Mathematical Models for Dental Materials Research
Buch in deiner Nähe kaufen
Beschreibung
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 requiredto 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 ofboth authors. I warmly recommend this book to the dental biomaterials community worldwide.” – David C. Watts, Professor of Biomaterials Science, University of Manchester, UK
Provides critical insights into how to calibrate the model by calculating the values of key parameters using experimental results
Expands reader understanding of How to construct a mathematical model for the behavior of dental materials by making appropriate guesses of the physical situation
Illustrates in detail how to validate the model by comparing its predictions with other experiments not used in the calibration
Provides critical insights into how to calibrate the model by calculating the values of key parameters using experimental results Expands reader understanding of How to construct a mathematical model for the behavior of dental materials by making appropriate guesses of the physical situation Illustrates in detail how to validate the model by comparing its predictions with other experiments not used in the calibration
Autor*in
Alex Fok
Themen in »Mathematical Models for Dental Materials Research«
Mathematical Models dental materials Dental Materials Dental materials research Bone remodeling dental materials Mineral loss dental materials Occlusal shrinkage dental materials Dental resin modeling materials Dental restoration materials modeling Biomathematics bone remodeling dental wolff's law dental materials newton's law dental materials washburn's equation dental materials straight-line equation dental dental resin composites math