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Mathematical Models for Dental Materials Research, Fok Alex, Chew Hooi Pin


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Автор: Fok Alex, Chew Hooi Pin
Название:  Mathematical Models for Dental Materials Research
Перевод названия: Алекс Фокс, Хуи Пинь Чю: Математические модели исследования стоматологических материалов
ISBN: 9783030378486
Издательство: Springer
Классификация:



ISBN-10: 3030378489
Обложка/Формат: Hardcover
Страницы: 77
Вес: 0.31 кг.
Дата издания: 25.02.2020
Язык: English
Издание: 1st ed. 2020
Иллюстрации: 40 tables, color; 40 illustrations, color; 1 illustrations, black and white; xiv, 77 p. 41 illus., 40 illus. in color.; 40 tables, color; 40 illustrat
Размер: 23.39 x 15.60 x 0.64 cm
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book presents a mechanistic approach—mathematical modeling—for carrying out dental materials research. This approach allows researchers to go beyond the null hypothesis and obtain a solution that is more general and therefore predictive for conditions other than those considered in a study. Hence it can be used either on its own or to complement the commonly used statistical approach. Through a series of practical problems with wide-ranging application, the reader will be guided on: * How to construct a mathematical model for the behavior of dental materials by making informed assumptions of the physical, chemical, or mechanical situation * How to simplify the model by making suitable simplifications * How to calibrate the model by calculating the values of key parameters using experimental results * How to refine the model when there are discrepancies between predictions and experiments Only elementary calculus is required to follow the examples and all the problems can be solved by using MS Excel© spreadsheets. This is an ideal book for dental materials researchers without a strong mathematical background who are interested in applying a more mechanistic approach to their research to give deeper insight into the problem at hand. Advance praise for Mathematical Models for Dental Materials Research: “This is a nice addition for research students on how to conduct their work and how to manage data analysis. It brings together a number of important aspects of dental materials investigations which has been missing in the literature. The practical examples make it much easier to understand.” – Michael F. Burrow, Clinical Professor in Prosthodontics, The University of Hong Kong “The great strengths of this volume are the real world examples of dental materials research in the successive chapters. In turn, this is an outcome of the outstanding expertise of both authors. I warmly recommend this book to the dental biomaterials community worldwide.” – David C. Watts, Professor of Biomaterials Science, University of Manchester, UK
Дополнительное описание: Chapter 1 - Systematic Errors in Longitudinal Measurements.- Chapter 2 - Endodontic Treatment and Vertical Root Fracture.- Chapter 3 - Debonding of Resin Composite Restorations.- Chapter 4 - Attenuation of Curing Light through Resin Composite Restorations



Dental Materials: Foundations and Applications, 11 ed.

Автор: J.M. Powers
Название: Dental Materials: Foundations and Applications, 11 ed.
ISBN: 0323316379 ISBN-13(EAN): 9780323316378
Издательство: Elsevier Science
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Цена: 12294.00 р.
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Описание: Get an in-depth understanding of the dental materials and tasks that dental professionals encounter every day with Dental Materials: Foundations and Applications, 11th Edition. Trusted for nearly 40 years, Powers and Wataha's text walks readers through the nature, categories, and uses of clinical and laboratory dental materials in use today. Increased coverage of foundational basics and clinical applications and an expanded art program help make complex content easier to grasp.

If you're looking to effectively stay on top of the rapidly developing field of dental materials, look no further than this proven text. Comprehensive and cutting-edge content describes the latest materials commonly used in dental practice, including those in esthetics, ceramics, dental implants, and impressions. Approximately 500 illustrations and photographs make it easier to understand properties and differences in both materials and specific types of products.

Review questions provide an excellent study tool with 20 to 30 self-test questions in each chapter. Quick Review boxes summarize the material in each chapter. Note boxes highlight key points and important terminology throughout the text.

Key terms are bolded at their initial mention in the text and defined in the glossary. Expert authors are well recognized in the fields of dental materials, oral biomaterials, and restorative dentistry. A logical and consistent format sets up a solid foundation before progressing into discussions of specific materials, moving from the more common and simple applications such as composites to more specialized areas such as polymers and dental implants.

Learning objectives in each chapter focus readers' attention on essential information. Supplemental readings in each chapter cite texts and journal articles for further research and study. Conversion Factors on the inside back cover provides a list of common metric conversions.

NEW! Foundations and Applications subtitle emphasizes material basics and clinical applications to mirror the educational emphasis. NEW! More clinical photos and conceptual illustrations help bring often-complex material into context and facilitate comprehension.

