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The Optimization of Transcostal Phased Array Refocusing Using the Semidefinite Relaxation Method.

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    This study introduces a new semidefinite relaxation (SDR) refocusing method to improve high-intensity focused ultrasound (HIFU) therapy for tumors near ribs. The approach enhances power delivery to targets while minimizing rib exposure and potential damage.

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    Area of Science:

    • Medical Physics
    • Biomedical Engineering
    • Acoustic Imaging

    Background:

    • High-intensity focused ultrasound (HIFU) therapy faces challenges with tumors near the rib cage due to beam distortion.
    • Ribs can cause significant acoustic aberration, reducing focusing gain and potentially causing collateral damage like skin burns during hepatic tumor ablation.

    Purpose of the Study:

    • To develop and evaluate a novel refocusing algorithm for HIFU that optimizes power delivery to the target while controlling energy deposition on overlying ribs.
    • To address limitations of previous algorithms that did not allow for controlled transmission through ribs.

    Main Methods:

    • A semidefinite relaxation (SDR) technique was employed to approximate the non-convex optimization problem for HIFU refocusing.
    • A finite-difference time-domain (FDTD) model simulated acoustic propagation through inhomogeneous tissues, including ribs.
    • Temperature simulations utilized the transient bioheat transfer equation (tBHTE) to assess treatment efficacy.

    Main Results:

    • The SDR-based method, termed limited power deposition (LPD), demonstrated improved focusing gain compared to previous methods.
    • The LPD approach effectively controlled side lobes and allowed for specifying acceptable rib exposure levels.
    • Simulations confirmed that the LPD method generates realizable array excitation vectors compatible with existing drivers.

    Conclusions:

    • The novel SDR refocusing approach offers a more efficient way to steer HIFU power towards targets obscured by ribs.
    • This method enhances therapeutic efficacy by improving focusing gain and minimizing collateral damage to ribs and surrounding tissues.
    • The LPD method shows promise for safer and more effective HIFU treatments in challenging anatomical locations.