Solving the Time- and Frequency-Multiplexed Problem of Constrained Radiofrequency Induced Hyperthermia
Targeted radiofrequency (RF) heating induced hyperthermia has a wide range of applications, ranging from adjunct anti-cancer treatment to localized release of drugs. Focal RF heating is usually approached using time-consuming nonconvex optimization procedures or approximations, which significantly h...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-04-01
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| Series: | Cancers |
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| Online Access: | https://www.mdpi.com/2072-6694/12/5/1072 |
| _version_ | 1797569676685869056 |
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| author | Andre Kuehne Eva Oberacker Helmar Waiczies Thoralf Niendorf |
| author_facet | Andre Kuehne Eva Oberacker Helmar Waiczies Thoralf Niendorf |
| author_sort | Andre Kuehne |
| collection | DOAJ |
| description | Targeted radiofrequency (RF) heating induced hyperthermia has a wide range of applications, ranging from adjunct anti-cancer treatment to localized release of drugs. Focal RF heating is usually approached using time-consuming nonconvex optimization procedures or approximations, which significantly hampers its application. To address this limitation, this work presents an algorithm that recasts the problem as a semidefinite program and quickly solves it to global optimality, even for very large (human voxel) models. The target region and a desired RF power deposition pattern as well as constraints can be freely defined on a voxel level, and the optimum application RF frequencies and time-multiplexed RF excitations are automatically determined. 2D and 3D example applications conducted for test objects containing pure water (r<sub>target</sub> = 19 mm, frequency range: 500–2000 MHz) and for human brain models including brain tumors of various size (r<sub>1</sub> = 20 mm, r<sub>2</sub> = 30 mm, frequency range 100–1000 MHz) and locations (center, off-center, disjoint) demonstrate the applicability and capabilities of the proposed approach. Due to its high performance, the algorithm can solve typical clinical problems in a few seconds, making the presented approach ideally suited for interactive hyperthermia treatment planning, thermal dose and safety management, and the design, rapid evaluation, and comparison of RF applicator configurations. |
| first_indexed | 2024-03-10T20:14:02Z |
| format | Article |
| id | doaj.art-f66345d39f82454d9905accfc204393d |
| institution | Directory Open Access Journal |
| issn | 2072-6694 |
| language | English |
| last_indexed | 2024-03-10T20:14:02Z |
| publishDate | 2020-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Cancers |
| spelling | doaj.art-f66345d39f82454d9905accfc204393d2023-11-19T22:43:22ZengMDPI AGCancers2072-66942020-04-01125107210.3390/cancers12051072Solving the Time- and Frequency-Multiplexed Problem of Constrained Radiofrequency Induced HyperthermiaAndre Kuehne0Eva Oberacker1Helmar Waiczies2Thoralf Niendorf3MRI.TOOLS GmbH, Robert-Roessle-Str. 10, 13125 Berlin, GermanyBerlin Ultrahigh Field Facility (B.U.F.F.), Max-Delbrück-Center for Molecular Medicine in the Helmholtz Association, Robert-Roessle-Str. 10, 13125 Berlin, GermanyMRI.TOOLS GmbH, Robert-Roessle-Str. 10, 13125 Berlin, GermanyMRI.TOOLS GmbH, Robert-Roessle-Str. 10, 13125 Berlin, GermanyTargeted radiofrequency (RF) heating induced hyperthermia has a wide range of applications, ranging from adjunct anti-cancer treatment to localized release of drugs. Focal RF heating is usually approached using time-consuming nonconvex optimization procedures or approximations, which significantly hampers its application. To address this limitation, this work presents an algorithm that recasts the problem as a semidefinite program and quickly solves it to global optimality, even for very large (human voxel) models. The target region and a desired RF power deposition pattern as well as constraints can be freely defined on a voxel level, and the optimum application RF frequencies and time-multiplexed RF excitations are automatically determined. 2D and 3D example applications conducted for test objects containing pure water (r<sub>target</sub> = 19 mm, frequency range: 500–2000 MHz) and for human brain models including brain tumors of various size (r<sub>1</sub> = 20 mm, r<sub>2</sub> = 30 mm, frequency range 100–1000 MHz) and locations (center, off-center, disjoint) demonstrate the applicability and capabilities of the proposed approach. Due to its high performance, the algorithm can solve typical clinical problems in a few seconds, making the presented approach ideally suited for interactive hyperthermia treatment planning, thermal dose and safety management, and the design, rapid evaluation, and comparison of RF applicator configurations.https://www.mdpi.com/2072-6694/12/5/1072RF hyperthermiathermal interventionfield shapingfield focusingRF applicatorhyperthermia treatment planning |
| spellingShingle | Andre Kuehne Eva Oberacker Helmar Waiczies Thoralf Niendorf Solving the Time- and Frequency-Multiplexed Problem of Constrained Radiofrequency Induced Hyperthermia Cancers RF hyperthermia thermal intervention field shaping field focusing RF applicator hyperthermia treatment planning |
| title | Solving the Time- and Frequency-Multiplexed Problem of Constrained Radiofrequency Induced Hyperthermia |
| title_full | Solving the Time- and Frequency-Multiplexed Problem of Constrained Radiofrequency Induced Hyperthermia |
| title_fullStr | Solving the Time- and Frequency-Multiplexed Problem of Constrained Radiofrequency Induced Hyperthermia |
| title_full_unstemmed | Solving the Time- and Frequency-Multiplexed Problem of Constrained Radiofrequency Induced Hyperthermia |
| title_short | Solving the Time- and Frequency-Multiplexed Problem of Constrained Radiofrequency Induced Hyperthermia |
| title_sort | solving the time and frequency multiplexed problem of constrained radiofrequency induced hyperthermia |
| topic | RF hyperthermia thermal intervention field shaping field focusing RF applicator hyperthermia treatment planning |
| url | https://www.mdpi.com/2072-6694/12/5/1072 |
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