado la imagen de A. Einstein en los medios, en el cine, en la publicidad, etc.

Matemáticas... de cine

En esta sección vamos a proponer que el cine entre en la clase de matemáticas en secundaria. No se tratará sólo de entretener a los alumnos, aunque también (¡ojalá lo consiguiéramos más a menudo!), sino de aprovechar la fascinación de la pantalla para sembrar en sus mentes una idea esencial: las Matemáticas no son algo muerto, limitado a una clase y unos libros, sino que están en nuestro mundo, jugando un papel importante, tanto en la historia colectiva como en muchas historias personales. Pero hay que saber verlas, como también hay que saber ver el cine. El cine es la gran ilusión que en la oscuridad de una sala, que puede ser el aula, suplanta a la realidad. En clase, cada escena precisará un análisis posterior, una puesta en común que, además de enseñar a ver, establezca un nexo verosímil entre esa ilusión y la realidad verdadera. En cada artículo se harán reflexiones sobre el alcance y validez de la propuesta. Después, se propondrán diversas escenas, concretando los niveles y temas para su uso didáctico. Seguramente despierten la memoria cinematográfica del lector. SUMA podría ser receptora de las reseñas que permitan la localización de otras escenas por cualquier profesor interesado en la propuesta y componer con ellas un listado útil.

Busbar sizing modeling tools: comparing an ANSYS® based 3D model with the versatile 1D model part of MHD-Valdis

The main goal of a cell stability MHD model like MHD-Valdis is to help locate the busbars around the cell in a way which leads to the generation of a magnetic field inside the cell that itself leads to a stable cell operation. Yet as far as the cell stability is concerned, the uniformity of the current density in the metal pad is also extremely important and can only be achieved with a correct busbar network sizing. This work compares the usage of a detailed ANSYS based 3D thermo-electric model with the one of the versatile 1D part of MHD-Valdis to help design a well balanced busbar network.

Modelling and prototyping the conceptual design of 3D CMM micro-probe

This paper details the prototyping of a novel three axial micro probe based on utilisation of piezoelectric sensors and actuators for true three dimensional metrology and measurements at micro- and nanometre scale. Computational mechanics is used first to model and simulate the performance of the conceptual design of the micro-probe. Piezoelectric analysis is conducted to understand performance of three different materials - silicon, glassy carbon, and nickel - and the effect of load parameters (amplitude, frequency, phase angle) on the magnitude of vibrations. Simulations are also used to compare several design options for layout of the lead zirconium titanate (PZT) sensors and to identify the most feasible from fabrication point of view design. The material options for the realisation of the device have been also tested. Direct laser machining was selected as the primary means of production. It is found that a Yb MOPA based fiber laser was capable of providing the necessary precision on glassy carbon (GC), although machining trials on Si and Ni were less successful due to residual thermal effects.To provide the active and sensing elements on the flexures of the probe, PZT thick films are developed and deposited at low temperatures (Lt720 degC) allowing a high quality functional ceramic to be directly integrated with selected materials. Characterisation of the materials has shown that the film has a homogenous and small pore microstructure.

Modelling of nano-imprint forming process for the production of miniaturised 3D structures

Nano-imprint forming (NIF) as manufacturing technology is ideally placed to enable high resolution, low-cost and high-throughput fabrication of three-dimensional fine structures and the packaging of heterogeneous micro-systems (S.Y. Chou and P.R. Krauss, 1997). This paper details a thermo-mechanical modelling methodology for optimising this process for different materials used in components such as mini-fluidics and bio-chemical systems, optoelectronics, photonics and health usage monitoring systems (HUMS). This work is part of a major UK Grand Challenge project - 3D-Mintegration - which is aiming to develop modelling and design technologies for the next generation of fabrication, assembly and test processes for 3D-miniaturised systems.

A unified 3D model of the VAR process

A 3D time-dependent model of the VAR process has been developed using CFD techniques. The model solves the coupled field equations for fluid flow, heat transfer (including phase change) and electromagnetic field, for both the electrode and the ingot. The motion of the electic arc 'preferred spot' can be specified based on observations. Correlations are sought between the local gap height, resulting from instantaneous liquid pool surface shape and electrode tip shape, and the arc motion. The detailed behaviour of the melting film on the electrode tip is studies using a spectral free surface technique, which allows investigation of the drops' detachment and drip shorts.

Can the use of supplementary video and audio materials support student understanding of 3D animation? Some results, analysis and conclusions

A project within a computing department at the University of Greenwich, has been carried out to identify whether podcasting can be used to help understanding and learning of a subject (3D Animation). We know that the benefits of podcasting in education (HE) can be justified, [1]; [2]; [3]; [4]; [5]; [6] and that some success has been proven, but this paper aims to report the results of a term-long project that provided podcast materials for students to help support their learning using Xserve and Podcast Producer technology. Findings in a previous study [6] identified podcasting as a way to diversify learning and provde a more personalised learning experience for students, as well as being able to provide access to a greater mix of learning styles [7]. Finally this paper aims to present the method of capture and distribution, the methodologies of the study, analysis of results, and conclusions that relate to podcasting and enhanced supported learning.

Cine policíaco del tardofranquismo: El thriller en el “Período Oscuro” del cine español (1969-1975)

Definición de la etapa de crisis del aparato cinematográfico franquista, llamada aquí “Período Oscuro” (1969-1975), discusión de la etiqueta de subgéneros aplicada al cinema bis de la época, y caracterización histórica del thriller español y de sus corrientes estéticas y conceptuales internas en dicho período. La acotación del período 1969-1975 es clarificada previamente ante el vacío historiográfico al respecto. Se caracteriza la crisis que tiene lugar en el “Período Oscuro”, desde su comienzo oficial en 1969, que supuso el definitivo cierre de las políticas proteccionistas emprendidas por el Director General de Cinematografía García Escudero en 1962. Después se define y discute la etiqueta de subgéneros aplicada tradicionalmente al cine español de género de bajo presupuesto. Luego, se especifican, definen y analizan las diversas categorías dentro del thriller español de 1969-1975: se trata de categorías temáticas y argumentales, estéticas, o bien relacionadas con corrientes internacionales del policíaco europeo. Por último, se extraen las conclusiones pertinentes.