928 resultados para Decimal numbers and fractional numbers
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1. Protein utilisation and turnover were measured in male chickens sampled from a line selected for high breast yield and a randombred control line (lines QL and CL, experiment 1) and in male chickens sampled from lines selected for either high or low abdominal fatness (lines FL and LL, experiment 2). In each experiment, 18 birds per line were given iso-energetic (12.9 MJ ME/kg) diets containing either 120 or 220 g CP/kg from 21 to 29 d (experiment 1) and 33 to 43 d (experiment 2). 2. Measurements were made of growth rate, food intake, body composition, excreta production and N-tau-methylhistidine excretion as a measure of myofibrillar protein breakdown, and fractional rates (%/d) of protein deposition, breakdown and synthesis were calculated. 3. In experiment 1, there were no significant differences between the line means for the fractional measures of protein turnover, but there was marked differential response in the two lines in the fractional rates of protein deposition, breakdown and synthesis, to increase in protein intake. The positive slope of the regressions of fractional (%/d) protein deposition and synthesis rates on protein intake (g/d/kg BW) were approximately 1.4- and 2.0-fold higher respectively in the QL than the CL line birds, and the negative slope of the regression of fractional breakdown rate on protein intake was approximately threefold greater in the CL than the QL line birds. 4. In experiment 2, fractional deposition rate was 6.2% lower, but fractional breakdown rate 9.4% higher in the LL than the FL birds, whilst there was essentially no difference in response of the FL and LL birds in the components of protein turnover to increase in protein intake. Line differences in deposition and breakdown rates were thus a reflection of the considerably higher (20%) food and hence protein intake in the FL than the LL birds. 5. The differential line responses in protein turnover in the two experiments suggest that selection for increased breast muscle yield and for reduced body fatness manipulate different physiological pathways in relation to protein turnover, but neither selection strategy results in an improvement in net protein utilisation at typical levels of protein intake by birds on commercial broiler diets, through a reduction in protein breakdown rate.
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2000 Math. Subject Classification: 26A33; 33E12, 33E30, 44A15, 45J05
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The paper provides a review of A.M. Mathai's applications of the theory of special functions, particularly generalized hypergeometric functions, to problems in stellar physics and formation of structure in the Universe and to questions related to reaction, diffusion, and reaction-diffusion models. The essay also highlights Mathai's recent work on entropic, distributional, and differential pathways to basic concepts in statistical mechanics, making use of his earlier research results in information and statistical distribution theory. The results presented in the essay cover a period of time in Mathai's research from 1982 to 2008 and are all related to the thematic area of the gravitationally stabilized solar fusion reactor and fractional reaction-diffusion, taking into account concepts of non-extensive statistical mechanics. The time period referred to above coincides also with Mathai's exceptional contributions to the establishment and operation of the Centre for Mathematical Sciences, India, as well as the holding of the United Nations (UN)/European Space Agency (ESA)/National Aeronautics and Space Administration (NASA) of the United States/ Japanese Aerospace Exploration Agency (JAXA) Workshops on basic space science and the International Heliophysical Year 2007, around the world. Professor Mathai's contributions to the latter, since 1991, are a testimony for his social con-science applied to international scientific activity.
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Mathematics Subject Classi¯cation 2010: 26A33, 65D25, 65M06, 65Z05.
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RATIONALE: As more preterm infants recover from severe bronchopulmonary dysplasia (BPD), it is critical to understand the clinical consequences of this condition on the lung health of adult survivors.
OBJECTIVES: To assess structural and functional lung parameters in young adult BPD survivors and preterm and term controls Methods: Young adult survivors of BPD (mean age 24) underwent spirometry, lung volumes, transfer factor, lung clearance index and fractional exhaled nitric oxide measurements together with high-resolution chest tomographic (CT) imaging and cardiopulmonary exercise testing.
