Introduction

Principle

Objective and Establishment

Meiji University establish the Meiji Institute for Advanced Study of Mathematical Sciences (MIMS) on 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 FY2021

organization
Centerfor Mathematical Modeling and Applications (CMMA) Members of steering committee of CMMA Fundamental Mathematics Division Mathematical Modeling and Analysis Division Mathematical Education Division Art-and-Science Integration Division Integrated Division of Mathematical Modeling and Life Sciences Advanced Mathematical Science Division Interdisciplinary Research Project for Application of Topology to Engineering and Life Science Interdisciplinary Research Project for Mathematical Sciences and Biology Industrialized  Project based on Origami engineering


FY2021 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 2023 (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, by that makes origami structure industrial.

Outline of the Research:

 Despite the origami engineering based on Japanese traditional art "origami" had been widely expected to be industrialized, it has not yet fully used in the industry except the space industry where expensive production costs are allowed.

 This is mainly due to the fact that a production with paper can be done smoothly but with cardboard, plastic or metal:

  1. it is difficult to maintain the stability after its shrinkage.
  2. it is not stable after its deployment.
  3. it is difficult to manufacture a product by origami structure which has more complex structure than ordinary manufacturing method and still needs to have appropriate functions of the product at low cost.

 IMS Origami engineering group have conducted technology development to tackle these problems, and achieved to have the following patent applications;

  • On the above subject 1., Ichiro HAGIWARA, Chie NARA, Toru FURUHARA, The container、Patent Application Number2017-201993(Filed on 2017/10/18)
  • On the above subject 2., Ichiro HAGIWARA, Chie NARA、The folding structure、Patent Application Number 2015-245594(Filed on 2015/12/16)、Publication Number 2017-110315(Published on 2017/6/22)
  • On the above subject 3.,  Ichiro HAGIWARA, ZHAO Xilu, Shock absorbing structure and its manufacturing method、Patent Application Number 2017-089216(Filed on 2017/4/28)

 Based on these patents, his team carries on joint-researches with domestic/international scientists and the related companies. To be more precise, the group conducts the research collaborations with companies:

  • how to fold a beverage container after drinking up (on the above subject 1).
  • how to fold up cardboard boxes(on the above subject 2).
  • how to make a falling rock protection fence which absorbs energy with origami structure (on the above subject 3)

Project term:to March 2023 (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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明治大学