991 resultados para Fractional-order calculus
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Purpose: Many retinal degenerations result from defective retina-specific gene expressions. Thus, it is important to understand how the expression of a photoreceptor-specific gene is regulated in vivo in order to achieve successful gene therapy. The present study aims to design an AAV2/8 vector that can regulate the transcript level in a physiological manner to replace missing PDE6b in Rd1 and Rd10 mice. In previous studies (Ogieta, et al., 2000), the short 5' flanking sequence of the human PDE6b gene (350 bp) was shown to be photoreceptor-specific in transgenic mice. However, the efficiency and specificity of the 5' flanking region of the human PDE6b was not investigated in the context of gene therapy during retinal degeneration. In this study, two different sequences of the 5' flanking region of the human PDE6b gene were studied as promoter elements and their expression will be tested in wild type and diseased retinas (Rd 10 mice).Methods: Two 5' flanking fragments of the human PDE6b gene: (-93 to +53 (150 bp) and -297 to +53 (350 bp)) were cloned in different plasmids in order to check their expression in vitro and in vivo by constructing an AAV2/8 vector. These elements drove the activity of either luciferase (pGL3 plasmids) or EGFP. jetPEI transfection in Y 79 cells was used to evaluate gene expression through luciferase activity. Constructs encoding EGFP under the control of the two promoters were performed in AAV2.1-93 (or 297)-EGFP plasmids to produce AAV2/8 vectors.Results: When pGL3-93 (150 bp) or pGL3-297 (350 bp) were transfected in the Y-79 cells, the smaller fragment (150 bp) showed higher gene expression compared to the 350 bp element and to the SV40 control, as previously reported. The 350 bp drove similar levels of expression when compared to the SV40 promoter. In view of these results, the fragments (150 bp or 350 bp) were integrated into the AAV2.1-EGFP plasmid to produce AAV2/8 vector, and we are currently evaluating the efficiency and specificity of the produced constructs in vivo in normal and diseased retinas.Conclusions: Comparisons of these vectors with vectors bearing ubiquitous promoters should reveal which construct is the most suitable to drive efficient and specific gene expression in diseased retinas in order to restore a normal function on the long term.
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We consider the asymptotic behaviour of the realized power variation of processes of the form ¿t0usdBHs, where BH is a fractional Brownian motion with Hurst parameter H E(0,1), and u is a process with finite q-variation, q<1/(1¿H). We establish the stable convergence of the corresponding fluctuations. These results provide new statistical tools to study and detect the long-memory effect and the Hurst parameter.
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In this note we prove an existence and uniqueness result for the solution of multidimensional stochastic delay differential equations with normal reflection. The equations are driven by a fractional Brownian motion with Hurst parameter H > 1/2. The stochastic integral with respect to the fractional Brownian motion is a pathwise Riemann¿Stieltjes integral.
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We consider the Cauchy problem for a stochastic delay differential equation driven by a fractional Brownian motion with Hurst parameter H>¿. We prove an existence and uniqueness result for this problem, when the coefficients are sufficiently regular. Furthermore, if the diffusion coefficient is bounded away from zero and the coefficients are smooth functions with bounded derivatives of all orders, we prove that the law of the solution admits a smooth density with respect to Lebesgue measure on R.
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We derive the chaotic expansion of the product of nth- and first-order multiple stochastic integrals with respect to certain normal martingales. This is done by application of the classical and quantum product formulae for multiple stochastic integrals. Our approach extends existing results on chaotic calculus for normal martingales and exhibits properties, relative to multiple stochastic integrals, polynomials and Wick products, that characterize the Wiener and Poisson processes.
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The Upper Limestone Member of the Corones Formation of the Spanish Pyrenees consists of various units (Lower and Upper Foraminifera Units, Shale Unit, Cherty-ostracode Unit, Ostracode Unit and Chara-ostracode Unit) and offers strong facies and lateral thickness (20 to 80 m) variations. Detailed facies analyses, fifth-order cycles and organic geochemical determinations in the central domain of the Corones platform carbonates (Cherty-ostracode Unit), lower Eocene in age, were carried out to establish a case of close relationship between variations in organic matter productivity and cyclicity with annual period. The Cherty-ostracode Unit displays a continuous and pervasive fifth-order cyclicity, represented by 5 cycles. Each cycle consists of a lower part (mollusc facies) and an upper part (laminated ostracode facies). The calculated fifth-order cycle period ranges from about 17,000 to 28,000 years, which falls within the Milankovitch Band. Variations in organic matter content related to these carbonate cycles have been established. The lower mollusc facies members show a low organic carbon content and Hydrogen Index (HI) below 0.6% in weight and 261, respectively. By contrast, the upper laminated ostracode facies members show high organic carbon contents (up to 2% in weight) and high HI (between 164 and 373), and are also characterized by important silicification processes (the content in chert is up to 30%). The organic geochemistry resulting from these organic rich levels reflects a contribution of algal marine input.
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In this order the governor declares that volunteerism is an integral part of Iowa's future and well-being and creates the Governor's Council on National Service in Iowa.
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In this order the governor declares that accountability, openness and transparency are essential to the efficient operation of state government and in the best interest of taxpayers as relates to personnel settlement agreements.