MEASUREMENTS AND MAIN RESULTS: 25 adult BPD survivors, (mean ± SD gestational age 26.8 ± 2.3 weeks; birth weight 866 ± 255 g), 24 adult prematurely born non-BPD controls (gestational age 30.6 ± 1.9 weeks; birth weight 1234 ± 207 g) and 25 adult term birth control subjects (gestational age 38.5 ± 0.9 weeks; and birth weight 3569 ± 2979 g) were studied. BPD subjects were more likely to be wakened by cough (OR 9.7, 95% CI: 1.8 to 52.6), p<0.01), wheeze and breathlessness (OR 12.2, 95%CI: 1.3 to 112), p<0.05) than term controls after adjusting for sex and current smoking. Preterm subjects had greater airways obstruction than term subjects. BPD subjects had significantly lower values for FEV1 and FEF25-75 (% predicted and z scores) than term controls (both p<0.001). Although non-BPD subjects also had lower spirometric values than term controls, none of the differences reached statistical significance. More BPD subjects (25%) had fixed airflow obstruction than non-BPD (12.5%) and term (0%) subjects (p=0.004). Both BPD and non-BPD subjects had significantly greater impairment in gas transfer (KCO % predicted) than term subjects (both p<0.05). Eighteen (37%) preterm participants were classified as small for gestational age (birth weight < 10th percentile for gestational age). These subjects had significantly greater impairment in FEV1 (% predicted and z scores) than those born appropriate for gestational age. BPD survivors had significantly more severe radiographic structural lung impairment than non-BPD subjects. Both preterm groups had impaired exercise capacity compared to term controls. There was a trend for greater limitation and leg discomfort in BPD survivors.
CONCLUSIONS: Adult preterm birth survivors, especially those who developed BPD, continue to experience respiratory symptoms and exhibit clinically important levels of pulmonary impairment.
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Fractional partial differential equations with more than one fractional derivative term in time, such as the Szabo wave equation, or the power law wave equation, describe important physical phenomena. However, studies of these multi-term time-space or time fractional wave equations are still under development. In this paper, multi-term modified power law wave equations in a finite domain are considered. The multi-term time fractional derivatives are defined in the Caputo sense, whose orders belong to the intervals (1, 2], [2, 3), [2, 4) or (0, n) (n > 2), respectively. Analytical solutions of the multi-term modified power law wave equations are derived. These new techniques are based on Luchko’s Theorem, a spectral representation of the Laplacian operator, a method of separating variables and fractional derivative techniques. Then these general methods are applied to the special cases of the Szabo wave equation and the power law wave equation. These methods and techniques can also be extended to other kinds of the multi term time-space fractional models including fractional Laplacian.
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Transport through crowded environments is often classified as anomalous, rather than classical, Fickian diffusion. Several studies have sought to describe such transport processes using either a continuous time random walk or fractional order differential equation. For both these models the transport is characterized by a parameter α, where α = 1 is associated with Fickian diffusion and α < 1 is associated with anomalous subdiffusion. Here, we simulate a single agent migrating through a crowded environment populated by impenetrable, immobile obstacles and estimate α from mean squared displacement data. We also simulate the transport of a population of such agents through a similar crowded environment and match averaged agent density profiles to the solution of a related fractional order differential equation to obtain an alternative estimate of α. We examine the relationship between our estimate of α and the properties of the obstacle field for both a single agent and a population of agents; we show that in both cases, α decreases as the obstacle density increases, and that the rate of decrease is greater for smaller obstacles. Our work suggests that it may be inappropriate to model transport through a crowded environment using widely reported approaches including power laws to describe the mean squared displacement and fractional order differential equations to represent the averaged agent density profiles.
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We study integral representations of Gaussian processes with a pre-specified law in terms of other Gaussian processes. The dissertation consists of an introduction and of four research articles. In the introduction, we provide an overview about Volterra Gaussian processes in general, and fractional Brownian motion in particular. In the first article, we derive a finite interval integral transformation, which changes fractional Brownian motion with a given Hurst index into fractional Brownian motion with an other Hurst index. Based on this transformation, we construct a prelimit which formally converges to an analogous, infinite interval integral transformation. In the second article, we prove this convergence rigorously and show that the infinite interval transformation is a direct consequence of the finite interval transformation. In the third article, we consider general Volterra Gaussian processes. We derive measure-preserving transformations of these processes and their inherently related bridges. Also, as a related result, we obtain a Fourier-Laguerre series expansion for the first Wiener chaos of a Gaussian martingale. In the fourth article, we derive a class of ergodic transformations of self-similar Volterra Gaussian processes.
