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PDE models for atherosclerosis computer implementation in R /

纪录类型:	书目-电子资源 : Monograph/item
[NT 15000414] null:	616.136
[NT 47271] Title/Author:	PDE models for atherosclerosis computer implementation in R // William E. Schiesser.
[NT 51403] remainder title:	Partial differential equation models for atherosclerosis computer implementation in R
作者:	Schiesser, W. E.,
面页册数:	1 PDF (xiii, 129 pages) : : illustrations.
附注:	Part of: Synthesis digital library of engineering and computer science.
标题:	Atherosclerosis - Mathematical models.
标题:	Differential equations, Partial.
标题:	Atherosclerosis
ISBN:	9781681734446
[NT 15000227] null:	Includes bibliographical references and index.
[NT 15000228] null:	1. PDE model formulation -- 1.1 Introduction -- 1.2 PDE model -- 1.3 Summary and conclusions --
[NT 15000229] null:	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.
电子资源:	https://ieeexplore.ieee.org/servlet/opac?bknumber=8529298

PDE models for atherosclerosis computer implementation in R /
Schiesser, W. E.,

PDE models for atherosclerosis computer implementation in R /Partial differential equation models for atherosclerosis computer implementation in RWilliam E. Schiesser. - 1 PDF (xiii, 129 pages) :illustrations. - Synthesis lectures on mathematics and statistics,# 221938-1751 ;. - Synthesis digital library of engineering and computer science..

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 --

Abstract freely available; full-text restricted to subscribers or individual document purchasers.

Compendex

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.

Mode of access: World Wide Web.

ISBN: 9781681734446

Standard No.: 10.2200/S00877ED1V01Y201810MAS022doiSubjects--Topical Terms:

729014
Atherosclerosis
--Mathematical models.Subjects--Index Terms:

atherosclerosis

LC Class. No.: RC692 / .S356 2019

Dewey Class. No.: 616.136

National Library of Medicine Call No.: WG 550 / S356p 2019

PDE models for atherosclerosis computer implementation in R /
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490 1 $a Synthesis lectures on mathematics and statistics, $x 1938-1751 ; $v # 22
500 $a Part of: Synthesis digital library of engineering and computer science.
504 $a Includes bibliographical references and index.
505 0 $a 1. PDE model formulation -- 1.1 Introduction -- 1.2 PDE model -- 1.3 Summary and conclusions --
505 8 $a 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 --
505 8 $a 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 --
505 8 $a 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 --
505 8 $a Author's biography -- Index.
506 $a Abstract freely available; full-text restricted to subscribers or individual document purchasers.
510 0 $a Compendex
510 0 $a INSPEC
510 0 $a Google scholar
510 0 $a Google book search
520 3 $a 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.
530 $a Also available in print.
538 $a Mode of access: World Wide Web.
538 $a System requirements: Adobe Acrobat Reader.
588 $a Title from PDF title page (viewed on November 28, 2018).
650 0 $a Atherosclerosis $x Mathematical models. $3 729014
650 0 $a Differential equations, Partial. $3 389324
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653 $a atherosclerosis
653 $a cholesterol
653 $a LDL
653 $a HDL
653 $a partial differential equations
653 $a method of lines
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830 0 $a Synthesis lectures on mathematics and statistics ; $v # 22. $x 1938-1751 $3 729013
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