6,555 research outputs found
Boundary Layers
1 1 Boundary-Layer Behavior 1 2 Extension Theorems 5 3 Regularization 8 4 Matching Asymptotic Approximations 16 Index 20 iv ASYMPTOTIC ANALYSIS Working Note #3 BOUNDARY LAYERS by Marc Garbey and Hans G. Kaper Abstract In this chapter we discuss the asymptotic approximation of functions that display boundary-layer behavior. Our purpose here is to introduce the basic concepts underlying the phenomenon, to illustrate its importance, and to describe some of the fundamental tools available for its analysis. To achieve our purpose in the clearest way possible, we shall work with functions that are assumed to be given explicitly---that is, functions f : (0; ffl 0 ) ! X whose expressions are known, at least in principle. Only in the following chapter shall we begin the study of functions that are given implicitly as solutions of boundary value problems---the real stuff of which singular perturbation theory is made. Boundary-layer behavior is associated with asymptotic expansions that are..
The Future of Canadian Climate Policy — with Marc Lee
Marc Lee is a Senior Economist at the Canadian Centre for Policy Alternatives\u27 BC Office. In addition to tracking federal and provincial budgets and economic trends, Marc has published on a range of topics from poverty and inequality to globalization and international trade to public services and regulation. Marc is the Co-Director of the Climate Justice Project, a research partnership with UBC\u27s School of Community and Regional Planning that examines the links between climate change policies and social justice.Resources:Climate Justice Project: www.policyalternatives.ca/projects/cli…tice-projectMarc Lee\u27s Posts on Policy Note: www.policynote.ca/author/marclee/Canadian Centre for Policy Alternatives: www.policyalternatives.ca/Marc\u27s Twitter: twitter.com/MarcLeeCCPA International Panel on Climate Change, 2021 report: www.ipcc.ch/report/ar6/wg1
A robust construction algorithm of the centerline skeleton for complex aortic vascular structure using computational fluid dynamics
Centerlines of blood vessels are useful tools to make important anatomical measurements (length, diameter, area),
which cannot be accurately obtained using 2D images. In this paper a brand new method for centerline extraction
of vascular trees is presented. By using computational fluid dynamics (CFD) we are able to obtain a robust and
purely functional centerline allowing us to support better measurements than classic purely geometrical-based
centerlines. We show that the CFD-based centerline is within a few pixels from the geometrical centerline where
the latter is defined (far away from inlet/outlets and from the branches). We show that the centerline computed
with our method is not affected by traditional errors of other classical volume-based algorithms such as topo-
logical thinning, and could be a potential alternative to be considered for future studies
Climate Justice & Inequality: The Future of Canadian Climate Policy — with Marc Lee
Marc Lee is a Senior Economist at the Canadian Centre for Policy Alternatives\u27 BC Office. In addition to tracking federal and provincial budgets and economic trends, Marc has published on a range of topics from poverty and inequality to globalization and international trade to public services and regulation. Marc is the Co-Director of the Climate Justice Project, a research partnership with UBC\u27s School of Community and Regional Planning that examines the links between climate change policies and social justice.Resources: Climate Justice Project: https://www.policyalternatives.ca/projects/climate-justice-projectMarc Lee\u27s Posts on Policy Note: https://www.policynote.ca/author/marclee/Canadian Centre for Policy Alternatives: https://www.policyalternatives.ca/Marc\u27s Twitter: https://twitter.com/MarcLeeCCPA International Panel on Climate Change, 2021 report: https://www.ipcc.ch/report/ar6/wg1
Basic Concepts And Definitions
1 1 From Euler to Poincar'e 1 2 Order Relations 3 3 Order Functions 5 4 Asymptotic Sequences and Asymptotic Series 5 5 Gauge Sets 7 6 Asymptotic Approximations and Asymptotic Expansions 7 7 Regular Initial Value Problems 10 References 14 Index 16 iv ASYMPTOTIC ANALYSIS Working Note #1 BASIC CONCEPTS AND DEFINITIONS by Marc Garbey and Hans G. Kaper Abstract In this note we introduce the basic concepts of asymptotic analysis. After some comments of historical interest (Section 1), we begin by defining the order relations O, o, and O ] , which enable us to compare the asymptotic behavior of functions of a small positive parameter ffl as ffl # 0 (Section 2). Next, we introduce order functions (Section 3), asymptotic sequences of order functions (Section 4), and more general gauge sets of order functions (Section 5) and define the concepts of an asymptotic approximation and an asymptotic expansion with respect to a given gauge set (Section 6). This string of definitions culminates in..
