Mathematics and Physics of Emerging Biomedical Imaging

This cross-disciplinary book documents the key research challenges in the mathematical sciences and physics that could enable the economical development of novel biomedical imaging devices. It is hoped that the infusion of new insights from mathematical scientists and physicists will accelerate progress in imaging. Incorporating input from dozens of biomedical researchers who described what they perceived as key open problems of imaging that are amenable to attack by mathematical scientists and physicists, this book introduces the frontiers of biomedical imaging, especially the imaging of dynamic physiological functions, to the educated nonspecialist. Ten imaging modalities are covered, from the well-established (e.g., CAT scanning, MRI) to the more speculative (e.g., electrical and magnetic source imaging). For each modality, mathematics and physics research challenges are identified and a short list of suggested reading offered. Two additional chapters offer visions of the next generation of surgical and interventional techniques and of image processing. A final chapter provides an overview of mathematical issues that cut across the various modalities. Table of Contents FRONT MATTER 1 INTRODUCTION AND SUMMARY 2 X-RAY PROJECTION IMAGING 3 X-RAY COMPUTED TOMOGRAPHY 4 MAGNETIC RESONANCE IMAGING 5 SINGLE PHOTON EMISSION COMPUTED TOMOGRAPHY 6 POSITRON EMISSION TOMOGRAPHY 7 ULTRASONICS 8 ELECTRICAL SOURCE IMAGING 9 ELECTRICAL IMPEDANCE TOMOGRAPHY 10 MAGNETIC SOURCE IMAGING 11 MEDICAL OPTICAL IMAGING 12 IMAGE-GUIDED MINIMALLY INVASIVE DIAGNOSTIC AND THERAPEUTIC INTERVENTIONAL.. 13 FRONTIERS OF IMAGE PROCESSING FOR MEDICINE 14 A CROSS-CUTTING LOOK AT THE MATHEMATICS OF EMERGING BIOMEDICAL IMAGING INDEX Color Plates