Numerical Pde Analysis Of Retinal Neovascularization
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Numerical PDE Analysis of Retinal Neovascularization by William E. Schiesser Pdf
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
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.
Charles P. Wilkinson,David R. Hinton,SriniVas R. Sadda,Peter Wiedemann
Author : Charles P. Wilkinson,David R. Hinton,SriniVas R. Sadda,Peter Wiedemann Publisher : Elsevier Health Sciences Page : 2893 pages File Size : 52,5 Mb Release : 2017-04-17 Category : Medical ISBN : 9780323401982
Ryan's Retina E-Book by Charles P. Wilkinson,David R. Hinton,SriniVas R. Sadda,Peter Wiedemann Pdf
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. Features an expanded online video library highlighting the latest surgical techniques and new coverage of complications of vitreoretinal surgery. 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. Expert ConsultTM eBook version included with purchase. This enhanced eBook experience allows you to search all of the text, figures, Q&As, and references from the book on a variety of devices.
Robert E. Anderson,Joe G. Hollyfield,Matthew M. LaVail
Author : Robert E. Anderson,Joe G. Hollyfield,Matthew M. LaVail Publisher : Springer Science & Business Media Page : 363 pages File Size : 45,6 Mb Release : 2012-12-06 Category : Medical ISBN : 9781461529743
Retinal Degeneration by Robert E. Anderson,Joe G. Hollyfield,Matthew M. LaVail Pdf
During the last few years, an explosion of infonnation has come from human genetics and molecular and cell biological studies as to the genetic basis for a number of fonns of inherited retinal degenerations. These disorders have plagued mankind for millennia because they take from otherwise healthy individuals the precious gift of sight. The fundamental advances in recent years have identified a number of genes involved in the groups of diseases which hopefully will lead to discoveries that may, in the not too distant future, allow the prevention and possible cure of some of these blinding eye disorders. To foster a forum for discussions of studies on degenerative retinal disorders, we convened a symposium on retinal degenerations in 1984, at the VIth International Congress of Eye Research Meeting, held in Alicante, Spain. Because of the success of this meeting and the subsequent publication, we have since organized a series of biennial satellite meetings on retinal degenerations for the ISER congresses held in Nagoya, Japan (1986), San Francisco (1988) and Helsinki (1990). Each of these satellite symposium on retinal degenerations was accompanied by a published proceedings volume. This volume is the fifth in this series and contains the proceedings of the Sardinia Symposium on Retinal Degeneration held September 15-20, 1992, as a satellite meeting of the 10th International Congress of Eye Research.
Spatiotemporal Modeling of Influenza by William E. Schiesser Pdf
This book has a two-fold purpose: (1) An introduction to the computer-based modeling of influenza, a continuing major worldwide communicable disease. (2) The use of (1) as an illustration of a methodology for the computer-based modeling of communicable diseases. For the purposes of (1) and (2), a basic influenza model is formulated as a system of partial differential equations (PDEs) that define the spatiotemporal evolution of four populations: susceptibles, untreated and treated infecteds, and recovereds. The requirements of a well-posed PDE model are considered, including the initial and boundary conditions. The terms of the PDEs are explained. The computer implementation of the model is illustrated with a detailed line-by-line explanation of a system of routines in R (a quality, open-source scientific computing system that is readily available from the Internet). The R routines demonstrate the straightforward numerical solution of a system of nonlinear PDEs by the method of lines (MOL), an established general algorithm for PDEs. The presentation of the PDE modeling methodology is introductory with a minumum of formal mathematics (no theorems and proofs), and with emphasis on example applications. The intent of the book is to assist in the initial understanding and use of PDE mathematical modeling of communicable diseases, and the explanation and interpretation of the computed model solutions, as illustrated with the influenza model.
Robert E. Anderson,Matthew M. LaVail,Joe G. Hollyfield
Author : Robert E. Anderson,Matthew M. LaVail,Joe G. Hollyfield Publisher : Springer Science & Business Media Page : 384 pages File Size : 41,8 Mb Release : 2001-12-31 Category : Medical ISBN : 0306466791
New Insights Into Retinal Degenerative Diseases by Robert E. Anderson,Matthew M. LaVail,Joe G. Hollyfield Pdf
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.
