Producción in vitro de Embriones Bovinos Transgénicos mediante Inyección Intracitoplasmática de Espermatozoides (ICSI) con Enzimas de Restricción. In vitro Production of Transgenic Bovine Embryos using Intracitoplasmic Sperm Injection (ICSI) and Restriction Enzymes

La ingeniería genética y la reprogramación de organismos vivos representan las nuevas fronteras biotecnológicas que permitirán generar animales con modificaciones precisas en sus genomas para un sinnúmero de aplicaciones biomédicas y agropecuarias. Las técnicas para inducir modificaciones génicas intencionales en animales, especialmente en especies mayores de interés agropecuario, se encuentran rezagadas si se compara con los avances significativos que se han producido en el área de la transgénesis de roedores de laboratorio, especialmente el ratón. Es así que, el presente proyecto persigue desarrollar y optimizar protocolos para generar embriones bovinos transgénicos para aplicaciones biotecnológicas. La estrategia propuesta, se basa en conseguir la presencia simultánea en el interior celular de una enzima de restricción (I-SceI) más un transgén (formado por casetes de expresión de una proteína fluorescente -ZsGreen1- y neomicina fosfotransferasa). Específicamente, proyectamos estudiar una vía alternativa para generar embriones bovinos transgénicos mediante la incorporación del transgén (casetes ZsGreen1 y neo) flanqueado por sitios I-SceI más la enzima I-SceI al interior del ovocito junto con el espermatozoide durante la técnica conocida como inyección intracitoplasmática de espermatozoides (ICSI). Los embriones así generados se cultivarán in vitro, inspeccionándolos diariamente para detectar la emisión de fluorescencia, indicativa de la expresión de la proteína ZsGreen1. Los embriones que alcancen el estado de blastocisto y expresen el transgén se transferirán quirúrgicamente al útero de ovejas sincronizadas y se mantendrán durante 7 días. Al cabo de este período, los embriones se recolectarán quirúrgicamente del útero ovino y se transportarán al laboratorio para determinar el número de sitios de integración y número de copias del transgén mediante el análisis de su ADN por Southern blot. Se prevé que los resultados de esta investigación permitirán sentar las bases para el desarrollo de métodos eficientes para obtener modificaciones precisas en el genoma de los animales domésticos para futuras aplicaciones biotecnológicas. Genetic engineering and reprogrammed organisms represent the new biotechnological frontiers which will make possible to generate animals with precise genetic modifications for agricultural and biomedical applications. Current methods used to generate genetically modified large animals, lay behind those used in laboratory animals, specially the mouse. Therefore, we seek to develop and optimize protocols to produce transgenic bovine embryos through the use of a non-viral vector. The strategy involves the simultaneous presence inside the cell of a restriction enzyme (I-SceI) and a transgene (carrying cassettes for a fluorescent protein -ZsGreen1- and neomycin phosphotransferase) flanked by restriction sites for the endonuclease. We plan to develop an alternative approach to generate transgenic bovine embryos by coinjecting the transgene flanked by I-SceI restriction sites plus the enzyme I-SceI along with the spermatozoon during the technique known as intracytoplasmic sperm injection (ICSI). Embryos will be cultured in vitro and inspected daily with a fluorescence microscope to characterize transgene expression. Embryos that reach the blastocyst stage and express the transgene will be surgically transfer to the uterus of a synchronized ewe. After 7 days, the embryos will be flushed out the ovine uterus and transported to the laboratory to determine the number of integration sites and transgene copies by Southern blot. We anticipate that results from this research will set the stage for the development of efficient strategies to achieve precise genetic modifications in large domestic animals for future biotechnological applications.

Inverse Problems for multiple invariant curves

Planar polynomial vector fields which admit invariant algebraic curves, Darboux integrating factors or Darboux first integrals are of special interest. In the present paper we solve the inverse problem for invariant algebraic curves with a given multiplicity and for integrating factors, under generic assumptions regarding the (multiple) invariant algebraic curves involved. In particular we prove, in this generic scenario, that the existence of a Darboux integrating factor implies Darboux integrability. Furthermore we construct examples where the genericity assumption does not hold and indicate that the situation is different for these.

Inverse problems for invariant algebraic curves: explicit computations

Given an algebraic curve in the complex affine plane, we describe how to determine all planar polynomial vector fields which leave this curve invariant. If all (finite) singular points of the curve are nondegenerate, we give an explicit expression for these vector fields. In the general setting we provide an algorithmic approach, and as an alternative we discuss sigma processes.

