Further investigation of the initial fission-track length and geometry factor in apatite fission-track thermochronology

The external detector method (EDM) is a widely used technique in fission track thermochronology (FTT) in which two different minerals are concomitantly employed: spontaneous tracks are observed in apatite and induced ones in the muscovite external detector. They show intrinsic differences in detection and etching properties that should be taken into account. In this work, new geometry factor values, g, in apatite, were obtained by directly measuring the ρed/ρis ratios and independently determined [GQR]ed/is values through the measurement of projected lengths. Five mounts, two of which were large area prismatic sections and three samples composed of random-orientation pieces have been used to determine the g-values. A side effect of applying EDM is that the value of the initial confined induced fission track, L0, is not measured in routine analyses. The L 0-value is an important parameter to quantify with good confidence the degree of annealing of the spontaneous fission tracks in unknown-age samples, and is essential for accurate thermal history modeling. The impact of using arbitrary L0-values on the inference of sample thermal history is investigated and discussed. The measurement of the L0-value for each sample to be dated using an extra irradiated apatite mount is proposed. This extra mount can be also used for determining the g value as an extension of the ρed/ρis ratio method. Eight apatite samples from crystalline basement, with grains at random orientation, were used to determine the g-values. The results found are statistically in agreement with the values found for apatite samples (from Durango, Mexico) measured in prismatic section and also measured at random orientation. There was no observable variation in efficiency regarding crystal orientation, showing that it is relatively safe using non-prismatic grains, especially in samples with paucity of grains, as it is the case of most basin samples. Implications for the ζ-calibration and for the calibration of the direct (spectrometer-based) fission-track dating are also discussed.

On the regularity of the pressure field of relaxed solutions to Euler equations with variable density

In this paper we improve the regularity in time of the gradient of the pressure field in the solution of relaxed version of variational formulation proposed by V. I. Arnold and by Y. Brenier, for the incompressible Euler equations with variable density. We obtain that the pressure field is not only a measure, but a function in Lloc2((0,T);BVloc(D)) as an extension of the work of Ambrosio and Figalli (2008) in [1] to the variable density case. © 2013 Elsevier Ltd.

Alignment of the CMS tracker with LHC and cosmic ray data

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

On some extension of optimal control theory

Some problems of Calculus of Variations do not have solutions in the class of classic continuous and smooth arcs. This suggests the need of a relaxation or extension of the problem ensuring the existence of a solution in some enlarged class of arcs. This work aims at the development of an extension for a more general optimal control problem with nonlinear control dynamics in which the control function takes values in some closed, but not necessarily bounded, set. To achieve this goal, we exploit the approach of R.V. Gamkrelidze based on the generalized controls, but related to discontinuous arcs. This leads to the notion of generalized impulsive control. The proposed extension links various approaches on the issue of extension found in the literature.

Square of the Error Octonionic Theorem and Hypercomplex Fourier Series

The focus of this paper is to address some classical results for a class of hypercomplex numbers. More specifically we present an extension of the Square of the Error Theorem and a Bessel inequality for octonions.

PALEOPRODUCTIVITY CHANGES DURING THE LATE QUATERNARY IN THE SOUTHEASTERN BRAZILIAN UPPER CONTINENTAL MARGIN OF THE SOUTHWESTERN ATLANTIC

Changes in the Brazilian continental margin`s oceanic productivity and circulation over the last 27,000 years were reconstructed based on sedimentological and microfaunal analyses. Our results suggest that oceanic paleoproductivity and the supply of terrigenous sediments to the Brazilian continental margin were higher during the Last Glacial Maximum (LGM) than during the Holocene. These changes may have been primarily influenced by significant sea level fluctuations that have occurred since the late Pleistocene. During the LGM, the lower sea level, higher productivity and lower sea-surface paleotemperatures may have been the result of the offshore displacement of the main flow of the Brazil Current. However, during the Holocene, the warm waters of the Brazil Current were displaced toward the coast. This displacement contributed to the increase in water temperature and prevented an increase in oceanic productivity. The decrease in terrigenous supply since the LGM could be related to the increase of the extension of the continental shelf and/or drier climatic conditions.

Stochastic quantization of the spherical model and supersymmetry.

