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    Copyright
    Editorial Advisory Board
    List of Contributors
    Preface
    About the Editors
    Ch. I. Computational Methods and Tools for Decision Support in Biomedicine: An Overview of Algorithmic Challenges
    Ch. II. Integrating Imaging and Clinical Data for Decision Support
    Ch. III. Analysis and Quantification of Motion within the Cardiovascular System: Implications for the Mechanical Strain of Cardiovascular Structures
    Ch. IV. New Developments in Intracoronary Ultrasound Processing
    Ch. V. Diagnostic Support Systems and Computational Intelligence: Differential Diagnosis of Hepatic Lesions from Computed Tomography Images
    Ch. VI. Significance Estimation in fMRI from Random Matrices
    Ch. VII. Optimal Diffusion Encoding Strategies for Fiber Mapping in Diffusion MRI
    Ch. VIII. Segmentation of Cardiac Magnetic Resonance Images
    Ch. IX. Image Registration Algorithms for Applications in Oncology
    Ch. X. Computer-Aided Diagnosis in Breast Imaging: Trends and Challenges
    Ch. XI. Assessment of Stroke by Analysing Carotid Plaque Morphology
    Ch. XII. Quantitative Analysis of Hysteroscopy Imaging in Gynaecological Cancer
    Ch. XIII. Combining Geometry and Image in Biomedical Systems: The RT TPS Case
    Ch. XIV. Internal Radionuclide Dosimetry using Quantitative 3-D Nuclear Medical Imaging
    Ch. XV. Diffusion Tensor Imaging and Fiber Tractography
    Ch. XVI. Image Processing and Machine Learning Techniques for Facial Expression Recognition
    Ch. XVII. Developments and Advances in Biomedical Functional Infrared Imaging
    Ch. XVIII. DNA Microarrays: Analysis and Interpretation
    Ch. XIX. Image Processing and Machine Learning Techniques for the Segmentation of cDNA Microarray Images
    Ch. XX. Recent Advances in Automated Chromosome Image Analysis
    Ch. XXI. Machine Learning in Morphological Segmentation
    Ch. XXII. Pit Pattern Classification Using Multichannel Features and Multiclassification
    Ch. XXIII. Automatic Identification and Elastic Properties of Deformed Objects Using their Microscopic Images
    Ch. XXIV. Nonlinear Ultrasound Radiation-Force Elastography
    ABSTRACT
    INTRODUCTION
    BACKGROUND
    HARMONIC ULTRASOUND RADIATION-FORCE IMAGING
    FUTURE TRENDS
    CONCLUSION
    ACKNOWLEDGMENT
    REFERENCES
    KEY TERMS
    ENDNOTES
    Ch. XXV. Dynamic Contrast Enhancement: Analysis's Models and Methodologies
    Ch. XXVI. Automatic Correspondence Methods towards Point-Based Medical Image Registration: An Evaluation Study
    Ch. XXVII. Anomaly Detection in Medical Image Analysis
    Ch. XXVIII. Evaluation of Medical Image Compression
    Ch. XXIX. Advanced ROI Coding Techniques for Medical Imaging
    Ch. XXX. Segmentation Methods in Ultrasound Images
    Compilation of References
    About the Contributors
    Index
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    Chapter XXIV. Nonlinear Ultrasound Radia... > HARMONIC ULTRASOUND RADIATION-FORCE ...

    HARMONIC ULTRASOUND RADIATION-FORCE IMAGING

    The radiation force exerted in an infinite isotropic, homogeneous, and attenuating medium is considered here. In addition, because the pressure in the focal zone region may be large, it is necessary to account for the presence of harmonics generated by nonlinear effects (Giannoula, 2007; Giannoula, 2008b).

    Description of the Proposed Dual-Beam system Model

    For a finite-amplitude ultrasound beam propagating in an attenuating medium, it can be shown that the force per unit volume, generated at location r, is given by (Nyborg, 1998):


      

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