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2013 Fiscal Year Final Research Report

Applications of computational homology to medical imaging analysis

Research Project

  • PDF
Project/Area Number 23740084
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionAsahikawa 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
Keywords計算トポロジー / 数値解析 / 骨梁構造
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

    (10 results)

All 2014 2013 2012 2011 Other

All Journal Article (3 results) (of which Peer Reviewed: 3 results) Presentation (6 results) (of which Invited: 1 results) Remarks (1 results)

  • [Journal Article] Robust pulse generators in an excitable medium with jump-type heterogeneity2014

    • 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 heterogeneity2013

    • Author(s)
      K.Nishi, Y.Nishiura, T. Teramoto
    • Journal Title

      Japan Journal of Applied and Industrial Mathematics

      Volume: 巻30 Pages: 351-395

    • Peer Reviewed
  • [Journal Article] Heterogeneity-induced spot dynamics for a three-component reaction-diffusion system2012

    • Author(s)
      Y.Nishiura, T. Teramoto, X.Yuan
    • Journal Title

      Communications on Pure and Applied Analysis

      Volume: 巻11 Pages: 307-338

    • 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
    • Year and Date
      20131000
  • [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
    • Year and Date
      20130700
  • [Presentation] Heterogeneity-induced pulse generators in a generalized FitzHugh-Nagumo system2013

    • 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
    • Year and Date
      20130600
    • Invited
  • [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
    • Year and Date
      20121200
  • [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
    • Year and Date
      20120800
  • [Presentation] Deformation-induced spot dynamics for a three component system2011

    • Author(s)
      T. Teramoto
    • Organizer
      7^<th> International Congress on Industrial and Applied Mathematics
    • Place of Presentation
      Vancouver, Canada
    • Year and Date
      20110700
  • [Remarks] RIMS 国際研究集会 FFED 2011

    • URL

      http://www.asahikawa-med.ac.jp/dept/ge/math/archive0108/index.html

URL: 

Published: 2015-06-25  

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