935 resultados para Non-autonomous difference equations
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Schedule for vaccination against HBV infection has usually been based on three separate injections of 20 meg of the vaccine by intramuscular route. One of the main shortcomings to its use in large scale programs has been its high cost. Ninety out of 300 health workers were submitted to three injections of 2 meg of plasma-derived vaccine (PDV) by intradermal (ID) route on days 0, 30, and 180. Anti-HBs was detected in 74 (82.2%) after the second dose and in 80 (88.9%) after the third dose, a non-significant difference. However, levels above 10 times the cut-off were observed in 29 (32.2%) and 77 (85.5%), respectively (p < 0.001). The results showed that a low-dose schedule is effective when used in health workers and should be tried with other risk groups.
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Volatile organic compounds are a common source of groundwater contamination that can be easily removed by air stripping in columns with random packing and using a counter-current flow between the phases. This work proposes a new methodology for the column design for any particular type of packing and contaminant avoiding the necessity of a pre-defined diameter used in the classical approach. It also renders unnecessary the employment of the graphical Eckert generalized correlation for pressure drop estimates. The hydraulic features are previously chosen as a project criterion and only afterwards the mass transfer phenomena are incorporated, in opposition to conventional approach. The design procedure was translated into a convenient algorithm using C++ as programming language. A column was built in order to test the models used either in the design or in the simulation of the column performance. The experiments were fulfilled using a solution of chloroform in distilled water. Another model was built to simulate the operational performance of the column, both in steady state and in transient conditions. It consists in a system of two partial non linear differential equations (distributed parameters). Nevertheless, when flows are steady, the system became linear, although there is not an evident solution in analytical terms. In steady state the resulting system of ODE can be solved, allowing for the calculation of the concentration profile in both phases inside the column. In transient state the system of PDE was numerically solved by finite differences, after a previous linearization.
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Volatile organic compounds are a common source of groundwater contamination that can be easily removed by air stripping in columns with random packing and using a counter-current flow between the phases. This work proposes a new methodology for column design for any type of packing and contaminant which avoids the necessity of an arbitrary chosen diameter. It also avoids the employment of the usual graphical Eckert correlations for pressure drop. The hydraulic features are previously chosen as a project criterion. The design procedure was translated into a convenient algorithm in C++ language. A column was built in order to test the design, the theoretical steady-state and dynamic behaviour. The experiments were conducted using a solution of chloroform in distilled water. The results allowed for a correction in the theoretical global mass transfer coefficient previously estimated by the Onda correlations, which depend on several parameters that are not easy to control in experiments. For best describe the column behaviour in stationary and dynamic conditions, an original mathematical model was developed. It consists in a system of two partial non linear differential equations (distributed parameters). Nevertheless, when flows are steady, the system became linear, although there is not an evident solution in analytical terms. In steady state the resulting ODE can be solved by analytical methods, and in dynamic state the discretization of the PDE by finite differences allows for the overcoming of this difficulty. To estimate the contaminant concentrations in both phases in the column, a numerical algorithm was used. The high number of resulting algebraic equations and the impossibility of generating a recursive procedure did not allow the construction of a generalized programme. But an iterative procedure developed in an electronic worksheet allowed for the simulation. The solution is stable only for similar discretizations values. If different values for time/space discretization parameters are used, the solution easily becomes unstable. The system dynamic behaviour was simulated for the common liquid phase perturbations: step, impulse, rectangular pulse and sinusoidal. The final results do not configure strange or non-predictable behaviours.
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We exhibit the construction of stable arc exchange systems from the stable laminations of hyperbolic diffeomorphisms. We prove a one-to-one correspondence between (i) Lipshitz conjugacy classes of C(1+H) stable arc exchange systems that are C(1+H) fixed points of renormalization and (ii) Lipshitz conjugacy classes of C(1+H) diffeomorphisms f with hyperbolic basic sets Lambda that admit an invariant measure absolutely continuous with respect to the Hausdorff measure on Lambda. Let HD(s)(Lambda) and HD(u)(Lambda) be, respectively, the Hausdorff dimension of the stable and unstable leaves intersected with the hyperbolic basic set L. If HD(u)(Lambda) = 1, then the Lipschitz conjugacy is, in fact, a C(1+H) conjugacy in (i) and (ii). We prove that if the stable arc exchange system is a C(1+HDs+alpha) fixed point of renormalization with bounded geometry, then the stable arc exchange system is smooth conjugate to an affine stable arc exchange system.
