強力集束超音波と微細気泡を用いた非侵襲腫瘍治療技術のための数理的研究

2013 Fiscal Year Annual Research Report

• Project/Area Number: 12J05892
• Research Institution: The University of Tokyo
• Principal Investigator: 金川 哲也 東京大学, 大学院工学系研究科, 特別研究員(PD)
• Project Period (FY): 2012 – 2014-03-31
• Keywords: 非線形波動 / 非線形音響 / 非線形音波 / 弱非線形 / 気泡流 / マイクロバブル / 集束音波 / トモグラフィ

Research Abstract

前年度の成果を受けて、本年度は、超音波と気泡を併用した低侵襲腫瘍治療技術開発に向けた基盤の構築を主眼におき、以下の4点を遂行した : (1)多数の気泡を含む水中における弱非線形音響波伝播を記述する、非線形波動方程式群(KdV-Burgers方程式・非線形Schrodinger方程式)の数値解析を行った。有限差分波形を描き、非線形性・分散性・散逸性の競合に対する定量的理解を得て、そのボイド率依存性を明らかにした ; (2)気泡壁近傍の局所的高圧を記述可能である点に特長を有する気泡流の平均化モデル方程式系(Egashira, Yano & Fujikawa, 2004)の固有値解析を行った。運動量保存則の相関輸送項に組み込まれる付加慣性力の表式が、モデル方程式の数学的適切性に強く寄与することを証明した ; (3)マイクロオーダの脂質気泡造影剤を治療増感剤に用いることを目指して、気泡群が壊れないような低強度の集束超音波を用いて、音場の基礎的な計測を行った ; (4)リング型トランスデューサを用いた超音波トモグラフィにおいて、屈折を考慮した音速再構成法の検討を行った。
以上のとおり、気泡力学と音響学が絡み合う多様な系における、多様な観点および手法をとおした成果の創出とは、技術開発へと資する基盤創成に他ならない。今後は、腫瘍治療技術の設計に向けて、これらの成果群を統合することに力を注ぐ。

Strategy for Future Research Activity

(抄録なし)