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The present study proposes a modification in one of the most frequently applied effect size procedures in single-case data analysis the percent of nonoverlapping data. In contrast to other techniques, the calculus and interpretation of this procedure is straightforward and it can be easily complemented by visual inspection of the graphed data. Although the percent of nonoverlapping data has been found to perform reasonably well in N = 1 data, the magnitude of effect estimates it yields can be distorted by trend and autocorrelation. Therefore, the data correction procedure focuses on removing the baseline trend from data prior to estimating the change produced in the behavior due to intervention. A simulation study is carried out in order to compare the original and the modified procedures in several experimental conditions. The results suggest that the new proposal is unaffected by trend and autocorrelation and can be used in case of unstable baselines and sequentially related measurements.
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Recent studies indicate that directional female mate choice and order-dependent female mate choice importantly contribute to non-random mating patterns. In species where females prefer larger sized males, disentangling different hypotheses leading to non-random mating patterns is especially difficult, given that male size usually correlates with behaviours that may lead to non-random mating (e.g. size-dependent emergence from hibernation, male fighting ability). Here we investigate female mate choice and order-dependent female mate choice in the polygynandrous common lizard (Lacerta vivipara). By sequentially presenting males in random order to females, we exclude non-random mating patterns potentially arising due to intra-sexual selection (e.g. male-male competition), trait-dependent encounter probabilities, trait-dependent conspicuousness, or trait-dependent emergence from hibernation. To test for order-dependent female mate choice we investigate whether the previous mating history affects female choice. We show that body size and body condition of the male with which a female mated for the first time were bigger and better, respectively, than the average body size and body condition of the rejected males. There was a negative correlation between body sizes of first and second copulating males. This indicates that female mate choice is dependent on the previous mating history and it shows that the female's choice criteria are non-static, i.e. non-directional. Our study therefore suggests that context-dependent female mate choice may not only arise due to genotype-environment interactions, but also due to other female mating strategies, i.e. order-dependent mate choice. Thus context-dependent female mate choice might be more frequent than previously thought.
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This study reassesses the development of compositional layering during the growth of granitic plutons, with emphasis on fractional crystallization and its interaction with both injection and inflation-related deformation. The Dolbel batholith (SW Niger) consists of 14, kilometre-sized plutons emplaced by pulsed magma inputs. Each pluton has a coarse-grained core and a peripheral layered series. Rocks consist of albite (An(<= 11)), K-feldspar (Or(96 99), Ab(1) (4)), quartz, edenite (X(Mg)=0337-0.55), augite (X(Mg)=0.65-0.72) and accessories (apatite, titanite and Fe-Ti-oxides). Whole-rock compositions are metaluminous, sodic (K(2)O/Na(2)O=0.49-0.62) and iron-rich [FeO(tot)/(FeO(tot)+MgO)=0.65-0.82]. The layering is present as size-graded and modally graded, sub-vertical, rhythmic units. Each unit is composed of three layers, which are, towards the interior: edenite +/- plagioclase (C(a/p)), edenite+plagioclase+augite+quartz (C(q)), and edenite+plagioclase+augite+quartz+K-feldspar (C(k)). All phases except quartz show zoned microstructures consisting of external intercumulus overgrowths, a central section showing oscillatory zoning and, in the case of amphibole and titanite, complexly zoned cores. Ba and Sr contents of feldspars decrease towards the rims. Plagioclase crystal size distributions are similar in all units, suggesting that each unit experienced a similar thermal history. Edenite, characteristic of the basal C(a/p) layer, is the earliest phase to crystallize. Microtextures and phase diagrams suggest that edenite cores may have been brought up with magma batches at the site of emplacement and mechanically segregated along the crystallized wall, whereas outer zones of the same crystals formed in situ. The subsequent C(q) layers correspond to cotectic compositions in the Qz-Ab-Or phase diagram at P(H2O)=5 kbar. Each rhythmic unit may therefore correspond to a magma batch and their repetition to crystallization of recurrent magma recharges. Microtextures and chemical variations in major phases allow four main crystallization stages to be distinguished: (1) open-system crystallization in a stirred magma during magma emplacement, involving dissolution and overgrowth (core of edenite and titanite crystals); (2) in situ fractional crystallization in boundary layers (C(a/p) and C(q) layers); (3) equilibrium `en masse' eutectic crystallization (C(k) layers); (4) compaction and crystallization of the interstitial liquid in a highly crystallized mush (e. g. feldspar intercumulus overgrowths). It is concluded that the formation of the layered series in the Dolbel plutons corresponds principally to in situ differentiation of successive magma batches. The variable thickness of the Ck layers and the microtextures show that crystallization of a rhythmic unit stops and it is compacted when a new magma batch is injected into the chamber. Therefore, assembly of pulsed magma injections and fractional crystallization are independent, but complementary, processes during pluton construction.
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In this order the governor declares that the recently elected Constitution of Iowa is the supreme law of the State of Iowa.
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What is the use of representing in performance the image of the cave from book VII of Plato’s Republic? Josep Palau i Fabre considers that in Plato’s dialogues the speakers are mere instruments at the service of his dialectical purpose. The aim of this article is to show how, by turning the myth into a tragedy and relying on Heraclitus’s conflict or war of opposites, the playwright succeeds in favouring a sort of thought which is not one-sided or univocal. On the contrary, in Palau i Fabre’s La Caverna, the tragic hero, the released prisoner transformed by the light of Reality and finally killed by his “cavemates” –after having been imprisoned again and having tried to rescue them from their ignorance or shadows– still leaves them his powerful experience of the agonistikós thought, which might bear fruit in their life to come.