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ISBN: 9780387097169 9780387097152 Year: 2009 Publisher: New York NY Springer New York Imprint Springer
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Ischemia and Loss of Vascular Autoregulation in Ocular and Cerebral Diseases: A New Perspective presents evidence that ischemia and loss of autoregulation of blood flow are associated with the onset of the major ocular and cerebral diseases including macular degeneration, diabetic retinopathy, low and normal tension open angle glaucoma, stroke and Alzheimer's disease. Recognition of these vascular changes underline the critical need for clinicians to monitor blood flow and autoregulation to improve early diagnosis and to optimize therapies of ocular and cerebral vascular diseases. The text brings to clinicians in Ophthalmology, Neurology, Medicine, Optometry and Geriatrics decisive guidance on the practical aspects for early diagnosis and treatment of ocular and cerebral diseases. The author brings together in a concise form the progress made over the span of his career and provides new perspectives and understanding of the fluid circulations of the eye and the brain. In addition, he explains the new analytical technologies that made the new concepts possible. The physiological and functional importance of blood flow autoregulation in the eye and in the brain in minimizing the progression of pathology, including the ischemia resulting from stenosis of the internal carotid artery and stroke, are also presented . ABOUT THE AUTHOR: Dr. Langham was born in London, England. In 1947, he joined the Ophthalmological Research Unit, newly formed by the Medical Research Council of the United Kingdom under the direction of Sir Stewart Duke-Elder. In 1956, the author enjoyed a research fellowship at Harvard University. After returning to England for a time, he accepted a position of Associate Professor of Ophthalmology and Director of Research at the Wilmer Ophthalmological Institute of the Johns Hopkins Hospital and Medical school in 1959. There he initiated a program in which all residents spent time engaged in research. This productive interaction between the disciplines led to many important clinical diagnostic and therapeutic advances.
Medicine & Public Health. --- Ophthalmology. --- Neurology. --- Biomedicine general. --- Angiology. --- Medicine. --- Angiography. --- Médecine --- Angiographie --- Neurologie --- Ophtalmologie --- Bifurcation theory. --- Differential equations, Partial --- Representations of groups. --- Numerical solutions.
Book
ISBN: 9788847010710 9788847010703 8847010705 8847010713 9786613562357 1280384433 Year: 2009 Volume: 2 Publisher: Milano : Springer Milan : Imprint: Springer,
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In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. We then analyze numerical solution methods based on finite elements, finite differences, finite volumes, spectral methods and domain decomposition methods, and reduced basis methods. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs. The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in a preliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics.
Mathematics. --- Mathematics, general. --- Analysis. --- Numerical Analysis. --- Mathematical Modeling and Industrial Mathematics. --- Applications of Mathematics. --- Computational Mathematics and Numerical Analysis. --- Global analysis (Mathematics). --- Computer science --- Numerical analysis. --- Mathématiques --- Analyse globale (Mathématiques) --- Informatique --- Analyse numérique --- Differential equations, Partial --- Numerical analysis --- Numerical solutions --- Numerical solutions. --- Differential equations, Partial -- Numerical solutions. --- Electronic books. -- local. --- Mathematics --- Mathematical Theory --- Calculus --- Physical Sciences & Mathematics --- Mathematical analysis. --- Analysis (Mathematics). --- Applied mathematics. --- Engineering mathematics. --- Computer mathematics. --- Mathematical models. --- Mathematical analysis --- Models, Mathematical --- Simulation methods --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Engineering --- Engineering analysis --- 517.1 Mathematical analysis --- Math --- Science --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Differential equations, Partial - Numerical solutions
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