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Thyroid hormone (TH) plays an important role in maintaining a homeostasis in all the cells of our body. It also has significant cardiovascular effects, and abnormalities of its concentration can cause cardiovascular disease and even morbidity. Especially development of heart failure has been connected to low levels of thyroid hormone. A decrease in TH levels or TH-receptor binding adversely effects cardiac function. Although, this occurs in part through alterations in excitation-contraction and transport proteins, recent data from our laboratory indicate that TH also mediates changes in myocardial energy metabolism. Thyroid dysfunction may limit the heart s ability to shift substrate pathways and provide adequate energy supply during stress responses. Our goals of these studies were to determine substrate oxidation pattern in systemic and cardiac specific hypothyroidism at rest and at higher rates of oxygen demand. Additionally we investigated the TH mediated mechanisms in myocardial substrate selection and established the metabolic phenotype caused by a thyroid receptor dysfunction. We measured cardiac metabolism in an isolated heart model using 13Carbon isotopomer analyses with MR spectroscopy to determine function, oxygen consumption, fluxes and fractional contribution of acetyl-CoA to the citric acid cycle (CAC). Molecular pathways for changes in cardiac function and substrate shifts occurring during stress through thyroid receptor abnormalities were determined by protein analyses. Our results show that TH modifies substrate selection through nuclear-mediated and rapid posttranscriptional mechanisms. It modifies substrate selection differentially at rest and at higher rates of oxygen demand. Chronic TH deficiency depresses total CAC flux and selectively fatty acid flux, whereas acute TH supplementation decreases lactate oxidation. Insertion of a dominant negative thyroid receptor (Δ337T) alters metabolic phenotype and contractive efficiency in heart. The capability of the Δ337T heart to increase carbohydrate oxidation in response to stress seems to be limited. These studies provided a clearer understanding of the TH role in heart disease and shed light to identification of the molecular mechanisms that will facilitate in finding targets for heart failure prevention and treatment.
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In this study, we derive a fast, novel time-domain algorithm to compute the nth-order moment of the power spectral density of the photoelectric current as measured in laser-Doppler flowmetry (LDF). It is well established that in the LDF literature these moments are closely related to fundamental physiological parameters, i.e. concentration of moving erythrocytes and blood flow. In particular, we take advantage of the link between moments in the Fourier domain and fractional derivatives in the temporal domain. Using Parseval's theorem, we establish an exact analytical equivalence between the time-domain expression and the conventional frequency-domain counterpart. Moreover, we demonstrate the appropriateness of estimating the zeroth-, first- and second-order moments using Monte Carlo simulations. Finally, we briefly discuss the feasibility of implementing the proposed algorithm in hardware.
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Sydämen krooninen vajaatoiminta on merkittävä maailmanlaajuinen ongelma. Se on erilaisten sydän- ja verisuonisairauksien aiheuttama monimuotoinen oireyhtymä. Sydämen vasemman kammion hypertrofia eli sydämen seinämien paksuuntuminen on yksi keskeinen tekijä, joka voi olla sydämen vajaatoiminnan taustalla. Kohonnut verenpaine on yleisin syy, joka johtaa sydänlihaksen paksuuntumiseen. Tämä johtaa sydämen pumppaustoiminnan häiriintymiseen, erilaisten neurohormonaalisten mekanismien aktivaatioon ja edelleen sydämen vajaatoimintaan. Sydämen vajaatoiminnan neurohormonaalisista mekanismeista tärkeimmät ovat reniini-angiotensiini-aldosteroni-järjestelmän ja sympaattisen hermoston aktivaatio, sydämen rakenteiden uudelleenmuovautuminen, sydänlihassolujen apoptoosi ja systeeminen tulehdustila. Sydämen hypertrofiaa ja sen syntymistä pyritään