Renormalization-group constraints on Yukawa alignment in multi-Higgs-doublet models

We write down the renormalization-group equations for the Yukawa-coupling matrices in a general multi-Higgs-doublet model. We then assume that the matrices of the Yukawa couplings of the various Higgs doublets to right-handed fermions of fixed quantum numbers are all proportional to each other. We demonstrate that, in the case of the two-Higgs-doublet model, this proportionality is preserved by the renormalization-group running only in the cases of the standard type-I, II, X, and Y models. We furthermore show that a similar result holds even when there are more than two Higgs doublets: the Yukawa-coupling matrices to fermions of a given electric charge remain proportional under the renormalization-group running if and only if there is a basis for the Higgs doublets in which all the fermions of a given electric charge couple to only one Higgs doublet.

Influence of LPG composition on straw applied one componente PU winter foam

O principal objectivo desta tese é obter uma relação directa entre a composição dos gases liquefeitos de petróleo (GLP), propano, n-butano e isobutano, usados como aerossóis propulsores numa lata de poliuretano de um componente, com as propriedades das espumas produzidas por spray. As espumas obtidas, terão de ter como requisito principal, um bom desempenho a temperaturas baixas, -10ºC, sendo por isso designadas por espumas de Inverno. Uma espuma é considerada como tendo um bom desempenho se não apresentar a -10/-10ºC (temperatura lata/ spray) glass bubbles, base holes e cell collapse. As espumas deverão ainda ter densidades do spray no molde a +23/+23ºC abaixo dos 30 g/L, um rendimento superior a 30 L, boa estabilidade dimensional e um caudal de espuma a +5/+5ºC superior a 5 g/s. Os ensaios experimentais foram realizados a +23/+23ºC, +5/+5ºC e a -10/-10ºC. A cada temperatura, as espumas desenvolvidas, foram submetidas a testes que permitiram determinar a sua qualidade. Testes esses que incluem os designados por Quick Tests (QT): o spray no papel e no molde das espumas nas referidas temperaturas. As amostras do papel e no molde são especialmente analisadas, quanto, às glass bubbles, cell collapse, base holes, cell structur e, cutting shrinkage, para além de outras propriedades. Os QT também incluem a análise da densidade no molde (ODM) e o estudo do caudal de espumas. Além dos QT foram realizados os testes da estabilidade dimensional das espumas, testes físicos de compressão e adesão, testes de expansão das espumas após spray e do rendimento por lata de espuma. Em todos os ensaios foi utilizado um tubo adaptador colocado na válvula da lata como método de spray e ainda mantida constante a proporção das matérias-primas (excepto os gases, em estudo). As experiências iniciaram-se com o estudo de GLPs presentes no mercado de aerossóis. Estes resultaram que o GLP: propano/ n-butano/ isobutano: (30/ 0/ 70 w/w%), produz as melhores espumas de inverno a -10/-10ºC, reduzindo desta forma as glass bubbles, base holes e o cell collapse produzido pelos restantes GLP usados como aerossóis nas latas de poliuretano. Testes posteriores tiveram como objectivo estudar a influência directa de cada gás, propano, n-butano e isobutano nas espumas. Para tal, foram usadas duas referências do estudo com GLP comercializáveis, 7396 (30 /0 /70 w/w %) e 7442 (0/ 0/ 100 w/w %). Com estes resultados concluí-se que o n-butano produz más propriedades nas espumas a -10/- 10ºC, formando grandes quantidades de glass bubbles, base holes e cell collapse. Contudo, o uso de propano reduz essas glass bubbles, mas em contrapartida, forma cell collapse.Isobutano, porém diminui o cell collapse mas não as glass bubbles. Dos resultados experimentais podemos constatar que o caudal a +5/+5ºC e densidade das espumas a +23/+23ºC, são influenciados pela composição do GLP. O propano e n-butano aumentam o caudal de espuma das latas e a sua densidade, ao contrário com o que acontece com o isobutano. Todavia, pelos resultados obtidos, o isobutano proporciona os melhores rendimentos de espumas por lata. Podemos concluir que os GLPs que contivessem cerca de 30 w/w % de propano (bons caudais a +5/+5ºC e menos glass bubbles a -10/-10ºC), e cerca 70 w/w % de isobutano (bons rendimentos de espumas, bem como menos cell collapse a -10/-10ºC) produziam as melhores espumas. Também foram desenvolvidos testes sobre a influência da quantidade de gás GLP presente numa lata. A análise do volume de GLP usado, foi realizada com base na melhor espuma obtida nos estudos anteriores, 7396, com um GLP (30 / 0/ 70 w/w%), e foram feitas alterações ao seu volume gás GLP presente no pré-polímero. O estudo concluiu, que o aumento do volume pode diminuir a densidade das espumas, e o seu decréscimo, um aumento da densidade. Também indico u que um mau ajuste do volume poderá causar más propriedades nas espumas. A análise económica, concluiu que o custo das espumas com mais GLP nas suas formulações, reduz-se em cerca de 3%, a quando de um aumento do volume de GLP no pré-polímero de cerca de 8 %. Esta diminuição de custos deveu-se ao facto, de um aumento de volume de gás, implicar uma diminuição na quantidade das restantes matérias-primas, com custos superiores, já que o volume útil total da lata terá de ser sempre mantido nos 750 mL. Com o objectivo de melhorar a qualidade da espuma 7396 (30/0/70 w/w %) obtida nos ensaios anteriores adicionou-se à formulação 7396 o HFC-152a (1,1-di fluoroetano). Os resultados demonstram que se formam espumas com más propriedades, especialmente a -10/-10ºC, contudo proporcionou excelentes shaking rate da lata. Através de uma pequena análise de custos não é aconselhável o seu uso pelos resultados obtidos, não proporcionando um balanço custo/benefício favorável. As três melhores espumas obtidas de todos os estudos foram comparadas com uma espuma de inverno presente no mercado. 7396 e 7638 com um volume de 27 % no prépolímero e uma composição de GLP (30/ 0 / 70 w/w%) e (13,7/ 0/ 86,3 w/w%), respectivamente, e 7690, com 37 % de volume no pré-polímero e GLP (30/ 0 / 70 w/w%), apresentaram em geral melhores resultados, comparando com a espuma benchmark . Contudo, os seus shaking rate a -10/-10ºC, de cada espuma, apresentaram valores bastante inferiores à composição benchmarking.

