On negative flows of the AKNS hierarchy and a class of deformations of a bihamiltonian structure of hydrodynamic type

A deformation parameter of a bihamiltonian structure of hydrodynamic type is shown to parametrize different extensions of the AKNS hierarchy to include negative flows. This construction establishes a purely algebraic link between, on the one hand, two realizations of the first negative flow of the AKNS model and, on the other, two-component generalizations of Camassa-Holmand Dym-type equations. The two-component generalizations of Camassa-Holm- and Dym-type equations can be obtained from the negative-order Hamiltonians constructed from the Lenard relations recursively applied on the Casimir of the first Poisson bracket of hydrodynamic type. The positive-order Hamiltonians, which follow froth the Lenard scheme applied on the Casimir of the second Poisson bracket of hydrodynamic type, are shown to coincide with the Hamiltonians of the AKNS model. The AKNS Hamiltonians give rise to charges conserved with respect to equations of motion of two-component Camassa-Holm- and two-component Dym-type equations.

Hierarchy and anarchy in quark mass matrices, or can hierarchy tolerate anarchy?

The consequences of adding random perturbations (anarchy) to a baseline hierarchical model of quark masses and mixings are explored. Even small perturbations of the order of 5% of the smallest non-zero element can already give deviations significantly affecting parameters of the Cabibbo-Kobayashi-Maskawa (CKM) matrix, so any process generating the anarchy should in general be limited to this order of magnitude. The regularities of quark masses and mixings thus appear to be far from a generic feature of randomness in the mass matrices, and more likely indicate an underlying order. (C) 2001 Published by Elsevier B.V. B.V.

The higher grading structure of the WKI hierarchy and the two-component short pulse equation

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Negative even grade mKdV hierarchy and its soliton solutions

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Nonvanishing boundary condition for the mKdV hierarchy and the Gardner equation

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Negative Even Grade mKdV Hierarchy and its Soliton Solutions

In this paper we discuss the algebraic construction of the mKdV hierarchy in terms of an affine Lie algebra (s) over capl(2). An interesting novelty araises from the negative even grade sector of the affine algebra leading to nonlinear integro-differential equations admiting non-trivial vacuum configuration. These solitons solutions are constructed systematically from generalization of the dressing method based on non zero vacua. The sub-hierarchies admiting such class of solutions are classified.

BERRY PHASE, AHARONOV-BOHM EFFECT AND TOPOLOGY

The Berry phase for an electron in a one-dimensional box rotated around a magnetic flux line has contributions from the geometry and the magnetic flux, which gives an Aharonov-Bohm effect. For a circular box enclosing the magnetic flux, the Berry phase depends on the boundary conditions.

The Korteweg-de Vries hierarchy and long water-waves

By using the multiple scale method with the simultaneous introduction of multiple times, we study the propagation of long surface-waves in a shallow inviscid fluid. As a consequence of the requirements of scale invariance and absence of secular terms in each order of the perturbative expansion, we show that the Korteweg-de Vries hierarchy equations do play a role in the description of such waves. Finally, we show that this procedure of eliminating secularities is closely related to the renormalization technique introduced by Kodama and Taniuti. © 1995 American Institute of Physics.

On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation?

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

On the mKdV-Liouville hierarchy and its self-similarity reduction

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Numeric reconstruction of cytoskeleton with finite element method and topology optimization method

The importance of mechanical aspects related to cell activity and its environment is becoming more evident due to their influence in stem cell differentiation and in the development of diseases such as atherosclerosis. The mechanical tension homeostasis is related to normal tissue behavior and its lack may be related to the formation of cancer, which shows a higher mechanical tension. Due to the complexity of cellular activity, the application of simplified models may elucidate which factors are really essential and which have a marginal effect. The development of a systematic method to reconstruct the elements involved in the perception of mechanical aspects by the cell may accelerate substantially the validation of these models. This work proposes the development of a routine capable of reconstructing the topology of focal adhesions and the actomyosin portion of the cytoskeleton from the displacement field generated by the cell on a flexible substrate. Another way to think of this problem is to develop an algorithm to reconstruct the forces applied by the cell from the measurements of the substrate displacement, which would be characterized as an inverse problem. For these kind of problems, the Topology Optimization Method (TOM) is suitable to find a solution. TOM is consisted of an iterative application of an optimization method and an analysis method to obtain an optimal distribution of material in a fixed domain. One way to experimentally obtain the substrate displacement is through Traction Force Microscopy (TFM), which also provides the forces applied by the cell. Along with systematically generating the distributions of focal adhesion and actin-myosin for the validation of simplified models, the algorithm also represents a complementary and more phenomenological approach to TFM. As a first approximation, actin fibers and flexible substrate are represented through two-dimensional linear Finite Element Method. Actin contraction is modeled as an initial stress of the FEM elements. Focal adhesions connecting actin and substrate are represented by springs. The algorithm was applied to data obtained from experiments regarding cytoskeletal prestress and micropatterning, comparing the numerical results to the experimental ones