In this work, we reported some results about the stochastic quantization of the spherical model. We started by reviewing some basic aspects of this method with emphasis in the connection between the Langevin equation and the supersymmetric quantum mechanics, aiming at the application of the corresponding connection to the spherical model. An intuitive idea is that when applied to the spherical model this gives rise to a supersymmetric version that is identified with one studied in Phys. Rev. E 85, 061109, (2012). Before investigating in detail this aspect, we studied the stochastic quantization of the mean spherical model that is simpler to implement than the one with the strict constraint. We also highlight some points concerning more traditional methods discussed in the literature like canonical and path integral quantization. To produce a supersymmetric version, grounded in the Nicolai map, we investigated the stochastic quantization of the strict spherical model. We showed in fact that the result of this process is an off-shell supersymmetric extension of the quantum spherical model (with the precise supersymmetric constraint structure). That analysis establishes a connection between the classical model and its supersymmetric quantum counterpart. The supersymmetric version in this way constructed is a more natural one and gives further support and motivations to investigate similar connections in other models of the literature.

Internal Model Principle: extension to the switching case and applications

This thesis deals with a novel control approach based on the extension of the well-known Internal Model Principle to the case of periodic switched linear exosystems. This extension, inspired by power electronics applications, aims to provide an effective design method to robustly achieve the asymptotic tracking of periodic references with an infinite number of harmonics. In the first part of the thesis the basic components of the novel control scheme are described and preliminary results on stabilization are provided. In the second part, advanced control methods for two applications coming from the world high energy physics are presented.

Characterisation of the cell-transistor coupling

Die Verbindung von elektrisch aktiven, lebenden Zellen zu extrazellulären Sensorsystemen eröffnet vielfälige Möglichkeiten im Bereich der Biosensorik. Die vorliegende Arbeit leistet einen Beitrag zum tieferen Verständnis der elektrischen Kopplungsmechanismen zwischen den biologischen und elektronischen Teilen solcher Hybridsysteme. Es wurden dazu drei Hauptbereiche bearbeitet:Ein System zur extrazellulären Signalableitung an lebenden Zellen bestehend aus einem Sensorchip, einem Vorverstärkerkopf und einem Hauptverstärker wurde weiterentwickelt.Als Sensoren wurden entweder Metallmikroelektroden-Chips mit 64 Kanälen oder Feldeffekt Transistoren-Chips mit 16 Kanälen (FET) eingesetzt. Es wurden zusätzlich spezielle FET Sensoren mit Rückseitenkontakten hergestellt und eingesetzt.Die elektrische Kopplung von einzelnen Nervenzellen der neuronalen Zell-Linien SH-SY5Y und TR14 oder primär kultivierten Neuronen aus dem Hirnstamm oder dem Hippocampus von embryonalen Ratten mit den extrazellulären Sensoren wurde untersucht. In der 'whole-cell' Patch-Clamp Technik wurden die Beiträge der spannungsgesteuerten Na+- und K+-Ionenkanäle zur extrazellulären Signalform identifiziert. Die Simulation der Signale mit einem Ersatzschaltkreis (Punkt-Kontakt Modell), der in PSPICE implementiert wurde, deutet auf eine starke Abhängigkeit der Signalformen in bezug auf Konzentrationsänderungen von Na+- und K+-Ionen im Volumenbereich zwischen Zelle und den ionensensitiven Transistoren hin. Ein empirisch erweitertes Punkt-Kontakt Modell wurde daraufhin vorgestellt.Im dritten Teil der Arbeit wurden Zellschichten von Kardiomyocyten embryonaler Ratten auf den extrazellulären Sensoren kultiviert. Die Eignung eines solchen Hybridsensors als Modellherz fuer das pharmazeutische Screeing wurde durch Messungen mit Herzstimulanzien und -relaktanzien bestätigt.

Existence of solutions and asymtptotic limits of the Euler-Poisson and the quantum drift-diffusion systems

