A note on multi-dimensional Camassa-Holm type systems on the torus

We present a $2n$-component nonlinear evolutionary PDE which includes the $n$-dimensional versions of the Camassa-Holm and the Hunter-Saxton systems as well as their partially averaged variations. Our goal is to apply Arnold's [V.I. Arnold, Sur la g\'eom\'etrie diff\'erentielle des groupes de Lie de dimension infinie et ses applications \`a l'hydrodynamique des fluides parfaits. Ann. Inst. Fourier (Grenoble) 16 (1966) 319-361], [D.G. Ebin and J.E. Marsden, Groups of diffeomorphisms and the motion of an incompressible fluid. Ann. of Math. 92(2) (1970) 102-163] geometric formalism to this general equation in order to obtain results on well-posedness, conservation laws or stability of its solutions. Following the line of arguments of the paper [M. Kohlmann, The two-dimensional periodic $b$-equation on the diffeomorphism group of the torus. J. Phys. A.: Math. Theor. 44 (2011) 465205 (17 pp.)] we present geometric aspects of a two-dimensional periodic $\mu$-$b$-equation on the diffeomorphism group of the torus in this context.Comment: 14 page

Effects of neuroendocrine obesity induction on systemic hemodynamics and left ventricular function of normotensive rats

The aim of this study was to evaluate the effects of obesity induced by neonatal Monosodium Glutamate (MSG) administration upon body weight, tail blood pressure, systemic hemodynamics and left ventricular function of Wistar rats. Two groups of Wistar rats were prepared: a) 18 animals made obese through the administration of 2mg/Kg/SC of MSG during the first 11 days of the neonatal period and b)16 control animals (vehicle treated for the same period). Adults animals were followed from the 3rd up the 6th month of life with blood pressure and body weight being measured twice a week. At the end of this period, in part of animals from both groups, we evaluated the left ventricular function through the Langendorff isolated heart preparation whereas the remainders were used to evaluate the systemic hemodynamics through a termodilution method. Results: MSG animals showed significant increases in heart rate (WST = 235,0 ± 35,1; MSG = 312,0 ± 90,8 bpm), total peripheral resistance (WST = 0,312 ± 0,100; MSG = 0,535 ± 0,195 mmHg.ml-1.min) and in relative epididymal adipose tissue content (WST = 2,076 ± 0,622; MSG = 2,731 ± 0,722 g/100g) and a reduction of systolic volume (WST = 1,020 ± 0,364; MSG = 0,748 ± 0,455 ml/bat). An increase in mean arterial pressure was also detected in obese animals during the hemodynamic evaluation. The increases in HR and TPR and the reduction in SV suggest an augmentation in the sympathetic activation of those obese normotensive rats associated with an increased visceral fat deposition.O objetivo do estudo foi avaliar o efeito da obesidade induzida pela administração neonatal de glutamato monossódico (MSG) sobre o peso corporal, a pressão arterial de cauda, a hemodinâmica sistêmica e a função ventricular esquerda de ratos Wistar. Dois grupos de ratos Wistar foram preparados: a)18 animais foram tornados obesos por meio da administração de 2 mg/kg/SC de MSG durante os 11 primeiros dias do período neonatal e b)16 animais controles (que receberam o veículo do MSG pelo mesmo período). Animais adultos foram acompanhados dos três aos seis meses de vida e tiveram pressão arterial e peso corporal medidos duas vezes por semana. Ao final desse período, em parte dos animais dos dois grupos, avaliou-se a função ventricular por intermédio da preparação do coração isolado de Langerdorff, e os animais restantes foram usados para o estudo da hemodinâmica sistêmica por meio de um método de termodiluição. Resultados: Nos animais MSG houve aumento da gordura epididimal relativa (WST = 2,076 ± 0,622; MSG = 2,731 ± 0,722 g/100 g), aumento significante da freqüência cardíaca (WST = 235,0 ± 35,1; MSG = 312,0 ± 90,8 bpm), da resistência periférica total (WST = 0,312 ± 0,100; MSG = 0,535 ± 0,195 mmHg.ml-1.min), e diminuição do volume sistólico (WST = 1,020 ± 0,364; MSG = 0,748 ± 0,455 µl/bat). No estudo hemodinâmico, também detectou-se nos animais obesos aumento da pressão arterial média. Os aumentos da FC e da RPT e a diminuição do VS sugerem que houve aumento da atividade simpática nos ratos normotensos com obesidade associado ao aumento da deposição de gordura visceral.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Universidade Federal de São Paulo (UNIFESP) Disciplina de Nefrologia Laboratório de Hipertensão Arterial ExperimentalUNIFESP, Disciplina de Nefrologia Laboratório de Hipertensão Arterial ExperimentalSciEL

