Stability analysis of reaction-diffusion models on evolving domains: the effects of cross-diffusion

This article presents stability analytical results of a two component reaction-diffusion system with linear cross-diffusion posed on continuously evolving domains. First the model system is mapped from a continuously evolving domain to a reference stationary frame resulting in a system of partial differential equations with time-dependent coefficients. Second, by employing appropriately asymptotic theory, we derive and prove cross-diffusion-driven instability conditions for the model system for the case of slow, isotropic domain growth. Our analytical results reveal that unlike the restrictive diffusion-driven instability conditions on stationary domains, in the presence of cross-diffusion coupled with domain evolution, it is no longer necessary to enforce cross nor pure kinetic conditions. The restriction to activator-inhibitor kinetics to induce pattern formation on a growing biological system is no longer a requirement. Reaction-cross-diffusion models with equal diffusion coefficients in the principal components as well as those of the short-range inhibition, long-range activation and activator-activator form can generate patterns only in the presence of cross-diffusion coupled with domain evolution. To confirm our theoretical findings, detailed parameter spaces are exhibited for the special cases of isotropic exponential, linear and logistic growth profiles. In support of our theoretical predictions, we present evolving or moving finite element solutions exhibiting patterns generated by a short-range inhibition, long-range activation reaction-diffusion model with linear cross-diffusion in the presence of domain evolution

Realistic clocks, universal decoherence and the black hole information paradox

Ordinary quantum mechanics is formulated on the basis of the existence of an ideal classical clock external to the system under study. This is clearly an idealization. As emphasized originally by Salecker and Wigner and more recently by other authors, there exist limits in nature to how ``classical'' even the best possible clock can be. When one introduces realistic clocks, quantum mechanics ceases to be unitary and a fundamental mechanism of decoherence of quantum states arises. We estimate the rate of universal loss of unitarity using optimal realistic clocks. In particular we observe that the rate is rapid enough to eliminate the black hole information puzzle: all information is lost through the fundamental decoherence before the black hole can evaporate. This improves on a previous calculation we presented with a sub-optimal clock in which only part of the information was lost by the time of evaporation.Comment: 3 Pages, RevTex, no figure

The observational status of Galileon gravity after Planck

We use the latest CMB data from Planck, together with BAO measurements, to constrain the full parameter space of Galileon gravity. We constrain separately the three main branches of the theory known as the Cubic, Quartic and Quintic models, and find that all yield a very good fit to these data. Unlike in ΛCDM, the Galileon model constraints are compatible with local determinations of the Hubble parameter and predict nonzero neutrino masses at over 5σ significance. We also identify that the low l part of the CMB lensing spectrum may be able to distinguish between ΛCDM and Galileon models. In the Cubic model, the lensing potential deepens at late times on sub-horizon scales, which is at odds with the current observational suggestion of a positive ISW effect. Compared to ΛCDM, the Quartic and Quintic models predict less ISW power in the low l region of the CMB temperature spectrum, and as such are slightly preferred by the Planck data. We illustrate that residual local modifications to gravity in the Quartic and Quintic models may render the Cubic model as the only branch of Galileon gravity that passes Solar System tests

Spherical collapse in Galileon gravity: fifth force solutions, halo mass function and halo bias

We study spherical collapse in the Quartic and Quintic Covariant Galileon gravity models within the framework of the excursion set formalism. We derive the nonlinear spherically symmetric equations in the quasi-static and weak-field limits, focusing on model parameters that fit current CMB, SNIa and BAO data. We demonstrate that the equations of the Quintic model do not admit physical solutions of the fifth force in high density regions, which prevents the study of structure formation in this model. For the Quartic model, we show that the effective gravitational strength deviates from the standard value at late times (zlesssim1), becoming larger if the density is low, but smaller if the density is high. This shows that the Vainshtein mechanism at high densities is not enough to screen all of the modifications of gravity. This makes halos that collapse at zlesssim1 feel an overall weaker gravity, which suppresses halo formation. However, the matter density in the Quartic model is higher than in standard ΛCDM, which boosts structure formation and dominates over the effect of the weaker gravity. In the Quartic model there is a significant overabundance of high-mass halos relative to ΛCDM. Dark matter halos are also less biased than in ΛCDM, with the difference increasing appreciably with halo mass. However, our results suggest that the bias may not be small enough to fully reconcile the predicted matter power spectrum with LRG clustering data

