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Numerical Pde Analysis Of Retinal Neovascularization Mathematical Model Computer Implementation In R

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Numerical PDE Analysis of Retinal Neovascularization

Numerical PDE Analysis of Retinal Neovascularization Book
Author : William E. Schiesser
Publisher : Academic Press
Release : 2019-06-14
ISBN : 0128184531
Language : En, Es, Fr & De

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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

ODE PDE Analysis of Multiple Myeloma

ODE PDE Analysis of Multiple Myeloma Book
Author : William E. Schiesser
Publisher : CRC Press
Release : 2020-06-30
ISBN : 1000057275
Language : En, Es, Fr & De

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Book Description :

Multiple myeloma is a form of bone cancer. Specifically, it is a cancer of the plasma cells found in bone marrow (bone soft tissue). Normal plasma cells are an important part of the immune system. Mathematical models for multiple myeloma based on ordinary and partial differential equations (ODE/PDEs) are presented in this book, starting with a basic ODE model in Chapter 1, and concluding with a detailed ODE/PDE model in Chapter 4 that gives the spatiotemporal distribution of four dependent variable components in the bone marrow and peripheral blood: (1) protein produced by multiple myeloma cells, termed the M protein, (2) cytotoxic T lymphocytes (CTLs), (3) natural killer (NK) cells, and (4) regulatory T cells (Tregs). The computer-based implementation of the example models is presented through routines coded (programmed) in R, a quality, open-source scientific computing system that is readily available from the Internet. Formal mathematics is minimized, e.g., no theorems and proofs. Rather, the presentation is through detailed examples that the reader/researcher/analyst can execute on modest computers using the R routines that are available through a download. The PDE analysis is based on the method of lines (MOL), an established general algorithm for PDEs, implemented with finite differences.

Spatiotemporal Modeling of Influenza

Spatiotemporal Modeling of Influenza Book
Author : William E. Schiesser
Publisher : Morgan & Claypool Publishers
Release : 2019-05-06
ISBN : 1681735709
Language : En, Es, Fr & De

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Book Description :

This book has a two-fold purpose: An introduction to the computer-based modeling of influenza, a continuing major worldwide communicable disease. 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.

Ocular Fluid Dynamics

Ocular Fluid Dynamics Book
Author : Giovanna Guidoboni,Alon Harris,Riccardo Sacco
Publisher : Springer Nature
Release : 2019-11-25
ISBN : 3030258866
Language : En, Es, Fr & De

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Book Description :

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.

Recent Trends in Image Processing and Pattern Recognition

Recent Trends in Image Processing and Pattern Recognition Book
Author : K. C. Santosh,Ravindra S. Hegadi
Publisher : Springer
Release : 2019-07-19
ISBN : 9811391815
Language : En, Es, Fr & De

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Book Description :

This three-volume set constitutes the refereed proceedings of the Second International Conference on Recent Trends in Image Processing and Pattern Recognition (RTIP2R) 2018, held in Solapur, India, in December 2018. The 173 revised full papers presented were carefully reviewed and selected from 374 submissions. The papers are organized in topical sections in the tree volumes. Part I: computer vision and pattern recognition; machine learning and applications; and image processing. Part II: healthcare and medical imaging; biometrics and applications. Part III: document image analysis; image analysis in agriculture; and data mining, information retrieval and applications.

High Resolution Imaging in Microscopy and Ophthalmology

High Resolution Imaging in Microscopy and Ophthalmology Book
Author : Josef F. Bille
Publisher : Springer
Release : 2019-08-13
ISBN : 3030166384
Language : En, Es, Fr & De

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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.

Retinal Degeneration

Retinal Degeneration Book
Author : Robert E. Anderson,Joe G. Hollyfield,Matthew M. LaVail
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 1461529743
Language : En, Es, Fr & De

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Book Description :

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.

