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2017 Fiscal Year Final Research Report

Applications of Computational Topology to immunohistochemistory

Research Project

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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
Keywords応用数学 / 計算ホモロジー / 計量病理学
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.

Free Research Field

応用数学

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Published: 2019-03-29  

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