Modelización de la inundación química de yacimientos petrolíferos

Se desarrollan dos modelos que predicen el petróleo recuperable mediante la inyección de sustancias químicas. Ambos consideran dos fases (acuosa u oleosa) y tres componentes (agua, petróleo y especie química). El flujo es horizontal, unidimensional e incompresible. La roca tiene propiedades uniformes y puede adsorber la sustancia química. Se supone equilibrio termodinámico a través de las fases. La dispersión y los gradientes de presión capilar son despreciables y además la composición de inyección es constante. Los modelos están gobernados por un sistema de ecuaciones diferenciales parciales no lineales: la ecuación de continuidad de cada componente y la ecuación de Darcy para el flujo bifásico. En el modelo más riguroso se resuelve el sistema de ecuaciones aplicando una técnica en diferencias finitas. En el modelo más simple se adicionan restricciones con el objeto de hallar soluciones analíticas. El objetivo de este trabajo es analizar la utilidad y las limitaciones del modelo simple. Se concluye que si bien las restricciones adicionadas no responden a la realidad, el modelo simple es capaz de representar los mecanismos físicos de desplazamientos más importantes y permite obtener una primera aproximación del petróleo recuperable que es el valor máximo de la recuperación verdadera.Peer Reviewe

Modelización de la inundación química de yacimientos petrolíferos

Se desarrollan dos modelos que predicen el petróleo recuperable mediante la inyección de sustancias químicas. Ambos consideran dos fases (acuosa u oleosa) y tres componentes (agua, petróleo y especie química). El flujo es horizontal, unidimensional e incompresible. La roca tiene propiedades uniformes y puede adsorber la sustancia química. Se supone equilibrio termodinámico a través de las fases. La dispersión y los gradientes de presión capilar son despreciables y además la composición de inyección es constante. Los modelos están gobernados por un sistema de ecuaciones diferenciales parciales no lineales: la ecuación de continuidad de cada componente y la ecuación de Darcy para el flujo bifásico. En el modelo más riguroso se resuelve el sistema de ecuaciones aplicando una técnica en diferencias finitas. En el modelo más simple se adicionan restricciones con el objeto de hallar soluciones analíticas. El objetivo de este trabajo es analizar la utilidad y las limitaciones del modelo simple. Se concluye que si bien las restricciones adicionadas no responden a la realidad, el modelo simple es capaz de representar los mecanismos físicos de desplazamientos más importantes y permite obtener una primera aproximación del petróleo recuperable que es el valor máximo de la recuperación verdadera.Peer Reviewe

A Relaxed Interior Point Method for Low-Rank Semidefinite Programming Problems with Applications to Matrix Completion

A new relaxed variant of interior point method for low-rank semidefinite programming problems is proposed in this paper. The method is a step outside of the usual interior point framework. In anticipation to converging to a low-rank primal solution, a special nearly low-rank form of all primal iterates is imposed. To accommodate such a (restrictive) structure, the first order optimality conditions have to be relaxed and are therefore approximated by solving an auxiliary least-squares problem. The relaxed interior point framework opens numerous possibilities how primal and dual approximated Newton directions can be computed. In particular, it admits the application of both the first- and the second-order methods in this context. The convergence of the method is established. A prototype implementation is discussed and encouraging preliminary computational results are reported for solving the SDP-reformulation of matrix-completion problems

An improved penalty algorithm using model order reduction for MIPDECO problems with partial observations

This work addresses optimal control problems governed by a linear time-dependent partial differential equation (PDE) as well as integer constraints on the control. Moreover, partial observations are assumed in the objective function. The resulting problem poses several numerical challenges due to the mixture of combinatorial aspects, induced by integer variables, and large scale linear algebra issues, arising from the PDE discretization. Since classical solution approaches such as the branch-and-bound framework are typically overwhelmed by such large-scale problems, this work extends an improved penalty algorithm proposed by the authors, to the time-dependent setting. The main contribution is a novel combination of an interior point method, preconditioning, and model order reduction yielding a tailored local optimization solver at the heart of the overall solution procedure. A thorough numerical investigation is carried out both for the heat equation as well as a convection-diffusion problem demonstrating the versatility of the approach

NCAM1, TACR1 and NOS Genes and Temperament: A Study on Suicide Attempters and Controls