Computer Vision for Biomedical Image Applications

Computer Vision for Biomedical Image Applications Book
Author : Yanxi Liu,Tianzi Jiang,Changshui Zhang
Publisher : Springer Science & Business Media
Release : 2005-10-10
ISBN : 3540294112
Language : En, Es, Fr & De

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Book Description :

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.

Medical Image Processing

Medical Image Processing Book
Author : Geoff Dougherty
Publisher : Springer Science & Business Media
Release : 2011-07-25
ISBN : 9781441997791
Language : En, Es, Fr & De

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Book Description :

The book is designed for end users in the field of digital imaging, who wish to update their skills and understanding with the latest techniques in image analysis. The book emphasizes the conceptual framework of image analysis and the effective use of image processing tools. It uses applications in a variety of fields to demonstrate and consolidate both specific and general concepts, and to build intuition, insight and understanding. Although the chapters are essentially self-contained they reference other chapters to form an integrated whole. Each chapter employs a pedagogical approach to ensure conceptual learning before introducing specific techniques and “tricks of the trade”. The book concentrates on a number of current research applications, and will present a detailed approach to each while emphasizing the applicability of techniques to other problems. The field of topics is wide, ranging from compressive (non-uniform) sampling in MRI, through automated retinal vessel analysis to 3-D ultrasound imaging and more. The book is amply illustrated with figures and applicable medical images. The reader will learn the techniques which experts in the field are currently employing and testing to solve particular research problems, and how they may be applied to other problems.

8th European Medical and Biological Engineering Conference

8th European Medical and Biological Engineering Conference Book
Author : Tomaz Jarm,Aleksandra Cvetkoska,Samo Mahnič-Kalamiza,Damijan Miklavcic
Publisher : Springer Nature
Release : 2020-11-29
ISBN : 3030646106
Language : En, Es, Fr & De

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Book Description :

This book aims at informing on new trends, challenges and solutions, in the multidisciplinary field of biomedical engineering. It covers traditional biomedical engineering topics, as well as innovative applications such as artificial intelligence in health care, tissue engineering , neurotechnology and wearable devices. Further topics include mobile health and electroporation-based technologies, as well as new treatments in medicine. Gathering the proceedings of the 8th European Medical and Biological Engineering Conference (EMBEC 2020), held on November 29 - December 3, 2020, in Portorož, Slovenia, this book bridges fundamental and clinically-oriented research, emphasizing the role of education, translational research and commercialization of new ideas in biomedical engineering. It aims at inspiring and fostering communication and collaboration between engineers, physicists, biologists, physicians and other professionals dealing with cutting-edge themes in and advanced technologies serving the broad field of biomedical engineering.

Cosmeceuticals and Active Cosmetics

Cosmeceuticals and Active Cosmetics Book
Author : Raja K Sivamani,Jared R. Jagdeo,Peter Elsner,Howard I. Maibach
Publisher : CRC Press
Release : 2015-09-18
ISBN : 1482214172
Language : En, Es, Fr & De

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Book Description :

Cosmeceuticals and Active Cosmetics discusses the science of nearly two dozen cosmeceuticals used today. This third edition provides ample evidence on specific cosmeceutical substances, their classes of use, skin conditions for which they are used, and points of interest arising from other considerations, such as toxicology and manufacturing. The book discusses both cosmetic and therapeutic uses of cosmeceuticals for various conditions including rosacea, dry skin, alopecia, eczema, seborrheic dermatitis, purpura, and vitiligo. Active ingredients in the following products are discussed: caffeine, curcumin, green tea, Rhodiola rosea, milk thistle, and more. Also covered are topical peptides and proteins, amino acids and derivatives, antioxidants, vitamins E and C, niacinamide, botanical extracts, and biomarine actives. Providing ample scientific references, this book is an excellent guide to understanding the science behind the use of cosmeceuticals to treat a variety of dermatological conditions.