Quantum Geometry and Thermal Radiation from Black Holes

A quantum mechanical description of black hole states proposed recently within non-perturbative quantum gravity is used to study the emission and absorption spectra of quantum black holes. We assume that the probability distribution of states of the quantum black hole is given by the ``area'' canonical ensemble, in which the horizon area is used instead of energy, and use Fermi's golden rule to find the line intensities. For a non-rotating black hole, we study the absorption and emission of s-waves considering a special set of emission lines. To find the line intensities we use an analogy between a microscopic state of the black hole and a state of the gas of atoms.Comment: 19 pages, 4 figures, modified version to appear in Class. Quant. Gra

The Validity Of 7-Site Skinfold Measurements Taken By Exercise Science Students

International Journal of Exercise Science 6(1) : 20-28, 2013. Skinfold (SKF) measurement is arguably the most ubiquitous method of estimating percent body fat (%BF) because of cost, ease, and feasibility. However, it is unknown how accurately novice exercise science students measure SKF thickness. Thus, the purpose of this study was to determine the validity with which exercise science students in an Exercise Physiology course measured skinfold thickness and estimated percent body fat (%BF) when compared to a skilled technician. Twenty-three novice undergraduate students were afforded both verbal measurement instruction and visual measurement demonstration and, subsequently, assessed SKF thicknesses of a male and female testee. %BF was calculated using measurements obtained by the skilled technician and students. Comparisons were made between measurements taken by the skilled technician and students using error, absolute error, and one sample t-tests. For the female testee, average error ranged from -0.5 mm to -4.8 mm for the 7-sites, 1.7±15.4 mm for the sum of 7-sites, and -3.7±2.6% for %BF. The average absolute error ranged from 1.2 mm to 4.9 mm for the 7-sites, 23.3±12.7 mm for the sum of 7-sites, and 3.9±2.2% for %BF. For the male testee, average error ranged from 0.0 mm to 0.9 mm for the 7-sites, 2.9±8.5 mm for the sum of 7-sites, and 0.5±1.4% for %BF. The average absolute error ranged from 0.6 mm to 1.1 mm for the 7-sites, 4.8±7.5 mm for the sum of 7-sites, and 0.8±1.2% for BF%. The one sample t-tests revealed no significant differences in the sum of 7-sites and %BF for the male model (p\u3e0.05), but significant differences were found for the female model (p\u3c0.05). From a practical perspective, when novice exercise science students were provided both verbal and visual instructions of SKF measurement technique, students were able to accurately assess %BF of a male testee as compared to the skilled technician. With respect to the female testee, however, students underestimated the sum of the 7 SKF sites by ~ 20 mm when compared to the skilled technician. Additional tutelage and practice may be necessary when teaching SKF measurement of females and/or individuals with higher %BF to novice undergraduate exercise science students

What Factors Determine the Levels of Physical Activity after Cardiac Rehabilitation Program?

