Explicit asymptotic velocity of the boundary between particles and antiparticles

On the real line initially there are infinite number of particles on the positive half-line., each having one of $K$ negative velocities $v_{1}^{(+)},...,v_{K}^{(+)}$. Similarly, there are infinite number of antiparticles on the negative half-line, each having one of $L$ positive velocities $v_{1}^{(-)},...,v_{L}^{(-)}$. Each particle moves with constant speed, initially prescribed to it. When particle and antiparticle collide, they both disappear. It is the only interaction in the system. We find explicitly the large time asymptotics of $\beta(t)$ - the coordinate of the last collision before $t$ between particle and antiparticle.Comment: 25 page

Translation-covariant Markovian master equation for a test particle in a quantum fluid

A recently proposed master equation in the Lindblad form is studied with respect to covariance properties and existence of a stationary solution. The master equation describes the interaction of a test particle with a quantum fluid, the so-called Rayleigh gas, and is characterized by the appearance of a two-point correlation function known as dynamic structure factor, which reflects symmetry and statistical mechanics properties of the fluid. In the case of a free gas all relevant physical parameters, such as fugacity, ratio between the masses, momentum transfer and energy transfer are put into evidence, giving an exact expansion of the dynamic structure factor. The limit in which these quantities are small is then considered. In particular in the Brownian limit a Fokker-Planck equation is obtained in which the corrections due to quantum statistics can be explicitly evaluated and are given in terms of the Bose function $g_0 (z)$ and the Fermi function $f_0 (z)$.Comment: 18 pages, revtex, no figures, to appear in J. Math. Phy

A fully-discrete scheme for systems of nonlinear Fokker-Planck-Kolmogorov equations

We consider a system of Fokker-Planck-Kolmogorov (FPK) equations, where the dependence of the coefficients is nonlinear and nonlocal in time with respect to the unknowns. We extend the numerical scheme proposed and studied recently by the authors for a single FPK equation of this type. We analyse the convergence of the scheme and we study its applicability in two examples. The first one concerns a population model involving two interacting species and the second one concerns two populations Mean Field Games

IgG4-Related Hashimoto's Thyroiditis - A New Variant of a Well Known Disease

Hashimoto's thyroiditis (HT) has been characterized for many years as a well-defined clinicopathologic entity, but is now considered a heterogeneous disease. IgG4-related HT is a new subtype characterized by thyroid inflammation rich in IgG4-positive plasma cells and marked fibrosis. It may be part of the systemic IgG4-related disease. We report a case of a 56-year-old Portuguese man who presented with a one-month history of progressive neck swelling and dysphagia. Laboratory testing revealed increased inflammatory parameters, subclinical hypothyroidism and very high levels of thyroid autoantibodies. Cervical ultrasound (US) demonstrated an enlarged and heterogeneous thyroid gland and two hypoechoic nodules. US-guided fine needle aspiration cytology was consistent with lymphocytic thyroiditis. The patient was submitted to total thyroidectomy and microscopic examination identified typical findings of HT, marked fibrosis limited within the thyroid capsule and lymphoplasmacytic infiltration, with >50 IgG4-positive plasma cells per high-power field and an IgG4/IgG ratio of >40%. After surgery, serum IgG4 concentration was high-normal. Symptoms relief and reduction in laboratory inflammatory parameters were noticed. Thyroid function is controlled with levothyroxine. To our knowledge we report the first case of IgG4-related HT in a non-Asian patient. We also perform a review of the literature regarding IgG4-related disease and IgG4-related HT. Our case highlights this new variant of the well known HT, and helps physicians in recognizing its main clinical features, allowing for proper diagnosis and treatment

Serial MR diffusion to predict treatment response in high-grade pediatric brain tumors: a comparison of regional and voxel-based diffusion change metrics

Background Assessment of treatment response by measuring tumor size is known to be a late and potentially confounded response index. Serial diffusion MRI has shown potential for allowing earlier and possibly more reliable response assessment in adult patients, with limited experience in clinical settings and in pediatric brain cancer. We present a retrospective study of clinical MRI data in children with high-grade brain tumors to assess and compare the values of several diffusion change metrics to predict treatment response. Methods Eighteen patients (age range, 1.9–20.6 years) with high-grade brain tumors and serial diffusion MRI (pre- and posttreatment interval range, 1–16 weeks posttreatment) were identified after obtaining parental consent. The following diffusion change metrics were compared with the clinical response status assessed at 6 months: (1) regional change in absolute and normalized apparent diffusivity coefficient (ADC), (2) voxel-based fractional volume of increased (fiADC) and decreased ADC (fdADC), and (3) a new metric based on the slope of the first principal component of functional diffusion maps (fDM). Results Responders (n = 12) differed significantly from nonresponders (n = 6) in all 3 diffusional change metrics demonstrating higher regional ADC increase, larger fiADC, and steeper slopes (P < .05). The slope method allowed the best response prediction (P < .01, η2 = 0.78) with a classification accuracy of 83% for a slope of 58° using receiver operating characteristic (ROC) analysis. Conclusions We demonstrate that diffusion change metrics are suitable response predictors for high-grade pediatric tumors, even in the presence of variable clinical diffusion imaging protocols

Metrics and textural features of MRI diffusion to improve classification of pediatric posterior fossa tumors