Magnetization reversal of an individual exchange biased permalloy nanotube

We investigate the magnetization reversal mechanism in an individual permalloy (Py) nanotube (NT) using a hybrid magnetometer consisting of a nanometer-scale SQUID (nanoSQUID) and a cantilever torque sensor. The Py NT is affixed to the tip of a Si cantilever and positioned in order to optimally couple its stray flux into a Nb nanoSQUID. We are thus able to measure both the NT's volume magnetization by dynamic cantilever magnetometry and its stray flux using the nanoSQUID. We observe a training effect and temperature dependence in the magnetic hysteresis, suggesting an exchange bias. We find a low blocking temperature $T_B = 18 \pm 2$ K, indicating the presence of a thin antiferromagnetic native oxide, as confirmed by X-ray absorption spectroscopy on similar samples. Furthermore, we measure changes in the shape of the magnetic hysteresis as a function of temperature and increased training. These observations show that the presence of a thin exchange-coupled native oxide modifies the magnetization reversal process at low temperatures. Complementary information obtained via cantilever and nanoSQUID magnetometry allows us to conclude that, in the absence of exchange coupling, this reversal process is nucleated at the NT's ends and propagates along its length as predicted by theory.Comment: 8 pages, 4 figure

Necrotic tumor growth: an analytic approach

The present paper deals with a free boundary problem modeling the growth process of necrotic multi-layer tumors. We prove the existence of flat stationary solutions and determine the linearization of our model at such an equilibrium. Finally, we compute the solutions of the stationary linearized problem and comment on bifurcation.Comment: 14 pages, 3 figure

Superconducting quantum interference devices with submicron Nb/HfTi/Nb junctions for investigation of small magnetic particles

We investigated, at temperature $4.2\,\mathrm{K}$, electric transport, flux noise and resulting spin sensitivity of miniaturized Nb direct current superconducting quantum interference devices (SQUIDs) based on submicron Josephson junctions with HfTi barriers. The SQUIDs are either of the magnetometer-type or gradiometric in layout. In the white noise regime, for the best magnetometer we obtain a flux noise $S_{\Phi}^{1/2}=250\,\mathrm{n}\Phi_0/\mathrm{Hz}^{1/2}$, corresponding to a spin sensitivity $S^{1/2}_\mu\,\ge\,29\,\mu_B/\mathrm{Hz}^{1/2}$. For the gradiometer we find $S_{\Phi}^{1/2}=300\,\mathrm{n}\Phi_0/\mathrm{Hz}^{1/2}$ and $S^{1/2}_\mu\,\ge\,44\,\mu_B/\mathrm{Hz}^{1/2}$. The devices can still be optimized with respect to flux noise and coupling between a magnetic particle and the SQUID, leaving room for further improvement towards single spin resolution.Comment: 4 pages, 3 figure

Unraveling the complexity of tyrosine kinase inhibitor-resistant populations by ultra-deep sequencing of the BCR-ABL kinase domain

In chronic myeloid leukemia and Philadelphia chromosome-positive acute lymphoblastic leukemia, tyrosine kinase inhibitor (TKI) therapy may select for drug-resistant BCR-ABL mutants. We used an ultra-deep sequencing (UDS) approach to resolve qualitatively and quantitatively the complexity of mutated populations surviving TKIs and to investigate their clonal structure and evolution over time in relation to therapeutic intervention. To this purpose, we performed a longitudinal analysis of 106 samples from 33 patients who had received sequential treatment with multiple TKIs and had experienced sequential relapses accompanied by selection of 1 or more TKI-resistant mutations. We found that conventional Sanger sequencing had misclassified or underestimated BCR-ABL mutation status in 55% of the samples, where mutations with 1% to 15% abundance were detected. A complex clonal texture was uncovered by clonal analysis of samples harboring multiple mutations and up to 13 different mutated populations were identified. The landscape of these mutated populations was found to be highly dynamic. The high degree of complexity uncovered by UDS indicates that conventional Sanger sequencing might be an inadequate tool to assess BCR-ABL kinase domain mutation status, which currently represents an important component of the therapeutic decision algorithms. Further evaluation of the clinical usefulness of UDS-based approaches is warranted

Search for squarks and gluinos in events with isolated leptons, jets and missing transverse momentum at s√=8 TeV with the ATLAS detector

The results of a search for supersymmetry in final states containing at least one isolated lepton (electron or muon), jets and large missing transverse momentum with the ATLAS detector at the Large Hadron Collider are reported. The search is based on proton-proton collision data at a centre-of-mass energy s√=8 TeV collected in 2012, corresponding to an integrated luminosity of 20 fb−1. No significant excess above the Standard Model expectation is observed. Limits are set on supersymmetric particle masses for various supersymmetric models. Depending on the model, the search excludes gluino masses up to 1.32 TeV and squark masses up to 840 GeV. Limits are also set on the parameters of a minimal universal extra dimension model, excluding a compactification radius of 1/R c = 950 GeV for a cut-off scale times radius (ΛR c) of approximately 30

Evidence for the Higgs-boson Yukawa coupling to tau leptons with the ATLAS detector

Results of a search for H → τ τ decays are presented, based on the full set of proton-proton collision data recorded by the ATLAS experiment at the LHC during 2011 and 2012. The data correspond to integrated luminosities of 4.5 fb−1 and 20.3 fb−1 at centre-of-mass energies of √s = 7 TeV and √s = 8 TeV respectively. All combinations of leptonic (τ → `νν¯ with ` = e, µ) and hadronic (τ → hadrons ν) tau decays are considered. An excess of events over the expected background from other Standard Model processes is found with an observed (expected) significance of 4.5 (3.4) standard deviations. This excess provides evidence for the direct coupling of the recently discovered Higgs boson to fermions. The measured signal strength, normalised to the Standard Model expectation, of µ = 1.43 +0.43 −0.37 is consistent with the predicted Yukawa coupling strength in the Standard Model