Introduction to Mathematics of Emerging Biomedical Imaging

Habib Ammari (born in June 1969) received the B.S., M.S., and Ph.D. degrees in mathematics from École Polytechnique Palaiseau in 1992, 1993, and 1995, respectively, and the Habilitation Degree from Université Pierre et Marie Curie (Paris 6), in 1999. He is currently Director of Research at the French Center of Scientific Research (CNRS). His current research interests include biomedical imaging, electrical impedance tomography, inverse problems, and electromagnetic modelling. He has contributed over 100 peer-reviewed articles and book chapters, authored four books and edited three others. He is serving as an editor of several mathematical journals. Habib Ammari has been invited to more than 30 international conferences. He produced 10 Ph.D. students and served as adviser for 10 post-docs.

• Mathematical Tools.- Biomedical Imaging Modalities.- Preliminaries.- Layer Potential Techniques.- General Reconstruction Algorithms.- Tomographic Imaging with Non-Diffracting Sources.- Tomographic Imaging with Diffracting Sources.- Biomagnetic Source Imaging.- Anomaly Detection Algorithms.- Small Volume Expansions.- Imaging Techniques.- Hybrid Imaging Techniques.- Magnetic Resonance Electrical Impedance Tomography.- Impediography.- Magnetic Resonance Elastography.

From the reviews: "This book consists of an introductive chapter, four parts, a bibliography, and an index. ... The book may be useful for non-specialists ... . Students may use this book ... ." (Alexander G. Ramm, Zentralblatt MATH, Vol. 1181, 2010) "This monograph presents an overview of medical imaging techniques based on many different modalities (X-rays, magnetic fields, ultrasound, microwaves, elasticity and others). The treatment is fairly concise ... . The book can be used as a basis of a graduate course, or read as a survey of cutting-edge research in biomedical imaging."--- (Fritz Keinert, Mathematical Reviews, Issue 2010 j)