84 resultados para Melnikov-holmes-marsden (mhm) Integrals


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Functional MRI studies commonly refer to activation patterns as being localized in specific Brodmann areas, referring to Brodmann’s divisions of the human cortex based on cytoarchitectonic boundaries [3]. Typically, Brodmann areas that match regions in the group averaged functional maps are estimated by eye, leading to inaccurate parcellations and significant error. To avoid this limitation, we developed a method using high-dimensional nonlinear registration to project the Brodmann areas onto individual 3D co-registered structural and functional MRI datasets, using an elastic deformation vector field in the cortical parameter space. Based on a sulcal pattern matching approach [11], an N=27 scan single subject atlas (the Colin Holmes atlas [15]) with associated Brodmann areas labeled on its surface, was deformed to match 3D cortical surface models generated from individual subjects’ structural MRIs (sMRIs). The deformed Brodmann areas were used to quantify and localize functional MRI (fMRI) BOLD activation during the performance of the Tower of London task [7].

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Australian charities are facing increased public scrutiny of their financial reports, which must now be submitted to the national regulator, the Australian Charities and Not-for-profits Commission. Some may wish to use reports to create so-called 'fundraising efficiency league tables'. This article seeks to provide a description of current best practice in fundraising financial reporting by examining annual reports that have been recognised with industry awards. We find a wide variation in how terms have been used, with no patterns discernible. Moreoever, reporting is influenced by regulatory requirements in the relevant jurisdiction, which differ substantially. It is unlikely that league tables will be meaningful if constructed from charities' current annual financial statements.

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Our world is literally and figuratively turning to ‘dust’. This work acknowledges decay and renewal and the transitional, cyclical natures of interrelated ecologies. It also suggests advanced levels of degradation potentially beyond reparation. Dust exists both on and beneath the border of our unaided vision. Dust particles are predominantly forms of disintegrating solids that often become the substance or catalyst of future forms. Like many tiny forms, dust is an often unnoticed residue with ‘planet-size consequences’. (Hanna Holmes 2001) The image depicts an ethereal, backlit body, continually circling and morphing, apparently floating, suggesting endless cycles of birth, life and death and inviting differing states of meditation, exploration, stillness and play. This never ending video work is taken from a large-scale interactive/media artwork created during a six-month research residency in England at the Institute of Contemporary Art London and at Vincent Dance Theatre Sheffield in 2006. It was originally presented on a raised floor screen made of pure white sand at the ICA in London (see). The project involved developing new interaction, engagement and image making strategies for media arts practice, drawing on the application of both kinetic and proprioceptive dance/performance knowledges. The work was further informed by ecological network theory that assesses the systemic implications of private and public actions within bounded systems. The creative methodology was primarily practice-led which fomented the particular qualities of imagery, generated through cross-fertilising embodied knowledge of Dance and Media Arts. This was achieved through extensive workshopping undertaken in theatres, working ‘on the floor’ live, with dancers, props, sound and projection. And eventually of course, all this dust must settle. (Holmes 2001, from Dust Jacket) Holmes, H. 2001, The Secret Life of Dust: From the Cosmos to the Kitchen Counter, the Big Consequences of Little Things, p.3

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On 21 September 1999 Division 152 was inserted into the Income Tax Assessment Act (1997) (ITAA 1997). Division 152 contains the small business CGT concessions, which enables eligible small business taxpayers to reduce the amount of tax payable on capital gains arising from certain CGT events that occur after 11:45 am on 21 September 1999. One of the principal objectives of the legislation is to provide a concessionary regime for small business owners who do not have the same ability to access the concessionary superannuation regime generally available to employees. When announcing the introduction of the concessions the then Federal Treasurer, Mr Peter Costello, specifically stated that the objective of Division 152 was to provide ‘small business people with access to funds for retirement or expansion’. The purpose of this article is to: one, assess the extent to which small business taxpayers understand the CGT small business concessions, particularly when considering the sale of their business; two, determine which of the four small business CGT concessions are most commonly adopted and/or recommended by tax practitioners to clients; and three, to determine whether the superannuation changes in relation to the capping of the concessional superannuation thresholds have had an impact on the use of the small business retirement concession.