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Deegan and Packel (1979) and Holler (1982) proposed two power indices for simple games: the Deegan–Packel index and the Public Good Index. In the definition of these indices, only minimal winning coalitions are taken into account. Using similar arguments, we define two new power indices. These new indices are defined taking into account only those winning coalitions that do not contain null players. The results obtained with the different power indices are compared by means of two real-world examples taken from the political field.
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PURPOSE: To study the gastric and colorectal cancer mortalities and their relation to the urban-industrialization in Baixada Santista, located in the southeastern region of Brazil. METHODS: Selected from the registries of the State System of Data Analysis Foundation (SEADE) were 1105 deaths due to gastric cancer (ICD 153--154) and 690 due to colorectal cancer (ICD 151) that occurred from 1980 to 1993 in males, above 10 years of age, residing in Baixada Santista. For each of these types of cancer, the standardized mortality rates, age-adjusted by world population in the 1960s, for 4 industrialized and 4 non-industrialized urban communities in that region were calculated. The ratios among those rates were calculated in order to compare the mortality in the periods 1980--93, 1980--1986, and 1987--1993. RESULTS: Standardized mortality rates for colorectal cancer were significantly higher in industrialized area, with ratios of 1.6 [95% CI 1.22 -- 2.29], 1.6 [95% CI 1.2 -- 2.0], and 1.6 [95% CI 1.3 -- 2.0] in the periods 1980--86, 1987--1993 and 1980--93, respectively. Gastric cancer did not show any statistical difference between the industrialized and non-industrialized areas, but there was a significant decrease in BS from the period 1980--1986 to 1987--1993. CONCLUSIONS: The significant elevation of colorectal cancer mortality in the industrialized area could be related to exposure to numerous carcinogens such as aromatic hydrocarbon, organic-chloride, metals, and industrial-port dust present in the region. Alternatively, the non-significant difference in gastric cancer between industrialized and non-industrialized areas and significant decrease in the last few years could be predominately reflecting the advances in the quality of life in urban areas. These results require further case-control studies that could help with the analysis of the associations among cancer and environmental factors (occupational, urban-industrial, habit, and life condition) and genetic susceptibility.
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Tese de Doutoramento em Ciências da Comunicação (Especialidade em Teoria da Cultura)
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Interactions between two species that result in reduced growth rates for both and extinction of one of the species are generally considered cases of asymmetric interspecific competition. Exploitative or interference competition is the usual mechanism invoked. Here we describe another mechanism producing the same result, named apparent competition through facilitation (ACF), observed between Melanoides tuberculata and Biomphalaria glabrata populations. The superior competitor actually gives some benefit to the other species, whose population becomes unstable with progressively increasing oscillations, leading to extinction. A model of ACF using difference equations suggests initial dynamics distinct from traditional interspecific competition. The dynamics of two freshwater snails in the field and in laboratory experiments suggest ACF, and these relations should be considered in studies of schistosomiasis control. ACF could occur in natural populations, but might have gone undetected because the final result is similar to traditional interspecific competition.