Approximation Of Integrals
1 1 Integration by Parts 1 2 Laplace Integrals 3 3 Laplace's Method 5 4 Fourier Integrals 8 5 Stokes' Method of Stationary Phase 11 References 16 Index 17 iv ASYMPTOTIC ANALYSIS Working Note #2 APPROXIMATION OF INTEGRALS by Marc Garbey and Hans G. Kaper Abstract In this note we discuss the approximation of integrals that depend on a parameter. The basic tool is simple, namely, integration by parts (Section 1). Of course, the power of the tool is evidenced in applications. The applications are many; they include Laplace integrals (Section 2), generalized Laplace integrals (Section 3), Fourier integrals (Section 4), and Stokes' method of stationary phase for generalized Fourier integrals (Section 5). These results illustrate beautifully Hardy's concept of applications of mathematics, that is, "certain regions of mathematical theory in which the notation and the ideas of the [method of integration by parts] may be used systematically with a great gain in clearness and simplicity" [G...
Computational surgery and dual training: computing, robotics and imaging
This critical volume focuses on the use of medical imaging, medical robotics, simulation, and information technology in surgery. It offers a road map for computational surgery success, discusses the computer-assisted management of disease and surgery, and provides a rational for image processing and diagnostic. This book also presents some advances on image-driven intervention and robotics, as well as evaluates models and simulations for a broad spectrum of cancers as well as cardiovascular, neurological, and bone diseases. Training and performance analysis in surgery assisted by robotic systems is also covered. This book also: · Provides a comprehensive overview of the use of computational surgery and disease management · Discusses the design and use of medical robotic tools for orthopedic surgery, endoscopic surgery, and prostate surgery · Provides practical examples and case studies in the areas of image processing, virtual surgery, and simulation training Computational Surgery and Dual Training: Computing, Robotics and Imaging is an ideal book for graduate students and professionals in the area of bioengineering, computational science, computational medicine, and medical residents in surgery
UKMARC AMC: Draft Rev 4.0: UK MARC format for archives and manuscripts control (UK MARC AMC)
This draft is the first attempt to establish a UK MARC specifically for Archives and Manuscripts Control since the British Library indicated that it would countenance such extensions to the national UK MARC format. In order to keep consistency with the general UK MARC format, standard UK MARC subject fields are not included in this document, since they should be taken from the latest version of the UK MARC manual. {A note of them should perhaps be included in UK MARC AMC.} {NB Text in braces is intended to be explanatory material for readers of this draft}. Certain other fields have not been included that might occasionally be used in the cataloguing of archival materials but would generally only be used for such materials in organizations which were combining archive
databases with library databases. This MARC version is intended for use with descriptions of archive or anuscript material that follow, or fit, the traditional style of cataloguing: we assume that these will normally relate
to paper or parchment originals. It is not intended for use with descriptions of other kinds of material. For these, fields may be drawn from the appropriate UK MARC document. MARC versions for use with archives in special formats should be developed, in order to complete the full range of facilities available to archivists and curators
A fully coupled computational fluid dynamics – agent-based model of atherosclerotic plaque development: Multiscale modeling framework and parameter sensitivity analysis
Background: Peripheral Artery Disease (PAD) is an atherosclerotic disorder that leads to impaired lumen patency through intimal hyperplasia and the build-up of plaques, mainly localized in areas of disturbed flow. Computational models can provide valuable insights in the pathogenesis of atherosclerosis and act as a predictive tool to optimize current interventional techniques. Our hypothesis is that a reliable predictive model must include the atherosclerosis development history. Accordingly, we developed a multiscale modeling framework of atherosclerosis that replicates the hemodynamic-driven arterial wall remodeling and plaque formation.
Methods: The framework was based on the coupling of Computational Fluid Dynamics (CFD) simulations with an Agent-Based Model (ABM). The CFD simulation computed the hemodynamics in a 3D artery model, while 2D ABMs simulated cell, Extracellular Matrix (ECM) and lipid dynamics in multiple vessel cross-sections. A sensitivity analysis was also performed to evaluate the oscillation of the ABM output to variations in the inputs and to identify the most influencing ABM parameters.
Results: Our multiscale model qualitatively replicated both the physiologic and pathologic arterial configuration, capturing histological-like features. The ABM outputs were mostly driven by cell and ECM dynamics, largely affecting the lumen area. A subset of parameters was found to affect the final lipid core size, without influencing cell/ECM or lumen area trends.
Conclusion: The fully coupled CFD-ABM framework described atherosclerotic morphological and compositional changes triggered by a disturbed hemodynamics
MARC 21 para recursos contínuos
Translation and adaptation of the MARC 21 Format for Bibliographic Data, and MARC 21 Format for Holdings Data, Network Development and MARC Standards Office, Library of Congress, USA, by Angela Salles. Rio de Janeiro, 2010. 2 v. V.1 MARC 21 format for bibliographic data (updated until October 2010). V.2 MARC 21 format for data collection (Holdings) (updated until October 2008)
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