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Introduction / Collaborative Research Project

Principle

Objective and Establishment

Meiji University established Meiji Institute for Advanced Study of Mathematical Sciences (MIMS) in 2007. MIMURA Masayasu is the Founder of MIMS.
The mission of MIMS is to develop mathematical sciences for the purpose of deepening our understanding of a wide variety of phenomena in society and nature. We are also focusing on returning our research results to society and on fostering young researchers through various programs. With these activities, we aim at forming a leading international research center.

MIMS Research divisions:
(1) Fundamental Mathematics Division
(2) Mathematical Modeling and Analysis Division
(3) Mathematical Education Division
(4) Art-and-Science Integration Division
(5) Integrated Division of Mathematical Modeling and Life Sciences
(6) Advanced Mathematical Science Division

Organization FY2023

FY2023 Collaborative Research Project

Interdisciplinary Research Project for Application of Topology to Engineering and Life Science

Purpose of the project:

By performing interdisciplinary research for topology, engineering, and life science, we promote collaborations among researchers in these areas from the point of view of mathematical sciences. Nowadays, topology has been applied for various research fields such as sensor networks and motion planning in engineering and analysis of complex geometric structures of proteins in life science etc. We aim to perform research among these areas beyond the traditional boundary of disciplines. We study fundamental theory which can be shared by researchers of various areas and also collaborate to develop the interface by means of the techniques in computing topology.

Summary of research:

Topology is a branch of mathematics which has been rapidly developed from the middle of the 20th century. We apply contemporary techniques in topology to engineering and life science. Especially, we study topological data analysis such as persistent homology theory in relation with various research areas including material science and life science. Our research will include applications of knot theory to genetic research, graph theory for networks, and application of the theory of configuration spaces to robotics. For the purpose of supporting research of various disciplines, we will develop computer software including the ones for VR and archive such digital information. Our activity will also cover the visualization in geometry and art. We perform research in collaboration with Kyushu University Institute of Mathematics for Industry, The University of Tokyo Virtual Reality Educational Research Center, Art Center the University of Tokyo.

Period of research project: Until March 2026 (the period of the collaborations)

Project leader: Toshitake Kohno (Professor, School of Interdisciplinary Mathematical Sciences, Meiji University)

Interdisciplinary Research Project for Mathematical Sciences and Biology

Goal:

　The international research network on Reaction-diffusion systems in Mathematics and Biomedicine (GDRI ReaDiNet) has been started from 2015 under the cooperation among six research institutions of MIMS and Department of Mathematical Sciences of University of Tokyo (Japan), Paris-Sud University and University of Nice Sofia Antipolis (France), Kaist (Korea), National Center for Theoretical Sciences (Taiwan).

Outline of the Research:

　Through Mathematical Sciences based on modeling and analysis, we focus on understanding of complex system arising in biomedicine and develop theoretical methods on analysis and numerical simulation under international cooperation with other research institutions.

Research Period: to December 2024 (which will be the final year of the GDRI)

Leader: MATANO Hiroshi (Professor, Organization for the Strategic Coordination of Research and Intellectual Properties, Meiji University)

Industrialized Project based on Origami engineering

Objective:

　This project aims to bring the advanced origami geometry, the computational science simulation and the production science together to find the solution for industrialization of origami structure. We conduct joint-researches in terms of the origami geometry and the computational science along with scientists and engineers from production filed. Here we play a role to act as hub of interdisciplinary fields to find common issues and construct fundamentals for the solutions, which makes origami structure industrial.

Outline of the Research:

　The research of origami engineering is entering the third generation where many fruitful results are expected, after the first generation enthusiastic about making origami structures such as light yet stiff and expandable, and the second generation that tried to solve the challenges that are easy with paper but difficult with cardboard, resin and metal, such as to maintain stability after folding and unfolding, and to manufacture origami structure more complicated than general structure at low cost and with proper addition of original functions.

　Moreover, the new origami structures that incorporate Kirigami technology are highlighted as a treasure trove of meta-materials so that there are great expectations for industrial innovation through origami structures. There is a possibility that any complicated structure can be reconstructed in a row by origami structures with Kirigami. This possibility greatly expands the application areas of meta materials so that many studies have been made to realize this possibility. Although these researches ended in failure and were about to give up, but in 2021 this possibility has been realized by MIMS origami engineering group as part of AIMaP activity sponsored by MECSST. This new technology had been introduced in an organized session “Mathematical Methods for Meta-Materials” of which patent is also being promoted, and was organized by MIMS origami group in the 12nd conference of Transdisciplinary of Science and Technology. The following patent number 1) newly has a license agreement with a certain company. Further we are aiming for industrialization of numbers 2) -5).

I. Hagiwara, C. Nara, N. Kasama and A. Sakitani, How to assemble the box, Patent Application Number2019-8367 (Filed on 2019/1/22), Publication Number 2020－11750 (Published on 2020/8/6).
I. Hagiwara, C. Nara, T. Kohara, Container, International application number：PCT/JP2018/037411 (International filing date：2018/10/5), International publication numberW02019/078042 (International release date：2019/4/25).
I. Hagiwara, C. Nara, The folding structure, Patent Application Number 2015-245594 (Filed on 2015/12/16), Publication Number 2017-110315 (Published on 2017/6/22).
I. Hagiwara and Z. Xilu, Manufacturing equipment for crash absorbing structure, Crash absorbing structure and Its manufacturing method, Patent Application Number 2021-215790 (Filed on 2021/8/18).
I. Hagiwara and T. Sasaki, Natural frequencies adjustment program, Natural frequencies adjustment method and Natural frequencies adjustment system, Patent Application Number 2021-215790 (Filed on 2022/2/18).

Project term: to March 2024 (when joint-projects end)

Project leader: NARA Chie (Researcher, Organization for the Strategic Coordination of Research and Intellectual Properties, Meiji University)

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