Mathematical Modeling in Biomedical Imaging I: Electrical and Ultrasound Tomographies, Anomaly Detection, and Brain Imaging

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This volume gives an introduction to a fascinating research area to applied mathematicians. It is devoted to providing the exposition of promising analytical and numerical techniques for solving challenging biomedical imaging problems, which trigger the investigation of interesting issues in various branches of mathematics.

Author(s): Jin Keun Seo, Eung Je Woo (auth.), Habib Ammari (eds.)
Series: Lecture Notes in Mathematics 1983
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2009

Language: English
Pages: 228
Tags: Mathematical Biology in General; Potential Theory; Ordinary Differential Equations; Partial Differential Equations; Imaging / Radiology

Front Matter....Pages 1-11
Multi-Frequency Electrical Impedance Tomography and Magnetic Resonance Electrical Impedance Tomography....Pages 1-71
Time Reversing Waves For Biomedical Applications....Pages 73-97
The Method of Small-Volume Expansions for Medical Imaging....Pages 99-132
Electric and Magnetic Activity of the Brain in Spherical and Ellipsoidal Geometry....Pages 133-202
Estimation of Velocity Fields and Propagation on Non-Euclidian Domains: Application to the Exploration of Cortical Spatiotemporal Dynamics....Pages 203-226
Back Matter....Pages 1-8