952 resultados para Basic Analogue of the Bessel Function
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Vicarious trial-and-error (VTE) is a term that Muenzinger and Tolman used to describe the rat's conflict-like behavior before responding to choice. Recently, VTE was proposed as a mechanism alternative to the concept of "cognitive map" in accounts of hippocampal function. That is, many phenomena of impaired learning and memory related to hippocampal interventions may be explained by behavioral first principles: reduced conflicting, incipient, pre-choice tendencies to approach and avoid. The nonspatial black-white discrimination learning and VTE behavior of the rat were investigated. Hippocampal-lesioned and sham-lesioned animals were trained for 25 days (20 trials per day) starting at 60 days of age. Each movement of the head from one discriminative stimulus to the other was counted as a VTE instance. Lesioned rats had fewer VTEs than sham controls, and the former learned much more slowly or never learned. After learning, VTE frequency declined. Male and female rats showed no significant differences in VTE behavior or discrimination learning.
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Polyamide ("peptide") nucleic acids (PNAs) are molecules with antigene and antisense effects that may prove to be effective neuropharmaceuticals if these molecules are enabled to undergo transport through the brain capillary endothelial wall, which makes up the blood-brain barrier in vivo. The model PNA used in the present studies is an 18-mer that is antisense to the rev gene of human immunodeficiency virus type 1 and is biotinylated at the amino terminus and iodinated at a tyrosine residue near the carboxyl terminus. The biotinylated PNA was linked to a conjugate of streptavidin (SA) and the OX26 murine monoclonal antibody to the rat transferrin receptor. The blood-brain barrier is endowed with high transferrin receptor concentrations, enabling the OX26-SA conjugate to deliver the biotinylated PNA to the brain. Although the brain uptake of the free PNA was negligible following intravenous administration, the brain uptake of the PNA was increased at least 28-fold when the PNA was bound to the OX26-SA vector. The brain uptake of the PNA bound to the OX26-SA vector was 0.1% of the injected dose per gram of brain at 60 min after an intravenous injection, approximating the brain uptake of intravenously injected morphine. The PNA bound to the OX26-SA vector retained the ability to bind to synthetic rev mRNA as shown by RNase protection assays. In summary, the present studies show that while the transport of PNAs across the blood-brain barrier is negligible, delivery of these potential neuropharmaceutical drugs to the brain may be achieved by coupling them to vector-mediated peptide-drug delivery systems.
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The alpha-crystallin-related heat shock proteins are produced by all eukaryotes, but the role of these proteins in thermoprotection remains unclear. To investigate the function of one of these proteins, we disrupted expression of the single-copy hsp30 gene of Neurospora crassa, using repeat-induced point mutagenesis, and we generated and characterized mutant strains that were deficient in hsp30 synthesis. These strains could grow at high temperature and they acquired thermotolerance from a heat shock. However, the hsp30-defective strains proved to be extremely sensitive to the combined stresses of high temperature and carbohydrate limitation, enforced by the addition of a nonmetabolizable glucose analogue. Under these conditions, their survival was reduced by 90% compared with wild-type cells. This sensitive phenotype was reversed by reintroduction of a functional hsp30 gene into the mutant strains. The mutant cells contained mitochondria from which a 22-kDa protein was readily extracted with detergents, in contrast to its retention by the mitochondria of wild-type cells. Antibodies against hsp30 coimmunoprecipitated a protein also of approximately 22 kDa from wild-type cells. Results of this study suggest that hsp30 may be important for efficient carbohydrate utilization during high temperature stress and that it may interact with other mitochondrial membrane proteins and function as a protein chaperone.
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Microbial elicitors or attempted infection with an avirulent pathogen strain causes the rapid production of reactive oxygen intermediates. Recent findings indicate that H2O2 from this oxidative burst plays a central role in the orchestration of the hypersensitive response: (i) as the substrate driving the cross-linking of cell wall structural proteins to slow microbial ingress prior to the deployment of transcription-dependent defenses and to trap pathogens in cells destined to undergo hypersensitive cell death, (ii) as a local threshold trigger of this programmed death in challenged cells, and (iii) as a diffusible signal for the induction in adjacent cells of genes encoding cellular protectants such as glutathione S-transferase and glutathione peroxidase. These findings provide the basis for an integrated model for the orchestration of the localized hypersensitive resistance response to attack by an avirulent pathogen.
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To investigate the functions of paralogous Hox genes, we compared the phenotypic consequences of altering the embryonic patterns of expression of Hoxb-8 and Hoxc-8 in transgenic mice. A comparison of the phenotypic consequences of altered expression of the two paralogs in the axial skeletons of newborns revealed an array of common transformations as well as morphological changes unique to each gene. Divergence of function of the two paralogs was clearly evident in costal derivatives, where increased expression of the two genes affected opposite ends of the ribs. Many of the morphological consequences of expanding the mesodermal domain and magnitude of expression of either gene were atavistic, inducing the transformation of axial skeletal structures from a modern to an earlier evolutionary form. We propose that regional specialization of the vertebral column has been driven by regionalization of Hox gene function and that a major aspect of this evolutionary progression may have been restriction of Hox gene expression.