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Résumé : La voie de signalisation Notch est essentielle pour la différentiation de l'épiderme lors du développement embryonnaire de la peau. Il a été démontré que l'inactivation de Notch1 dans la peau de souris conduit à une hyperplasie de l'épiderme ainsi qu'à la formation subséquente de carcinomes basocellulaires ainsi que de plaques cornéennes. L'inactivation de Notch1 dans la cornée combinée à des lésions mécaniques démontre que les cellules progénitrices de la cornée se différentient en un épithélium hyperplasique et kératinisé comme la peau. Ce changement de destinée cellulaire conduit à une cécité cornéenne et implique des processus non-autonomes aux cellules épithéliales, caractérisés par la sécrétion de FGF-2 par l'épithélium Notch1-/- suivi d'une vascularisation et d'un remaniement du stroma sous-jacent. La déficience en vitamine A est connu comme cause de lésions cornéennes humaines (xérophtalmie sévère). En accord, nous avons trouvé que la signalisation Notch1 était liée au métabolisme de la vitamine A par la régulation de l'expression de CRBP1, nécessaire pour générer un pool de rétinol intracellulaire. La perte de Notch1 dans l'épiderme, l'autre récepteur de la famille présent dans la peau marine, ne conduit pas à un phénotype manifeste. Cependant, l'inactivation dans l'épiderme de Notch1 et Notch2 ensemble, ou de RBP-J, induit une dermatite atopique (DA) sévère chez les souris. De même, les patients souffrants de DA mais pas ceux souffrant de psoriasis ou de lichen plan, ont une réduction marquée de l'expression des récepteurs Notch dans la peau. La perte de Notch dans les keratinocytes conduit à une activation de la voie NF-κB, ce qui ensuite induit la production de TSLP, une cytokine profondément impliquée dans la pathogenèse de la DA. Nous démontrons génétiquement que TSLP est responsable de la DA ainsi que du développent d'un syndrome myéloprolifératif non-autonome aux cellules induit par le G-CSF. Cependant, ces souris avec une inactivation dans l'épiderme de Notch1 et Notch2 et aussi incapables de répondre au TSLP développent des tumeurs invasive sévères caractérisées par une haute activité de signalisation ß-catenin. TSLPR est identifié comme un potentiel suppresseur de tumeur non-autonome aux cellules tumorales; la transplantation de cellules hématopoïétiques TSLPR-/- dans des souris déficientes pour Notch est suffisant pour causer des tumeurs. Summary : The Notch pathway is essential for proper epidermal differentiation during embryonic skin development. It has previously been demonstrated that Notch1 inactivation in marine skin results in epidermal hyperplasia and subsequent formation of basal cell carcinoma-like (BCC-like) tumors as well as corneal plaques. Inducible ablation of Notch1 in the cornea combined with mechanical wounding show that Notch1 deficient corneal progenitor cells differentiate into a hyperplasic, keratinized, skin-like epithelium. This cell fate switch leads to corneal blindness and involves cell non-autonomous processes, characterized by secretion of FGF-2 through Notch1-/- epithelium followed by vascularisation and remodelling of the underlying stroma. Vitamin A deficiency is known to induce a similar corneal defect in humans (severe xerophthalmia). Accordingly, we found that Notch1 signaling is linked to vitamin A metabolism by regulating the expression of CRBP1, required to generate a pool of intracellular retinol. Epidermal loss of Notch2, the other Notch receptor present in marine skin, doesn't lead to any overt phenotypes. However, postnatal epidermis-specific inactivation of both Notch1 and Notch2, or of RBP-J, induces the development of a severe form of atopic dermatitis (AD) in mice. Likewise, patients suffering from AD, but not psoriasis or lichen planas, have a marked reduction of Notch receptor expression in the skin. Loss of Notch in keratinocytes leads to an activation of NF-κB signaling which in turn induces the production of Thymic stromal lymphopoietin (TSLP), a cytokine deeply implicated in the pathogenesis of AD. We genetically demonstrate that TSLP is responsible for AD as well as the development of a cell non-autonomous G-CSF induced myeloproliferative disorder (MPD) in mice. However, these mice with conditional epidermal inactivation of Notch1 and Notch2 as well as incapable to respond to TSLP develop severe invasive tumors characterized by high ß-catenin signaling activity. TSLPR is identified as a potential cell non-autonomous tumor suppressor; transplantation of TSLPR-/- hematopoietic cells into epidermal Notch deficient mice is sufficient to cause tumors.
