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Biomedical imaging is a fascinating research area to applied mathematicians. Challenging imaging problems arise and they often trigger the investigation of fundamental problems in various branches of mathematics. This is the first book to highlight the most recent mathematical developments in emerging biomedical imaging techniques. The main focus is on emerging multi-physics and multi-scales imaging approaches. For such promising techniques, it provides the basic mathematical concepts and tools for image reconstruction. Further improvements in these exciting imaging techniques require continued research in the mathematical sciences, a field that has contributed greatly to biomedical imaging and will continue to do so. The volume is suitable for a graduate-level course in applied mathematics and helps prepare the reader for a deeper understanding of research areas in biomedical imaging.

Diagnostic imaging --- Biomedical engineering --- Mathematics. --- Clinical imaging --- Imaging, Diagnostic --- Medical diagnostic imaging --- Medical imaging --- Noninvasive medical imaging --- Diagnosis, Noninvasive --- Imaging systems in medicine --- Clinical engineering --- Medical engineering --- Bioengineering --- Biophysics --- Engineering --- Medicine --- Internal medicine. --- Potential theory (Mathematics). --- Differential equations, partial. --- Differential Equations. --- Internal Medicine. --- Mathematical and Computational Biology. --- Potential Theory. --- Partial Differential Equations. --- Ordinary Differential Equations. --- 517.91 Differential equations --- Differential equations --- Partial differential equations --- Green's operators --- Green's theorem --- Potential functions (Mathematics) --- Potential, Theory of --- Mathematical analysis --- Mechanics --- Medicine, Internal --- Biomathematics. --- Partial differential equations. --- Differential equations. --- Biology --- Mathematics

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This volume reports on recent mathematical and computational advances in optical, ultrasound, and opto-acoustic tomographies. It outlines the state-of-the-art and future directions in these fields and provides readers with the most recently developed mathematical and computational tools.  It is particularly suitable for researchers and graduate students in applied mathematics and biomedical engineering.

Tomography --- Diagnostic Techniques and Procedures --- Investigative Techniques --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Diagnosis --- Diagnostic Imaging --- Tomography, Optical --- Ultrasonography --- Models, Theoretical --- Engineering & Applied Sciences --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Theory --- Applied Mathematics --- Biomedical engineering --- Mathematical models. --- Clinical engineering --- Medical engineering --- Body section radiography --- Computed tomography --- Computerized tomography --- CT (Computer tomography) --- Laminagraphy --- Laminography --- Radiological stratigraphy --- Stratigraphy, Radiological --- Tomographic imaging --- Zonography --- Mathematics. --- Radiology. --- Applied mathematics. --- Engineering mathematics. --- Physics. --- Biomedical engineering. --- Applications of Mathematics. --- Imaging / Radiology. --- Mathematical Methods in Physics. --- Biomedical Engineering. --- Bioengineering --- Biophysics --- Engineering --- Medicine --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Engineering analysis --- Mathematical analysis --- Radiological physics --- Physics --- Radiation --- Math --- Science --- Cross-sectional imaging --- Radiography, Medical --- Geometric tomography --- Radiology, Medical. --- Mathematical physics. --- Biomedical Engineering and Bioengineering. --- Clinical radiology --- Radiology, Medical --- Radiology (Medicine) --- Medical physics --- Physical mathematics

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Partial differential equations --- Differential equations --- Biomathematics. Biometry. Biostatistics --- differentiaalvergelijkingen --- Laplacetransformatie --- biomathematica --- biometrie

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Mathematics --- Mathematical physics --- Human biochemistry --- Physical methods for diagnosis --- akoestiek --- medische biochemie --- toegepaste wiskunde --- biochemie --- radiologie --- medische beeldvorming --- wiskunde

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Wireless sensor networks have received significant attention because of their important role and many conveniences in our lives. Indeed, the recent and fast advances in inexpensive sensor technology and wireless communications has made the design and development of large-scale wireless sensor networks cost-effective and appealing to a wide range of mission-critical situations, including civilian, natural, industrial, and military applications, such as health and environmental monitoring, seism monitoring, industrial process automation, and battlefields surveillance, respectively. A wireless sensor network consists of a large number of tiny, low-powered devices, called sensors, which are randomly or deterministically deployed in a field of interest while collaborating and coordinating for the successful accomplishment of their mission. These sensors suffer from very scarce resources and capabilities, such as bandwidth, storage, CPU, battery power (or energy), sensing, and communication, to name a few, with energy being the most critical one. The major challenge in the design process of this type of network is mainly due to the limited capabilities of the sensors, and particularly, their energy, which makes them unreliable. This book aims to develop a reader’s thorough understanding of the opportunities and challenges of k-covered wireless sensor networks, where each point in a deployment field is covered (or sensed) by at least k sensors. Following René Descartes’ most elegant methodology of dividing each difficulty into as many parts as might be possible and necessary to best solve it (Discours de la Method, 1637), this book presents a variety of theoretical studies based on percolation theory and computational geometry, as well as protocols that lead to the design of a unified framework, where connected k-coverage, sensor scheduling, and data routing and dissemination are jointly considered.

Civil Engineering --- Applied Mathematics --- Engineering & Applied Sciences --- Civil & Environmental Engineering --- Sensor networks. --- Wireless sensor networks. --- WSNs (Sensor networks) --- Networks, Sensor --- Engineering. --- Artificial intelligence. --- Applied mathematics. --- Engineering mathematics. --- Electrical engineering. --- Appl.Mathematics/Computational Methods of Engineering. --- Communications Engineering, Networks. --- Artificial Intelligence (incl. Robotics). --- Electric engineering --- Engineering --- Engineering analysis --- Mathematical analysis --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Construction --- Industrial arts --- Technology --- Mathematics --- Computer networks --- Low voltage systems --- Sensor networks --- Wireless communication systems --- Context-aware computing --- Detectors --- Multisensor data fusion --- Telecommunication. --- Mathematical and Computational Engineering. --- Artificial Intelligence. --- Electric communication --- Mass communication --- Telecom --- Telecommunication industry --- Telecommunications --- Communication --- Information theory --- Telecommuting