Applications of computational homology to medical imaging analysis

• Project/Area Number: 23740084
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: Asahikawa Medical College (2012-2013); Chitose Institute of Science and Technology (2011)
• Principal Investigator: TERAMOTO Takashi 旭川医科大学, 医学部, 准教授 (40382543)
• Co-Investigator(Renkei-kenkyūsha): KAMIYA Takeshi 琉球大学, 医学部付属病院, 医員 (70640647)
• Project Period (FY): 2011 – 2013
• Project Status: Completed (Fiscal Year 2013)
• Budget Amount: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000); Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
• Keywords: 計算トポロジー / 数値解析 / 骨梁構造 / 計算ホモロジー / 応用数学 / マイクロCT / 画像診断

Research Abstract

We demonstrated the applications of computational homology theory to medical imaging analysis implementing the mathematical software to evaluate the connectivity of trabecular bone 3D structure. By investigating the high resolution micro CT data of tendon graft model in rabbits using our software, we characterized the prevention of bone-tunnel enlargement through the administration of therapeutic drugs. The drug and control groups are significantly separated with respect to the 3D Betti numbers computed from the data of trabecular bone 3D structures.

Research Products

• [Journal Article] Robust pulse generators in an excitable medium with jump-type heterogeneity (2014)
  • Author(s): M.Yadome, Y.Nishiura, T. Teramoto
  • Journal Title: SIAM Journal of Applied Dynamical Systems Volume: 巻13(受理済)
  • Peer Reviewed
• [Journal Article] Dynamics of two interfaces in a hybrid system with jump-type heterogeneity (2013)
  • Author(s): K.Nishi, Y.Nishiura, T. Teramoto
  • Journal Title: Japan Journal of Applied and Industrial Mathematics Volume: 巻30 Pages: 351-395
  • NAID: 10031185313
  • Peer Reviewed
• [Journal Article] Dynamics of two interfaces in a hybrid system with jump-type heterogeneity (2013)
  • Author(s): K.Nishi, Y.Nishiura, T.Teramoto
  • Journal Title: Japan J. Indust. Appl. Math Volume: Vol.30 Issue: 2 Pages: 351-395
  • DOI: 10.1007/s13160-013-0100-x
  • NAID: 10031185313
  • Peer Reviewed
• [Journal Article] Heterogeneity-induced spot dynamics for a three-component reaction-diffusion system (2012)
  • Author(s): Y.Nishiura, T. Teramoto, X.Yuan
  • Journal Title: Communications on Pure and Applied Analysis Volume: 巻11 Pages: 307-338
  • Peer Reviewed
• [Journal Article] Heterogeneity-induced spot dynamics for a three-component reaction-diffusion system (2012)
  • Author(s): Y.Nishiura, T.Teramoto, X.Yuan
  • Journal Title: Communications on Pure and Applied Analysis Volume: Vol.11 Issue: 1 Pages: 307-338
  • DOI: 10.3934/cpaa.2012.11.307
  • Peer Reviewed
• [Presentation] 腱移植モデルにおけるアレンドロネートの効果 (2013)
  • Author(s): 神谷, 新城, 金谷, 伊東, 寺本
  • Organizer: 第28回日本整形外科学会基礎学術集会
  • Place of Presentation: 千葉
• [Presentation] 計算トポロジーによる骨微細構造の定量評価 (2013)
  • Author(s): 寺本, 櫻井, 神谷, 新城, 金谷
  • Organizer: 第33回日本骨形態計測学会
  • Place of Presentation: 浜松
• [Presentation] Heterogeneity-induced pulse generators in a generalized FitzHugh-Nagumo system (2013)
  • Author(s): T. Teramoto
  • Organizer: IMA Workshop Joint US-Japan Workshop for Young Researchers on Interactions among Localized Patterns in Dissipative Systems
  • Place of Presentation: Minneapolis,USA
  • Invited
• [Presentation] 計算トポロジーによる骨微細構造の定量的評価 (2013)
  • Author(s): 寺本敬, 櫻井泰良,神谷武志, 新城宏隆, 金谷文則
  • Organizer: 第33回日本骨形態計測学会
  • Place of Presentation: 浜松市
• [Presentation] 腱移植モデルにおけるアレンドロネートの効果 (2013)
  • Author(s): 神谷武志, 新城宏隆, 金谷文則, 伊東昌子, 寺本敬
  • Organizer: 第28回に本整形外科学会基礎学術集会
  • Place of Presentation: 千葉市
• [Presentation] 腱移植モデルの医療CT 画像への計算トポロジー (2012)
  • Author(s): 寺本, 櫻井, 神谷, 新城, 山口
  • Organizer: 2012 年度応用数学合同研究集会
  • Place of Presentation: 大津
• [Presentation] 腱移植モデルにおけるマイクロCT 画像のトポロジー解析 (2012)
  • Author(s): 寺本, 櫻井, 神谷, 新城, 山口
  • Organizer: 第31回日本医用画像工学会
  • Place of Presentation: 札幌
• [Presentation] 腱移植モデルにおけるマイクロCT画像のトポロジー解析 (2012)
  • Author(s): 寺本敬, 櫻井泰良, 神谷武志, 新城宏隆, 山口浩
  • Organizer: 第31回日本医用画像工学会
  • Place of Presentation: JA北海道厚生連札幌厚生病院
• [Presentation] 腱移植モデルの医療CT画像への計算トポロジー (2012)
  • Author(s): 寺本敬, 櫻井泰良, 神谷武志, 新城宏隆, 山口浩
  • Organizer: 2012年度応用数学合同研究集会
  • Place of Presentation: 龍谷大学
• [Presentation] Deformation-induced spot dynamics for a three component system (2011)
  • Author(s): T. Teramoto
  • Organizer: 7^<th> International Congress on Industrial and Applied Mathematics
  • Place of Presentation: Vancouver, Canada
• [Presentation] Spot dynamics with peanut instability in dissipative systems
  • Author(s): Takashi Teramoto
  • Organizer: Interdisciplinary Mathematics toward Smart Innovation "Mathematical Models of Biological Phenomena and their Analysis"(招待講演)
  • Place of Presentation: 仙台
• [Presentation] Deformation-induced spot dynamics for a three component system
  • Author(s): Takashi Teramoto
  • Organizer: 7th International Congress on Industrial and Applied Mathematics
  • Place of Presentation: バンクーバー
• [Book] 砂漠化問題のバスタブモデル（臨時別冊・数理科学『現象から方程式を創り出す』） (2012)
  • Author(s): 西浦廉政, 寺本敬
  • Total Pages: 8
  • Publisher: サイエンス社
• [Remarks] RIMS 国際研究集会 FFED 2011
  • URL: http://www.asahikawa-med.ac.jp/dept/ge/math/archive0108/index.html