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Polychlorinated biphenyls (PCBs) are a group of halogenated aromatic hydrocarbons, synthetic chemicals which do not occur naturally in the environment. PCBs are considered potential endocrine disruptors. They are estrogen-like and anti-androgenic chemicals in the environment contain potentially hazardous effects on male reproductive axis resulting in infertility and other hormonal dependent reproductive functions. These toxic substance cause alteration of the endocrine systems, mimic natural hormones and inhibit the action of hormones. The aim of this study is to examine the effect of Polychlorinated biphenyls (PCBs) on testicular development of male reproductive system in mice. The male mice were randomly assigned to five groups with each group comprising twenty-one members. In those mice were administered 0 μg/kg (control group) and 0.5, 5, 50, 500 μg/kg Aroclor 1254 (treated group) by gavages three time per week. Treatment was carried out for 50 days after which the mouse was sacrificed and the body weight, testicular weight; epedidymis weight, sperm mortality, sperm count and sperm abnormality were taken. However, there was no significant difference in testicular/body weight and epididymis/body weight ratio in treated group compared with the control group. According to the analysis of sperm quality, Aroclor 1254 treated group demonstrated significant increased in sperm mortality in 500 μg/kg; decreased the sperm count in 0.5 μg/kg, 5 μg/kg, 50 μg/kg and 500 μg/kg; and significantly elevate the sperm abnormality in 50 μg/kg and 500 μg/kg compared to the control in a dose-dependent manner. The sex hormone levels in the testes were detected by radio-immunoassay (RIA) method. The levels of testosterone and 17β-estradiol did not reveal significant alteration (p< 0.05) in PCBs treated groups compared to the control in a dose-dependent manner. The testis were obtained and subjected to routine histopathology following exposure to PCBs in supplement diet. The diameter of the seminiferous tubule and the number of Sertoli cells in the treated group increased significantly (p< 0.05) in comparison to the control group. For the spermatogenic cell, the number of germ cell in high concentration decreased significantly (p< 0.05). However, spermatogonia cells in PCB treated group showed non-significant difference (p< 0.05) compared to the control. vii Western blot analysis was used to determine the level of protein between the control and treated group. The level of Proliferating cell nuclear antigen (PCNA) was determined and the results have shown no significant alteration between the treated groups and the control. the level of sex hormone receptor (ER α/β); Androgen receptor (AR) were identified in the testes to detect the proliferative effect induced by PCBs. Statistical analyses of AR, ER α and ER β did not reveal significant difference between the control and the treated groups. In the present study, we continue to investigate adverse effect of Aroclor 1254 and their mechanism on spermatogenesis. The result of Sperm quality and histopathology showed that Aroclor 1254 at low concentration induce inhibitory effect on testicular function of male mouse.
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Transposable elements, as major components of most eukaryotic organisms' genomes, define their structural organization and plasticity. They supply host genomes with functional elements, for example, binding sites of the pleiotropic master transcription factor p53 were identified in LINE1, Alu and LTR repeats in the human genome. Similarly, in this report we reveal the role of zebrafish (Danio rerio) EnSpmN6_DR non-autonomous DNA transposon in shaping the repertoire of the p53 target genes. The multiple copies of EnSpmN6_DR and their embedded p53 responsive elements drive in several instances p53-dependent transcriptional modulation of the adjacent gene, whose human orthologs were frequently previously annotated as p53 targets. These transposons define predominantly a set of target genes whose human orthologs contribute to neuronal morphogenesis, axonogenesis, synaptic transmission and the regulation of programmed cell death. Consistent with these biological functions the orthologs of the EnSpmN6_DR-colonized loci are enriched for genes expressed in the amygdala, the hippocampus and the brain cortex. Our data pinpoint a remarkable example of convergent evolution: the exaptation of lineage-specific transposons to shape p53-regulated neuronal morphogenesis-related pathways in both a hominid and a teleost fish.
