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

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.

List of contents

Multi-Frequency Electrical Impedance Tomography and Magnetic Resonance Electrical Impedance Tomography.- Time Reversing Waves For Biomedical Applications.- The Method of Small-Volume Expansions for Medical Imaging.- Electric and Magnetic Activity of the Brain in Spherical and Ellipsoidal Geometry.- Estimation of Velocity Fields and Propagation on Non-Euclidian Domains: Application to the Exploration of Cortical Spatiotemporal Dynamics.

Summary

This volume details promising analytical and numerical techniques for solving challenging biomedical imaging problems, which trigger the investigation of interesting issues in various branches of mathematics.

Product details

• Authors: Habib Ammari
• Assisted by: Habi Ammari (Editor), Habib Ammari (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 07.07.2009
• EAN: 9783642034435
• ISBN: 978-3-642-03443-5
• No. of pages: 228
• Dimensions: 156 mm x 240 mm x 7 mm
• Weight: 342 g
• Illustrations: XV, 228 p.
• Series: Lecture Notes in Mathematics; Lecture Notes in Mathematics / Mathematical Biosciences Subseries; Mathematical Biosciences Subseries; Lecture Notes in Mathematics; Mathematical Biosciences Subseries
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; B, Radiology, Bildgebende Verfahren, ULTRASOUND, Differentialrechnung und -gleichungen, Mathematische Analysis, allgemein, Mathematics and Statistics, Tomography, Ordinary Differential Equations, Imaging / Radiology, Partial Differential Equations, Differential calculus & equations, Differential equations, Stochastics, Medical imaging, Biomathematics, Mathematical and Computational Biology, Potential Theory, Potential theory (Mathematics)