numerical pde analysis of retinal neovascularization mathematical model computer implementation in r

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Numerical PDE Analysis of Retinal Neovascularization
Author : William E. Schiesser
Publisher : Academic Press
Release Date : 2019-06-14
ISBN 10 : 0128184531
Pages : 144 pages

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

Ocular Fluid Dynamics
Author : Giovanna Guidoboni,Alon Harris,Riccardo Sacco
Publisher : Springer Nature
Release Date : 2019-11-25
ISBN 10 : 3030258866
Pages : 612 pages

The chapters in this contributed volume showcase current theoretical approaches in the modeling of ocular fluid dynamics in health and disease. By including chapters written by experts from a variety of fields, this volume will help foster a genuinely collaborative spirit between clinical and research scientists. It vividly illustrates the advantages of clinical and experimental methods, data-driven modeling, and physically-based modeling, while also detailing the limitations of each approach. Blood, aqueous humor, vitreous humor, tear film, and cerebrospinal fluid each have a section dedicated to their anatomy and physiology, pathological conditions, imaging techniques, and mathematical modeling. Because each fluid receives a thorough analysis from experts in their respective fields, this volume stands out among the existing ophthalmology literature. Ocular Fluid Dynamics is ideal for current and future graduate students in applied mathematics and ophthalmology who wish to explore the field by investigating open questions, experimental technologies, and mathematical models. It will also be a valuable resource for researchers in mathematics, engineering, physics, computer science, chemistry, ophthalmology, and more.

Computer Vision for Biomedical Image Applications
Author : Yanxi Liu,Tianzi Jiang,China) Cvbia 200 (2005 Beijing,Changshui Zhang
Publisher : Springer Science & Business Media
Release Date : 2005-10-10
ISBN 10 : 9783540294115
Pages : 563 pages

This book constitutes the refereed proceedings of the First International Workshop on Computer Vision for Biomedical Image Applications: Current Techniques and Future Trends, CVBIA 2005, held in Beijing, China, in October 2005 within the scope of ICCV 20.

Adaptive Method of Lines
Author : A, Vande Wouwer,Ph. Saucez,W.E. Schiesser
Publisher : CRC Press
Release Date : 2001-04-18
ISBN 10 : 1420035614
Pages : 432 pages

The general Method of Lines (MOL) procedure provides a flexible format for the solution of all the major classes of partial differential equations (PDEs) and is particularly well suited to evolutionary, nonlinear wave PDEs. Despite its utility, however, there are relatively few texts that explore it at a more advanced level and reflect the method's current state of development. Written by distinguished researchers in the field, Adaptive Method of Lines reflects the diversity of techniques and applications related to the MOL. Most of its chapters focus on a particular application but also provide a discussion of underlying philosophy and technique. Particular attention is paid to the concept of both temporal and spatial adaptivity in solving time-dependent PDEs. Many important ideas and methods are introduced, including moving grids and grid refinement, static and dynamic gridding, the equidistribution principle and the concept of a monitor function, the minimization of a functional, and the moving finite element method. Applications addressed include shallow water flow, combustion and flame propagation, transport in porous media, gas dynamics, chemical engineering processes, solitary waves, and magnetohydrodynamics. As the first advanced text to represent the modern era of the method of lines, this monograph offers an outstanding opportunity to discover new concepts, learn new techniques, and explore a wide range of applications.

High Resolution Imaging in Microscopy and Ophthalmology
Author : Josef F. Bille
Publisher : Springer
Release Date : 2019-08-13
ISBN 10 : 3030166384
Pages : 407 pages

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.

Absolute Rheumatology Review
Author : Petros Efthimiou
Publisher : Springer Nature
Release Date : 2019-09-13
ISBN 10 : 3030230228
Pages : 478 pages

This book provides a concise and up-to-date review of key rheumatology topics along with extensive practice questions to assist in preparing for the American Board of Internal Medicine (ABIM) Rheumatology Certification Exam. Each chapter focuses on a single disease and starts with a short review (primarily tables and figures) to highlight the main points and key issues. The review is followed by 10-20 board-style multiple choice questions with detailed explanations for each topic. The chapters and associated preparation questions are written by established experts from top institutions in the United States. The book concludes with a 50-question practice test reflecting the format used by the ABIM Board Certification Exam. Absolute Rheumatology Review is an essential resource for not only graduate students, residents, and fellows in rheumatology and internal medicine studying for board exams but also rheumatologists, physicians, and related professionals preparing for recertification.

Biological, Physical and Technical Basics of Cell Engineering
Author : Gerhard M. Artmann,Aysegül Artmann,Azhar A. Zhubanova,Ilya Digel
Publisher : Springer
Release Date : 2018-04-11
ISBN 10 : 9811079048
Pages : 481 pages

This book presents and discusses recent scientific progress on Cell and Stem Cell Engineering. It predominantly focuses on Biological, Physical and Technical Basics, and features new trends of research reaching far into the 21st century.

