Comparison of parameter optimization methods for quantitative susceptibility mapping.

PURPOSE: Quantitative Susceptibility Mapping (QSM) is usually performed by minimizing a functional with data fidelity and regularization terms. A weighting parameter controls the balance between these terms. There is a need for techniques to find the proper balance that avoids artifact propagation and loss of details. Finding the point of maximum curvature in the L-curve is a popular choice, although it is slow, often unreliable when using variational penalties, and has a tendency to yield overregularized results. METHODS: We propose 2 alternative approaches to control the balance between the data fidelity and regularization terms: 1) searching for an inflection point in the log-log domain of the L-curve, and 2) comparing frequency components of QSM reconstructions. We compare these methods against the conventional L-curve and U-curve approaches. RESULTS: Our methods achieve predicted parameters that are better correlated with RMS error, high-frequency error norm, and structural similarity metric-based parameter optimizations than those obtained with traditional methods. The inflection point yields less overregularization and lower errors than traditional alternatives. The frequency analysis yields more visually appealing results, although with larger RMS error. CONCLUSION: Our methods provide a robust parameter optimization framework for variational penalties in QSM reconstruction. The L-curve-based zero-curvature search produced almost optimal results for typical QSM acquisition settings. The frequency analysis method may use a 1.5 to 2.0 correction factor to apply it as a stand-alone method for a wider range of signal-to-noise-ratio settings. This approach may also benefit from fast search algorithms such as the binary search to speed up the process.

Parameterized maximum entropy models predict variability of metabolic scaling across tree communities and populations.

The maximum entropy theory of ecology (METE) applies the concept of "entropy" from information theory to predict macroecological patterns. The energetic predictions of the METE rely on predetermined metabolic scaling from external theories, and this reliance diminishes the testability of the theory. In this work, I build parameterized METE models by treating the metabolic scaling exponent as a free parameter, and I use the maximum-likelihood method to obtain empirically plausible estimates of the exponent. I test the models using the individual tree data from an oak-dominated deciduous forest in the northeastern United States and from a tropical forest in central Panama. My analysis shows that the metabolic scaling exponents predicted from the parameterized METE models deviate from that of the metabolic theory of ecology and exhibit large variation, at both community and population levels. Assemblage and population abundance may act as ecological constraints that regulate the individual-level metabolic scaling behavior. This study provides a novel example of the use of the parameterized METE models to reveal the biological processes of individual organisms. The implication and possible extensions of the parameterized METE models are discussed.

MCP-PMT timing at low light intensities with a DRS4 evaluation board / Estudio de la respuesta temporal de dos MCP-PMT a bajas intensidades de la luz utilizando un DRS4

Abstract Positron emission tomography (PET) is one of the most important diagnostic tools in medicine, allowing three-dimensional imaging of functional processes in the body. It is based on a detection of two gamma rays with an energy of 511 keV originating from the point of annihilation of the positron emitted by a radio-labeled agent. By measuring the difference of the arrival times of both annihilation photons it is possible to localize the tracer inside the body. Gamma rays are normally detected by a scintillation detector, whose timing accuracy is limited by a photomultiplier and a scintillator. By replacing a photo sensor with a microchannel plate PMT (MCP-PMT) and a scintillator with Cherenkov radiator, it is possible to localize the interaction position to the cm level. In a pioneering experimental study with Cherenkov detectors using PbF 2 crystals and microchannel plate photomultiplier tubes MCP-PMT a time resolution better than 100 ps was achieved. In this work a DRS4 digital ring sampler chip was used to read out single photon output signals from two different MCP-PMTs (Hamamatsu R3809 and Burle 85001) with a sampling rate of 5×109 samples/s. The digitized waveforms were analyzed and a comparison between the two detectors timing response was made. The time resolutions achieved were (161 ± 2.21) ps and (220 ± 2.63) ps FWHM for the Hamamatsu and Burle MCP-PMT respectively. No significant variances were observed in the study of the behavior of the FWHM when both MCP-PMT were scanned.

