106 research outputs found
A new div-curl result. Applications to the homogenization of elliptic systems and to the weak continuity of the Jacobian
In this paper a new div-curl result is established in an open set of
, , for the product of two sequences of vector-valued
functions which are bounded respectively in and
, with , and whose respectively
divergence and curl are compact in suitable spaces. We also assume that the
product converges weakly in . The key ingredient of the proof
is a compactness result for bounded sequences in , based on
the imbedding of into ( the
unit sphere of ) through a suitable selection of annuli on which
the gradients are not too high, in the spirit of De Giorgi and Manfredi. The
div-curl result is applied to the homogenization of equi-coercive systems whose
coefficients are equi-bounded in for some
\rho\textgreater{}{N-1\over 2} if N\textgreater{}2, or in if
. It also allows us to prove a weak continuity result for the Jacobian for
bounded sequences in satisfying an alternative assumption
to the -strong estimate of Brezis and Nguyen. Two examples show the
sharpness of the results
Asymptotic behavior of an elastic beam fixed on a small part of one of its extremities
We study the asymptotic behavior of the solution of an anisotropic,
heterogeneous, linearized elasticity problem in a cylinder whose diameter
tends to zero. The cylinder is assumed to be fixed (homogeneous
Dirichlet boundary condition) on the whole of one of its extremities, but only
on a small part (of size ) of the second one; the Neumann
boundary condition is assumed on the remainder of the boundary. We show that
the result depends on , and that there are 3 critical sizes, namely
, , and
, and in total 7 different regimes. We also prove a
corrector result for each behavior of .Comment: Preliminary version of a Note to be published in a slightly
abbreviated form in C. R. Acad. Sci. Paris, Ser. I, 338 (2004), pp. 975-98
Estimate of the pressure when its gradient is the divergence of a measure. Applications
International audienceIn this paper, a estimate of the pressure is derived when its gradient is the divergence of a matrix-valued measure on , or on a regular bounded open set of . The proof is based partially on the Strauss inequality [Strauss, Partial Differential Equations: Proc. Symp. Pure Math. 23 (1973) 207â214] in dimension two, and on a recent result of Bourgain and Brezis [J. Eur. Math. Soc. 9 (2007) 277â315] in higher dimension. The estimate is used to derive a representation result for divergence free distributions which read as the divergence of a measure, and to prove an existence result for the stationary Navier-Stokes equation when the viscosity tensor is only in L 1
Breakthrough Technologies Reshape the Ewing Sarcoma Molecular Landscape
Ewing sarcoma is a highly aggressive round cell mesenchymal neoplasm, most often occurring in children and young adults. At the molecular level, it is characterized by the presence of recurrent chromosomal translocations. In the last years, next-generation technologies have contributed to a more accurate diagnosis and a refined classification. Moreover, the application of these novel technologies has highlighted the relevance of intertumoral and intratumoral molecular heterogeneity and secondary genetic alterations. Furthermore, they have shown evidence that genomic features can change as the tumor disseminates and are influenced by treatment as well. Similarly, next-generation technologies applied to liquid biopsies will significantly impact patient management by allowing the early detection of relapse and monitoring response to treatment. Finally, the use of these novel technologies has provided data of great value in order to discover new druggable pathways. Thus, this review provides concise updates on the latest progress of these breakthrough technologies, underscoring their importance in the generation of key knowledge, prognosis, and potential treatment of Ewing SarcomaJunta de AndalucĂa, ConsejerĂa de Salud PI-0036-2017 y PI-0040-2017FundaciĂłn MarĂa GarcĂa EstradaUniversidad de SevillaJuan de la Cierva IncorporaciĂłn IJC-2018-036767-ILaboratorio de EdA compatible por el proyecto AECC GCB13-1578, ISCIIIFEDER PI14 / 01466, PI17 / 00464, CIBERONC CB16 / 12/00361FundaciĂłn CRIS Contra el CĂĄnce
Cross-Resistance to Abiraterone and Enzalutamide in Castration Resistance Prostate Cancer Cellular Models Is Mediated by AR Transcriptional Reactivation
Androgen deprivation therapy (ADT) and novel hormonal agents (NHAs) (Abiraterone
and Enzalutamide) are the goal standard for metastatic prostate cancer (PCa) treatment. Although
ADT is initially effective, a subsequent castration resistance status (CRPC) is commonly developed.
