127 resultados para functional differential equation


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The truncation errors associated with finite difference solutions of the advection-dispersion equation with first-order reaction are formulated from a Taylor analysis. The error expressions are based on a general form of the corresponding difference equation and a temporally and spatially weighted parametric approach is used for differentiating among the various finite difference schemes. The numerical truncation errors are defined using Peclet and Courant numbers and a new Sink/Source dimensionless number. It is shown that all of the finite difference schemes suffer from truncation errors. Tn particular it is shown that the Crank-Nicolson approximation scheme does not have second order accuracy for this case. The effects of these truncation errors on the solution of an advection-dispersion equation with a first order reaction term are demonstrated by comparison with an analytical solution. The results show that these errors are not negligible and that correcting the finite difference scheme for them results in a more accurate solution. (C) 1999 Elsevier Science B.V. All rights reserved.

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A longitudinal study of 55 adults with severe traumatic brain injury (TBI) investigated the areas of function for which they lacked self-awareness of their level of competency. Data were collected at 3 and 12 months post-injury using the Patient Competency Rating Scale. Self-awareness was measured by comparing patient self-ratings with the ratings of an infor mant. The results were consistent with previous studies, indicating that self-awareness was most impaired for activities with a large cognitive and socioemotional component, and least impaired for basic activities of daily living, memory activities, and overt emotional responses. For most areas of function that were overestimated at 3 months post-injury, self-awareness subsequently improved during the first year after injury.

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Polymerase chain reaction (PCR)-based differential display was used to screen for alterations in gene expression in the mesolimbic system of the human alcoholic brain. Total RNA was extracted from the nucleus accumbens of five alcoholic and five control brains. A selected subpopulation of mRNA was reverse-transcribed to cDNA and amplified by PCR. A differentially expressed cDNA fragment was recovered, cloned, and sequenced. Full sequence analysis of this 467 bp fragment revealed 98.2% homology with the human mitochondrial 12S rRNA gene. Dot-blot analysis showed increased expression of this gem in nucleus accumbens and hippocampus, but not in the superior frontal cortex, primary motor cortex, caudate, and pallidus/putamen In a total of eight human alcoholic brains, compared with seven control brains. A similar increased expression was observed by dot-blot analysis, using RNA from the cerebral cortex of rats chronically treated with alcohol vapor. Hybridization of a 16S rRNA oligonucleotide probe indicated that the expression of both rRNAs genes was significantly increased in nucleus accumbens. These results indicate that chronic alcohol consumption induces alteration in expression of mitochondrial genes in selected brain regions. The altered gene expression may reflect mitochondrial dysfunction In the alcohol-affected brain.

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The chemical potential of adsorbed film inside cylindrical mesopores is dependent on the attractive interactions between the adsorbed molecules and adsorbent, the curvature of gas/adsorbed phase interface, and surface tension. A state equation of the adsorbed film is proposed to take into account the above factors. Nitrogen adsorption on model adsorbents, MCM-41, which exhibit uniform cylindrical channels, are used to verify the theoretical analysis. The proposed theory is capable of describing the important features of adsorption processes in cylindrical mesopores. According to this theory, at a given relative pressure, the smaller the pore radius is, the thicker the adsorbed film will be. The thickening of adsorbed films in the pores as the vapor pressure increases inevitably causes an increase in the interface curvature, which consequently leads to capillary condensation. Besides, this study confirmed that the interface tension depends substantially on the interface curvature in small mesopores. A quantitative relationship between the condensation pressure and the pore radius can be derived from the state equation and used to predict the pore radius from a condensation pressure, or vice versa.

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Freeform fabrication methods allow the direct formation of parts built layer by layer, under the control of a CAD drawing. Most of these methods form parts in thermoplastic or thermoset polymers, but there would be many applications for freeform fabrication of fully functional metal or ceramic parts. We describe here the freeforming of sinterable aluminium alloys. In addition, the building approach allows different materials to be positioned within a monolithic part for an optimal combination of properties. This is illustrated here with the formation of an aluminium gear with a metal-matrix composite wear surface. (C) 1999 Kluwer Academic Publishers.