Suicide, one of the leading causes of death among young adults, seems to be plausibly modulated by both genetic and personality factors. The aim of this study was to dissect the potential association between genetics and temperament in a sample of 111 suicide attempters and 289 healthy controls. We focused on 4 genes previously investigated in association with suicide on the same sample: the nitric oxide synthase 1 and 3 (NOS1 and NOS3), the neuronal cell adhesion molecule 1 (NCAM1), and the tachykinin receptor 1 (TACR1) genes. In particular, we investigated whether a set of genetic variants in these genes (NOS1 : rs2682826, rs1353939, rs693534; NOS3 : rs2070744, rs1799983, rs891512; NCAM1 : rs2301228, rs1884, rs1245113, rs1369816, rs2196456, rs584427; TACR1 : rs3771810, rs3771825, rs726506, rs1477157) were associated with temperamental traits at the Temperament and Character Inventory (TCI). No strong evidence was found for the association between TCI personality traits and the polymorphisms considered in the 4 genes, with the exception of an association between reward dependence trait and the rs2682826 SNP in NOS1 in the healthy sample. However, this result could be plausibly interpreted as a false-positive finding. In conclusion, our study did not support the thesis of a direct modulation of these genes on temperament; however, further studies on larger samples are clearly required in order to confirm our preliminary findings and to exclude any possible minor influence. Copyright (C) 2011 S. Karger AG, Base

Solving Nonlinear Systems of Equations Via Spectral Residual Methods: Stepsize Selection and Applications

Spectral residual methods are derivative-free and low-cost per iteration procedures for solving nonlinear systems of equations. They are generally coupled with a nonmonotone linesearch strategy and compare well with Newton-based methods for large nonlinear systems and sequences of nonlinear systems. The residual vector is used as the search direction and choosing the steplength has a crucial impact on the performance. In this work we address both theoretically and experimentally the steplength selection and provide results on a real application such as a rolling contact problem

Metastatic melanoma cells with BRAF G469A mutation: nab‑paclitaxel better than vemurafenib?

Purpose BRAF G469A is a missense mutation within exon 11 of the BRAF gene resulting in a constitutively activated enzyme frequently associated with MAP kinase cascade signaling activation. No evidence currently exists about its role in determining sensitivity/resistance to BRAF inhibitors, utilized in the treatment of patients carrying BRAF V600 mutations, and to chemotherapy. The newly established metastatic melanoma (MM) cell line MO-1 was characterized for its sensitivity to vemurafenib and nabpaclitaxel, both already utilized for the treatment of MM. Methods All analyses were carried out by comparing results with those found in MM cells wild type for BRAF or mutated in V600. In addition, cellular effectors were investigated by ELISA kits, western blotting and flow cytometry. Results The exposure to vemurafenib inhibited MO-1 cell proliferation at concentrations similar to those obtained in vemurafenib-resistant melanoma models, and an explanation of this sensitivity is the strong activation of Erk1/2 . and the low expression of MITF. Nab-paclitaxel strongly reduced proliferation of MO-1 cells perhaps for the very low expression level of PMEL17, transcriptionally regulated by MITF and negatively involved in determining sensitivity to taxanes. Conclusions Thus, the mutation BRAF G469A in MM might be related to a weak effectiveness of therapy with BRAF inhibitors and a promising therapeutic approach may be with nab-paclitaxel

The neglected liaison: Targeting cancer cell metabolic reprogramming modifies the composition of non‐malignant populations of the tumor microenvironment

Metabolic reprogramming is a well‐known hallmark of cancer, whereby the development of drugs that target cancer cell metabolism is gaining momentum. However, when establishing preclinical studies and clinical trials, it is often neglected that a tumor mass is a complex system in which cancer cells coexist and interact with several types of microenvironment populations, including endothelial cells, fibroblasts and immune cells. We are just starting to understand how such populations are affected by the metabolic changes occurring in a transformed cell and little is known about the impact of metabolism‐targeting drugs on the non‐malignant tumor components. Here we provide a general overview of the links between cancer cell metabolism and tumor microenvironment (TME), particularly focusing on the emerging literature reporting TME‐specific effects of metabolic therapies

New updates of incomplete LU factorizations and applications to large nonlinear systems

Abstract In this paper, we address the problem of preconditioning sequences of large sparse nonsymmetric systems of linear equations and present two new strategies to construct approximate updates of factorized preconditioners. Both updates are based on the availability of an incomplete LU (ILU) factorization for one matrix of the sequence and differ in the approximation of the so-called ideal updates. The first strategy is an approximate diagonal update of the ILU factorization; the second strategy relies on banded approximations of the factors in the ideal update. The efficiency and reliability of the proposed preconditioners are shown in the solution of nonlinear systems of equations by preconditioned inexact Newton-Krylov methods. Matrix-free implementations of the updating strategy are provided and numerical experiments are carried out on application problems