On Degeneracy of Linear Reconstruction from Three Views: Linear Line Complex and Applications

This paper investigates the linear degeneracies of projective structure estimation from point and line features across three views. We show that the rank of the linear system of equations for recovering the trilinear tensor of three views reduces to 23 (instead of 26) in the case when the scene is a Linear Line Complex (set of lines in space intersecting at a common line) and is 21 when the scene is planar. The LLC situation is only linearly degenerate, and we show that one can obtain a unique solution when the admissibility constraints of the tensor are accounted for. The line configuration described by an LLC, rather than being some obscure case, is in fact quite typical. It includes, as a particular example, the case of a camera moving down a hallway in an office environment or down an urban street. Furthermore, an LLC situation may occur as an artifact such as in direct estimation from spatio-temporal derivatives of image brightness. Therefore, an investigation into degeneracies and their remedy is important also in practice.

Septin C-Terminal Domain Interactions: Implications for Filament Stability and Assembly

Septins form a conserved family of filament forming GTP binding proteins found in a wide range of eukaryotic cells. They share a common structural architecture consisting of an N-terminal domain, a central GTP binding domain and a C-terminal domain, which is often predicted to adopt a coiled-coil conformation, at least in part. The crystal structure of the human SEPT2/SEPT6/SEPT7 heterocomplex has revealed the importance of the GTP binding domain in filament formation, but surprisingly no electron density was observed for the C-terminal domains and their function remains obscure. The dearth of structural information concerning the C-terminal region has motivated the present study in which the putative C-terminal domains of human SEPT2, SEPT6 and SEPT7 were expressed in E. coli and purified to homogeneity. The thermal stability and secondary structure content of the domains were studied by circular dichroism spectroscopy, and homo- and hetero-interactions were investigated by size exclusion chromatography, chemical cross-linking, analytical ultracentrifugation and surface plasmon resonance. Our results show that SEPT6-C and SEPT7-C are able to form both homo- and heterodimers with a high alpha-helical content in solution. The heterodimer is elongated and considerably more stable than the homodimers, with a K (D) of 15.8 nM. On the other hand, the homodimer SEPT2-C has a much lower affinity, with a K (D) of 4 mu M, and a moderate alpha-helical content. Our findings present the first direct experimental evidence toward better understanding the biophysical properties and coiled-coil pairings of such domains and their potential role in filament assembly and stability.

A Solver for Complex-Valued Parametric Linear Systems

This work reports on a new software for solving linear systems involving affine-linear dependencies between complex-valued interval parameters. We discuss the implementation of a parametric residual iteration for linear interval systems by advanced communication between the system Mathematica and the library C-XSC supporting rigorous complex interval arithmetic. An example of AC electrical circuit illustrates the use of the presented software.

On the maximal rate of non-square STBCs from complex orthogonal designs

A Linear Processing Complex Orthogonal Design (LPCOD) is a p x n matrix epsilon, (p >= n) in k complex indeterminates x(1), x(2),..., x(k) such that (i) the entries of epsilon are complex linear combinations of 0, +/- x(i), i = 1,..., k and their conjugates, (ii) epsilon(H)epsilon = D, where epsilon(H) is the Hermitian (conjugate transpose) of epsilon and D is a diagonal matrix with the (i, i)-th diagonal element of the form l(1)((i))vertical bar x(1)vertical bar(2) + l(2)((i))vertical bar x(2)vertical bar(2)+...+ l(k)((i))vertical bar x(k)vertical bar(2) where l(j)((i)), i = 1, 2,..., n, j = 1, 2,...,k are strictly positive real numbers and the condition l(1)((i)) = l(2)((i)) = ... = l(k)((i)), called the equal-weights condition, holds for all values of i. For square designs it is known. that whenever a LPCOD exists without the equal-weights condition satisfied then there exists another LPCOD with identical parameters with l(1)((i)) = l(2)((i)) = ... = l(k)((i)) = 1. This implies that the maximum possible rate for square LPCODs without the equal-weights condition is the same as that or square LPCODs with equal-weights condition. In this paper, this result is extended to a subclass of non-square LPCODs. It is shown that, a set of sufficient conditions is identified such that whenever a non-square (p > n) LPCOD satisfies these sufficient conditions and do not satisfy the equal-weights condition, then there exists another LPCOD with the same parameters n, k and p in the same complex indeterminates with l(1)((i)) = l(2)((i)) = ... = l(k)((i)) = 1.

