PDE Models for Atherosclerosis Computer Implementation in R
Language: English
Published by Springer International Publishing Nov 2018, 2018
Series: Book 21 of 72 - Synthesis Lectures on Mathematics & Statistics
- Softcover
- New
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.
AbeBooks seller since January 11, 2012
Condition: New
£ 46.11
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Add to basketItem description from seller
This item is printed on demand - it takes 3-4 days longer - Neuware -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.This book pertains to a mathematical model for the spatiotemporal distribution of LDL and HDL in the arterial endothelial inner layer (EIL, intima). The model consists of a system of six partial differential equations (PDEs) with the dependent variables1. ( , ): concentration of modified LDL2. ( , ): concentration of HDL3. ( , ): concentration of chemoattractants4. ( , ): concentration of ES cytokines5. ( , ): density of monocytes/macrophages6. ( , ): density of foam cellsand independent variables1. : distance from the inner arterial wall2. : timeThe 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 ( , ) 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. 144 pp. Englisch.…
Seller Inventory # 9783031012860
- Title
- PDE Models for Atherosclerosis Computer Implementation in R
- Author
- William E. Schiesser
- Publisher
- Springer International Publishing Nov 2018
- Publication year
- 2018
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3031012860
- ISBN 13
- 9783031012860
- Item weight
- 284 grams
- Dimensions
- 235x191x9 mm
- Series
- Book 21 of 72: Synthesis Lectures on Mathematics & Statistics
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BuchWeltWeit Ludwig Meier e.K.
Bergisch Gladbach, Germany
AbeBooks seller since January 11, 2012
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