Elements of Mathematical Ecology

Автор: Kot, Mark,
Название: Elements of Mathematical Ecology
ISBN: 0521001501 ISBN-13(EAN): 9780521001502
Издательство: Cambridge Academ
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Цена: 13779.00 р.
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Описание: An introduction to classical and modern mathematical models, methods, and issues in population ecology. Includes numerous line diagrams, relevant problems and supplementary mathematical and historical material that enhances understanding.

Mathematical Methods and Models in Composites

Автор: Mantic Vladislav
Название: Mathematical Methods and Models in Composites
ISBN: 1848167849 ISBN-13(EAN): 9781848167841
Издательство: World Scientific Publishing
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Цена: 26136.00 р.
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Описание: Provides a treatment of the modern and rigorous mathematical methods and models applied to composites modeling on micro-, meso- and macroscale. This book presents a selection of the useful mathematical methods and models which establish the fundaments for a meaningful and accurate theoretical and computer modeling of these materials in the future.

Benefits of Bayesian Network Models

Автор: Weber
Название: Benefits of Bayesian Network Models
ISBN: 184821992X ISBN-13(EAN): 9781848219922
Издательство: Wiley
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Цена: 22010.00 р.
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Описание: The application of Bayesian Networks (BN) or Dynamic Bayesian Networks (DBN) in dependability and risk analysis is a recent development. A large number of scientific publications show the interest in the applications of BN in this field. Unfortunately, this modeling formalism is not fully accepted in the industry.

Method Of Lines Analysis Of Turing Models

Автор: Schiesser William E
Название: Method Of Lines Analysis Of Turing Models
ISBN: 9813226692 ISBN-13(EAN): 9789813226692
Издательство: World Scientific Publishing
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Цена: 12197.00 р.
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Описание:

This book is directed toward the numerical integration (solution) of a system of partial differential equations (PDEs) that describes a combination of chemical reaction and diffusion, that is, reaction-diffusion PDEs. The particular form of the PDEs corresponds to a system discussed by Alan Turing and is therefore termed a Turing model.

Specifically, Turing considered how a reaction-diffusion system can be formulated that does not have the usual smoothing properties of a diffusion (dispersion) system, and can, in fact, develop a spatial variation that might be interpreted as a form of morphogenesis, so he termed the chemicals as morphogens.

Turing alluded to the important impact computers would have in the study of a morphogenic PDE system, but at the time (1952), computers were still not readily available. Therefore, his paper is based on analytical methods. Although computers have since been applied to Turing models, computer-based analysis is still not facilitated by a discussion of numerical algorithms and a readily available system of computer routines.

The intent of this book is to provide a basic discussion of numerical methods and associated computer routines for reaction-diffusion systems of varying form. The presentation has a minimum of formal mathematics. Rather, the presentation is in terms of detailed examples, presented at an introductory level. This format should assist readers who are interested in developing computer-based analysis for reaction-diffusion PDE systems without having to first study numerical methods and computer programming (coding).

The numerical examples are discussed in terms of: (1) numerical integration of the PDEs to demonstrate the spatiotemporal features of the solutions and (2) a numerical eigenvalue analysis that corroborates the observed temporal variation of the solutions. The resulting temporal variation of the 2D and 3D plots demonstrates how the solutions evolve dynamically, including oscillatory long-term behavior.

In all of the examples, routines in R are presented and discussed in detail. The routines are available through this link so that the reader can execute the PDE models to reproduce the reported solutions, then experiment with the models, including extensions and application to alternative models.

Mathematical Biology I. An Introduction

Автор: Murray, James D.
Название: Mathematical Biology I. An Introduction
ISBN: 1475777094 ISBN-13(EAN): 9781475777093
Издательство: Springer
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Цена: 9781.00 р.
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Описание: Providing an in-depth look at the practical use of math modeling, it features exercises throughout that are drawn from a variety of bioscientific disciplines - population biology, developmental biology, physiology, epidemiology, and evolution, among others.

Mathematical Biology II: Spatial Models and Biomedical Applications, 3 ed.

Автор: Murray, J.D.
Название: Mathematical Biology II: Spatial Models and Biomedical Applications, 3 ed.
ISBN: 0387952284 ISBN-13(EAN): 9780387952284
Издательство: Springer
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Цена: 16769.00 р.
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Описание: This richly illustrated third edition provides a thorough training in practical mathematical biology and shows how exciting mathematical challenges can arise from a genuinely interdisciplinary involvement with the biosciences.

