Computational Medical Engineering: Mathematical and Numerical Modeling for Medicine

Computational Medical Engineering is a comprehensive guide to mathematical and numerical modeling of engineering problems in medicine. The book aims to provide insights into the multidisciplinary interactions and processes that occur in medical engineering, offering a deeper understanding of clinical care and technology advancements for better medical equipment and systems.

In medical engineering, engineers face complex, multidisciplinary problems that involve electromagnetism, heat and mass transfer, and structural mechanics. These problems often involve different time and space scales, making it challenging to formulate consistent and solvable mathematical models. This book presents a range of engineering problems in medicine, including:

• Electrical activity of the heart
• Hemodynamic activity monitoring
• Magnetic drug targeting
• Bioheat models and thermography
• RF and microwave hyperthermia
• Ablation
• EMF dosimetry
• Bioimpedance methods

The authors discuss the core approach methodology to pose and solve different problems of medical engineering, including:

• Essentials of mathematical modeling, such as criteria for well-posed problems
• Physics scaling, including homogenization techniques
• Constructal Law criteria in morphing shape and structure of systems with internal flows
• Computational domain construction, using CAD and reconstruction techniques based on medical images
• Numerical modeling issues and validation techniques used to ascertain numerical simulation results

In addition, the book provides case studies on new ideas and venues to investigate finer scale models and merge them into continuous media medical physics. By presenting the fundamentals of mathematical and numerical modeling of engineering problems in medicine, this book is an invaluable resource for biomedical engineers, researchers, and students.

Published by Elsevier Science, this book is an essential reference for anyone involved in medical engineering and research. With its comprehensive coverage of mathematical and numerical modeling techniques, it provides a solid foundation for understanding and solving complex medical engineering problems.