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Inverse Methods in Parameter Estimation for High Intensity Focused Ultrasound (HIFU)

Fox-Neff, Kristen
http://orcid.org/0000-0003-1925-605X
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1459155373

Abstract Details

2016, PhD, University of Cincinnati, Arts and Sciences: Mathematical Sciences.
High Intensity Focused Ultrasound (HIFU) treatment heats a specified region of tissue to deliver thermal responsive drugs or destroy cancerous tumors noninvasively. To focus HIFU in the desired area, one needs to accurately calculate thermal tissue parameters, an inverse problem. As is the case for tumors located in internal organs, it is difficult to focus HIFU transducers on a target area without heating the surrounding heterogeneous tissue. While average values of tissue parameters are known, values differ from person to person affecting the location, shape and size of the area actually heated from the predicted area significantly unless we account for these individualized parameters. Thus to calibrate the focus of the HIFU, it is important to know individual tissue parameters. In this work we formulate methods to calculate tissue parameters on an individual basis. Additionally we provide bounds on the amount of error expected for each method and analyze how much error in a tissue parameter affects the resulting temperature response. Finally, we present an algorithm that outlines how to combine these individual methods to calculate absorption, thermal conductivity and perfusion in heterogeneous tissue given only the temperature response to an unknown acoustic field.
Benjamin Vaughan, Ph.D. (Committee Chair)
Donald French, Ph.D. (Committee Member)
Sookkyung Lim, Ph.D. (Committee Member)
94 p.
Mathematics
inverse method; HIFU; thermal conductivity; estimate; absorption; perfusion

Recommended Citations

Citations

  • Fox-Neff, K. (2016). Inverse Methods in Parameter Estimation for High Intensity Focused Ultrasound (HIFU) [Doctoral dissertation, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1459155373

    APA Style (7th edition)

  • Fox-Neff, Kristen. Inverse Methods in Parameter Estimation for High Intensity Focused Ultrasound (HIFU). 2016. University of Cincinnati, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1459155373.

    MLA Style (8th edition)

  • Fox-Neff, Kristen. "Inverse Methods in Parameter Estimation for High Intensity Focused Ultrasound (HIFU)." Doctoral dissertation, University of Cincinnati, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1459155373

    Chicago Manual of Style (17th edition)

ucin1459155373
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© 2016, all rights reserved.
This open access ETD is published by University of Cincinnati and OhioLINK.
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