Memory hierarchy and data communication in heterogeneous reconfigurable SoCs

The miniaturization race in the hardware industry aiming at continuous increasing of transistor density on a die does not bring respective application performance improvements any more. One of the most promising alternatives is to exploit a heterogeneous nature of common applications in hardware. Supported by reconfigurable computation, which has already proved its efficiency in accelerating data intensive applications, this concept promises a breakthrough in contemporary technology development. Memory organization in such heterogeneous reconfigurable architectures becomes very critical. Two primary aspects introduce a sophisticated trade-off. On the one hand, a memory subsystem should provide well organized distributed data structure and guarantee the required data bandwidth. On the other hand, it should hide the heterogeneous hardware structure from the end-user, in order to support feasible high-level programmability of the system. This thesis work explores the heterogeneous reconfigurable hardware architectures and presents possible solutions to cope the problem of memory organization and data structure. By the example of the MORPHEUS heterogeneous platform, the discussion follows the complete design cycle, starting from decision making and justification, until hardware realization. Particular emphasis is made on the methods to support high system performance, meet application requirements, and provide a user-friendly programmer interface. As a result, the research introduces a complete heterogeneous platform enhanced with a hierarchical memory organization, which copes with its task by means of separating computation from communication, providing reconfigurable engines with computation and configuration data, and unification of heterogeneous computational devices using local storage buffers. It is distinguished from the related solutions by distributed data-flow organization, specifically engineered mechanisms to operate with data on local domains, particular communication infrastructure based on Network-on-Chip, and thorough methods to prevent computation and communication stalls. In addition, a novel advanced technique to accelerate memory access was developed and implemented.

The C-4-Dicarboxylate carriers DcuB and DctA of Escherichia coli: function as cosensors and topology

Das fakultativ anaerobe Enterobakterium Escherichia coli nutzt C4-Dicarboxylate sowohl unter aeroben als auch anaeroben Bedingungen als Kohlenstoff- und Energiequelle. Die Aufnahme der C4-Dicarboxylaten und die Energiekonservierung mittels Fumaratatmung wird durch das Zweikomponentensystem DcuSR reguliert. Die Sensorhistidinkinase DcuS und der nachgeschaltete Responseregulator DcuR aktivieren bei Verfügbarkeit von C4-Dicarboxylaten die Expression der Gene für den Succinat Transporter DctA, den anaeroben Fumarat/Succinat Antiporter DcuB, die Fumarase B sowie die Fumaratreduktase FrdABCD. Die Transportproteine DctA und DcuB wiederum regulieren die Expression der DcuSR-abhängigen Gene negativ. Fehlen von DctA oder DcuB resultiert bereits ohne Effektor in einer maximalen Expression von dctA bzw. dcuB. Durch gerichtete und ungerichtete Mutagenese wurde gezeigt, dass die Transportfunktion des Carriers DcuB unabhängig von seiner regulatorischen Funktion ist. DcuB kann daher als Cosensor des DcuSR Systems angesehen werden.rnUnter Verwendung von Reportergenfusionen von C-terminal verkürzten Konstrukten von DcuB mit der Alkalischen Phosphatase und der β-Galactosidase wurde die Topologie des Multitransmembranproteins DcuB bestimmt. Zusätzlich wurde die Zugänglichkeit bestimmter Aminosäurereste durch chemische Modifikation mit membran-durchlässigen und membran-undurchlässigen Thiolreagenzien untersucht. Die erhaltenen Ergebnisse deuten auf die Existenz eines tief in die Membran reichenden, hydrophilen Kanal hin, welcher zum Periplasma hin geöffnet ist. Mit Hilfe der Topologie-Studien, des Hydropathie-Blots und der Sekundärstruktur-Vorhersage wurde ein Modell des Carriers erstellt. DcuB besitzt kurze, periplasmatisch liegende Proteinenden, die durch 12 Transmembranhelices und zwei große hydrophile Schleifen jeweils zwischen TM VII/VIII und TM XI/XII verbunden sind. Die regulatorisch relevanten Reste K353, T396 und D398 befinden sich innerhalb von TM XI sowie auf der angrenzenden cytoplasmatischen Schleife XI-XII. Unter Berücksichtigung der strukturellen und funktionellen Aspekte wurde ein Regulationsmodell erstellt, welches die gemeinsam durch DcuB und DcuS kontrollierte C4-Dicarboxylat-abhängige Genexpression darstellt. rnDer Effekt von DctA und DcuSR auf die Expression einer dctA´-´lacZ Reportergenfusion und auf die aerobe C4-Dicarboxylat-Aufnahme wurde untersucht. In-vivo FRET-Messungen weisen auf eine direkte Wechselwirkung zwischen dem Carrier DctA und dem Sensor DcuS hin. Dieses Ergebnis stützt die Theorie der Regulation von DcuS durch C4-Dicarboxylate und durch die Cosensoren DctA bzw. DcuB mittels direkter Protein-Protein Interaktion.rn