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There are three distinct categories of air environment to be considered in this chapter. These are as follows: (1) The “ambient” or general outdoors atmosphere to which the members of the population are exposed when they venture out of their homes or offices in industrial, urban or rural environments. (2) Indoor air environments, which occur in buildings such as homes, schools, restaurants, public hospitals and office buildings. This category does not cover factories or workplaces which are otherwise subjected to the provisions of various occupational health standards. (3) Workplace atmospheres, which occur in a variety of industries or factories and for which there are numerous atmospheric concentration limits (or exposure standards) promulgated by appropriate bodies or organisations. Since 2009 setting concentration limits for atmospheric contaminants has been administered by Safe Work Australia. A fourth category of air environment which falls outside this chapter is that which is related to upper atmospheric research, global atmospheric effects and concomitant areas of inquiry and/or debate. Such areas include “greenhouse” gas emissions, ozone depletion, and related matters of atmospheric chemistry and physics. This category is not referred to again in this chapter.

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The efficient computation of matrix function vector products has become an important area of research in recent times, driven in particular by two important applications: the numerical solution of fractional partial differential equations and the integration of large systems of ordinary differential equations. In this work we consider a problem that combines these two applications, in the form of a numerical solution algorithm for fractional reaction diffusion equations that after spatial discretisation, is advanced in time using the exponential Euler method. We focus on the efficient implementation of the algorithm on Graphics Processing Units (GPU), as we wish to make use of the increased computational power available with this hardware. We compute the matrix function vector products using the contour integration method in [N. Hale, N. Higham, and L. Trefethen. Computing Aα, log(A), and related matrix functions by contour integrals. SIAM J. Numer. Anal., 46(5):2505–2523, 2008]. Multiple levels of preconditioning are applied to reduce the GPU memory footprint and to further accelerate convergence. We also derive an error bound for the convergence of the contour integral method that allows us to pre-determine the appropriate number of quadrature points. Results are presented that demonstrate the effectiveness of the method for large two-dimensional problems, showing a speedup of more than an order of magnitude compared to a CPU-only implementation.

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Sherlock Holmes faces his greatest challenge – since his fight to the death with Professor James Moriarty at Reichenbach Falls. Who owns Sherlock Holmes, the world’s greatest detective? Is it the estate of Sir Arthur Conan Doyle? Or the mysterious socialite Andrea Plunket? Or does Sherlock Holmes belong to the public? This is the question currently being debated in copyright litigation in the United States courts, raising larger questions about copyright law and the public domain, the ownership of literary characters, and the role of sequels, adaptations, and mash-ups.

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The highly complex structure of the human brain is strongly shaped by genetic influences. Subcortical brain regions form circuits with cortical areas to coordinate movement, learning, memory and motivation, and altered circuits can lead to abnormal behaviour and disease. To investigate how common genetic variants affect the structure of these brain regions, here we conduct genome-wide association studies of the volumes of seven subcortical regions and the intracranial volume derived from magnetic resonance images of 30,717 individuals from 50 cohorts. We identify five novel genetic variants influencing the volumes of the putamen and caudate nucleus. We also find stronger evidence for three loci with previously established influences on hippocampal volume and intracranial volume. These variants show specific volumetric effects on brain structures rather than global effects across structures. The strongest effects were found for the putamen, where a novel intergenic locus with replicable influence on volume (rs945270; P = 1.08×10 -33; 0.52% variance explained) showed evidence of altering the expression of the KTN1 gene in both brain and blood tissue. Variants influencing putamen volume clustered near developmental genes that regulate apoptosis, axon guidance and vesicle transport. Identification of these genetic variants provides insight into the causes of variability in human brain development, and may help to determine mechanisms of neuropsychiatric dysfunction.