Macular Dystrophies by Giuseppe Querques,Eric Souied Pdf
This book provides the ophthalmologist with the most recently available data on the macular dystrophies, a group of many different inherited or sporadic eye conditions linked by a problem with photoreceptors or other structures of the central retina. Internationally recognized experts in the field present the latest evidence and discuss their own personal experiences with regard to each of the principal dystrophies as well as some very rare entities. Topics covered include molecular biology, state-of-the-art diagnostic techniques, and the newest treatment options, including still experimental therapies. Attention is also devoted to a range of issues that continue to be debated. The editors have taken care to ensure that chapters are of a uniformly high standard while not sacrificing the originality of the individual authors. Macular Dystrophies will fully acquaint the reader with both the latest research findings and the current and emerging approaches to diagnosis and treatment.
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.
Management of Diabetic Retinopathy by F. Bandello,M.A. Zarbin,R. Lattanzio,I. Zucchiatti Pdf
Recently developed diagnostic and therapeutic technologies such as OCT-angiography and small gauge vitrectomy have influenced the modern treatment of diabetic retinopathy. This volume provides a summary of the state-of-the-art evidence-based approach to managing complications that may occur with diabetic retinopathy. It offers the latest information on pathogenesis and diagnosis, and highly experienced clinicians review the results of relevant randomized clinical trials that serve as the basis of current therapy. The book provides not only a summary of data from randomized trials but also an analysis and interpretation by internationally renowned experts. Ophthalmology residents, fellows, and practicing clinicians will find this book to be a useful reference when seeking evidence-based treatment strategies for various complications of diabetic retinopathy. It is also for researchers identifying new avenues of drug developments and for insurance professionals and health care policy administrators who are establishing evidence-based therapy guidelines for therapeutic intervention.
Robert E. Anderson,Matthew M. LaVail,Joe G. Hollyfield
Author : Robert E. Anderson,Matthew M. LaVail,Joe G. Hollyfield Publisher : Springer Science & Business Media Page : 422 pages File Size : 40,5 Mb Release : 2007-12-03 Category : Medical ISBN : 9780387749044
Recent Advances In Retinal Degeneration by Robert E. Anderson,Matthew M. LaVail,Joe G. Hollyfield Pdf
The product of perhaps the most important research meeting in the field, this essential text outlines all the latest research in retinal degeneration. Culled from the proceedings of the International Symposium on the subject, the topics in this volume explore the etiology, cellular mechanisms, epidemiology, models and potential therapeutic measures for the blinding diseases of retinitis pigmentosa and age-related macular degeneration. A must-read for researchers in the field.
Author : James D. Reynolds,Scott E. Olitsky Publisher : Springer Science & Business Media Page : 459 pages File Size : 46,8 Mb Release : 2010-09-14 Category : Medical ISBN : 9783642120411
Pediatric Retina by James D. Reynolds,Scott E. Olitsky Pdf
Pediatric retinal diseases are not simply retinal diseases that occur in children; rather, they are unique disorders that often are not found in adults. This textbook of the pediatric retina offers in-depth guidance on congenital and acquired diseases of the retina in the pediatric population. It is organized according to disease onset and timing, as well as anatomy. All chapters are written by leading authorities in the field from both the pediatric and the retinal perspective. A multidisciplinary approach to the topic is adopted, and critical information is included on disease classification and diagnosis, pathophysiology, genetics, complications, and prognosis. Pediatric Retina will be a useful source of information for pediatric ophthalmologists, retina specialists, and other eye care providers who care for children.
Matthew M. LaVail,Joe G. Hollyfield,Robert E. Anderson
Author : Matthew M. LaVail,Joe G. Hollyfield,Robert E. Anderson Publisher : Springer Science & Business Media Page : 458 pages File Size : 53,9 Mb Release : 2012-12-06 Category : Medical ISBN : 9781461500674
Retinal Degenerations by Matthew M. LaVail,Joe G. Hollyfield,Robert E. Anderson Pdf
The topics in this volume explore the etiology, cellular mechanisms, epidemiology, genetics, models and potential therapeutic measures for the blinding diseases of retinitis pigmentosa and age-related macular degeneration. Special focus is highlighted in the areas of Mechanisms of Photoreceptor Degeneration and Cell Death (extremely important because very little is known how or why photoreceptors die in these diseases, despite an abundance of genetic information), Age-Related Macular Degeneration (with several novel approaches to its analysis), Usher Syndrome (the most severe form of retinitis pigmentosa, which includes an early or congenital loss of hearing along with blindness), and Gene Therapy. In addition, the section on Basic Science Related to Retinal Degeneration is particularly strong with several laboratories reporting on new discoveries in the area of outer segment phagocytosis, a key component of photoreceptor-retinal pigment epithelial cell interactions in normal and degenerating retinas.
