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9 May 2005 An analytical model for the interaction of focused ultrasound with biological structures
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A model based analysis of the interaction of high intensity focused ultrasound with biological materials is carried out in an effort to predict the path of the sound waves and the temperature field in the focal region. A finite element based general purpose code called PZFlex is used to determine the effects of nonlinearity and geometrical complexity of biological structures. It was found that at frequencies of interest in therapeutic applications, the nonlinear effects are usually negligible and the geometrical complexities can be handled through a sub-structuring procedure. An approximate analytical method is developed as an alternative to the purely numerical approach used in PZFlex. The mechanical and thermal effects in two-layered fluid material systems induced by high-frequency focused ultrasound are calculated through this analytical method. The analytical method is shown to be computationally much more efficient than the numerical method and to yield results with acceptable accuracy for clinical applications.
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Ajit K. Mal and Feng Feng "An analytical model for the interaction of focused ultrasound with biological structures", Proc. SPIE 5768, Health Monitoring and Smart Nondestructive Evaluation of Structural and Biological Systems IV, (9 May 2005);

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