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Assessment of functional outcome can be used as a measure of the effectiveness of intervention during recovery from a burn injury. This pilot study identifies the factors that are likely to be most important for determining standardized functional outcome measures for children after a burn injury; it highlights the contribution of these factors to variations in children's postburn outcomes. A focus group of 8 parents and a self-report questionnaire administered to 12 children and 13 parents were the means of obtaining information for this exploratory study. Itching was found to be one of the primary impairments that contributed to reduced functional outcome during skin healing after a burn injury. The activities of children who had been burned that were most frequently affected by the injury (as reported by parents) were schoolwork and sports; these were closely followed by sleeping, playing with other children, and unliked activities. Least affected activities were enjoying the family, eating, seeing friends, watching television, and bathing or showering. Eighty-five percent of parents reported at least some level of interference with the listed daily activities. Burn injuries are likely to cause interference with several aspects of a patient's daily life. As a result, families require ongoing support and monitoring. Further research should longitudinally compare the performance of children who have been burned with other children and adolescents.

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Groundwater waves, that is, water table fluctuations, are a natural phenomenon in coastal aquifers. They represent an important part of the interaction between the ocean and aquifer and affect the mass exchange between them. This paper presents a new groundwater wave equation. Because it includes the effects of vertical flows and capillarity, the new equation is applicable to both intermediate-depth aquifers and high-frequency waves. Compared with the wave equation derived by Nielsen ed al. [1997], the present equation provides a closer representation of groundwater waves. In particular, it predicts high-frequency water table fluctuations as observed in the field. A validation of the new equation has been carried out by comparing the analytical solutions to it with predictions from direct simulations using the numerical model SUTRA. The effects of various physical parameters and their relative importance are also discussed.

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The Alzheimer's disease amyloid protein precursor (APP) gene is part of a multi-gene super-family from which sixteen homologous amyloid precursor-like proteins (APLP) and APP species homologues have been isolated and characterised. Comparison of exon structure (including the uncharacterised APL-1 gene), construction of phylogenetic trees, and analysis of the protein sequence alignment of known homologues of the APP super-family were performed to reconstruct the evolution of the family and to assess the functional significance of conserved protein sequences between homologues. This analysis supports an adhesion function for all members of the APP super family, with specificity determined by those sequences which are not conserved between APLP lineages, and provides evidence for an increasingly complex APP superfamily during evolution. The analysis also suggests that Drosophila APPL and Caenorhabdotids elegans APL-1 may be a fourth APLP lineage indicating that these proteins, while not functional homologues of human APP, are similarly likely to regulate cell adhesion. Furthermore, the beta A4 sequence is highly conserved only in APP orthologues, strongly suggesting this sequence is of significant functional importance in this lineage. (C) 2000 Elsevier Science Ltd. All rights reserved.

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Natural tumor surveillance capabilities of the host were investigated in six different mouse tumor models where endogenous interleukin (IL)-12. does or does not dictate the efficiency of the innate immune response. Gene-targeted and lymphocyte subset-depleted mice were used to establish the relative importance of natural killer (NK) and NK1.1(+) T (NKT) cells in protection from tumor initiation and metastasis. In the models examined, CD3(-) NK cells were responsible for tumor rejection and protection from metastasis in models where control of major histocompatibility complex class I-deficient tumors was independent of IL-12, A protective role for NKT cells was only observed when tumor rejection required endogenous IL-12 activity. In particular, T cell receptor J alpha 281 gene-targeted mice confirmed a critical function for NKT cells in protection from spontaneous tumors initiated by the chemical carcinogen, methylcholanthrene. This is the first description of an antitumor function for NKT cells in the absence of exogenously administered potent stimulators such as IL-12 or alpha-galactosylceramide.