estämään kohonneen verenpaineen lääkehoidolla. Reniini-angiotensiini-aldosteronijärjestelmällä on keskeinen merkitys sydämen vajaatoiminnassa. Sydämen vajaatoiminnan ennusteeseen vaikuttavista lääkeaineista angiotensiinikonvertasin estäjät (ACEestäjät) ovat säilyttäneet johtoasemansa jo vuosikymmenten ajan. Angiotensiinireseptoreiden salpaajien (AT1-salpaajien) odotettiin syrjäyttävän ACE-estäjät sydämen vajaatoiminnan hoidossa, mutta toistaiseksi niitä pidetään vain vaihtoehtoisina lääkkeinä. Sympaattisen hermoston aktivaatiota vähentävät β-salpaajat ovat vakiinnuttaneet asemansa toiseksi tärkeimpänä lääkeryhmänä. Diureetit ovat paljon käytetty lääkeaineryhmä sydämen vajaatoiminnan hoidossa, mutta niistä ainoastaan aldosteroniantagonisteilla on tutkitusti ennustetta parantavaa vaikutusta. Kroonisen vajaatoiminnan hoidossa käytetään edelleen myös digoksiinia. Tulevaisuudessa sydämen vajaatoiminnan ennusteeseen vaikuttavia lääkeaineita voivat olla reniinin estäjät, neutraaliendopeptidaasin estäjät, vasopressiinin antagonistit tai inflammatroisiin sytokiineihin vaikuttavat molekyylit. Erikoistyön kokeellisessa osiossa tarkoituksena oli tutkia sydämen hypertrofian kehittymistä vatsa-aortta kuristetuilla rotilla ja kalsiumherkistäjä levosimendaanin sekä AT1-salpaaja valsartaanin vaikutuksia hypertrofian kehittymiseen. Kokeellisessa osiossa arvioitiin myös sydämen hypertrofian ja vajaatoiminnan jyrsijämallina käytetyn vatsa-aortan kuristuksen (koarktaation) toimivuutta ja vaikutuksia ultraäänen avulla määritettyihin kardiovaskulaarisiin parametreihin. Vatsa-aortta kuristettiin munuaisvaltimoiden yläpuolelta. Kuristus saa aikaan verenpaineen kohoamisen ja sydämen työtaakan lisääntymisen. Pitkittyessään tila johtaa sydänlihaksen hypertrofiaan ja vajaatoimintaan. 64 eläintä jaettiin ryhmiin, siten että jokaiseen ryhmään tuli kahdeksan eläintä. Ryhmistä kolmelle annettiin lääkeaineena levosimendaania kolmella eri päiväannoksella (0,01 mg/kg; 0,10 mg/kg; 1,00 mg/kg) ja kolmelle valsartaania kolmella eri päiväannoksella (0,10 mg/kg; 1,00 mg/kg; 10,00 mg/kg) juomaveden mukana. Lääkitys aloitettiin leikkauksen jälkeen ja jatkettiin kahdeksan viikon ajan. Kardiovaskulaariset parametrit, kuten isovolumetrinen relaksaatioaika (IVRT), vasemman kammion läpimitta systolessa ja diastolessa sekä seinämäpaksuudet, ejektiofraktio (EF), supistuvuusosuus (FS), minuuttitilavuus (CO) ja iskutilavuus (SV) määritettiin kahdeksan viikon kuluttua leikkauksesta ultraäänitutkimuksen avulla. Lisäksi määritettiin eläinten sydämen paino suhteessa ruumiin painoon. Tuloksia verrattiin ilman lääkehoitoa olleeseen koarktaatioryhmään. Eläinmallin toimivuutta arvioitiin vertaamalla koarktaatioryhmän tuloksia sham-operoidun ryhmän tuloksiin. Levosimendaanilla havaittiin työssä sydämen systolista toimintaa parantava vaikutus. Tämä näkyi tendenssinä parantaa ejektiofraktioita ja vasemman kammion supistuvuusosuuksia. Sydämen diastoliseen toimintaan ei kummallakaan lääkeaineella ollut merkittävää vaikutusta. Diastolista toimintaa arvioitiin isovolumetrisen relaksaatioajan muutoksilla. Sydämen hypertrofian kehittymiseen ei kummallakaan lääkeaineella ollut merkittävää vaikutusta. Eläinmallin todettiin mallintavan hyvin sydämen hypetrofiaa ihmisellä, mutta ei niinkään sydämen vajaatoimintaa.
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Hepatoma and melanoma cells were exposed to C-12(6+) beams generated by HIRFL facility and gamma-rays and the cell response was studied by colony assays as well as the analysis of RBE of carbon ions was evolved. The survival curves of cells irradiated by heavy ions were different from those of cells irradiated by gamma-rays. And two kinds of cell showed the obvious discrepancy in response to the photon and ion irradiation. The results showed that heavy ions have special physical properties and mighty potency to kill cell in both single and fractional irradiation meanwhile it can kill tumor cells with high radioresistance more efficiently. When involved in clinical therapy, heavy ions will enhance the therapy efficiency and decrease the suffering of patients because it can impair the repair for sublethal damage of cells which can lead to fewer irradiation fractions.
