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Applications of Computational Topology to immunohistochemistory

Research Project

Project/Area Number 15KT0100
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section特設分野
Research Field Mathematical Sciences in Search of New Cooperation
Research InstitutionAsahikawa Medical College

Principal Investigator

Teramoto Takashi  旭川医科大学, 医学部, 准教授 (40382543)

Co-Investigator(Renkei-kenkyūsha) Takiyama Akihiro  北海道文教大学, 人間科学部, 教授 (00374520)
Kamiya Takeshi  琉球大学, 医学部, 講師 (70640647)
Project Period (FY) 2015-07-10 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2015: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Keywords応用数学 / 計算ホモロジー / 計量病理学 / 計算トポロジー / 病理形態学
Outline of Final Research Achievements

From a viewpoint of evidence-based medicine, the systematic way of quantitative measurements have attracted interests in medical imaging processing. Focusing on the topological features of medical images, we present a methodology using computational homology for quantitative measurements in collaboration with diagnostic doctors. Our research consists of two folds: First, we apply computation of cubical homology to a micro-CT dataset of tendon graft model in rabbits to investigate the connectivity of bone trabecular. The Betti numbers are useful in the stereological description for topological feature of sponge like structures. Second, we propose a quantitative evaluation method for immunohistochemical labeling based on persistent homology. Using the pathological image data of invasive ductal carcinoma of the breast, we investigated the correlation between the newly defined persistent homology-derived index and the traditional visual scoring of nuclear grade and Ki-67 labeling index.

Report

(4 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (15 results)

All 2018 2017 2016 2015

All Journal Article (5 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 5 results,  Open Access: 2 results,  Acknowledgement Compliant: 1 results) Presentation (9 results) (of which Int'l Joint Research: 4 results,  Invited: 4 results) Funded Workshop (1 results)

  • [Journal Article] Transformation of block copolymer nanoparticles from ellipsoids with striped lamellae into onion-like spheres and dynamical control via coupled CahnHilliard equations2018

    • Author(s)
      Edgar Avalos, Takashi Teramoto, Hideaki Komiyama, Hiroshi Yabu and Yasumasa Nishiura
    • Journal Title

      ACS Omega

      Volume: 3 (1) Issue: 1 Pages: 1304-1314

    • DOI

      10.1021/acsomega.7b01557

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Persistent homology index as a robust quantitative measure of immunohistochemical scoring2017

    • Author(s)
      Akihiro Takiyama, Takashi Teramoto, Hiroaki Suzuki, Katsushige Yamashiro, Shinya Tanaka
    • Journal Title

      Scientific Reports

      Volume: 7 Issue: 1 Pages: 14002-14002

    • DOI

      10.1038/s41598-017-14392-y

    • NAID

      120006373732

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] 病理形態学における位相幾何学的方法2017

    • Author(s)
      瀧山晃弘
    • Journal Title

      病理と臨床

      Volume: 35 Pages: 55-65

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] Frustrated phases under three-dimensional confinement simulated by a set of coupled Cahn-Hilliard equations2016

    • Author(s)
      E. Avalos, T. Higuchi, T. Teramoto, H. Yabu, Y. Nishiura
    • Journal Title

      Soft Matter

      Volume: 27 Pages: 5905-5914

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] Localized Patterns in a Three-Component FitzHugh-Nagumo Model Revisited Via an Action Functional2016

    • Author(s)
      P. van Heijster, C.-N. Chen, Y. Nishiura, T. Teramoto
    • Journal Title

      Journal of Dynamics and Differential Equations

      Volume: 28

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Presentation] The case studies of using computational homology in medical science2018

    • Author(s)
      寺本敬, 瀧山晃弘
    • Organizer
      日本数学会 2018 年度年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 病理形態学とトポロジー2017

    • Author(s)
      瀧山晃弘, 寺本敬
    • Organizer
      日本応用数理学会 2017 年度年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Applications of persistent homology to immunohistochemistry2017

    • Author(s)
      Takashi Teramoto
    • Organizer
      Applied Algebraic Topology 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Applications of Computational Topology to Medical Science2016

    • Author(s)
      寺本 敬
    • Organizer
      日本応用数理学会 2016 年度年会
    • Place of Presentation
      北九州国際会議場
    • Related Report
      2016 Research-status Report
  • [Presentation] An action functional approach to stationary pulse solutions in a three-component FitzHugh-Nagumo model2016

    • Author(s)
      Takashi Teramoto
    • Organizer
      Joint Australia-Japan workshop on dynamical systems with applications in life sciences
    • Place of Presentation
      Queensland University of Technology
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Slowly moving localized pulse waves in a singularly perturbed two-component bistable system2016

    • Author(s)
      Takashi Teramoto
    • Organizer
      International Conference on Patterns and Waves 2016
    • Place of Presentation
      Hokkaido University
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Dynamics of interfaces in a specific bistable reaction-diffusion system2016

    • Author(s)
      Takashi Teramoto
    • Organizer
      The 4th International Conference Nonlinear Waves - Theory and Applications
    • Place of Presentation
      Tsinghua University
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Numerical approach to complex dynamics of pulse generators in heterogeneous excitable media2016

    • Author(s)
      Takashi Teramoto
    • Organizer
      KSU workshop on reaction-diffusion equations and numerical analysis
    • Place of Presentation
      Kyoto Sangyo University
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] 多成分反応拡散系の粒子解ダイナミクスと解構造探索2015

    • Author(s)
      寺本敬
    • Organizer
      日本数学会北海道支部講演会
    • Place of Presentation
      北海道大学理学部
    • Year and Date
      2015-12-03
    • Related Report
      2015 Research-status Report
    • Invited
  • [Funded Workshop] Joint Australia-Japan workshop on dynamical systems with applications in life sciences2016

    • Place of Presentation
      Queensland University of Technology
    • Year and Date
      2016-07-18
    • Related Report
      2016 Research-status Report

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Published: 2015-07-14   Modified: 2019-03-29  

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