Numerical 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 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

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  • Author : William E. Schiesser
  • Publisher : Academic Press
  • Pages : 144 pages
  • ISBN : 0128184531
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKNumerical PDE Analysis of Retinal Neovascularization

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

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

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

ODE/PDE Analysis of Multiple Myeloma

ODE/PDE Analysis of Multiple Myeloma
  • Author : William E. Schiesser
  • Publisher : CRC Press
  • Release : 28 May 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

Proceedings of the International Conference on Recent Cognizance in Wireless Communication & Image Processing

Proceedings of the International Conference on Recent Cognizance in Wireless Communication & Image Processing
  • Author : Nitin Afzalpulkar,Vishnu Srivastava,Ghanshyam Singh,Deepak Bhatnagar
  • Publisher : Springer
  • Release : 28 April 2016
GET THIS BOOKProceedings of the International Conference on Recent Cognizance in Wireless Communication & Image Processing

This volume comprises the proceedings of the International Conference on Recent Cognizance in Wireless Communication & Image Processing. It brings together content from academicians, researchers, and industry experts in areas of Wireless Communication and Image Processing. The volume provides a snapshot of current progress in computational creativity and a glimpse of future possibilities. The proceedings include two kinds of paper submissions: (i) regular papers addressing foundation issues, describing original research on creative systems development and modeling; and (ii) position papers describing

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

Ultrasound and Carotid Bifurcation Atherosclerosis

Ultrasound and Carotid Bifurcation Atherosclerosis
  • Author : Andrew Nicolaides,Kirk W. Beach,Efthyvoulos Kyriacou,Constantinos S. Pattichis
  • Publisher : Springer Science & Business Media
  • Release : 25 November 2011
GET THIS BOOKUltrasound and Carotid Bifurcation Atherosclerosis

Ultrasound and Carotid Bifurcation Atherosclerosis provides a comprehensive overview of the most recent advancements in instrumentation, imaging techniques including the use of contrast enhancement agents, plaque image analysis and its automation, elastography and plaque motion analysis; also, the use of ultrasonic and other biomarkers in the detection of the high risk cardiovascular individual. Finally, it deals with the application of IVUS, TCD and carotid plaque characterization in clinical practice and in stroke risk stratification. Ultrasound and Carotid Bifurcation Atherosclerosis is

Single-Cell-Based Models in Biology and Medicine

Single-Cell-Based Models in Biology and Medicine
  • Author : Alexander Anderson,Katarzyna Rejniak
  • Publisher : Springer Science & Business Media
  • Release : 08 August 2007
GET THIS BOOKSingle-Cell-Based Models in Biology and Medicine

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

Multiscale Cancer Modeling

Multiscale Cancer Modeling
  • Author : Thomas S. Deisboeck,Georgios S. Stamatakos
  • Publisher : CRC Press
  • Release : 08 December 2010
GET THIS BOOKMultiscale Cancer Modeling

Cancer is a complex disease process that spans multiple scales in space and time. Driven by cutting-edge mathematical and computational techniques, in silico biology provides powerful tools to investigate the mechanistic relationships of genes, cells, and tissues. It enables the creation of experimentally testable hypotheses, the integration of data across scales, and the prediction of tumor progression and treatment outcome (in silico oncology). Drawing on an interdisciplinary group of distinguished international experts, Multiscale Cancer Modeling discusses the scientific and technical

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.

Complex Systems in Biomedicine

Complex Systems in Biomedicine
  • Author : A. Quarteroni,L. Formaggia,A. Veneziani
  • Publisher : Springer
  • Release : 21 October 2010
GET THIS BOOKComplex Systems in Biomedicine

Mathematicalmodelingofhumanphysiopathologyisatremendouslyambitioustask. It encompasses the modeling of most diverse compartments such as the cardiovas- lar,respiratory,skeletalandnervoussystems,aswellasthemechanicalandbioch- ical interaction between blood ?ow and arterial walls, and electrocardiac processes and electric conduction in biological tissues. Mathematical models can be set up to simulate both vasculogenesis (the aggregation and organization of endothelial cells dispersed in a given environment) and angiogenesis (the formation of new vessels sprouting from an existing vessel) that are relevant to the formation of vascular networks, and in particular

Recent Advances in Intelligent Informatics

Recent Advances in Intelligent Informatics
  • Author : Sabu M. Thampi,Ajith Abraham,Sankar Kumar Pal,Juan Manuel Corchado Rodriguez
  • Publisher : Springer Science & Business Media
  • Release : 30 July 2013
GET THIS BOOKRecent Advances in Intelligent Informatics

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

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

Phagocytosis of Dying Cells

Phagocytosis of Dying Cells
  • Author : Dmitri V. Krysko,Peter Vandenabeele
  • Publisher : Springer Science & Business Media
  • Release : 10 March 2009
GET THIS BOOKPhagocytosis of Dying Cells

Phagocytosis has been at the forefront of cell biology for more than a century. Initially, phagocytosis, which comes from Greek words meaning “devouring cells,” was discovered in the late 19th century by Ilya Metchnikoff, who was awarded, together with Paul Ehrlich, the Nobel Prize in Physiology and Medicine in 1908 “in recognition of their work on immunity.” At that time Metchnikoff had already identified a function for phagocytes not only in host defense but also as scavengers of degenerating host cells