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Post-collisional, potassic igneous rocks are widely distributed in the Hoh Xil area of the northern Tibetan Plateau. Based on the field work, petrography, mineral chemistry, K-Ar geochronology, element and Sr-Nd-Pb isotope geochemistry, this thesis systematically studied the spatial and temporal distribution of the volcanic rocks, chemical characteristics, formation mechanism and partial melting mechanism of the magma source region, geodynamic setting of magmatism, as well as crustal assimilation and fractional crystallization (AFC). The results show that: 1. The Miocene (7.77-17.82 Ma) volcanic products dominantly are trachandesite and trachy, and subordinate rhyolites, associated with stike-slip faults and thrust faults, formed morphology of small lava platforms and cinder cones. 2. Phenocrysts in the lavas are augite, andesine, sanidine, calcic amphibole and subordinate orthopyroxene, biotite and Ti-Fe oxides, displaying typical quench texture. Equilibrium temperatures and pressures of clinopyroxene phenocrysts indicate the magma chamber is located in upper-middle crust. 3. Rhyolites are the products of crustal melting and fractionation of shoshonitic magmas. The source region of intermediate magmas is enriched continental lithospheric mantle, which contains residual minerals such as phlogopite, rutile and spinel, and enriched by subducted sediments during earlier multi-episodes of subduction. 4. Upwelling of asthenosphere provides heat for source region melting, and faults provide channels for magma eruption. 5. Northward underthrusting of Indian continental lithosphere and southward of backstop of Asian continental lithosphere resulted in upwelling of hot asthenosphere. Geochemical characteristics of the potassic magmatism in North Tibet are dominantly controlled by source region composition, partial melting, and crustal assimilation and fractional crystallization (AFC).
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BACKGROUND: Heart failure is characterized by abnormalities in beta-adrenergic receptor (betaAR) signaling, including increased level of myocardial betaAR kinase 1 (betaARK1). Our previous studies have shown that inhibition of betaARK1 with the use of the Gbetagamma sequestering peptide of betaARK1 (betaARKct) can prevent cardiac dysfunction in models of heart failure. Because inhibition of betaARK activity is pivotal for amelioration of cardiac dysfunction, we investigated whether the level of betaARK1 inhibition correlates with the degree of heart failure. METHODS AND RESULTS: Transgenic (TG) mice with varying degrees of cardiac-specific expression of betaARKct peptide underwent transverse aortic constriction (TAC) for 12 weeks. Cardiac function was assessed by serial echocardiography in conscious mice, and the level of myocardial betaARKct protein was quantified at termination of the study. TG mice showed a positive linear relationship between the level of betaARKct protein expression and fractional shortening at 12 weeks after TAC. TG mice with low betaARKct expression developed severe heart failure, whereas mice with high betaARKct expression showed significantly less cardiac deterioration than wild-type (WT) mice. Importantly, mice with a high level of betaARKct expression had preserved isoproterenol-stimulated adenylyl cyclase activity and normal betaAR densities in the cardiac membranes. In contrast, mice with low expression of the transgene had marked abnormalities in betaAR function, similar to the WT mice. CONCLUSIONS: These data show that the level of betaARK1 inhibition determines the degree to which cardiac function can be preserved in response to pressure overload and has important therapeutic implications when betaARK1 inhibition is considered as a molecular target.
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BACKGROUND: Although serum ECP concentrations have been reported in normal children, there are currently no published upper cutoff reference limits for serum ECP in normal, nonatopic, nonasthmatic children aged 1-15 years.
METHODS: We recruited 123 nonatopic, nonasthmatic normal children attending the Royal Belfast Hospital for Sick Children for elective surgery and measured serum ECP concentrations. The effects of age and exposure to environmental tobacco smoke (ETS) on the upper reference limits were studied by multiple regression and fractional polynomials.
RESULTS: The median serum ECP concentration was 6.5 microg/l and the 95th and 97.5 th percentiles were 18.8 and 19.9 microg/l. The median and 95th percentile did not vary with age. Exposure to ETS was not associated with altered serum ECP concentrations (P = 0.14).
CONCLUSIONS: The 95th and 97.5 th percentiles for serum ECP for normal, nonatopic, nonasthmatic children (aged 1-15 years) were 19 and 20 microg/l, respectively. Age and exposure to parental ETS did not significantly alter serum ECP concentrations or the normal upper reference limits. Our data provide cutoff upper reference limits for normal children for use of serum ECP in a clinical or research setting.
PMID: 10604557 [PubMed - indexed for MEDLINE]