Numerical PDE Analysis of Retinal Neovascularization PDF Download
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Author: William E. Schiesser
Publisher: Academic Press
ISBN: 0128184531
Category : Science
Languages : en
Pages : 146
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Book Description
Numerical PDE Analysis of Retinal Neovascularization Mathematical Model Computer Implementation in R provides a methodology for the analysis of neovascularization (formation of blood capillaries) in the retina. It describes the starting point—a system of three partial differential equations (PDEs)—that define the evolution of (1) capillary tip density, (2) blood capillary density and (3) concentration of vascular endothelial growth factor (VEGF) in the retina as a function of space (distance along the retina), x, and time, t, the three PDE dependent variables for (1), (2) and (3), and designated as u1(x, t), u2(x, t), u3(x, t), amongst other topics. - Includes PDE routines based on the method of lines (MOL) for computer-based implementation of PDE models - Offers transportable computer source codes for readers in R, with line-by-line code descriptions as it relates to the mathematical model and algorithms - Authored by a leading researcher and educator in PDE models
Author: William E. Schiesser
Publisher: Academic Press
ISBN: 0128184531
Category : Science
Languages : en
Pages : 146
Get Book Here
Book Description
Numerical PDE Analysis of Retinal Neovascularization Mathematical Model Computer Implementation in R provides a methodology for the analysis of neovascularization (formation of blood capillaries) in the retina. It describes the starting point—a system of three partial differential equations (PDEs)—that define the evolution of (1) capillary tip density, (2) blood capillary density and (3) concentration of vascular endothelial growth factor (VEGF) in the retina as a function of space (distance along the retina), x, and time, t, the three PDE dependent variables for (1), (2) and (3), and designated as u1(x, t), u2(x, t), u3(x, t), amongst other topics. - Includes PDE routines based on the method of lines (MOL) for computer-based implementation of PDE models - Offers transportable computer source codes for readers in R, with line-by-line code descriptions as it relates to the mathematical model and algorithms - Authored by a leading researcher and educator in PDE models
Author: W.E. Schiesser
Publisher: CRC Press
ISBN: 1000763730
Category : Medical
Languages : en
Pages : 276
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Book Description
Time delayed (lagged) variables are an inherent feature of biological/physiological systems. For example, infection from a disease may at first be asymptomatic, and only after a delay is the infection apparent so that treatment can begin. Thus, to adequately describe physiological systems, time delays are frequently required and must be included in the equations of mathematical models. The intent of this book is to present a methodology for the formulation and computer implementation of mathematical models based on time delay ordinary differential equations (DODEs) and partial differential equations (DPDEs). The DODE/DPDE methodology is presented through a series of example applications, particularly in biomedical science and engineering (BMSE). The computer-based implementation of the example models is explained with routines coded (programmed) in R, a quality, open-source scientific computing system that is readily available from the Internet. Formal mathematics is minimized, for example, no theorems and proofs. Rather, the presentation is through detailed examples that the reader/researcher/analyst can execute on modest computers. The DPDE analysis is based on the method of lines (MOL), an established general algorithm for PDEs, implemented with finite differences. The example applications can first be executed to confirm the reported solutions, then extended by variation of the parameters and the equation terms, and even the formulation and use of alternative DODE/DPDE models.
Author:
Publisher:
ISBN:
Category : Ophthalmology
Languages : en
Pages : 992
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Book Description
Author:
Publisher:
ISBN:
Category : Medicine
Languages : en
Pages : 852
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Book Description
Author: Jackson Laboratory (Bar Harbor, Me.)
Publisher:
ISBN:
Category : Genetics
Languages : en
Pages : 244
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Book Description
Author: Charles P. Wilkinson
Publisher: Elsevier Health Sciences
ISBN: 0323401988
Category : Medical
Languages : en
Pages : 2893
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Book Description
The undisputed gold standard text in the field, Ryan's Retina is your award-winning choice for the most current, authoritative information on new technologies, surgical approaches, scientific advances and diagnostic and therapeutic options for retinal diseases and disorders. Packed with timely updates throughout, new illustrations, and a dedicated team of editors who extend Dr. Ryan’s legacy in retina, this outstanding 6th Edition is a must-have reference for retinal specialists, ophthalmologists, and fellows in training. Offers the most comprehensive content available on retina, balancing the latest scientific research and clinical correlations, covering everything you need to know on retinal diagnosis, treatment, development, structure, function, and pathophysiology. Provides a truly global perspective from five highly esteemed section editors and more than 350 other world authorities from across Europe, Asia, Australasia, and the Americas. Bullets Includes new chapters on widefield imaging, intraoperative OCT imaging, medical management of diabetes mellitus and age-related macular degeneration, and senile retinoschisis. Includes more than 1,150 brand-new illustrations, scans, and photographs throughout. Covers the explosion of new imaging options across optical coherence tomography (OCT), fundus imaging, and autofluorescence imaging, including a greatly expanded OCT imaging chapter that features crucial information on OCT-Angiography (OCT-A). Presents new pharmacotherapy data and the latest approaches in anti-VEGF therapy for age-related macular degeneration, diabetic retinopathy, and venous occlusive disease. Contains thorough content updates in every area of retina, including advanced imaging technologies, gene therapy, inflammation and immune responses, white dot syndromes, epigenetic mechanisms, transplantation frontiers to improve retinal function, macular hole, myopic eye disease, ocular trauma, drug delivery to the posterior segment, advances in macular surgery, vitrectomy and complex retinal detachment, tumors, and retinal genetics and biology.