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Signals transduced by the met tyrosine kinase, which is the receptor for scatter factor/hepatocyte growth factor, are of major importance for the regulation of epithelial cell motility, morphogenesis, and proliferation. We report here that different sets of tyrosine residues in the cytoplasmic domain of the met receptor affect signal transduction in epithelial cells in a positive or negative fashion: mutation of the C-terminal tyrosine residues 13-16 (Y1311, Y1347, Y1354, and Y1363) reduced or abolished ligand-induced cell motility and branching morphogenesis. In contrast, mutation of the juxtamembrane tyrosine residue 2 (Y1001) produced constitutively mobile, fibroblastoid cells. Furthermore, the gain-of-function mutation of tyrosine residue 2 suppressed the loss-of-function mutations of tyrosine residue 15 or 16. The opposite roles of the juxtamembrane and C-terminal tyrosine residues may explain the suggested dual function of the met receptor in both epithelial-mesenchymal interactions and tumor progression.
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The thesis of this dissertation is that the Descent/Ascent Leitmotif, which includes the language of not only descending and ascending, but also going, coming, and being sent, performs a significant literary and christological function in the Gospel of John. The Evangelist's Descent/Ascent Leitmotif becomes the Gospel's organizing principal, drawing together a constellation of verbs and a number of themes, including Jesus-Son's origin, identity, relationship to God, authority, signs and works, life, and glory. In the introductory chapter, after providing a layout of the dissertation, the discussion turns to the spacial dimensions and christological importance of the vertical and horizontal depictions of the descending, ascending, coming, going, and being sent verbs. The focus of chapter two is to explain and illustrate, using a version of the Cinderella story, a method that serves to identify the Leitmotif and the verbs, motifs, and themes the Leitmotif draws within its constellation. This approach, titled a thematic structural method, integrates works from thematic scholars Horst Daemmrich and Eugene Falk with works from literary structural scholars A. J Greimas and Roland Barthes, and is a tool to analyze the influence of the Leitmotif as the Gospel's organizing principal on the relationships between the Leitmotif and numerous themes from which John's Christology emerges. The task of chapter three is to explain the rationale for the selection of the Leitmotif's verbs of descending, ascending, coming, going, and being sent. Chapters four and five investigate how the Evangelist, with the repetition of the Leitmotif, constructs his narrative to tell the story of the historical Jesus and shape the Evangelist's Christology. Additionally, the focus is to analyze the transforming influences of the Descent/Ascent Leitmotif on the themes of Jesus-Son's origin, identity, relationship to the Father, and authority, through his signs and works, life, and glory. The Descent/Ascent Leitmotif depicts a divine round trip, and the emphasis of chapter six is to examine the role of the Leitmotif in Jesus-Son's departure from the world and return to God. The Evangelist's use of the Leitmotif in Jesus' prayer to the Father (John 17) and the promise of the Paraclete are included in this chapter. Due to the Descent/Ascent Leitmotif's inherent spatial overtones, elements related to Jesus' return, including heaven, world, the hour, and his form after his resurrection, are explored from a cosmological and ontological perspective.
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In this paper, we prove that infinite-dimensional vector spaces of α-dense curves are generated by means of the functional equations f(x)+f(2x)+⋯+f(nx)=0, with n≥2, which are related to the partial sums of the Riemann zeta function. These curves α-densify a large class of compact sets of the plane for arbitrary small α, extending the known result that this holds for the cases n=2,3. Finally, we prove the existence of a family of solutions of such functional equation which has the property of quadrature in the compact that densifies, that is, the product of the length of the curve by the nth power of the density approaches the Jordan content of the compact set which the curve densifies.
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This paper proves that every zero of any n th , n ≥ 2, partial sum of the Riemann zeta function provides a vector space of basic solutions of the functional equation f(x)+f(2x)+⋯+f(nx)=0,x∈R . The continuity of the solutions depends on the sign of the real part of each zero.
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13th Mediterranean Congress of Chemical Engineering (Sociedad Española de Química Industrial e Ingeniería Química, Fira Barcelona, Expoquimia), Barcelona, September 30-October 3, 2014
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This paper proves that the real projection of each simple zero of any partial sum of the Riemann zeta function ζn(s):=∑nk=11ks,n>2 , is an accumulation point of the set {Res : ζ n (s) = 0}.
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In this paper, we introduce a formula for the exact number of zeros of every partial sum of the Riemann zeta function inside infinitely many rectangles of the critical strips where they are situated.
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The aim of this study is to characterise students’ understanding of the function-derivative relationship when learning economic concepts. To this end, we use a fuzzy metric (Chang 1968) to identify the development of economic concept understanding that is defined by the function-derivative relationship. The results indicate that the understanding of these economic concepts is linked to students’ capacity to perform conversions and treatments between the algebraic and graphic registers of the function-derivative relationship when extracting the economic meaning of concavity/convexity in graphs of functions using the second derivative.
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v.33:no.2(1974)