Mathematical Models in the Applied Sciences, (Cambridge Texts in Applied Mathematics) 1st Edition

Автор: A.C. Fowler
Название: Mathematical Models in the Applied Sciences, (Cambridge Texts in Applied Mathematics) 1st Edition
ISBN: 0521467039 ISBN-13(EAN): 9780521467032
Издательство: Cambridge Academ
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Цена: 11405.00 р.
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Описание: Presents a thorough grounding in the techniques of mathematical modelling, and proceeds to explore a range of classical and continuum models from an array of disciplines.

Dynamical System Models In The Life Sciences And Their Underlying Scientific Issues

Автор: Wan Frederic Y M
Название: Dynamical System Models In The Life Sciences And Their Underlying Scientific Issues
ISBN: 9813143339 ISBN-13(EAN): 9789813143333
Издательство: World Scientific Publishing
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Цена: 17899.00 р.
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Описание:

oadly speaking, there are two general approaches to teaching mathematical modeling: 1) the case study approach, and 2) the method based approach (that teaches mathematical techniques with applications to relevant mathematical models). This text emphasizes instead the scientific issues for modeling different phenomena. For the natural or harvested growth of a fish population, we may be interested in the evolution of the population, whether it reaches a steady state (equilibrium or cycle), stable or unstable with respect to a small perturbation from equilibrium, or whether a small change in the environment would cause a catastrophic change, etc. Each scientific issue requires an appropriate model and a different set of mathematical tools to extract information from the model. Models examined are chosen to help explain or justify empirical observations such as cocktail drug treatments are more effective and regenerations after injuries or illness are fast-tracked (compared to original developments).

Volume I of this three-volume set limits its scope to phenomena and scientific issues that are modeled by ordinary differential equations (ODE). Scientific issues such as signal and wave propagation, diffusion, and shock formation involving spatial dynamics to be modeled by partial differential equations (PDE) will be treated in Vol. II. Scientific issues involving randomness and uncertainty are examined in Vol. III.

Dynamical System Models In The Life Sciences And Their Underlying Scientific Issues

Автор: Wan Frederic Y M
Название: Dynamical System Models In The Life Sciences And Their Underlying Scientific Issues
ISBN: 9813143703 ISBN-13(EAN): 9789813143708
Издательство: World Scientific Publishing
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Цена: 10930.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

oadly speaking, there are two general approaches to teaching mathematical modeling: 1) the case study approach, and 2) the method based approach (that teaches mathematical techniques with applications to relevant mathematical models). This text emphasizes instead the scientific issues for modeling different phenomena. For the natural or harvested growth of a fish population, we may be interested in the evolution of the population, whether it reaches a steady state (equilibrium or cycle), stable or unstable with respect to a small perturbation from equilibrium, or whether a small change in the environment would cause a catastrophic change, etc. Each scientific issue requires an appropriate model and a different set of mathematical tools to extract information from the model. Models examined are chosen to help explain or justify empirical observations such as cocktail drug treatments are more effective and regenerations after injuries or illness are fast-tracked (compared to original developments).

Volume I of this three-volume set limits its scope to phenomena and scientific issues that are modeled by ordinary differential equations (ODE). Scientific issues such as signal and wave propagation, diffusion, and shock formation involving spatial dynamics to be modeled by partial differential equations (PDE) will be treated in Vol. II. Scientific issues involving randomness and uncertainty are examined in Vol. III.

Mathematical models and algorithms for power system optimization :

Автор: Fan, Mingtian,
Название: Mathematical models and algorithms for power system optimization :
ISBN: 0128132310 ISBN-13(EAN): 9780128132319
Издательство: Elsevier Science
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Цена: 22570.00 р.
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Описание:

Mathematical Models and Algorithms for Power System Optimization helps readers build a thorough understanding of new technologies and world-class practices developed by the State Grid Corporation of China, the organization responsible for the world's largest power distribution network. This reference covers three areas: power operation planning, electric grid investment and operational planning and power system control. It introduces economic dispatching, generator maintenance scheduling, power flow, optimal load flow, reactive power planning, load frequency control and transient stability, using mathematic models including optimization, dynamic, differential and difference equations.

  • Provides insights on the development of new mathematical models of power system optimization
  • Analyzes power systems comprehensively to create novel mathematic models and algorithms for issues related to the planning operation of power systems
  • Includes research on the optimization of power systems and related practical research projects carried out since 1981

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