introdução: Os Programas de Reabilitação Cardíaca ganharam enorme relevância na prevenção de doenças cardiovasculares constituindo um desafio assegurar a prática de exercício físico regular durante e após o fim do programa supervisionado. O objetivo deste trabalho foi determinar os fatores que influenciam os hábitos de atividade física 12 meses após um Programa de Reabilitação Cardíaca.Material e Métodos: Estudo prospetivo abrangendo 580 doentes com cardiopatia isquémica consecutivamente orientados para Programas de Reabilitação Cardíaca na Unidade de Reabilitação Cardiovascular do Centro Hospitalar do Porto, entre Janeiro de 2008 e Junho de 2011. Avaliaram-se os níveis de atividade física através do International Physical Activity Questionnaire realizado no início do programa, aos 3 e 12 meses depois. Foram testados como potenciais determinantes dos hábitos de atividade física a longo prazo: idade; sexo; fatores de risco modificáveis; capacidade funcional (alcançada em prova de esforço); análises laboratoriais (HbA1c, perfil lipídico, Proteína C Reativa e Peptideo Natriurético Cerebral). Realizou-se análise de regressão linear para identificar os preditores significativos e encontrar o melhor ajuste do modelo.Resultados: A idade avançada, género feminino, a capacidade funcional, níveis de atividade física baixos previamente ao Programa de Reabilitação Cardíaca e uma fraca evolução do International Physical Activity Questionnaire durante o programa foram os melhores preditores univariáveis de uma evolução menos favorável do International Physical Activity Questionnaire nos 12 meses de follow-up. A análise de regressão linear multivariável concluiu que o melhor modelo explicativo incluía: idade, género, evolução do IPAQ no programa (R2 ajust = 0,318; f = 60,62; p < 0,001).Conclusão: A identificação de subgrupos de doentes com menor tendência à prática de atividade física permite desenvolver estratégias individualizadas, maximizando o potencial terapêutico e preventivo dos Programas de Reabilitação Cardíaca

Linear perturbations in K-mouflage cosmologies with massive neutrinos

We present a comprehensive derivation of linear perturbation equations for different matter species, including photons, baryons, cold dark matter, scalar fields, and massless and massive neutrinos in the presence of a generic conformal coupling. Starting from the Lagrangians, we show how the conformal transformation affects the dynamics. In particular, we discuss how to incorporate consistently the scalar coupling in the equations of the Boltzmann hierarchy for massive neutrinos and the subsequent fluid approximations. We use the recently proposed K-mouflage model as an example to demonstrate the numerical implementation of our linear perturbation equations. K-mouflage is a new mechanism to suppress the fifth force between matter particles induced by the scalar coupling, but in the linear regime the fifth force is unsuppressed and can change the clustering of different matter species in different ways. We show how the cosmic microwave background, lensing potential and matter power spectra are affected by the fifth force and find ranges of K-mouflage parameters whose effects could be seen observationally. We also find that the scalar coupling can have the nontrivial effect of shifting the amplitude of the power spectra of the lensing potential and density fluctuations in opposite directions, although both probe the overall clustering of matter. This paper can serve as a reference for those who work on generic coupled scalar field cosmology or those who are interested in the cosmological behavior of the K-mouflage model

Weak lensing by voids in modified lensing potentials

We study lensing by voids in Cubic Galileon and Nonlocal gravity cosmologies, which are examples of theories of gravity that modify the lensing potential. We find voids in the dark matter and halo density fields of N-body simulations and compute their lensing signal analytically from the void density profiles, which we show are well fit by a simple analytical formula. In the Cubic Galileon model, the modifications to gravity inside voids are not screened and they approximately double the size of the lensing effects compared to GR. The difference is largely determined by the direct effects of the fifth force on lensing and less so by the modified density profiles. For this model, we also discuss the subtle impact on the force and lensing calculations caused by the screening effects of haloes that exist in and around voids. In the Nonlocal model, the impact of the modified density profiles and the direct modifications to lensing are comparable, but they boost the lensing signal by only ≈ 10%, compared with that of GR. Overall, our results suggest that lensing by voids is a promising tool to test models of gravity that modify lensing

Shading Effect on Production and Protein Concentration of \u3cem\u3eDactylis Glomerata\u3c/em\u3e and \u3cem\u3eAgrostis Tenuis\u3c/em\u3e

Silvopastoral systems make compatible livestock and timber production and provide important advantages from economic and ecological points of view (Sibbald, 1996). Around one million ha of new afforested areas promoted by the EU Common Agricultural Policy have been established in the last decade, that can be used as potential silvopastoral system areas. Pasture production is usually reduced in dense stands as trees grow up due to the light interception by the tree crown, but the radiation reaching the soil will depend on the tree type and this will affect herbaceous species composition and development. The aim of this work was to evaluate the shading effect (0 and 50 % of light interception) on pasture production and composition of monocultures of cocksfoot (Dactylis glomerata L. var. Artabro) and bent grass (Agrostis tenuis Sibth. cv Highland) in simulated conditions