Research Products

• [Journal Article] Numerical Analysis of Weakly Nonlinear Propagation of Ultrasoundin Bubbly Liquids (2014)
  • Author(s): T. Kanagawa, J. Kawahara
  • Journal Title: JPS Conference Proceedings Volume: 1 Pages: 015050
  • DOI: 10.7566/JPSCP.1.015050
  • Peer Reviewed
• [Journal Article] Effects of Liquid Compressibility on Mathematical Well-Posedness of Two-Fluid Model Equation for Bubbly Flows (2014)
  • Author(s): R. Egashira, T. Kanagawa
  • Journal Title: JPS Conference Proceedings Volume: 1 Pages: 015051
  • DOI: 10.7566/JPSCP.1.015051
  • Peer Reviewed
• [Journal Article] 非線形波動理論に基づく気泡流中の音響波の系統的理解 (2014)
  • Author(s): 金川哲也
  • Journal Title: 北海道大学数学講究録 Volume: 160 Pages: 293-296
• [Journal Article] Numerical Study on Acoustics in Bubbly Liquids Based on Weakly Nonlinear Wave Equations (2013)
  • Author(s): T. Kanagawa, R. Egashira
  • Journal Title: AIP Conference Procee dings Volume: 1558 Pages: 2341-2343
  • DOI: 10.1063/1.4826010
  • Peer Reviewed
• [Journal Article] Experiment on Focused Ultrasound in Bubbly Liquids : Relation among Void Fraction, Attenuation and Resonance (2013)
  • Author(s): T. Kanagawa, I. Oka, R. Narumi, K. Matsuki, T. Azuma, K. Yoshinaka, A. Sasaki, S. Takagi, Y. Matsumoto
  • Journal Title: Proceedings of the International Conference on Multiphase Flow 2013
  • Peer Reviewed
• [Journal Article] Mathematical Well-Posedness of Two-Fluid Model Equation Taking Interfacial Pressure into Account (2013)
  • Author(s): R. Egashira, T. Kanagawa
  • Journal Title: Proceedings of the International Conference on Multiphase Flow 2013
  • Peer Reviewed
• [Journal Article] A Classification of Wealkly Nonlinear Waves in Bubbly Liquids Based on Systematic Treatment of Sizes of Liquid Compressibility (2013)
  • Author(s): T. Kanagawa, R. Egashira
  • Journal Title: Proceedings of the International Confrenceon Multiphase Flow 2013
  • Peer Reviewed
• [Journal Article] Focused Ultrasound Propagation in Water Containing Many Therapeutic Microbubbles (2013)
  • Author(s): T. Kanagawa, I. Oka, T. Azuma, R. Narumi, K. Matsuki, A. Sasaki, K. Yoshinaka, S. Takagi, Y. Matsumoto
  • Journal Title: Proceedings of the 12th International Symposium on Flow Control, Measurement and Visualization
  • Peer Reviewed
• [Journal Article] Nonlinear Wave Propagation in Bubbly Liquids (2013)
  • Author(s): 矢野猛, 金川哲也, 渡部正夫, 藤川重雄
  • Journal Title: Shock Wave Science and Technology Reference Library (Ed. : C. F. Delale) Volume: 8 Pages: 339 (107-140)
  • DOI: 10.1007/978-3-642-34297-4_4
  • Peer Reviewed
• [Presentation] 非線形波動理論に基づく気泡流中の音響波の系統的理解 (2014)
  • Author(s): 金川哲也
  • Organizer: 第10回数学若手研究集会
  • Place of Presentation: 北海道大学(札幌)
  • Year and Date: 2014-03-05
• [Presentation] Algebraic reconstruction technique considering curved ray for sound-speed tomography with ring-array transducer (2013)
  • Author(s): H. Nakamura, T. Kanagawa, S. Tamano, T. Azuma, K. Yoshinaka, A. Sasaki, S. Takagi, Y. Matsumoto
  • Organizer: 166th Meeting of the Acoustical Society of America
  • Place of Presentation: Hilton San Francisco Union Square (San Francisco, CA, USA)
  • Year and Date: 2013-12-05
• [Presentation] 超音波CTをベースとした超音波診断治療統合システムの開発 (2013)
  • Author(s): 中村弘文, 清水悠輝, 杉山隆介, 金川哲也, 玉野 聡, 東 隆, 葭仲潔, 佐々木 明, 高木 周, 松本洋一郎
  • Organizer: 第12回日本超音波治療研究会
  • Place of Presentation: 帝京大学(東京)
  • Year and Date: 2013-11-30
• [Presentation] リング型トランスデューサを用いた超音波CTにおける屈折を考慮した音速再構成法の検討 (2013)
  • Author(s): 中村弘文, 清水悠輝, 金川哲也, 玉野 聡, 東 隆, 葭仲 潔, 佐々木 明, 高木 周, 松本洋一郎
  • Organizer: 第34回超音波エレクトロニクスの基礎と応用に関するシンポジウム
  • Place of Presentation: 同志社大学(京都)
  • Year and Date: 2013-11-22
• [Presentation] Focused Ultrasound Propagation in. Water Containing Many Therapeutic Microbubbles (2013)
  • Author(s): T. Kanagawa, I. Oka, T. Azuma, R. Narumi, K. Matsuki, A. Sasaki, K. Yoshinaka, S. Takagi, Y. Matsumoto