Positive Solutions of the Dirichlet Problem for the One-dimensional Minkowski-Curvature Equation

We discuss existence and multiplicity of positive solutions of the Dirichlet problem for the quasilinear ordinary differential equation-(u' / root 1 - u'(2))' = f(t, u). Depending on the behaviour of f = f(t, s) near s = 0, we prove the existence of either one, or two, or three, or infinitely many positive solutions. In general, the positivity of f is not required. All results are obtained by reduction to an equivalent non-singular problem to which variational or topological methods apply in a classical fashion.

Study of the one dimensional and transient bioheat transfer equation: Multi-layer solution development and applications

: In this work we derive an analytical solution given by Bessel series to the transient and one-dimensional (1D) bioheat transfer equation in a multi-layer region with spatially dependent heat sources. Each region represents an independent biological tissue characterized by temperature-invariant physiological parameters and a linearly temperature dependent metabolic heat generation. Moreover, 1D Cartesian, cylindrical or spherical coordinates are used to define the geometry and temperature boundary conditions of first, second and third kinds are assumed at the inner and outer surfaces. We present two examples of clinical applications for the developed solution. In the first one, we investigate two different heat source terms to simulate the heating in a tumor and its surrounding tissue, induced during a magnetic fluid hyperthermia technique used for cancer treatment. To obtain an accurate analytical solution, we determine the error associated with the truncated Bessel series that defines the transient solution. In the second application, we explore the potential of this model to study the effect of different environmental conditions in a multi-layered human head model (brain, bone and scalp). The convective heat transfer effect of a large blood vessel located inside the brain is also investigated. The results are further compared with a numerical solution obtained by the Finite Element Method and computed with COMSOL Multi-physics v4.1 (c). (c) 2013 Elsevier Ltd. All rights reserved.

Disruption and phenotypic analysis of six open reading frames from chromosome VII of Saccharomyces cerevisiae reveals one essential gene

Six open reading frames (ORFs) located on chromosome VII of Saccharomyces cerevisiae (YGR205w, YGR210c, YGR211w, YGR241c, YGR243w and YGR244c) were disrupted in two different genetic backgrounds using short-flanking homology (SFH) gene replacement. Sporulation and tetrad analysis showed that YGR211w, recently identified as the yeast ZPR1 gene, is an essential gene. The other five genes are non-essential, and no phenotypes could be associated to their inactivation. Two of these genes have recently been further characterized: YGR241c (YAP1802) encodes a yeast adaptor protein and YGR244c (LSC2) encodes the b-subunit of the succinyl-CoA ligase. For each ORF, a replacement cassette with long flanking regions homologous to the target locus was cloned in pUG7, and the cognate wild-type gene was cloned in pRS416.

Complementarity of conventional and molecular methods in the assessment of fungal contamination caused by Aspergillus fumigatus complex in one Portuguese composting plant

The handling of waste and compost that occurs frequently in composting plants (compost turning, shredding, and screening) has been shown to be responsible for the release of dust and air borne microorganisms and their compounds in the air. Thermophilic fungi, such as A. fumigatus, have been reported and this kind of contamination in composting facilities has been associated with increased respiratory symptoms among compost workers. This study intended to characterize fungal contamination in a totally indoor composting plant located in Portugal. Besides conventional methods, molecular biology was also applied to overcome eventual limitations.