Fast numerical algorithms for the computation of invariant tori in Hamiltonian systems

In this paper, we develop numerical algorithms that use small requirements of storage and operations for the computation of invariant tori in Hamiltonian systems (exact symplectic maps and Hamiltonian vector fields). The algorithms are based on the parameterization method and follow closely the proof of the KAM theorem given in [LGJV05] and [FLS07]. They essentially consist in solving a functional equation satisfied by the invariant tori by using a Newton method. Using some geometric identities, it is possible to perform a Newton step using little storage and few operations. In this paper we focus on the numerical issues of the algorithms (speed, storage and stability) and we refer to the mentioned papers for the rigorous results. We show how to compute efficiently both maximal invariant tori and whiskered tori, together with the associated invariant stable and unstable manifolds of whiskered tori. Moreover, we present fast algorithms for the iteration of the quasi-periodic cocycles and the computation of the invariant bundles, which is a preliminary step for the computation of invariant whiskered tori. Since quasi-periodic cocycles appear in other contexts, this section may be of independent interest. The numerical methods presented here allow to compute in a unified way primary and secondary invariant KAM tori. Secondary tori are invariant tori which can be contracted to a periodic orbit. We present some preliminary results that ensure that the methods are indeed implementable and fast. We postpone to a future paper optimized implementations and results on the breakdown of invariant tori.

Haar wavelets-based approach for quantifying credit portfolio losses

This paper proposes a new methodology to compute Value at Risk (VaR) for quantifying losses in credit portfolios. We approximate the cumulative distribution of the loss function by a finite combination of Haar wavelet basis functions and calculate the coefficients of the approximation by inverting its Laplace transform. The Wavelet Approximation (WA) method is specially suitable for non-smooth distributions, often arising in small or concentrated portfolios, when the hypothesis of the Basel II formulas are violated. To test the methodology we consider the Vasicek one-factor portfolio credit loss model as our model framework. WA is an accurate, robust and fast method, allowing to estimate VaR much more quickly than with a Monte Carlo (MC) method at the same level of accuracy and reliability.

European French-speaking study from the GEMO group on bone metastases management: a special focus on external beam radiotherapy practice survey.

This study seeks to perform a survey of patterns of practice among the different physicians involved in the bone metastases management, with special focus on external beam radiotherapy (EBRT).A questionnaire about bone metastases based on clinical cases and supplemented with general questions, including medical therapies, EBRT and metabolic radiotherapy strategies, surgery, and supportive care approaches, was sent to 4,706 French-speaking physicians in Belgium, France, Luxemburg, and Switzerland.Overall, 644 questionnaires were analyzed. Twenty-eight percent concerned the radiotherapy approach and were judged adequate to respond to the part dedicated to EBRT. Sixty-nine percent of physicians used a total dose irradiation of 30 Gy delivered in ten fractions. A large majority (75%) used two opposed fields prescribed at mid-depth (30%), or with non-equally weighted fields (45%). Seventy percent irradiated also above and below the concerned vertebra. A dosimetry planning treatment was done in 85% and high-energy megavoltage photons were used in 42%. Moreover, 54% physicians used short course radiotherapy in routine.Radiotherapy remains the mainstay of treatment of bone metastases, but there is substantial heterogeneity in clinical practice. Guidelines and treatment protocols are required to improve the treatment quality.

On the coincidence between the Shimomura's bargaining sets and the core

[cat] En l'article es dona una condició necessària per a que els conjunts de negociació definits per Shimomura (1997) i el nucli d'un joc cooperatiu amb utilitat transferible coincideixin. A tal efecte, s'introdueix el concepte de vectors de màxim pagament. La condició necessària consiteix a verificar que aquests vectors pertanyen al nucli del joc.

Lee HWA Chung theorem for presympectic manifolds. Canonical transformations for constrained systems

We generalize the analogous of Lee Hwa Chungs theorem to the case of presymplectic manifolds. As an application, we study the canonical transformations of a canonical system (M, S, O). The role of Dirac brackets as a test of canonicity is clarified.

Canonical transformations theory for presymplectic systems

We develop a theory of canonical transformations for presymplectic systems, reducing this concept to that of canonical transformations for regular coisotropic canonical systems. In this way we can also link these with the usual canonical transformations for the symplectic reduced phase space. Furthermore, the concept of a generating function arises in a natural way as well as that of gauge group.