  • Organizer: 12th International Conference on Fluid Control, Measurements, and Visualization
  • Place of Presentation: Nara Prefecture New Public Hall (Nara, Japan)
  • Year and Date: 2013-11-21
• [Presentation] 脂質気泡の一様分散下ゲルに照射される低・高強度集束超音波の計測 (2013)
  • Author(s): 金川哲也, 岡 功, 東 隆, 松木航介, 鳴見竜太, 佐々木 明, 葭仲潔, 高木 周, 松本洋一郎
  • Organizer: 第91期日本機械学会流体工学部門講演会
  • Place of Presentation: 九州大学(福岡)
  • Year and Date: 2013-11-10
• [Presentation] 気泡流中での包絡ソリトンの存在性検証へ向けたNLS方程式の数値的検討 (2013)
  • Author(s): 金川哲也, 江頭 竜
  • Organizer: RIMS研究集会「非線形波動現象の数理と応用」
  • Place of Presentation: 京都大学(京都)
  • Year and Date: 2013-10-16
• [Presentation] Numerical Study on Acoustics in Bubbly Liquids Based on Weakly Nonlinear Wave Equations (2013)
  • Author(s): T. Kanagawa, R. Egashira
  • Organizer: 11th International Conference of Numerical Analysis and Applied Mathematics 2013
  • Place of Presentation: Rodos Palace Hotel (Rhodes, Greece)
  • Year and Date: 2013-09-26
• [Presentation] Effects of Liquid Compressibility on Mathematical Well-Posedness of Two-Fluid Model Equation for Bubbly Flows (2013)
  • Author(s): R. Egashira, T, Kanagawa
  • Organizer: The 12th Asia Pacific Physics Conference
  • Place of Presentation: Lobby of Makuhari International Conference Hall (Chiba, Japan)
  • Year and Date: 2013-07-18
• [Presentation] Weakly Nonlinear Propagation of Ultrasound Beams in Bubbly Liquids (2013)
  • Author(s): T. Kanagawa, J. Kawahara
  • Organizer: The 12th Asia Pacific Physics Conference
  • Place of Presentation: Lobby of Makuhari International Conference Hall (Chiba, Japan)
  • Year and Date: 2013-07-18
• [Presentation] マイクロバブルを含む水中における集束超音波の周波数応答計測 (2013)
  • Author(s): 金川哲也, 岡 功, 鳴見竜太, 松木航介, 廣瀬巧大, 東 隆, 葭仲潔, 佐々木 明, 高木 周, 松本洋一郎
  • Organizer: 可視化情報シンポジウム2013
  • Place of Presentation: 工学院大学(東京)
  • Year and Date: 2013-07-17
• [Presentation] A Classification of Weakly Nonlinear Waves in Bubbly Liquids Based on Systematic Treatment of Sizes of Liquid Compressibility (2013)
  • Author(s): T. Kanagawa, R. Egashira
  • Organizer: International Conference on Multiphase Flow 2013
  • Place of Presentation: ICC Jeju (Jeju, Korea)
  • Year and Date: 2013-05-31
• [Presentation] Mathematical Well-Posedness of Two-Fluid Model Equation Taking Interfacial Pressure into Account (2013)
  • Author(s): R. Egashira, T. Kanagawa
  • Organizer: International Conference on Multiphase Flow 2013
  • Place of Presentation: ICC Jeju (Jeju, Korea)
  • Year and Date: 2013-05-28
• [Presentation] Experiment on Focused Ultrasound in Bubbly Liquids : Relation among Void Fraction, Attenuation and Resonance (2013)
  • Author(s): T. Kanagawa, I. Oka, R. Narumi, K. Matsuki, T. Azuma, K. Yoshinaka, A. Sasaki, S. Takagi, Y. Matsumoto
  • Organizer: International Conference on Multiphase Flow 2013
  • Place of Presentation: ICC Jeju (Jeiu, Korea)
  • Year and Date: 2013-05-27
• [Presentation] Ultrasound Tomography to Monitor for Breast Cancer Treatment Using High Intensity Focused Ultrasound Therapy (2013)
  • Author(s): T. Kanagawa, H. Nakamura, R. Aoyagi, T. Azuma, K. Yoshinaka, A. Sasaki, S. Takagi, Y. Matsumoto
  • Organizer: 13th International Symposium on Therapeutic Ultrasound
  • Place of Presentation: Regal International East Asia Hotel (Shanghai, China)
  • Year and Date: 2013-05-15
• [Presentation] Temperature Measurement of HIFU Using a Thin-Film Thermocouple Array (2013)
  • Author(s): K. Matsuki, R. Narumi, T. Azuma, K. Yoshinaka, A. Sasaki, T. Kanagawa, K. Okita, S. Takagi, Y. Matsumoto
  • Organizer: 13th International Symposium on Therapeutic Ultrasound
  • Place of Presentation: Regal International East Asia Hotel (Shanghai, China)
  • Year and Date: 2013-05-14
• [Remarks]
  • URL: https://sites.google.com/site/tkanagawatokyo/
• [Remarks]
  • URL: http://jglobal.jst.go.jp/public/20090422/201101039270149685