Ocular Disease: Mechanisms and Management E-Book
Author : Leonard A Levin,Daniel M. Albert
Publisher : Elsevier Health Sciences
Release Date : 2010-03-10
ISBN 10 : 0702047414
Pages : 704 pages

Ocular Disease—a newly introduced companion volume to the classic Adler’s Physiology of the Eye—correlates basic science and clinical management to describe the how and why of eye disease processes and the related best management protocols. Editors Leonard A. Levin and Daniel M. Albert—two of the world’s leading ophthalmic clinician-scientists—have recruited as contributors the most expert and experienced authorities available in each of the major areas of ophthalmic disease specific to ophthalmology: retina, cornea, cataract, glaucoma, uveitis, and more. The concise chapter structure features liberal use of color—with 330 full-color line artworks, call-out boxes, summaries, and schematics for easy navigation and understanding. This comprehensive resource provides you with a better and more practical understanding of the science behind eye disease and its relation to treatment. Covers all areas of disease in ophthalmology including retina, cornea, cataract, glaucoma, and uveitis for the comprehensive information you need for managing clinical cases. Presents a unique and pragmatic blend of necessary basic science and clinical application to serve as a clinical guide to understanding the cause and rational management of ocular disease. Features 330 full-color line artworks that translate difficult concepts and discussions into concise schematics for improved understanding and comprehension. Provides the expert advice of internationally recognized editors with over 40 years of experience together with a group of world class contributors in basic science and clinical ophthalmology.

Recent Advances in Intelligent Informatics
Author : Sabu M. Thampi,Ajith Abraham,Sankar Kumar Pal,Juan Manuel Corchado Rodriguez
Publisher : Springer Science & Business Media
Release Date : 2013-07-30
ISBN 10 : 3319017780
Pages : 466 pages

This book constitutes the thoroughly refereed post-conference proceedings of the Second International Symposium on Intelligent Informatics (ISI 2013) held in Mysore, India during August 23-24, 2013. The 47 revised papers presented were carefully reviewed and selected from 126 initial submissions. The papers are organized in topical sections on pattern recognition, signal and image processing; data mining, clustering and intelligent information systems; multi agent systems; and computer networks and distributed systems. The book is directed to the researchers and scientists engaged in various fields of intelligent informatics.

Computational Mathematics in Engineering and Applied Science
Author : W.E. Schiesser
Publisher : CRC Press
Release Date : 2014-07-22
ISBN 10 : 1498710662
Pages : 608 pages

Computational Mathematics in Engineering and Applied Science provides numerical algorithms and associated software for solving a spectrum of problems in ordinary differential equations (ODEs), differential algebraic equations (DAEs), and partial differential equations (PDEs) that occur in science and engineering. It presents detailed examples, each

Bioeffects and Therapeutic Applications of Electromagnetic Energy
Author : Riadh Habash
Publisher : CRC Press
Release Date : 2007-11-19
ISBN 10 : 9781420062854
Pages : 400 pages

From cell phones to treating cancer, EM energy plays a part in many of the innovations that we take for granted everyday. A basic force of nature, like nuclear energy or gravity, this energy can be harnessed and used, but still holds the potential to be harmful. The question remains, how safe are EM products? Bioeffects and Therapeutic Applications of Electromagnetic Energy provides a review of cutting-edge research in EM health effects and EM therapy along with emerging areas of bioengineering and biomedical engineering. The book allows you to · Understand the necessary EM theory in the context of its interaction with the human body · Review cutting-edge research on EM health effects and EM therapy · Explore techniques developed to ensure adequate EM and thermal dosimetry required for health effects and thermal therapy · Strengthen your understanding of the rapidly emerging areas of bioengineering and biomedical engineering Taking a transdisciplinary approach drawn from several intellectual streams that include physics, epidemiology, medicine, environment, risk assessment, and various disciplines of engineering, this book ventures into the conflicting studies to access research on bioeffects and therapeutic applications of EM energy. It is the only resource currently available that covers bioeffects and risk assessment of both extremely low frequency (ELF) fields and radiofrequency radiation (RFR) along with the recent developments in thermal therapy and imaging techniques.

Atlas of Ocular Blood Flow
Author : Alon Harris
Publisher : Butterworth-Heinemann
Release Date : 2010
ISBN 10 : 9781437717372
Pages : 119 pages

In the second edition of Atlas of Ocular Blood Flow, Dr. Alon Harris details the vascular anatomy and physiology of the eye, analyzes the eye's blood supply, and evaluates the latest technologies available for assessing patients. He shows you how irregular ocular blood flow patterns can indicate systemic or medication-related conditions, and presents images and actual case reports to illustrate the use of new technologies such as OCT with Doppler application and non-invasive retinal oximetry. With more than 400 illustrations, most in full color, this is the only atlas worldwide that gives you pictorial presentations, anatomical illustrations, and detailed descriptions of the methods available to measure blood flow. Gain a clear understanding of the anatomy/physiology of the blood supply to and within the eye to help make more effective clinical decisions. Analyze the potential effects of blood flow changes in various eye illnesses to see how they are influenced by diseases like glaucoma and age-related macular degeneration. Rely on the extensive experience of the authors in implementing new technologies to better access ocular circulation. Diagnose ocular, systemic, or medication-related conditions in patients by measuring their ocular blood flow. Master the newest techniques and glimpse new technologies that will be available for assessing ocular blood flow in the future. Visualize anatomy, techniques, and imaging findings with more than 400 illustrations.