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Numerical PDE Analysis of Retinal Neovascularization

Numerical PDE Analysis of Retinal Neovascularization
  • Author : William E. Schiesser
  • Publsiher : Academic Press
  • Release : 14 June 2019
  • ISBN : 0128184531
  • Pages : 144 pages
  • Rating : 4/5 from 21 ratings
GET THIS BOOKNumerical PDE Analysis of Retinal Neovascularization

Summary:
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


Numerical PDE Analysis of Retinal Neovascularization

Numerical PDE Analysis of Retinal Neovascularization
  • Author : William E. Schiesser
  • Publisher : Academic Press
  • Release : 14 June 2019
GET THIS BOOKNumerical PDE Analysis of Retinal Neovascularization

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


Spatiotemporal Modeling of Influenza

Spatiotemporal Modeling of Influenza
  • Author : William E. Schiesser
  • Publisher : Morgan & Claypool Publishers
  • Release : 06 May 2019
GET THIS BOOKSpatiotemporal Modeling of Influenza

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


Ocular Fluid Dynamics

Ocular Fluid Dynamics
  • Author : Giovanna Guidoboni,Alon Harris,Riccardo Sacco
  • Publisher : Springer Nature
  • Release : 25 November 2019
GET THIS BOOKOcular Fluid Dynamics

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


ODE/PDE Analysis of Multiple Myeloma

ODE/PDE Analysis of Multiple Myeloma
  • Author : William E. Schiesser
  • Publisher : CRC Press
  • Release : 30 June 2020
GET THIS BOOKODE/PDE Analysis of Multiple Myeloma

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


Computer Vision for Biomedical Image Applications

Computer Vision for Biomedical Image Applications
  • Author : Yanxi Liu,Tianzi Jiang,China) Cvbia 200 (2005 Beijing,Changshui Zhang
  • Publisher : Springer Science & Business Media
  • Release : 10 October 2005
GET THIS BOOKComputer Vision for Biomedical Image Applications

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.


Healthcare and Artificial Intelligence

Healthcare and Artificial Intelligence
  • Author : Bernard Nordlinger,Cédric Villani,Daniela Rus
  • Publisher : Springer Nature
  • Release : 17 March 2020
GET THIS BOOKHealthcare and Artificial Intelligence

This book provides an overview of the role of AI in medicine and, more generally, of issues at the intersection of mathematics, informatics, and medicine. It is intended for AI experts, offering them a valuable retrospective and a global vision for the future, as well as for non-experts who are curious about this timely and important subject. Its goal is to provide clear, objective, and reasonable information on the issues covered, avoiding any fantasies that the topic “AI” might evoke.


Ocular Disease: Mechanisms and Management E-Book

Ocular Disease: Mechanisms and Management E-Book
  • Author : Leonard A Levin,Daniel M. Albert
  • Publisher : Elsevier Health Sciences
  • Release : 10 March 2010
GET THIS BOOKOcular Disease: Mechanisms and Management E-Book

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,


High Resolution Imaging in Microscopy and Ophthalmology

High Resolution Imaging in Microscopy and Ophthalmology
  • Author : Josef F. Bille
  • Publisher : Springer
  • Release : 13 August 2019
GET THIS BOOKHigh Resolution Imaging in Microscopy and Ophthalmology

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



Cardiovascular Mechanics

Cardiovascular Mechanics
  • Author : Michel R. Labrosse
  • Publisher : CRC Press
  • Release : 13 September 2018
GET THIS BOOKCardiovascular Mechanics

The objective of this book is to illustrate in specific detail how cardiovascular mechanics stands as a common pillar supporting such different clinical successes as drugs for high blood pressure, prosthetic heart valves and coronary artery bypass grafting, among others. This information is conveyed through a comprehensive treatment of the overarching principles and theories that are behind mechanobiological processes, aortic and arterial mechanics, atherosclerosis, blood and microcirculation, hear valve mechanics, as well as medical devices and drugs. Examines all major


Adaptive Method of Lines

Adaptive Method of Lines
  • Author : A, Vande Wouwer,Ph. Saucez,W.E. Schiesser
  • Publisher : CRC Press
  • Release : 18 April 2001
GET THIS BOOKAdaptive Method of Lines

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


On the Power of Fuzzy Markup Language

On the Power of Fuzzy Markup Language
  • Author : Giovanni Acampora,Vincenzo Loia,Chang-Shing Lee,Mei-Hui Wang
  • Publisher : Springer
  • Release : 14 December 2012
GET THIS BOOKOn the Power of Fuzzy Markup Language

One of the most successful methodology that arose from the worldwide diffusion of Fuzzy Logic is Fuzzy Control. After the first attempts dated in the seventies, this methodology has been widely exploited for controlling many industrial components and systems. At the same time, and very independently from Fuzzy Logic or Fuzzy Control, the birth of the Web has impacted upon almost all aspects of computing discipline. Evolution of Web, Web2.0 and Web 3.0 has been making scenarios of ubiquitous computing much


Bioeffects and Therapeutic Applications of Electromagnetic Energy

Bioeffects and Therapeutic Applications of Electromagnetic Energy
  • Author : Riadh Habash
  • Publisher : CRC Press
  • Release : 19 November 2007
GET THIS BOOKBioeffects and Therapeutic Applications of Electromagnetic Energy

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


Controlled Release in Oral Drug Delivery

Controlled Release in Oral Drug Delivery
  • Author : Clive G. Wilson,Patrick J. Crowley
  • Publisher : Springer Science & Business Media
  • Release : 22 September 2011
GET THIS BOOKControlled Release in Oral Drug Delivery

Controlled Release in Oral Drug Delivery provides focus on specific topics, complementing other books in the initial CRS series. Each chapter sets the context for the inventions described and describe the latitude that the inventions allow. In order to provide some similar look to each chapter, the coverage includes the historical overview, candidate drugs, factors influencing design and development, formulation and manufacturing and delivery system design. This volume was written along three main sections: the relevant anatomy and physiology, a


Ocular Blood Flow

Ocular Blood Flow
  • Author : Leopold Schmetterer,Jeffrey Kiel
  • Publisher : Springer Science & Business Media
  • Release : 14 June 2012
GET THIS BOOKOcular Blood Flow

Adequate blood supply to the eye is an important prerequisite for normal visual function. Over the past 40 years our knowledge of ocular blood flow regulation has improved significantly. This reader-friendly textbook provides a comprehensive overview of the current knowledge of ocular blood flow. Lavishly illustrated, it evaluates the wide array of methods that have been used to measure ocular blood flow. Furthermore, it not only offers the reader an evidence-based summary of the physiological and pharmacological properties of ocular blood