Retinal Degenerations

Retinal Degenerations Book
Author : Joyce Tombran-Tink,Colin J. Barnstable
Publisher : Springer Science & Business Media
Release : 2007-11-06
ISBN : 159745186X
Language : En, Es, Fr & De

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Book Description :

This book presents new and noteworthy research into retinal diseases. It focuses on what we currently know about the environment, genetics and mechanisms that lead to retinal degenerations, new diagnostics, and innovative therapeutic modalities to preserve vision. Written by renowned scientific investigators, this innovative collection of treatment strategies and technological discoveries allows for the realistic translation of research into practice.

Vasculopathies

Vasculopathies Book
Author : Marc Thiriet
Publisher : Springer
Release : 2019-02-18
ISBN : 3319893157
Language : En, Es, Fr & De

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Book Description :

This volume presents one of the clinical foundations of vasculopathies: the biological markers and risk factors associated with cardiovascular disease. A detailed biological and clinical framework is provided as a prerequisite for adequate modeling. Chapter 1 presents cardiovascular risk factors and markers, where the search for new criteria is aimed at improving early detection of chronic diseases. The subsequent chapters focus on hypertension, which involves the kidney among other organs as well as many agents, hyperglycemia and diabetes, hyperlipidemias and obesity, and behavior. The last of these risk factors includes altered circadian rhythm, tobacco and alcohol consumption, physical inactivity, and diet. The volumes in this series present all of the data needed at various length scales for a multidisciplinary approach to modeling and simulation of flows in the cardiovascular and ventilatory systems, especially multiscale modeling and coupled simulations. The cardiovascular and respiratory systems are tightly coupled, as their primary function is to supply oxygen to and remove carbon dioxide from the body's cells. Because physiological conduits have deformable and reactive walls, macroscopic flow behavior and prediction must be coupled to nano- and microscopic events in a corrector scheme of regulated mechanisms. Therefore, investigation of flows of blood and air in anatomical conduits requires an understanding of the biology, chemistry, and physics of these systems together with the mathematical tools to describe their functioning in quantitative terms.

Single Cell Based Models in Biology and Medicine

Single Cell Based Models in Biology and Medicine Book
Author : Alexander Anderson,Katarzyna Rejniak
Publisher : Springer Science & Business Media
Release : 2007-08-08
ISBN : 376438123X
Language : En, Es, Fr & De

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Book Description :

Aimed at postgraduate students in a variety of biology-related disciplines, this volume presents a collection of mathematical and computational single-cell-based models and their application. The main sections cover four general model groupings: hybrid cellular automata, cellular potts, lattice-free cells, and viscoelastic cells. Each section is introduced by a discussion of the applicability of the particular modelling approach and its advantages and disadvantages, which will make the book suitable for students starting research in mathematical biology as well as scientists modelling multicellular processes.

The Physics of Cancer

The Physics of Cancer Book
Author : Caterina A. M. La Porta,Stefano Zapperi
Publisher : Cambridge University Press
Release : 2017-04-20
ISBN : 1107109590
Language : En, Es, Fr & De

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Book Description :

An introduction to the emerging field of cancer physics, integrating cancer biology with approaches from theoretical and applied physics.

Ordinary and Partial Differential Equation Routines in C C Fortran Java Maple and MATLAB

Ordinary and Partial Differential Equation Routines in C  C    Fortran  Java  Maple  and MATLAB Book
Author : H.J. Lee,W.E. Schiesser
Publisher : CRC Press
Release : 2003-11-24
ISBN : 0203010515
Language : En, Es, Fr & De

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Book Description :

This book provides a set of ODE/PDE integration routines in the six most widely used computer languages, enabling scientists and engineers to apply ODE/PDE analysis toward solving complex problems. This text concisely reviews integration algorithms, then analyzes the widely used Runge-Kutta method. It first presents a complete code before discussin

Computational Retinal Image Analysis

Computational Retinal Image Analysis Book
Author : Emanuele Trucco,Tom MacGillivray,Yanwu Xu
Publisher : Academic Press
Release : 2019-11-25
ISBN : 0081028172
Language : En, Es, Fr & De

