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 : 144
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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 : 144
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 : 235
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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. 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.
Author: Neil J. Friedman
Publisher: Elsevier Health Sciences
ISBN: 1416061754
Category : Medical
Languages : en
Pages : 661
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Book Description
With high quality color images combined with up-to-date treatment guidelines and a proven template, the third edition of The Massachusetts Eye and Ear Infirmary Illustrated Manual of Ophthalmology is a vital companion for every ophthalmic trainee, primary care practitioner and emergency trauma unit. The bonus PDA software allows you to access the entire contents of the manual on the go. Provides thorough, easily accessible and up-to-date information for all common eye disorders, creating an all-in-one resource for quick diagnosis and treatment. Uses highlighted emergency management boxes for a clear presentation of the crucial treatment of critical situations. Follows a templated format with key boxes highlighting important information. Presents full-color photographs throughout so you can compare real case presentations for more accurate diagnosis. Orders chapters anatomically (not by ophthalmic subspecialty) making it easier to locate the desired information by looking at the effected area. Provides a complete and thorough update with expanded sections, including age related macular degeneration, diabetic retinopathy, uveitis, glaucoma, dry eye, and refractive surgeries. Incorporates over 100 new high quality clinical color photos plus spectral domain OCT, CT scan, fluorescein angiogram, visual field, and corneal topography images. Adds brand new appendices outlining basic eye care and differential diagnosis information to help minimize wasted time in the clinic. Offers immediate and convenient access to the whole manual when on the go with bonus PDA software.
Author: William E. Schiesser
Publisher: Springer Nature
ISBN: 3031016653
Category : Technology & Engineering
Languages : en
Pages : 97
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Book Description
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.
Author:
Publisher:
ISBN:
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.