My work concerns two different systems of equations used in the mathematical modeling of semiconductors and plasmas: the Euler-Poisson system and the quantum drift-diffusion system. The first is given by the Euler equations for the conservation of mass and momentum, with a Poisson equation for the electrostatic potential. The second one takes into account the physical effects due to the smallness of the devices (quantum effects). It is a simple extension of the classical drift-diffusion model which consists of two continuity equations for the charge densities, with a Poisson equation for the electrostatic potential. Using an asymptotic expansion method, we study (in the steady-state case for a potential flow) the limit to zero of the three physical parameters which arise in the Euler-Poisson system: the electron mass, the relaxation time and the Debye length. For each limit, we prove the existence and uniqueness of profiles to the asymptotic expansion and some error estimates. For a vanishing electron mass or a vanishing relaxation time, this method gives us a new approach in the convergence of the Euler-Poisson system to the incompressible Euler equations. For a vanishing Debye length (also called quasineutral limit), we obtain a new approach in the existence of solutions when boundary layers can appear (i.e. when no compatibility condition is assumed). Moreover, using an iterative method, and a finite volume scheme or a penalized mixed finite volume scheme, we numerically show the smallness condition on the electron mass needed in the existence of solutions to the system, condition which has already been shown in the literature. In the quantum drift-diffusion model for the transient bipolar case in one-space dimension, we show, by using a time discretization and energy estimates, the existence of solutions (for a general doping profile). We also prove rigorously the quasineutral limit (for a vanishing doping profile). Finally, using a new time discretization and an algorithmic construction of entropies, we prove some regularity properties for the solutions of the equation obtained in the quasineutral limit (for a vanishing pressure). This new regularity permits us to prove the positivity of solutions to this equation for at least times large enough.

Neoproterozoic to middle Palaeozoic evolution of the Central Asian Orogenic Belt in south-central Mongolia: chronological and geochemical perspectives

Mongolia occupies a central position within the eastern branch of the large accretionary Central Asian Orogenic Belt (CAOB) or Altaids. The present work aims to outline the geodynamic environment and possible evolution of this part of the eastern CAOB, predominantly from the Cambrian to the middle Palaeozoic. The investigation primarily focussed on zircon geochronology as well as whole-rock geochemical and Sm–Nd isotopic analyses for a variety of metaigneous rocks from the southern Hangay and Gobi-Altai regions in south-central Mongolia. The southern slope of the Hangay Mountains in central Mongolia exposes a large NWSE-trending middle Neoproterozoic ophiolitic complex (c. 650 Ma), which is tectonically integrated within an accretionary complex developed between the Precambrian Baydrag and Hangay crustal blocks. Formation of the entire accretionary system along the north-eastern margin of the Baydrag block mainly occurred during the early Cambrian, but convergence within this orogenic zone continued until the early Ordovician, because of on-going southward subduction-accretion of the Baydrag block. An important discovery is the identification of a late Mesoproterozoic to early Neoproterozoic belt within the northern Gobi-Altai that was reworked during the late Cambrian and throughout the late Ordovician/Devonian. Early Silurian low-grade mafic and felsic metavolcanic rocks from the northern Gobi-Altai display subduction-related geochemical features and highly heterogeneous Nd isotopic compositions, which suggest an origin at a mature active continental margin. Early Devonian protoliths of granodioritic and mafic gneisses from the southern Gobi-Altai display geochemical and Nd isotopic compositions compatible with derivation and evolution from predominantly juvenile crustal and mantel sources and these rocks may have been emplaced within the outboard portion of the late Ordovician/early Silurian active continental margin. Moreover, middle Devonian low-grade metavolcanic rocks from the southwestern Gobi-Altai yielded geochemical and Nd isotopic data consistent with emplacement in a transitional arc-backarc setting. The combined U–Pb zircon ages and geochemical data obtained from the Gobi-Altai region suggest that magmatism across an active continental margin migrated oceanwards through time by way of subduction zone retreat throughout the Devonian. Progressive extension of the continental margin was associated with the opening of a backarc basin and culminated in the late Devonian with the formation of a Japan-type arc front facing a southward open oceanic realm (present-day coordinates).

New computational biology tools for the systematic analysis of the structure and expression of human genes

From the late 1980s, the automation of sequencing techniques and the computer spread gave rise to a flourishing number of new molecular structures and sequences and to proliferation of new databases in which to store them. Here are presented three computational approaches able to analyse the massive amount of publicly avalilable data in order to answer to important biological questions. The first strategy studies the incorrect assignment of the first AUG codon in a messenger RNA (mRNA), due to the incomplete determination of its 5' end sequence. An extension of the mRNA 5' coding region was identified in 477 in human loci, out of all human known mRNAs analysed, using an automated expressed sequence tag (EST)-based approach. Proof-of-concept confirmation was obtained by in vitro cloning and sequencing for GNB2L1, QARS and TDP2 and the consequences for the functional studies are discussed. The second approach analyses the codon bias, the phenomenon in which distinct synonymous codons are used with different frequencies, and, following integration with a gene expression profile, estimates the total number of codons present across all the expressed mRNAs (named here "codonome value") in a given biological condition. Systematic analyses across different pathological and normal human tissues and multiple species shows a surprisingly tight correlation between the codon bias and the codonome bias. The third approach is useful to studies the expression of human autism spectrum disorder (ASD) implicated genes. ASD implicated genes sharing microRNA response elements (MREs) for the same microRNA are co-expressed in brain samples from healthy and ASD affected individuals. The different expression of a recently identified long non coding RNA which have four MREs for the same microRNA could disrupt the equilibrium in this network, but further analyses and experiments are needed.