The expression of androgen receptor (AR) alternative splicing isoforms (AR-V7 and AR-V9) has
been associated to CRPC. However, resistance mechanisms to novel NHAs are not yet well understood. Androgen-dependent PCa cell lines were used to generate resistant models to ADT only
or in combination with Abiraterone and/or Enzalutamide (concomitant models). Functional and
genetic analyses were performed for each resistance model by real-time cell monitoring assays,
flow cytometry and RT-qPCR. In androgen-dependent PCa cells, the administration of Abiraterone
and/or Enzalutamide as first-line treatment involved a critical inhibition of AR activity associated
with a significant cell growth inhibition. Genetic analyses on ADT-resistant PCa cell lines showed
that the CRPC phenotype was accompanied by overexpression of AR full-length and AR target
genes, but not necessarily AR-V7 and/or AR-V9 isoforms. These ADT resistant cell lines showed
higher proliferation rates, migration and invasion abilities. Importantly, ADT resistance induced
cross-resistance to Abiraterone and/or Enzalutamide. Similarly, concomitant models possessed an
elevated expression of AR full-length and proliferation rates and acquired cross-resistance to its
alternative NHA as second-line treatment.Instituto de Salud Carlos III
PI17/00989European Regional Development Fund "A way to build Europe"Ramon y Cajal - Ministry of Economy and Competitiveness
RYC-2015-18382Ministry of Education, Culture and Sport
FPU14/05461University of Granad
Measurement of the cosmic ray spectrum above eV using inclined events detected with the Pierre Auger Observatory
A measurement of the cosmic-ray spectrum for energies exceeding
eV is presented, which is based on the analysis of showers
with zenith angles greater than detected with the Pierre Auger
Observatory between 1 January 2004 and 31 December 2013. The measured spectrum
confirms a flux suppression at the highest energies. Above
eV, the "ankle", the flux can be described by a power law with
index followed by
a smooth suppression region. For the energy () at which the
spectral flux has fallen to one-half of its extrapolated value in the absence
of suppression, we find
eV.Comment: Replaced with published version. Added journal reference and DO
Energy Estimation of Cosmic Rays with the Engineering Radio Array of the Pierre Auger Observatory
The Auger Engineering Radio Array (AERA) is part of the Pierre Auger
Observatory and is used to detect the radio emission of cosmic-ray air showers.
These observations are compared to the data of the surface detector stations of
the Observatory, which provide well-calibrated information on the cosmic-ray
energies and arrival directions. The response of the radio stations in the 30
to 80 MHz regime has been thoroughly calibrated to enable the reconstruction of
the incoming electric field. For the latter, the energy deposit per area is
determined from the radio pulses at each observer position and is interpolated
using a two-dimensional function that takes into account signal asymmetries due
to interference between the geomagnetic and charge-excess emission components.
The spatial integral over the signal distribution gives a direct measurement of
the energy transferred from the primary cosmic ray into radio emission in the
AERA frequency range. We measure 15.8 MeV of radiation energy for a 1 EeV air
shower arriving perpendicularly to the geomagnetic field. This radiation energy
-- corrected for geometrical effects -- is used as a cosmic-ray energy
estimator. Performing an absolute energy calibration against the
surface-detector information, we observe that this radio-energy estimator
scales quadratically with the cosmic-ray energy as expected for coherent
emission. We find an energy resolution of the radio reconstruction of 22% for
the data set and 17% for a high-quality subset containing only events with at
least five radio stations with signal.Comment: Replaced with published version. Added journal reference and DO
Measurement of the Radiation Energy in the Radio Signal of Extensive Air Showers as a Universal Estimator of Cosmic-Ray Energy
We measure the energy emitted by extensive air showers in the form of radio
emission in the frequency range from 30 to 80 MHz. Exploiting the accurate
energy scale of the Pierre Auger Observatory, we obtain a radiation energy of
15.8 \pm 0.7 (stat) \pm 6.7 (sys) MeV for cosmic rays with an energy of 1 EeV
arriving perpendicularly to a geomagnetic field of 0.24 G, scaling
quadratically with the cosmic-ray energy. A comparison with predictions from
state-of-the-art first-principle calculations shows agreement with our
measurement. The radiation energy provides direct access to the calorimetric
energy in the electromagnetic cascade of extensive air showers. Comparison with
our result thus allows the direct calibration of any cosmic-ray radio detector
against the well-established energy scale of the Pierre Auger Observatory.Comment: Replaced with published version. Added journal reference and DOI.
Supplemental material in the ancillary file
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