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BACKGROUND: The Notch pathway is essential for proper epidermal differentiation during embryonic skin development. Moreover, skin specific loss of Notch signaling in the embryo results in skin barrier defects accompanied by a B-lymphoproliferative disease. However, much less is known about the consequences of loss of Notch signaling after birth. METHODOLOGY AND PRINCIPAL FINDINGS: To study the function of Notch signaling in the skin of adult mice, we made use of a series of conditional gene targeted mice that allow inactivation of several components of the Notch signaling pathway specifically in the skin. We demonstrate that skin-specific inactivation of Notch1 and Notch2 simultaneously, or RBP-J, induces the development of a severe form of atopic dermatitis (AD), characterized by acanthosis, spongiosis and hyperkeratosis, as well as a massive dermal infiltration of eosinophils and mast cells. Likewise, patients suffering from AD, but not psoriasis or lichen planus, have a marked reduction of Notch receptor expression in the skin. Loss of Notch in keratinocytes induces the production of thymic stromal lymphopoietin (TSLP), a cytokine deeply implicated in the pathogenesis of AD. The AD-like associated inflammation is accompanied by a myeloproliferative disorder (MPD) characterized by an increase in immature myeloid populations in the bone marrow and spleen. Transplantation studies revealed that the MPD is cell non-autonomous and caused by dramatic microenvironmental alterations. Genetic studies demontrated that G-CSF mediates the MPD as well as changes in the bone marrow microenvironment leading to osteopenia. SIGNIFICANCE: Our data demonstrate a critical role for Notch in repressing TSLP production in keratinocytes, thereby maintaining integrity of the skin and the hematopoietic system.
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We face the problem of characterizing the periodic cases in parametric families of (real or complex) rational diffeomorphisms having a fixed point. Our approach relies on the Normal Form Theory, to obtain necessary conditions for the existence of a formal linearization of the map, and on the introduction of a suitable rational parametrization of the parameters of the family. Using these tools we can find a finite set of values p for which the map can be p-periodic, reducing the problem of finding the parameters for which the periodic cases appear to simple computations. We apply our results to several two and three dimensional classes of polynomial or rational maps. In particular we find the global periodic cases for several Lyness type recurrences
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Consider the celebrated Lyness recurrence $x_{n+2}=(a+x_{n+1})/x_{n}$ with $a\in\Q$. First we prove that there exist initial conditions and values of $a$ for which it generates periodic sequences of rational numbers with prime periods $1,2,3,5,6,7,8,9,10$ or $12$ and that these are the only periods that rational sequences $\{x_n\}_n$ can have. It is known that if we restrict our attention to positive rational values of $a$ and positive rational initial conditions the only possible periods are $1,5$ and $9$. Moreover 1-periodic and 5-periodic sequences are easily obtained. We prove that for infinitely many positive values of $a,$ positive 9-period rational sequences occur. This last result is our main contribution and answers an open question left in previous works of Bastien \& Rogalski and Zeeman. We also prove that the level sets of the invariant associated to the Lyness map is a two-parameter family of elliptic curves that is a universal family of the elliptic curves with a point of order $n, n\ge5,$ including $n$ infinity. This fact implies that the Lyness map is a universal normal form for most birrational maps on elliptic curves.
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1. Costs of reproduction lie at the core of basic ecological and evolutionary theories, and their existence is commonly invoked to explain adaptive processes. Despite their sheer importance, empirical evidence for the existence and quantification of costs of reproduction in tree species comes mostly from correlational studies, while more comprehensive approaches remain missing. Manipulative experiments are a preferred approach to study cost of reproduction, as they allow controlling for otherwise inherent confounding factors like size or genetic background. 2. Here, we conducted a manipulative experiment in a Pinus halepensis common garden, removing developing cones from a group of trees and comparing growth and reproduction after treatment with a control group. We also estimated phenotypic and genetic correlations between reproductive and vegetative traits. 3. Manipulated trees grew slightly more than control trees just after treatment, with just a transient, marginally non-significant difference. By contrast, larger differences were observed for the number of female cones initiated 1 year after treatment, with an increase of 70% more cones in the manipulated group. Phenotypic and genetic correlations showed that smaller trees invested a higher proportion of their resources in reproduction, compared with larger trees, which could be interpreted as an indirect evidence for costs of reproduction. 4. Synthesis. This research showed a high impact of current reproduction on reproductive potential, even when not significant on vegetative growth. This has strong implications for how we understand adaptive strategies in forest trees and should encourage further interest on their still poorly known reproductive life-history traits.