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PDE Models for Atherosclerosis Computer Implementation in R, William E. Schiesser


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Цена: 82230.00T
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Автор: William E. Schiesser
Название:  PDE Models for Atherosclerosis Computer Implementation in R
ISBN: 9781681734453
Издательство: Mare Nostrum (Eurospan)
Классификация:




ISBN-10: 1681734451
Обложка/Формат: Hardcover
Страницы: 141
Вес: 0.46 кг.
Дата издания: 30.11.2018
Серия: Synthesis lectures on mathematics and statistics
Язык: English
Размер: 235 x 191 x 10
Ключевые слова: Mathematics,Differential calculus & equations,Probability & statistics,Maths for computer scientists, MATHEMATICS / General,MATHEMATICS / Differential Equations / General,MATHEMATICS / Probability & Statistics / General
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Поставляется из: Англии
Описание: 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. ℎ concentration of HDL3. concentration of chemoattractants4. concentration of ES cytokines5. density of monocytes/macrophages6. density of foam cells and 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.

PDE Models for Atherosclerosis Computer Implementation in R

Автор: William E. Schiesser
Название: PDE Models for Atherosclerosis Computer Implementation in R
ISBN: 1681734435 ISBN-13(EAN): 9781681734439
Издательство: Mare Nostrum (Eurospan)
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Цена: 61910.00 T
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Описание: Thirty-seven-year-old piano teacher Camille Childs is a lost soul who is seeking recognition through her star student-so when her student unexpectedly leaves California to return to her village in Oaxaca, Mexico, Camille follows her. There, Camille meets Alejandro, a Zapotec man who helps her navigate the unfamiliar culture of Oaxaca and teaches her to view the world in a different light.

Regression Analysis and Linear Models: Concepts, Applications, and Implementation

Автор: Darlington Richard B., Hayes Andrew F.
Название: Regression Analysis and Linear Models: Concepts, Applications, and Implementation
ISBN: 1462521134 ISBN-13(EAN): 9781462521135
Издательство: Taylor&Francis
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Цена: 83690.00 T
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Описание: Ephasizing conceptual understanding over mathematics, this user-friendly text introduces linear regression analysis to students and researchers across the social, behavioral, consumer, and health sciences. Coverage includes model construction and estimation, quantification and measurement of multivariate and partial associations, statistical control, group comparisons, moderation analysis, mediation and path analysis, and regression diagnostics, among other important topics. Engaging worked-through examples demonstrate each technique, accompanied by helpful advice and cautions. The use of SPSS, SAS, and STATA is emphasized, with an appendix on regression analysis using R. The companion website (www.afhayes.com) provides datasets for the book`s examples as well as the RLM macro for SPSS and SAS. Pedagogical Features: *Chapters include SPSS, SAS, or STATA code pertinent to the analyses described, with each distinctively formatted for easy identification. *An appendix documents the RLM macro, which facilitates computations for estimating and probing interactions, dominance analysis, heteroscedasticity-consistent standard errors, and linear spline regression, among other analyses. *Students are guided to practice what they learn in each chapter using datasets provided online. *Addresses topics not usually covered, such as ways to measure a variable`s importance, coding systems for representing categorical variables, causation, and myths about testing interaction.

Computer Arithmetic and Validity: Theory, Implementation, and Applications

Автор: Ulrich Kulisch
Название: Computer Arithmetic and Validity: Theory, Implementation, and Applications
ISBN: 3110301733 ISBN-13(EAN): 9783110301731
Издательство: Walter de Gruyter
Цена: 148700.00 T
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Описание: This is the revised and extended second edition of the successful basic book on computer arithmetic. It is consistent with the newest recent standard developments in the field. The book shows how the arithmetic and mathematical capability of the digital computer can be enhanced in a quite natural way. The work is motivated by the desire and the need to improve the accuracy of numerical computing and to control the quality of the computed results (validity). The accuracy requirements for the elementary floating-point operations are extended to the customary product spaces of computations including interval spaces. The mathematical properties of these models are extracted into an axiomatic approach which leads to a general theory of computer arithmetic. Detailed methods and circuits for the implementation of this advanced computer arithmetic on digital computers are developed in part two of the book. Part three then illustrates by a number of sample applications how this extended computer arithmetic can be used to compute highly accurate and mathematically verified results. The book can be used as a high-level undergraduate textbook but also as reference work for research in computer arithmetic and applied mathematics.


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