Main description:

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.

Contents:

I Readying the Integrative Mindset

1 From Compartmentalized Disciplines to Transdiscipline

II Cracking Open the Blackbox of Computational Modeling

2 Engineering Problems and Partial Differential Equations

3 Where Do Differential Equations Come From?

4 Approximate Solutions to Differential Equations

5 Discretization of Physical Domains

6 Solving Differential Equations Computationally

7 Scalar Field Problems in Higher Dimensions8 Vector Field Problems in Higher Dimensions

9 Axisymmetric Scalar and Vector Field Problems

10 Isoparametric Elements

11 Gauss Quadrature and Numerical Integration

12 Dealing with Generalized PDEs13 Errors in FEM Results

III Developing Hands-On Modeling Skills 327

14 A Quick Tour of the COMSOL Modeling Environment

15 A Glimpse of the ABAQUS and ANSYS User Interfaces16 Dealing with Problems of Biomedical and Regulatory Interest

IV Useful Knowledge

A Mechanics of Materials

B Useful Mathematic Knowledge

Index