Chemical transformations of the pyrene K-region for functional materials

In dieser Arbeit wurde eine neue Methode zur asymmetrischen Substitution der K-Regionen von Pyren entwickelt, auf welcher das Design und die Synthese von neuartigen, Pyren-basierten funktionalen Materialien beruht. Eine Vielzahl von Substitutionsmustern konnte erfolgreich realisiert werden um die Eigenschaften entsprechend dem Verwendungszweck anzupassen. Der polyzyklische aromatische Kohlenwasserstoff (PAK) Pyren setzt sich aus vier Benzolringen in Form einer planaren Raute mit zwei gegenüberliegenden K-Regionen zusammen. Der synthetische Schlüsselschritt dieser Arbeit ist die chemische Transformation der einen K-Region zu einem α-Diketon und der darauffolgenden selektiven Bromierung der zweiten K-Region. Dieser asymmetrisch funktionalisierte Baustein zeichnet sich durch zwei funktionelle Gruppen mit orthogonaler Reaktivität aus und erweitert dadurch das Arsenal der etablierten Pyren Chemie um eine vielseitig einsetzbare Methode. Aufbauend auf diesem synthetischen Zugang wurden fünf wesentliche Konzepte auf dem Weg zu neuen, von Pyren abgeleiteten Materialen verfolgt: (i) Asymmterische Substitution mit elektronenziehenden versus -schiebenden Gruppen. (ii) Darstellung von Pyrenocyaninen durch Anbindung von Pyren mit einer der K-Regionen an das Phthalocyanin Gerüst zur Ausdehnung des π-Systems. (iii) Einführung von Thiophen an die K-Region um halbleitende Eigenschaften zu erhalten. (iv) Symmetrische Annullierung von PAKs wie Benzodithiophen und Phenanthren an beide K Regionen für cove-reiche und dadurch nicht-planare Strukturen. (v) Verwendung des K-Region-funktionalisierten Pyrens als Synthesebaustein für das Peri-Pentacen. Neben der Synthese wurde die Selbstorganisation in der Festphase und an der flüssig/fest Grenzfläche mittels zweidimensionaler Weitwinkel-Röntgenstreuung (2D WAXS) bzw. Rastertunnelmikroskopie (STM) untersucht. Die halbleitenden Eigenschaften wurden in organischen Feld-Effekt Transistoren (OFETs) charakterisiert.

Radiation dose optimized lateral expansion of the field of view in synchrotron radiation X-ray tomographic microscopy

Volumetric data at micrometer level resolution can be acquired within a few minutes using synchrotron-radiation-based tomographic microscopy. The field of view along the rotation axis of the sample can easily be increased by stacking several tomograms, allowing the investigation of long and thin objects at high resolution. On the contrary, an extension of the field of view in the perpendicular direction is non-trivial. This paper presents an acquisition protocol which increases the field of view of the tomographic dataset perpendicular to its rotation axis. The acquisition protocol can be tuned as a function of the reconstruction quality and scanning time. Since the scanning time is proportional to the radiation dose imparted to the sample, this method can be used to increase the field of view of tomographic microscopy instruments while optimizing the radiation dose for radiation-sensitive samples and keeping the quality of the tomographic dataset on the required level. This approach, dubbed wide-field synchrotron radiation tomographic microscopy, can increase the lateral field of view up to five times. The method has been successfully applied for the three-dimensional imaging of entire rat lung acini with a diameter of 4.1 mm at a voxel size of 1.48 microm.

Anatomic study of the quadrigeminal cistern in patients with 3-dimensional magnetic resonance cisternography

The aim of this study was to demonstrate the anatomy of the quadrigeminal cistern, define the anatomic landmarks, and measure the extension of the cistern in the living by using magnetic resonance (MR) cisternography with 3-dimensional reconstruction.