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The arcuate fasciculus (AF), a white matter tract linking temporal and inferior frontal language cortices, can be disrupted in stroke patients suffering from aphasia. Using diffusion tensor imaging (DTI) tractography it is possible to track AF connections to neural regions associated with either phonological or semantic linguistic processing. The aim of the current study is to investigate the relationship between integrity of white matter microstructure and specific linguistic deficits.

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Identifying genetic variants influencing human brain structures may reveal new biological mechanisms underlying cognition and neuropsychiatric illness. The volume of the hippocampus is a biomarker of incipient Alzheimer's disease and is reduced in schizophrenia, major depression and mesial temporal lobe epilepsy. Whereas many brain imaging phenotypes are highly heritable, identifying and replicating genetic influences has been difficult, as small effects and the high costs of magnetic resonance imaging (MRI) have led to underpowered studies. Here we report genome-wide association meta-analyses and replication for mean bilateral hippocampal, total brain and intracranial volumes from a large multinational consortium. The intergenic variant rs7294919 was associated with hippocampal volume (12q24.22; N = 21,151; P = 6.70 × 10 -16) and the expression levels of the positional candidate gene TESC in brain tissue. Additionally, rs10784502, located within HMGA2, was associated with intracranial volume (12q14.3; N = 15,782; P = 1.12 × 10 -12). We also identified a suggestive association with total brain volume at rs10494373 within DDR2 (1q23.3; N = 6,500; P = 5.81 × 10 -7).

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The Enhancing NeuroImaging Genetics through Meta-Analysis (ENIGMA) Consortium is a collaborative network of researchers working together on a range of large-scale studies that integrate data from 70 institutions worldwide. Organized into Working Groups that tackle questions in neuroscience, genetics, and medicine, ENIGMA studies have analyzed neuroimaging data from over 12,826 subjects. In addition, data from 12,171 individuals were provided by the CHARGE consortium for replication of findings, in a total of 24,997 subjects. By meta-analyzing results from many sites, ENIGMA has detected factors that affect the brain that no individual site could detect on its own, and that require larger numbers of subjects than any individual neuroimaging study has currently collected. ENIGMA's first project was a genome-wide association study identifying common variants in the genome associated with hippocampal volume or intracranial volume. Continuing work is exploring genetic associations with subcortical volumes (ENIGMA2) and white matter microstructure (ENIGMA-DTI). Working groups also focus on understanding how schizophrenia, bipolar illness, major depression and attention deficit/hyperactivity disorder (ADHD) affect the brain. We review the current progress of the ENIGMA Consortium, along with challenges and unexpected discoveries made on the way.

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The total entropy utility function is considered for the dual purpose of Bayesian design for model discrimination and parameter estimation. A sequential design setting is proposed where it is shown how to efficiently estimate the total entropy utility for a wide variety of data types. Utility estimation relies on forming particle approximations to a number of intractable integrals which is afforded by the use of the sequential Monte Carlo algorithm for Bayesian inference. A number of motivating examples are considered for demonstrating the performance of total entropy in comparison to utilities for model discrimination and parameter estimation. The results suggest that the total entropy utility selects designs which are efficient under both experimental goals with little compromise in achieving either goal. As such, the total entropy utility is advocated as a general utility for Bayesian design in the presence of model uncertainty.

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Big Datasets are endemic, but they are often notoriously difficult to analyse because of their size, heterogeneity, history and quality. The purpose of this paper is to open a discourse on the use of modern experimental design methods to analyse Big Data in order to answer particular questions of interest. By appealing to a range of examples, it is suggested that this perspective on Big Data modelling and analysis has wide generality and advantageous inferential and computational properties. In particular, the principled experimental design approach is shown to provide a flexible framework for analysis that, for certain classes of objectives and utility functions, delivers near equivalent answers compared with analyses of the full dataset under a controlled error rate. It can also provide a formalised method for iterative parameter estimation, model checking, identification of data gaps and evaluation of data quality. Finally, it has the potential to add value to other Big Data sampling algorithms, in particular divide-and-conquer strategies, by determining efficient sub-samples.