Fractional dynamics of a system with particles subjected to impacts

This paper studies the dynamics of a system composed of a collection of particles that exhibit collisions between them. Several entropy measures and different impact conditions of the particles are tested. The results reveal a Power Law evolution both of the system energy and the entropy measures, typical in systems having fractional dynamics.

Um algoritmo genético especializado aplicado ao planejamento da expansão do sistema de transmissão com alocação de dispositivos de compensação série

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Uma análise do grau comparativo nos materiais didáticos de língua inglesa via teoria das operações predicativas e enunciativas

Pós-graduação em Linguística e Língua Portuguesa - FCLAR

The dengue virus non-structural 1 protein: risks and benefits

The dengue virus (DENV) non-structural 1 (NS1) protein plays a critical role in viral RNA replication and has a central position in DENV pathogenesis. DENV NS1 is a glycoprotein expressed in infected mammalian cells as soluble monomers that dimerize in the lumen of the endoplasmic reticulum; NS1 is subsequently transported to the cell surface, where it remains membrane associated or is secreted into the extracellular milieu as a hexameric complex. During the last three decades, the DENV NS1 protein has also been intensively investigated as a potential target for vaccines and antiviral drugs. In addition, NS1 is the major diagnostic marker for dengue infection. This review highlights some important issues regarding the role of NS1 in DENV pathogenesis and its biotechnological applications, both as a target for the development of safe and effective vaccines and antiviral drugs and as a tool for the generation of accurate diagnostic methods

Self-assembly of a heteroduplex helicate from two different ligand strands and Cu(II) cations.

Cu(II) ions have been reacted with a 1/1 mixture of two linear ligands, one containing three 2,2'- bipyridine groups and the other three 2,2':6',2"-terpyridine groups. Absorption spectroscopy and fast atom bombardment mass spectrometry indicate the formation of a trinuclear complex containing one ligand of each kind. Determination of the crystal structure of this compound has confirmed that it is indeed a linear trinuclear complex in which two different ligands are wrapped in a helical fashion around the pentacoordinated metal ions. The central coordination geometry is trigonal bipyramidal; the two lateral Cu(II) ions are in a square pyramidal environment. Thus, a heteroduplex helicate is formed by the self-assembly of two different ligand strands and three specific metal ions induced by the coordination number and geometry of the latter. The self-assembly process may be considered to result from the reading of the steric and binding information present in the two ligands by Cu(II) ions through a pentacoordination algorithm. The same ligands have been shown earlier to yield homoduplex helicates from ions of tetrahedral and octahedral coordination geometry and strands of bidentate bipyridines and tridentate terpyridines, respectively. These two types of artificial double helical species may be related on one hand to the natural homoduplex nucleic acids and on the other hand to the DNA:RNA heteroduplex.

Reflections on the centrality of power in medical sociology: an empirical test and theoretical elaboration

This paper explores the contemporary relevance of sociological theorisations centred on medical power, including the medical dominance and deprofessionalisation theses. To achieve this it examines two issues that have been tentatively linked to the relative decline of the power and autonomy of biomedicine - complementary and alternative medicine (CAM) and the Internet-informed patient. Drawing on these two different but interconnected social phenomena, this paper reflects on the potential limitations of power-based theorisations of the medical profession and its relationship to patients and other non-biomedically situated professional groups. It is argued that power-based conceptual schemas may not adequately reflect the non-linear and complex strategic adaptations that are occurring among professional groups.

Applications of Reissner's principle to structural dynamics

The analysis and prediction of the dynamic behaviour of s7ructural components plays an important role in modern engineering design. :n this work, the so-called "mixed" finite element models based on Reissnen's variational principle are applied to the solution of free and forced vibration problems, for beam and :late structures. The mixed beam models are obtained by using elements of various shape functions ranging from simple linear to complex cubic and quadratic functions. The elements were in general capable of predicting the natural frequencies and dynamic responses with good accuracy. An isoparametric quadrilateral element with 8-nodes was developed for application to thin plate problems. The element has 32 degrees of freedom (one deflection, two bending and one twisting moment per node) which is suitable for discretization of plates with arbitrary geometry. A linear isoparametric element and two non-conforming displacement elements (4-node and 8-node quadrilateral) were extended to the solution of dynamic problems. An auto-mesh generation program was used to facilitate the preparation of input data required by the 8-node quadrilateral elements of mixed and displacement type. Numerical examples were solved using both the mixed beam and plate elements for predicting a structure's natural frequencies and dynamic response to a variety of forcing functions. The solutions were compared with the available analytical and displacement model solutions. The mixed elements developed have been found to have significant advantages over the conventional displacement elements in the solution of plate type problems. A dramatic saving in computational time is possible without any loss in solution accuracy. With beam type problems, there appears to be no significant advantages in using mixed models.

