Computational Modeling in Biomedical Engineering and Medical Physics

Mathematical and numerical modeling of engineering problems in medicine is aimed at unveiling and understanding multidisciplinary interactions and processes and providing insights useful to clinical care and technology advances for better medical equipment and systems. When modeling medical problems, the engineer is confronted with multidisciplinary problems of electromagnetism, heat and mass transfer, and structural mechanics with, possibly, different time and space scales, which may raise concerns in formulating consistent, solvable mathematical models. Computational Medical Engineering presents a number of engineering for medicine problems that may be encountered in medical physics, procedures, diagnosis and monitoring techniques, including electrical activity of the heart, hemodynamic activity monitoring, magnetic drug targeting, bioheat models and thermography, RF and microwave hyperthermia, ablation, EMF dosimetry, and bioimpedance methods. The authors discuss the core approach methodology to poseand solve different problems of medical engineering, including essentials of mathematical modeling (e.g., criteria for well-posed problems and hints to solve inverse problems); physics scaling (homogenization techniques); Constructal Law criteria in morphing shape and structure of systems with internal flows and purpose; computational domain construction (CAD, reconstruction techniques based on medical images, and fused constructions); numerical modeling issues, and validation techniques used to ascertain numerical simulation results. In addition, new ideas and venues to investigate and understand finer scale models and merge them into continuous media medical physics are provided as case studies. Key features: Presents the fundamentals of mathematical and numerical modeling of engineering problems in medicine; Discusses many of the most common modeling scenarios for Biomedical Engineering, including, electrical activity of the heart and hemodynamic activity monitoring, magnetic drug targeting, bioheat models and thermography, RF and microwave hyperthermia, ablation, EMF dosimetry, and bioimpedance methods; Includes discussion of the core approach methodology to pose and solve different problems of medical engineering, including essentials of mathematical modeling, physics scaling, Constructal Law criteria in morphing shape and structure of systems with internal flows, computational domain construction, numerical modeling issues, and validation techniques used to ascertain numerical simulation results.--