An hp finite element adaptive scheme to solve the Poisson problem on curved domains

In this work, we introduce an hp finite element method for two-dimensional Poisson problems on curved domains using curved elements. We obtain a priori error estimates and define a local a posteriori error estimator of residual type. We show, under appropriate assumptions about the curved domain, the global reliability and the local efficiency of the estimator. More precisely, we prove that the estimator is equivalent to the energy norm of the error up to higher-order terms. The equivalence constant of the efficiency estimate depends on the polynomial degree. We also present an hp adaptive algorithm and several numerical tests which show the performance of the adaptive strategy.Fil: Armentano, Maria Gabriela. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Padra, Claudio. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; ArgentinaFil: Scheble, Mario. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentin

An hp finite element adaptive scheme to solve the Laplace model for fluid-solid vibrations

In this paper we introduce an hp finite element method to solve a two-dimensional fluid-structure spectral problem. This problem arises from the computation of the vibration modes of a bundle of parallel tubes immersed in an incompressible fluid. We prove the convergence of the method and a priori error estimates for the eigenfunctions and the eigenvalues. We define an a posteriori error estimator of the residual type which can be computed locally from the approximate eigenpair. We show its reliability and efficiency by proving that the estimator is equivalent to the energy norm of the error up to higher order terms, the equivalence constant of the efficiency estimate being suboptimal in that it depends on the polynomial degree. We present an hp adaptive algorithm and several numerical tests which show the performance of the scheme, including some numerical evidence of exponential convergence.Fil: Armentano, Maria Gabriela. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; ArgentinaFil: Padra, Claudio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; ArgentinaFil: Rodríguez, R.. Universidad de Concepción; ChileFil: Scheble, Mario. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentin

An hp Adaptive Strategy to Compute the Vibration Modes of a Fluid-Solid Coupled System

In this paper we propose an hp finite element method to solve a two-dimensional fluid-structure vibration problem. This problem arises from the computation of the vibration modes of a bundle of parallel tubes immersed in an incompressible fluid. We use a residual-type a posteriori error indicator to guide an hp adaptive algorithm. Since the tubes are allowed to be different, the weak formulation is a non-standard generalized eigenvalue problem. This feature is inherited by the algebraic system obtained by the discretization process. We introduce an algebraic technique to solve this particular spectral problem. We report several numerical tests which allow us to assess the performance of the schemeFil: Armentano, Maria Gabriela. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Padra, Claudio. Comisión Nacional de Energía Atómica. Gerencia del Area de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Rodriguez, Rodolfo. Universidad de Concepción; ChileFil: Scheble, Mario. Comisión Nacional de Energía Atómica. Gerencia del Area de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentin

Somatic copy number alterations by whole exome sequencing implicates YWHAZ and PTK2 in castration resistant prostate cancer

Castration resistant prostate cancer (CRPC) is the most aggressive form of prostate cancer (PCa) and remains a significant therapeutic challenge. The key to the development of novel therapeutic targets for CRPC is to decipher the molecular alterations underlying this lethal disease. In our study, we aimed at identifying novel genes involved in CRPC by assessing somatic copy number alterations (SCNA) using whole exome sequencing on CRPC and paired normal formalin fixed paraffin embedded (FFPE) samples by the SOLiD4 next generation sequencing platform. The CRPC and paired normal FFPE samples were sequenced and the data was further validated using fluorescence in-situ hybridization (FISH) on a PCa progression cohort consisting of 282 patients. Within the PCa progression cohort, YWHAZ was amplified in 3.7% of localized PCa, 25.4% of the lymph node metastases and notably in 48% of CRPC. PTK2 was amplified in 1.8% of localized PCa, 32.8% of lymph node metastases and 35% in CRPC. YWHAZ knockdown in PC-3 cells showed a significant decrease in proliferation and migration. Similarly, PTK2 inhibited cells significantly affected cell proliferation and migration. Our findings revealed that YWHAZ and PTK2 inhibition might delay the progression of the disease in CRPC patients harboring the amplification of these genes. Furthermore, our validated exome sequencing data proves that the identification of target candidates derived from FFPE tissue is a promising alternative for SCNA screening NGS technologies