Introduction to Integrative Engineering A Computational Approach to Biomedical Problems

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

Guigen Zhang, Ph.D., is Professor of Bioengineering and Professor of Electri- cal and Computer Engineering at Clemson University. He is also the Executive Director of the Institute for Biological Interfaces of Engineering, a research and education/training institute designated by the South Carolina Commission on Higher Education. Professor Zhang is a fellow of the American Institute for Medical and Biological Engineering (AIMBE). He has published extensively in the areas of biosensors, biomechanics, biomaterials and computational modeling. Over the years, his research has been funded by diverse funding sources ranging from federal agencies such as National Institutes for Health and National Science Foundation, to private foundations like the Bill and Melinda Gates Foundation, to venture groups and state-level startup funds, as well as industries in the health-care, semiconductors, and data-storage sectors. Professor Zhang holds numerous patents in nanotechnology-enhanced structures and biosensors. Aside from his services on the editorial boards of numerous scientific journals, Pro- fessor Zhang is also active in serving leadership roles in professional societies. He is currently the Executive Editor of the Biomaterials Forum of the Society For Biomaterials (SFB), and President of the Institute of Biological Engineer- ing (IBE), a professional society that supports the community of scientists and engineers who are at the forefront of creating new linkages between biology and engineering and seeking new opportunities through Biology-Inspired engineering.