Neurodegeneration and the m-AAA protease: pathogenic cascades in neurons and myelinating cells

The m-AAA protease is a hexameric complex involved in processing of specific substrates and turnover of misfolded polypeptides in the mitochondrial inner membrane. In humans, the m-AAA protease is composed of AFG3L2 and paraplegin. Mutations in AFG3L2 have been implicated in dominant spinocerebellar ataxia (SCA28) and recessive spastic ataxia-neuropathy syndrome (SPAX5). Mutations of SPG7, encoding paraplegin, are linked to hereditary spastic paraplegia. In the mouse, a third subunit AFG3L1 is expressed. Various mouse models recapitulate the phenotype of these neurodegenerative disorders, however, the pathogenic mechanism of neurodegeneration is not completely understood. Here, we studied several mouse models and focused on cell-autonomous role of the m-AAA protease in neurons and myelinating cells. We show that lack of Afg3l2 triggers mitochondrial fragmentation and swelling, tau hyperphosphorylation and pathology in Afg3l2 full-body and forebrain neuron-specific knockout mice. Moreover, deletion of Afg3l2 in adult myelinating cells causes early-onset mitochondrial abnormalities as in the neurons, but the survival of these cells is not affected, which is a contrast to early neuronal death. Despite the fact that myelinating cells have been previously shown to survive respiratory deficiency by glycolysis, total ablation of the m-AAA protease by deleting Afg3l2 in an Afg3l1 null background (DKO), leads to myelinating cell demise and subsequently progressive axonal demyelination. Interestingly, DKO mice show premature hair greying due to loss of melanoblasts. Together, our data demonstrate cell-autonomous survival thresholds to m-AAA protease deficiency, and an essential role of the m-AAA protease to prevent cell death independent from mitochondrial dynamics and the oxidative capacity of the cell. Thus, our findings provide novel insights to the pathogenesis of diseases linked to m-AAA protease deficiency, and also establish valuable mitochondrial dysfunctional mouse models to study other neurodegenerative diseases, such as tauopathies and demyelinating diseases.

Capturing complex, non-linear team behaviours during competitive football performance

This study investigated changes in the complexity (magnitude and structure of variability) of the collective behaviours of association football teams during competitive performance. Raw positional data from an entire competitive match between two professional teams were obtained with the ProZone® tracking system. Five compound positional variables were used to investigate the collective patterns of performance of each team including: surface area, stretch index, team length, team width, and geometrical centre. Analyses involve the coefficient of variation (%CV) and approximate entropy (ApEn), as well as the linear association between both parameters. Collective measures successfully captured the idiosyncratic behaviours of each team and their variations across the six time periods of the match. Key events such as goals scored and game breaks (such as half time and full time) seemed to influence the collective patterns of performance. While ApEn values significantly decreased during each half, the %CV increased. Teams seem to become more regular and predictable, but with increased magnitudes of variation in their organisational shape over the natural course of a match.

Does linear separability really matter? Complex visual search is explained by simple search

Visual search in real life involves complex displays with a target among multiple types of distracters, but in the laboratory, it is often tested using simple displays with identical distracters. Can complex search be understood in terms of simple searches? This link may not be straightforward if complex search has emergent properties. One such property is linear separability, whereby search is hard when a target cannot be separated from its distracters using a single linear boundary. However, evidence in favor of linear separability is based on testing stimulus configurations in an external parametric space that need not be related to their true perceptual representation. We therefore set out to assess whether linear separability influences complex search at all. Our null hypothesis was that complex search performance depends only on classical factors such as target-distracter similarity and distracter homogeneity, which we measured using simple searches. Across three experiments involving a variety of artificial and natural objects, differences between linearly separable and nonseparable searches were explained using target-distracter similarity and distracter heterogeneity. Further, simple searches accurately predicted complex search regardless of linear separability (r = 0.91). Our results show that complex search is explained by simple search, refuting the widely held belief that linear separability influences visual search.