PDE models for atherosclerosis computer implementation in R /
By: Schiesser, W. E [author.].
Material type:
BookSeries: Synthesis digital library of engineering and computer science: ; Synthesis lectures on mathematics and statistics: # 22.Publisher: [San Rafael, California] : Morgan & Claypool, 2019.Description: 1 PDF (xiii, 129 pages) : illustrations.Content type: text Media type: electronic Carrier type: online resourceISBN: 9781681734446.Other title: Partial differential equation models for atherosclerosis computer implementation in R.Subject(s): Atherosclerosis -- Mathematical models | Differential equations, Partial | Atherosclerosis | atherosclerosis | cholesterol | LDL | HDL | partial differential equations | method of linesDDC classification: 616.136 Online resources: Abstract with links to resource Also available in print.| Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|
E books
|
PK Kelkar Library, IIT Kanpur | Available | EBKE831 |
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
Part of: Synthesis digital library of engineering and computer science.
Includes bibliographical references and index.
1. PDE model formulation -- 1.1 Introduction -- 1.2 PDE model -- 1.3 Summary and conclusions --
2. PDE model implementation -- 2.1 Introduction -- 2.2 PDE model routines -- 2.2.1 Main program -- 2.2.2 ODE/MOL routine -- 2.2.3 Model output -- 2.3 Summary and conclusions --
3. PDE model detailed analysis -- 3.1 Introduction -- 3.2 PDE model routines -- 3.2.1 Main program -- 3.2.2 ODE/MOL routines -- 3.2.3 Model output -- 3.2.4 Main program with detailed PDE analysis -- 3.2.5 ODE/MOL routines -- 3.2.6 Model output -- 3.3 Summary and conclusions --
4. PDE model applications -- 4.1 Introduction -- 4.2 PDE model routines -- 4.2.1 Main program -- 4.2.2 ODE/MOL routine -- 4.2.3 Model output -- 4.3 Summary and conclusions --
Author's biography -- Index.
Abstract freely available; full-text restricted to subscribers or individual document purchasers.
Compendex
INSPEC
Google scholar
Google book search
Atherosclerosis is a pathological condition of the arteries in which plaque buildup and stiffening (hardening) can lead to stroke, myocardial infarction (heart attacks), and even death. Cholesterol in the blood is a key marker for atherosclerosis, with two forms: (1) LDL - low density lipoproteins and (2) HDL - high density lipoproteins. Low LDL and high HDL concentrations are generally considered essential for limited atherosclerosis and good health. The focus of this book is a discussion of the methodology for placing the model on modest computers for study of the numerical solutions. The foam cell density N(x, t) as a function of the bloodstream LDL and HDL concentrations is of particular interest as a precursor for arterial plaque formation and stiffening. The numerical algorithm for the solution of the model PDEs is the method of lines (MOL), a general procedure for the computer-based numerical solution of PDEs. The MOL coding (programming) is in R, a quality, open-source scientific computing system that is readily available from the Internet. The R routines for the PDE model are discussed in detail, and are available from a download link so that the reader/analyst/researcher can execute the model to duplicate the solutions reported in the book, then experiment with the model, for example, by changing the parameters (constants) and extending the model with additional equations.
Also available in print.
Title from PDF title page (viewed on November 28, 2018).
There are no comments for this item.