424 pages | 200 B/W Illus.
This textbook is designed for an introductory course at undergraduate and graduate levels for bioengineering students. It provides a systematic way of examining bioengineering problems in a multidisciplinary computational approach. The book introduces basic concepts of multidiscipline-based computational modeling methods, provides detailed step-by-step techniques to build a model with consideration of underlying multiphysics, and discusses many important aspects of a modeling approach including results interpretation, validation, and assessment.
Part 1: Readying the Integrative Mindset
Chapter One: From Compartmentalized Disciplines to Trans-Discipline
Part 2: Cracking Open the Blackbox of Computational Modeling
Chapter Two: Engineering Problems and Partial Differential Equations
Chapter Three: Where Do Differential Equations Come From?
Chapter Four: Approximate Solutions to Differential Equations
Chapter Five: Discretization of Physical Domains
Chapter Six: Solving Differential Equations Computationally
Chapter Seven: Scalar Field Problems in Higher Dimensions
Chapter Eight: Vector Field Problems in Higher Dimensions
Chapter Nine: Axisymmetric Scalar and Vector Field Problems
Chapter Ten: Isoparametric Elements
Chapter Eleven: Gauss Quadrature and Numerical Integration
Chapter Twelve: Dealing with Generalized PDEs
Chapter Thirteen: Errors in FEM Results
Part 3: Developing Hands-On Modeling Skills
Chapter Fourteen: A Quick Tour of the COMSOL Modeling Environment
Chapter Fifteen: A Glimpse of the ABAQUS and ANSYS User Interfaces
Chapter Sixteen: Dealing with Problems of Biomedical and Regulatory Interest
Part 4: Useful Knowledge
Appendix A: Mechanics of Materials
Appendix B: Useful Mathematic Knowledge