Introduction

Principle

Objective and Establishment

Meiji University will establish the Meiji Institute for Advanced Study of Mathematical Sciences (MIMS) was an international research center pursuing mathematical understanding of social and natural phenomena in order to promote and develop mathematical sciences that stress the relationship with society.

Organization

organization
Centerfor Mathematical Modeling and Applications (CMMA) Members of steering committee of CMMA Mathematical education Branch Advanced mathematical sciences Branch Fundamental mathematics Branch Mathematical modeling and analysis Branch Art-and-Science Integration Division Integrated Mathematical Modeling and Life Sciences Division Interdisciplinary Research Project for Mathematical Sciences and Measurement Technologies Collaborative Research Project for Visual Illusion and Mathematical Sciences Interdisciplinary Research Project for Mathematical Sciences and Biology Interdisciplinary Research Project for Mathematics and Society Interdisciplinary Research Project for Mathematical Sciences, Human, and Digital Fabrication Industrialized  Project based on Origami engineering

 


 

FY2018 Collaborative Research Project


Interdisciplinary Research Project for Mathematical Sciences and Measurement Technologies

Goal:

Outline of the Research:

Research Period:

Leader: Kazuyuki Nakamura (Professor, School of Interdisciplinary Mathematical Sciences, Meiji University)




Collaborative Research Project for Psychological and Mathematical Approaches to Visual Illusion

Goal:

 This project offers a platform for the research “Psychological and Mathematical Modeling of Visual System and the Fifth Generation of Impossible Objects” supported by Grant-in-Aid for Basic Scientific Research (A) of MEXT. We study mathematical modeling of human visual systems emphasizing psychological aspects and search for new class of 3D optical illusions.

Outline of the Research:

 We construct a mathematical model of the visual perception of 3D objects reflecting psychological aspects, and create various new classes of impossible objects on the basis of this model. Then, we apply the model in two directions; first we propose methods to minimize the illusion in order to decrease accidents due to misunderstanding of our environments; secondly we offer new tools for entertainment and art by maximizing the illusion. Also, we study basic properties of the vision system through mathematical modeling approaches.

Research Period: Grants-in-Aid for Scientific Research (KAKENHI)(A) (From May 2016 to March 2019)

Leader: Kokichi Sugihara (Professor, Organization for the Strategic Coordination of Research and Intellectual Properties, 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 2018 (which will be the final year of the GDRI)

Leader: Masayasu Mimura (Professor, Musashino University / Special Adviser to the President, Meiji University)


 

Pan-Pacific Collaborative Research Project for Algebraic Structures

Research Period: to March 2019

Leader: Yukio Nakamura (Professor, School of Science and Technology, Meiji University)


 

Interdisciplinary Research Project for Mathematical Sciences, Human, and Digital Fabrication

Goal:

 Creative interaction technologies, which assist each individual to design and fabricate objects he/she really wants, are researched, using mathematical science. Nowadays, we can create objects easily owing to the recent development of digital fabrication techniques, such as 3D printers. However, it is still difficult for us to design them satisfactorily enough. This research project aims at developing technologies to realize the most satisfactory design based on each person’s preference, using interactive methods and machine intelligence with mathematical model of human subjective sense. Moreover, this project renews the conventional mass-production and mass-disposal society to bring us better life by establishing the technologies to easily create what each person really wants and needs by him or herself.

Outline of the Research:

 In order to design an object which is preferred by many people, the design should be estimated by stochastic way concerning people’s liking. However, if we want to design it for a certain person, his/her requirement must be considered in the design. Moreover, his/her satisfaction usually gets influenced by evaluation and suggestion by other people. In this project, how to design objects reflecting each person’s requirement is researched, by introducing interactive methods to mathematical model on human subjective sense for designs. Here, a method to estimate the most satisfactory design by mathematical model and human-computer interaction, on the basis of machine learning such as interactive evolutionary computing, effective computer interfaces which enable users to reflect their intention to the design sufficiently, and a method to actively introduce other persons’ evaluation and suggestion effectively to the design method are researched.

Research Period: till March 2020, the date of middle evaluation of COI project.

Leader: Kaoru Arakawa (Professor, Meiji University, Dept. of Frontier Media Science )


 

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 2019 (when joint-projects end)

Project leader:

 Ichiro Hagiwara (Professor, Organization for the Strategic Coordination of Research and Intellectual Properties, Meiji University)


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