How patchy can one get and still condense? The role of dissimilar patches in the interactions of colloidal particles

We investigate the influence of strong directional, or bonding, interactions on the phase diagram of complex fluids, and in particular on the liquid-vapour critical point. To this end we revisit a simple model and theory for associating fluids which consist of spherical particles having a hard-core repulsion, complemented by three short-ranged attractive sites on the surface (sticky spots). Two of the spots are of type A and one is of type B; the interactions between each pair of spots have strengths [image omitted], [image omitted] and [image omitted]. The theory is applied over the whole range of bonding strengths and results are interpreted in terms of the equilibrium cluster structures of the coexisting phases. In systems where unlike sites do not interact (i.e. where [image omitted]), the critical point exists all the way to [image omitted]. By contrast, when [image omitted], there is no critical point below a certain finite value of [image omitted]. These somewhat surprising results are rationalised in terms of the different network structures of the two systems: two long AA chains are linked by one BB bond (X-junction) in the former case, and by one AB bond (Y-junction) in the latter. The vapour-liquid transition may then be viewed as the condensation of these junctions and we find that X-junctions condense for any attractive [image omitted] (i.e. for any fraction of BB bonds), whereas condensation of the Y-junctions requires that [image omitted] be above a finite threshold (i.e. there must be a finite fraction of AB bonds).

Synchronization and Basins of Synchronized in Two-Dimensional Piecewise Maps Via Coupling Three Pieces of One-Dimensional Maps

This paper is devoted to the synchronization of a dynamical system defined by two different coupling versions of two identical piecewise linear bimodal maps. We consider both local and global studies, using different tools as natural transversal Lyapunov exponent, Lyapunov functions, eigenvalues and eigenvectors and numerical simulations. We obtain theoretical results for the existence of synchronization on coupling parameter range. We characterize the synchronization manifold as an attractor and measure the synchronization speed. In one coupling version, we give a necessary and sufficient condition for the synchronization. We study the basins of synchronization and show that, depending upon the type of coupling, they can have very different shapes and are not necessarily constituted by the whole phase space; in some cases, they can be riddled.

A one-dimensional prescribed curvature equation modeling the corneal shape

We prove existence, uniqueness, and stability of solutions of the prescribed curvature problem (u'/root 1 + u'(2))' = au - b/root 1 + u'(2) in [0, 1], u'(0) = u(1) = 0, for any given a > 0 and b > 0. We also develop a linear monotone iterative scheme for approximating the solution. This equation has been proposed as a model of the corneal shape in the recent paper (Okrasinski and Plociniczak in Nonlinear Anal., Real World Appl. 13:1498-1505, 2012), where a simplified version obtained by partial linearization has been investigated.

A one-dimensional prescribed curvature equation modeling the corneal shape.

We prove existence, uniqueness, and stability of solutions of the prescribed curvature problem (u'/root 1 + u'(2))' = au - b/root 1 + u'(2) in [0, 1], u'(0) = u(1) = 0, for any given a > 0 and b > 0. We also develop a linear monotone iterative scheme for approximating the solution. This equation has been proposed as a model of the corneal shape in the recent paper (Okrasinski and Plociniczak in Nonlinear Anal., Real World Appl. 13:1498-1505, 2012), where a simplified version obtained by partial linearization has been investigated.

Scaling law in Saddle-node bifurcations for one-dimensional maps: A complex variable approach

The study of transient dynamical phenomena near bifurcation thresholds has attracted the interest of many researchers due to the relevance of bifurcations in different physical or biological systems. In the context of saddle-node bifurcations, where two or more fixed points collide annihilating each other, it is known that the dynamics can suffer the so-called delayed transition. This phenomenon emerges when the system spends a lot of time before reaching the remaining stable equilibrium, found after the bifurcation, because of the presence of a saddle-remnant in phase space. Some works have analytically tackled this phenomenon, especially in time-continuous dynamical systems, showing that the time delay, tau, scales according to an inverse square-root power law, tau similar to (mu-mu (c) )(-1/2), as the bifurcation parameter mu, is driven further away from its critical value, mu (c) . In this work, we first characterize analytically this scaling law using complex variable techniques for a family of one-dimensional maps, called the normal form for the saddle-node bifurcation. We then apply our general analytic results to a single-species ecological model with harvesting given by a unimodal map, characterizing the delayed transition and the scaling law arising due to the constant of harvesting. For both analyzed systems, we show that the numerical results are in perfect agreement with the analytical solutions we are providing. The procedure presented in this work can be used to characterize the scaling laws of one-dimensional discrete dynamical systems with saddle-node bifurcations.

Validation of a new reference values’s database for semiquantification of 123I‐FP‐CIT SPECT scans in one nuclear medicine department

The DatScanTM and its Semiquantification (SQ) can provide advantages in the diagnosis of Parkinsonian Syndromes (PS). To improve the SQ is recommended the creation of adapted database (DB) with reference values for the Nuclear Medicine Departments. Previously to this work was created a adapted database (DBRV) to Nuclear Medicine Department's protocol and population of Infanta Cristina's Hospital located in Badajoz, for patients between the ages of 60 and 75, and reference values of the SQ were calculated. Aim: To evaluate the discrimination capacity of a department's adapted DB reference's values of healthy controls for DatScanTM.