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Objectives: To determine the relationship between pediatric assessment scores and ratings by parents and teachers regarding the amount of assistance required to complete basic activities of daily living; and to examine the relationship among scores for three commonly used pediatric assessments. Design: Prospective correlational study. 205 children with developmental disabilities. The children ranged in age from 11 to 87 mo and included 72 females and 133 males of diverse socioeconomic and ethnic backgrounds. The children were evaluated by using the Battelle Developmental Inventory Screening Test, Vineland Adaptive Behavior Scales, Functional Independence Measure for Children (WeeFIM(TM) instrument), and the Amount of Assistance Questionnaire, Results: The test-retest reliability coefficients for items on the Amount of Assistance Questionnaire were found to range from 0.82 to 0.97. Correlations among subscale scores and amount of assistance ratings were highest for the WeeFIM instrument and Battelle Developmental Inventory Screening Test. The highest correlation was between WeeFIM total rating and total amount of assistance rating (r = 0.91). Conclusion: Total WeeFIM instrument ratings and severity of disability were the best predictors of amount of assistance ratings provided by parents and teachers.

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Retrovirus entry into cells follows receptor binding by the surface exposed envelope glycoprotein (Env) subunit (SU), which triggers the membrane fusion activity of the transmembrane (TM) protein. TM protein fragments expressed in the absence of SU adopt helical hairpin structures comprising a central coiled coil, a region of chain reversal containing a disulfide-bonded loop, and a C-terminal segment that packs onto the exterior of the coiled coil in an antiparallel manner. Here we used in vitro mutagenesis to test the functional role of structural elements observed in a model helical hairpin, gp21 of human T-lymphotropic virus type 1. Membrane fusion activity requires the stabilization of the N and C termini of the central coiled coil by a hydrophobic N cap and a small hydrophobic core, respectively. A conserved Gly-Gly hinge motif preceding the disulfide-bonded loop, a salt bridge that stabilizes the chain reversal region, and interactions between the C-terminal segment and the coiled coil are also critical for fusion activity. Our data support a model whereby the chain reversal region transmits a conformational signal from receptor-bound SU to induce the fusion-activated helical hairpin conformation of the TM protein.

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A wide range of peptides produced from milk proteins have been demonstrated to produce a physiological response in model systems. These peptides may be released from intact proteins in the gastrointestinal tract by proteolytic digestion, but are also present in fermented products such as cheese and yogurt, as a result of the action of inherent proteases, such as plasmin, and/or bacterial proteases released by the starter culture. This study investigated the presence of peptides, previously reported to have bioactive properties, in commercially available yogurts and cheeses.

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Arylamine N-acetyltransferase (NAT) was first identified as the inactivator of the anti-tubercular drug isoniazid, The enzyme was shown to catalyse the transfer of an acetyl group from acetyl-CoA to the terminal nitrogen of the hydrazine drug. The rate of inactivation of isoniazid was polymorphically distributed in the population and was one of the first examples of pharmacogenetic variation, NAT was identified recently in Mycobacterium tuberculosis and is a candidate for; modulating the response to isoniazid, Genome sequences have revealed many homologous members of this unique family of enzymes. The first three-dimensional structure of a member of the NAT family identifies a catalytic triad consisting of aspartate, histidine and cysteine proposed to form the activation mechanism. So far, all procaryotic NATs resemble the human enzyme which acetylates isoniazid (NAT2), Human NAT2 is characteristic of drug-metabolizing enzymes: it is found in liver and intestine, In humans and other mammals, there are up to three different isoenzymes. If only one isoenzyme is present, it is like human NAT1. Human NAT1 and its murine equivalent specifically acetylate the folate catabolite p-amino-benzoylglutamate. NAT1 and its murine homologue each have a ubiquitous tissue distribution and are expressed early in development at the blastocyst stage, During murine embryonic development, NAT is expressed in the developing neural tube. The proposed endogenous role of NAT in folate metabolism, and its multi-allelic nature, indicate that its role in development should be assessed further.