BACKGROUND AND PURPOSE: Qualitative radiologic MR imaging review affords limited differentiation among types of pediatric posterior fossa brain tumors and cannot detect histologic or molecular subtypes, which could help to stratify treatment. This study aimed to improve current posterior fossa discrimination of histologic tumor type by using support vector machine classifiers on quantitative MR imaging features. MATERIALS AND METHODS: This retrospective study included preoperative MRI in 40 children with posterior fossa tumors (17 medulloblastomas, 16 pilocytic astrocytomas, and 7 ependymomas). Shape, histogram, and textural features were computed from contrast-enhanced T2WI and T1WI and diffusivity (ADC) maps. Combinations of features were used to train tumor-type-specific classifiers for medulloblastoma, pilocytic astrocytoma, and ependymoma types in separation and as a joint posterior fossa classifier. A tumor-subtype classifier was also produced for classic medulloblastoma. The performance of different classifiers was assessed and compared by using randomly selected subsets of training and test data. RESULTS: ADC histogram features (25th and 75th percentiles and skewness) yielded the best classification of tumor type (on average >95.8% of medulloblastomas, >96.9% of pilocytic astrocytomas, and >94.3% of ependymomas by using 8 training samples). The resulting joint posterior fossa classifier correctly assigned >91.4% of the posterior fossa tumors. For subtype classification, 89.4% of classic medulloblastomas were correctly classified on the basis of ADC texture features extracted from the Gray-Level Co-Occurence Matrix. CONCLUSIONS: Support vector machine–based classifiers using ADC histogram features yielded very good discrimination among pediatric posterior fossa tumor types, and ADC textural features show promise for further subtype discrimination. These findings suggest an added diagnostic value of quantitative feature analysis of diffusion MR imaging in pediatric neuro-oncology

Análise da estrutura fatorial da versão em português da Escala de Auto-Silenciamento

This study focuses on the adaptation of the Portuguese version of the Escala de Autosilenciamiento [EAS, for its Portuguese acronym] (Neves, 2005) that has been designed to assess the use of cognitive schemas for self silencing in intimate relationships. Participants were 371 women with a mean age of 22.36 years (SD=2.69; Min=18; Max=31), who at that time were involved in affective relationships with an average duration of 39.65 months (SD=33.93; Min=10; Max=192).The exploratory factor analysis suggests a factor solution of three factors, where the first factor includes items from the silencing of the sef and divided self subscales. The second factor includes items from the care-giving subscale such as self-sacrifice. And the third factor includes items from the externalized self-perception subscale. Results of the confirmatory factor analysis show reliable global indices of fitness of the model, confirming the quality of the model in terms of adjustment to empirical data (X2/df=1.964, CFI=.862, GFI=.894, RMSEA=.051) compared to the original model. Implications for a further study of the construct validity of the scale are discussed.Este estudo se centra na adaptação da versão em português da Escala de Auto-silenciamento (EAS; Neves, 2005) que está desenhada para avaliar o uso de esquemas cognitivos de auto-silenciamento nas relações íntimas. Neste estudo participaram 371 mulheres, com uma idade média de 22,36 anos (DP = 2,69, mín. = 18, máx. = 31), que nessa época estavam envolvidas em relações afetivas com uma duração média de 39,65 meses. (DP = 33,93, mín. = 0,10; máx. = 192). Uma análise fatorial exploratória posterior sugere uma solução de três fatores, aonde o primeiro fator inclui os itens da sub-escala de silenciamento do self e do self dividido; o segundo inclui os itens da sub-escala de Provisão de cuidados como o auto sacrifício, e o terceiro inclui os itens da sub-escala de auto percepção externalizada. Os resultados da análise fatorial confirmatória mostram índices gerais de adequação confiáveis, o que confirma a qualidade do ajuste do modelo aos dados empíricos (X2/df = 1964, CFI = .862, GFI = 0,894, RMSEA = 0,051) em comparação com a teste original. Analisam-se as implicações para um estudo más profundo da validez de constructo da escala.Este estudio se centra en la adaptación de la versión en portugués de la Escala de Autosilenciamiento (EAS; Neves, 2005) que está diseñada para evaluar el uso de esquemas cognitivos de autosilenciamiento en las relaciones íntimas. En este estudio participaron 371 mujeres, con una edad media de 22,36 años (DP = 2,69, mín. = 18, máx. = 31), que en esa época estaban involucradas en relaciones afectivas con una duración promedio de 39,65 meses. (DP = 33,93, mín. = 0,10; máx. = 192). Un análisis factorial exploratorio posterior sugiere una solución de tres factores, donde el primer factor incluye los ítems de la subescala de silenciamiento del self y del self dividido; el segundo incluye los ítems de la subescala de Provisión de cuidados como el autosacrificio, y el tercero incluye los ítems de la subescala de autopercepción externalizada. Los resultados del análisis factorial confirmatorio muestran índices generales de adecuación fiables, lo que confirma la calidad del ajuste del modelo a los datos empíricos (X2/df = 1964, CFI = .862, GFI = 0,894, RMSEA = 0,051) en comparación con la prueba original. Se analizan las implicaciones para un estudio más profundo de la validez de constructo de la escala

Neural Architecture of Hunger-Dependent Multisensory Decision Making in C. elegans

Little is known about how animals integrate multiple sensory inputs in natural environments to balance avoidance of danger with approach to things of value. Furthermore, the mechanistic link between internal physiological state and threat-reward decision making remains poorly understood. Here we confronted C. elegans worms with the decision whether to cross a hyperosmotic barrier presenting the threat of desiccation to reach a source of food odor. We identified a specific interneuron that controls this decision via top-down extrasynaptic aminergic potentiation of the primary osmosensory neurons to increase their sensitivity to the barrier. We also establish that food deprivation increases the worm's willingness to cross the dangerous barrier by suppressing this pathway. These studies reveal a potentially general neural circuit architecture for internal state control of threat-reward decision making