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Book Description :

Computational Retinal Image Analysis: Tools, Applications and Perspectives gives an overview of contemporary retinal image analysis (RIA) in the context of healthcare informatics and artificial intelligence. Specifically, it provides a history of the field, the clinical motivation for RIA, technical foundations (image acquisition modalities, instruments), computational techniques for essential operations, lesion detection (e.g. optic disc in glaucoma, microaneurysms in diabetes) and validation, as well as insights into current investigations drawing from artificial intelligence and big data. This comprehensive reference is ideal for researchers and graduate students in retinal image analysis, computational ophthalmology, artificial intelligence, biomedical engineering, health informatics, and more. Provides a unique, well-structured and integrated overview of retinal image analysis Gives insights into future areas, such as large-scale screening programs, precision medicine, and computer-assisted eye care Includes plans and aspirations of companies and professional bodies

Spinal Cord Injury SCI Repair Strategies

Spinal Cord Injury  SCI  Repair Strategies Book
Author : Giuseppe Perale,Filippo Rossi
Publisher : Woodhead Publishing
Release : 2019-10-30
ISBN : 0081028083
Language : En, Es, Fr & De

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Book Description :

Spinal Cord Injury (SCI) Repair Strategies provides researchers the latest information on potential regenerative approaches to spinal cord injury, specifically focusing on therapeutic approaches that target regeneration, including cell therapies, controlled drug delivery systems, and biomaterials. Dr. Giuseppe Perale and Dr. Filippo Rossi lead a team of authoritative authors in academia and industry in this innovative reference on the field of regenerative medicine and tissue engineering. This book presents all the information readers need to understand the current and potential array of techniques, materials, applications and their benefits for spinal cord repair. Covers current and future repair strategies for spinal cord injury repair Focuses on key research trends, clinics, biology and engineering Provides fundamentals on regenerative engineering and tissue engineering

Ocular Disease Mechanisms and Management E Book

Ocular Disease  Mechanisms and Management E Book Book
Author : Leonard A Levin,Daniel M. Albert
Publisher : Elsevier Health Sciences
Release : 2010-03-10
ISBN : 0702047414
Language : En, Es, Fr & De

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Book Description :

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.

Harper s Practical Genetic Counselling Eighth Edition

Harper s Practical Genetic Counselling  Eighth Edition Book
Author : Angus Clarke
Publisher : CRC Press
Release : 2016-06-15
ISBN : 144415432X
Language : En, Es, Fr & De

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Book Description :

Easy to use, and useful when kept close at hand in the room where you work. The book is a pleasure to read: the style elegant and authoritative.' Lancet '...this book is a wonderful reference to enable primary physicians to be informed about their patients.' Annals of Internal Medicine Universally used across the world by genetic counsellors, medical geneticists and clinicians alike, Harper's Practical Genetic Counselling has established itself as the essential guide to counselling those at risk from inherited disorders. Increasingly, common disorders are known to have a genetic component and this book provides invaluable and up to date guidance through the profusion of new information in this area and the associated psychosocial and ethical considerations and concerns. Within its established, tried and trusted framework, the book contains new chapters on: laboratory methods, new genetic sequencing techniques and the applications of genome-wide SNP association studies, genetic susceptibility, cross cultural aspects and the genetic counselling process. It has expand chapters on genetic screening and screening of newborn, treatment techniques and rational approaches to treatment, non-Mendelian inheritance, free fetal DNA in prenatal screening and diagnosis. Key features: - Fully updated to provide the very latest information when in a busy consulting room or clinic - Clear and authoritative advice applicable to everyday clinical practice - Reflects the rapid development of knowledge in this area, including the implications of the human genome project and related technology The eighth edition of this popular, best selling text continues to be an essential source of reference for trainee and practitioner genetic counsellors, medical geneticists and clinicians. Also it provides valuable background for specialist nurses, counsellors, social scientists, ethicists as well as genetics laboratory staff.