Author: Robert E. Anderson
Publisher: Springer Science & Business Media
ISBN: 9780306466793
Category : Medical
Languages : en
Pages : 384
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Book Description
Since 1984, we have organized satellite symposia on retinal degenerations that are held in conjunction with the biennial International Congress of Eye Research. The timing and location of our Retinal Degeneration Symposia have allowed scientists and clinicians from around the world to convene and present their exciting new findings. The symposia have been arranged to allow ample time for discussions and one-on-one interactions in a relaxed atmosphere, where international friendships and collaborations could be established. The IXth International Symposium on Retinal Degeneration was held on October 9-14, 2000 in Durango, Colorado and was attended by over 100 scientists from six continents. This book contains many of their presentations. Several events of note occurred at this meeting. First, thanks to the generous support of the Foundation Fighting Blindness, we were able to sponsor the travel of 11 young scientists from six countries. Most of them have contributed chapters to this volume. The response to the travel program was so overwhelming that we will make it regular feature of our meeting. This will allow other bright, young investigators to be introduced to the world experts who study retinal degenerations. Second, about 40% of the scientists who attended this meeting were there for the first time. We believe that this indicates a growing interest in retinal degeneration research and ensures that new talent will be attracted to this important area of investigation. The symposium received support from several organizations.
Author:
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Category :
Languages : en
Pages : 112
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Book Description
Author: Eric C.R. Reeve
Publisher: Routledge
ISBN: 1134263570
Category : Reference
Languages : en
Pages : 1004
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Book Description
The Encyclopedia includes 125 entries, beginning with the origins of genetics including historical background on the work of Gregor Mendel and Charles Darwin, and progressing to the structure of DNA and modern theories such as selfish genes. All branches of genetics are covered, including the genetics of bacteria, viruses, insects, animals and plants, as well as humans. Important topical issues such as the human genome project, bioethics, the law and genetics, genetic disorders, GM crops, and the use of transgenic animals for food and pharmaceutical products are fully surveyed. A section on techniques and biotechnology includes modern methods of analysis, from DNA fingerprinting to the new science of bioinformatics. The articles, all written by specialists, are largely non-mathematical and progress from general concepts to deeper understanding. Each essay is fully referenced, with suggestions for further reading. The text is supplemented by extensive illustrations, tables and a color plate section. The Encyclopedia of Genetics will be a valuable companion for all those working or studying in the various fields of genetical research, and a fascinating reference for all readers with a basic background in biology. Also includes color inserts.
Author: Josef F. Bille
Publisher: Springer
ISBN: 3030166384
Category : Medical
Languages : en
Pages : 411
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Book Description
This open access book provides a comprehensive overview of the application of the newest laser and microscope/ophthalmoscope technology in the field of high resolution imaging in microscopy and ophthalmology. Starting by describing High-Resolution 3D Light Microscopy with STED and RESOLFT, the book goes on to cover retinal and anterior segment imaging and image-guided treatment and also discusses the development of adaptive optics in vision science and ophthalmology. Using an interdisciplinary approach, the reader will learn about the latest developments and most up to date technology in the field and how these translate to a medical setting. High Resolution Imaging in Microscopy and Ophthalmology – New Frontiers in Biomedical Optics has been written by leading experts in the field and offers insights on engineering, biology, and medicine, thus being a valuable addition for scientists, engineers, and clinicians with technical and medical interest who would like to understand the equipment, the applications and the medical/biological background. Lastly, this book is dedicated to the memory of Dr. Gerhard Zinser, co-founder of Heidelberg Engineering GmbH, a scientist, a husband, a brother, a colleague, and a friend.