Resumen La tomografía por emisión de positrones (PET) es una importante herramienta en el diagnóstico médico ya que permite la obtención de imágenes tridimensionales de los procesos funcionales en el cuerpo. La técnica está basada en la detección de los dos cuantos gamma de 511 keV originados en la aniquilación del positrón emitido por el radiofármaco administrado al paciente. Midiendo la diferencia en la llegada de los dos cuantos gamma es posible determinar la posición en la que ocurrió la aniquilación. En los equipos convencionales son utilizados detectores centellantes cuya respuesta temporal está limitada por el fotomultiplicador y el cristal centellante. Remplazando el fotomultiplicador por un PMT (MCP-PMT) y el cristal centellante por un detector Cherenkov, es posible localizar la posición en la que ocurrió la aniquilación con una exactitud a nivel de pocos centímetros. En previos resultados experimentales utilizando detectores Cherenkov con cristales de PbF 2 y MCP-PMT se alcanzó una respuesta temporal de menos de 100 ps. En este trabajo fue utilizado un chip DRS4 con una velocidad de procesamiento de las señales de 5×109 samples/s para la lectura de la salida de fotones únicos de los dos MCP-PMT estudiados (Hamamatsu R3809 y Burle 85001). Las señales digitalizadas fueron analizadas y se realizó una comparación entre la respuesta temporal obtenida para ambos MCP-PMT. El tiempo de respuesta obtenido en términos de FWHM fue de (161 ± 2.21) ps y (220 ± 2.63) ps para los MCP-PMT Hamamatsu y Burle respectivamente. No se detectaron variaciones significativas en el FWHM al escanearse la superficie activa de ambos MCP-PMT .

Weak-harmonic regularization for quantitative susceptibility mapping.

PURPOSE: Background-field removal is a crucial preprocessing step for quantitative susceptibility mapping (QSM). Remnants from this step often contaminate the estimated local field, which in turn leads to erroneous tissue-susceptibility reconstructions. The present work aimed to mitigate this undesirable behavior with the development of a new approach that simultaneously decouples background contributions and local susceptibility sources on QSM inversion. METHODS: Input phase data for QSM can be seen as a composite scalar field of local effects and residual background components. We developed a new weak-harmonic regularizer to constrain the latter and to separate the 2 components. The resulting optimization problem was solved with the alternating directions of multipliers method framework to achieve fast convergence. In addition, for convenience, a new alternating directions of multipliers method-based preconditioned nonlinear projection onto dipole fields solver was developed to enable initializations with wrapped-phase distributions. Weak-harmonic QSM, with and without nonlinear projection onto dipole fields preconditioning, was compared with the original (alternating directions of multipliers method-based) total variation QSM algorithm in phantom and in vivo experiments. RESULTS: Weak-harmonic QSM returned improved reconstructions regardless of the method used for background-field removal, although the proposed nonlinear projection onto dipole fields method often obtained better results. Streaking and shadowing artifacts were substantially suppressed, and residual background components were effectively removed. CONCLUSION: Weak-harmonic QSM with field preconditioning is a robust dipole inversion technique and has the potential to be extended as a single-step formulation for initialization with uncombined multi-echo data.

Prevenção ao uso de drogas e condutas sexuais desprotegidas: formação de multiplicadores / Prevention of drug use and non-protected sexual relation: training of multipliers

Os adolescentes têm questionamentos sobre sexualidade e drogas. Entretanto, as pessoas que compõem a escola, muitas vezes, não estão preparadas para responder as dúvidas, podendo até mesmo, por meio da sua fala, deixar transparecer estereótipos de gênero, preconceitos e informações distorcidas. É neste sentido, que se pretende, neste trabalho, discutir a formação de multiplicadores para a prevenção ao uso de drogas e sexo desprotegido. Partindo-se de um estudo teórico, propõe-se analisar o desenvolvimento de programas de prevenção ao uso de drogas, posteriormente as questões importantes que devem ser incluídas nos projetos preventivos às DSTs/AIDS e, por último, a formação de multiplicadores, os quais seriam os próprios alunos e os professores, e que, assim, poderiam estar unidos no mesmo projeto. (AU)

Teenagers have questionings about both sexuality and drugs. However, people concerned to school, very often, are not prepared to answer their doubts, and even let on their answer be transparent stereotypes of gender, prejudice and distorted information. This literature review aims at discussing training of multipliers for the preventions of the use of drugs and non-protected sexual relations. From this theoretical study, we propose to analyse the development of programs, and afterwards analyse important questions that might be included on preventive projets against STD/AIDS, and finally, the formation of multipliers who could be the students and the teachers themselves, joined on the same project. (AU)