Lee HWA Chung theorem for presympectic manifolds. Canonical transformations for constrained systems

We generalize the analogous of Lee Hwa Chungs theorem to the case of presymplectic manifolds. As an application, we study the canonical transformations of a canonical system (M, S, O). The role of Dirac brackets as a test of canonicity is clarified.

On the coincidence between the Shimomura's bargaining sets and the core

[cat] En l'article es dona una condició necessària per a que els conjunts de negociació definits per Shimomura (1997) i el nucli d'un joc cooperatiu amb utilitat transferible coincideixin. A tal efecte, s'introdueix el concepte de vectors de màxim pagament. La condició necessària consiteix a verificar que aquests vectors pertanyen al nucli del joc.

Generation of symmetric periodic orbits by a heteroclinic loop formed by two singular points and their invariant manifolds of dimension 1 and 2 in R3

In this paper we will find a continuous of periodic orbits passing near infinity for a class of polynomial vector fields in R3. We consider polynomial vector fields that are invariant under a symmetry with respect to a plane and that possess a “generalized heteroclinic loop” formed by two singular points e+ and e− at infinity and their invariant manifolds � and . � is an invariant manifold of dimension 1 formed by an orbit going from e− to e+, � is contained in R3 and is transversal to . is an invariant manifold of dimension 2 at infinity. In fact, is the 2–dimensional sphere at infinity in the Poincar´e compactification minus the singular points e+ and e−. The main tool for proving the existence of such periodic orbits is the construction of a Poincar´e map along the generalized heteroclinic loop together with the symmetry with respect to .

Symmetric periodic orbits near a heteroclinic loop in R3 formed by two singular points, a semistable periodic orbit and their invariant manifolds

In this paper we consider C1 vector fields X in R3 having a “generalized heteroclinic loop” L which is topologically homeomorphic to the union of a 2–dimensional sphere S2 and a diameter connecting the north with the south pole. The north pole is an attractor on S2 and a repeller on . The equator of the sphere is a periodic orbit unstable in the north hemisphere and stable in the south one. The full space is topologically homeomorphic to the closed ball having as boundary the sphere S2. We also assume that the flow of X is invariant under a topological straight line symmetry on the equator plane of the ball. For each n ∈ N, by means of a convenient Poincar´e map, we prove the existence of infinitely many symmetric periodic orbits of X near L that gives n turns around L in a period. We also exhibit a class of polynomial vector fields of degree 4 in R3 satisfying this dynamics.

Symmetric periodic orbits near a heteroclinic loop formed by two singular points and their invariant manifolds of dimension 1 and 2

In this paper we consider vector fields in R3 that are invariant under a suitable symmetry and that posses a “generalized heteroclinic loop” L formed by two singular points (e+ and e −) and their invariant manifolds: one of dimension 2 (a sphere minus the points e+ and e −) and one of dimension 1 (the open diameter of the sphere having endpoints e+ and e −). In particular, we analyze the dynamics of the vector field near the heteroclinic loop L by means of a convenient Poincar´e map, and we prove the existence of infinitely many symmetric periodic orbits near L. We also study two families of vector fields satisfying this dynamics. The first one is a class of quadratic polynomial vector fields in R3, and the second one is the charged rhomboidal four body problem.

Utilization of Particle Image velocimetry in PPOOLEX condensation experiments

Particle Image Velocimetry, PIV, is an optical measuring technique to obtain velocity information of a flow in interest. With PIV it is possible to achieve two or three dimensional velocity vector fields from a measurement area instead of a single point in a flow. Measured flow can be either in liquid or in gas form. PIV is nowadays widely applied to flow field studies. The need for PIV is to obtain validation data for Computational Fluid Dynamics calculation programs that has been used to model blow down experiments in PPOOLEX test facility in the Lappeenranta University of Technology. In this thesis PIV and its theoretical background are presented. All the subsystems that can be considered to be part of a PIV system are presented as well with detail. Emphasis is also put to the mathematics behind the image evaluation. The work also included selection and successful testing of a PIV system, as well as the planning of the installation to the PPOOLEX facility. Already in the preliminary testing PIV was found to be good addition to the measuring equipment for Nuclear Safety Research Unit of LUT. The installation to PPOOLEX facility was successful even though there were many restrictions considering it. All parts of the PIV system worked and they were found out to be appropriate for the planned use. Results and observations presented in this thesis are a good background to further PIV use.