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The topic of this work are two further developments of the Factorization method for electrical impedance tomography.We present a modification of this method that is capable of detecting mixed inclusions, i.e. both inclusions with a higher as well as inclusions with a lower conductivity than the background medium. In addition, we derive a new method to compute the conductivity inside inclusions after they have been localized.

Factorization Method --- Inverse Problem --- Electrical Impedance Tomography

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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.

Biomedical engineering --- Electrical impedance tomography --- Imaging systems in medicine --- Diagnostic Imaging --- Tomography --- Electronics, Medical --- Models, Theoretical --- Electric Impedance --- Diagnostic Techniques and Procedures --- Investigative Techniques --- Electric Conductivity --- Electronics --- Electricity --- Physics --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Diagnosis --- Electromagnetic Phenomena --- Natural Science Disciplines --- Physical Phenomena --- Disciplines and Occupations --- Phenomena and Processes --- Biology - General --- Biomedical Engineering --- Health & Biological Sciences --- Biology --- Mathematical models --- Electrical impedance tomography. --- Mathematical models. --- Applied potential tomography --- Electrical impedance imaging --- Clinical engineering --- Medical engineering --- Mathematics. --- Radiology. --- Differential equations. --- Partial differential equations. --- Potential theory (Mathematics). --- Biomathematics. --- Mathematical and Computational Biology. --- Potential Theory. --- Ordinary Differential Equations. --- Partial Differential Equations. --- Imaging / Radiology. --- Mathematics --- Green's operators --- Green's theorem --- Potential functions (Mathematics) --- Potential, Theory of --- Mathematical analysis --- Mechanics --- Partial differential equations --- 517.91 Differential equations --- Differential equations --- Radiological physics --- Radiation --- Math --- Science --- Bioengineering --- Biophysics --- Engineering --- Medicine --- Differential Equations. --- Differential equations, partial. --- Radiology, Medical. --- Clinical radiology --- Radiology, Medical --- Radiology (Medicine) --- Medical physics

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These proceedings continue the series edited in the framework of the traditional triennial International Conference on Electrical Bio-Impedance (ICEBI), the most important platform for presenting recent scientific achievements in the area of electrical bio-impedance. The XIII ICEBI was held from Aug. 29th – Sept. 02nd 2007 at the Graz University of Technology in Graz, Austria. As already in previous years the 13th ICEBI was held together with the 8th Conference on Electrical Impedance Tomography, the annual meeting for biomedical impedance imaging. Consequently, the proceedings also contain many contributions from this very important and challenging branch of bioimpedance research. When compared to previous ICEBIs we notice a slight reduction of publications dedicated to purely theoretical models of bioimpedance phenomena while there was a significant increase of presentations on non-contacting and multimodal imaging technologies, cellular applications and specific biomedical applications. Among the latter pulmonary monitoring, multi-segmental BIA and cellular applications should be especially mentioned as obviously being in the transition from basic research to clinical usefulness. The growth of interest for bioimpedance research is also reflected by two additional facts, namely the foundation of the International Society for Electrical Bio-Impedance (ISEBI) at the preceding conference 2004 in Gdansk and the kind endorsement of the 13th ICEBI by the IFMBE and its offer to publish scientific papers in the series of IFMBE proceedings. Seeing all these favourable developments the editorial board is more than optimistic that bio-impedance research will continue its successful way and further contribute to the overall prosperity of biomedical engineering.

Impedance, Bioelectric --- Electrical impedance tomography --- Applied potential tomography --- Electrical impedance imaging --- Tomography --- Bioelectric impedance --- Bioelectrical impedance --- Electrophysiology --- Impedance (Electricity) --- Radiology, Medical. --- Biomedical engineering. --- Medicine. --- Microwaves. --- Cytology. --- Imaging / Radiology. --- Biomedical Engineering and Bioengineering. --- Molecular Medicine. --- Microwaves, RF and Optical Engineering. --- Cell Biology. --- Cell biology --- Cellular biology --- Biology --- Cells --- Cytologists --- Hertzian waves --- Electric waves --- Electromagnetic waves --- Geomagnetic micropulsations --- Radio waves --- Shortwave radio --- Clinical sciences --- Medical profession --- Human biology --- Life sciences --- Medical sciences --- Pathology --- Physicians --- Clinical engineering --- Medical engineering --- Bioengineering --- Biophysics --- Engineering --- Medicine --- Clinical radiology --- Radiology, Medical --- Radiology (Medicine) --- Medical physics --- Radiology. --- Molecular biology. --- Optical engineering. --- Cell biology. --- Mechanical engineering --- Molecular biochemistry --- Molecular biophysics --- Biochemistry --- Biomolecules --- Systems biology --- Radiological physics --- Physics --- Radiation