Advanced Mathematical Sciences Ｄ

In the 1950s, new research fields such as molecular biology and molecular genetics have acted as huge breakthrough for the elucidation of life and organisms, including the clarification of mechanism of genes by James D. Watson and Francis Crick. Prior to this era, in 1952, Alan Turing, an English mathematician, proposed a bold hypothesis that cellular differentiation and morphogenesis which are major events of organisms might be caused by abiotic mechanism involved in such as physics and chemistry. His idea was obviously denied by the biologists’ society at the time. However, it has gradually been proven and today it is indicated to appear not only in biological system but in many systems arise in the fields of natural and social science. This series of lectures explains how Alan Turing has led to this idea and in what fields it can be seen.

Focusing on the pattern formation, the idea of Alan Turing and its theoretical support and applications will be lectured from the perspective of elucidation of phenomena. Classes will be provided in omnibus form by the lecturers active in a variety of research fields from home and abroad. Lectures will be held from the interdisciplinary point of view. English will be used in the classes and, in principle, in the reports to be written for grading.

Advanced Mathematical Sciences D:
Project Based Analysis and Research Cluster,
Inter Departmental Curriculum, Meiji University
Coordinator: Shigeru KONDO (Osaka University), Masayasu MIMURA (Professor, Graduate School of Advanced Mathematical Sciences, Meiji University)

Date: 4th －7th December 2012

Schedule/Speaker/Title:

Tuesday, 4th December 2012
10:30-12:00　Hans MEINHARDT (Max Planck Institute for Developmental Biology, Germany)
　　　　　　　　　　“Models of biological pattern formation I”
13:00-14:30　Kouichi ASAKURA (Keio University)
　　　　　　　　　　“Turing pattern formation by CIMA reaction in a far-from-equilibrium chemical system (1)”
14:40-16:10　Kouichi ASAKURA (Keio University)
　　　　　　　　　　“Turing pattern formation by CIMA reaction in a far-from-equilibrium chemical system (2)”
16:20-17:50　Shu-ichi KINOSHITA (Meiji University), Masayasu MIMURA (Meiji University)
　　　　　　　　　　“Spiral formation in heterogeneous discretized excitable media”

Wednesday, 5th December 2012
10:30-12:00　Hans MEINHARDT (Max Planck Institute for Developmental Biology, Germany)
　　　　　　　　　　“Models of biological pattern formation II”
13:00-14:30　Toshiyuki OGAWA (Meiji University)
　　　　　　　　　　“Pattern formation by global feedback: stationary and oscillatory instabilities (1)”
14:40-16:10　Toshiyuki OGAWA (Meiji University)
　　　　　　　　　　“Pattern formation by global feedback: stationary and oscillatory instabilities (2)”
16:20-17:50　Hirofumi IZUHARA (Meiji University) , Masayasu MIMURA (Meiji University)
　　　　　　　　　　“Pattern formation -Approach from numerical bifurcation analysis-“

Thursday, 6th December 2012
10:30-12:00　Hans MEINHARDT (Max Planck Institute for Developmental Biology, Germany)
　　　　　　　　　　“Models of biological pattern formation III”
13:00-14:30　Izumi TAKAGI (Tohoku University)
　　　　　　　　　　“A versatile pattern generator---from a mathematical point of view (1)”
14:40-16:10　Izumi TAKAGI (Tohoku University)
　　　　　　　　　　“A versatile pattern generator---from a mathematical point of view (2)”
16:20-17:50　Kenta ODAGIRI (Meiji University) , Masayasu MIMURA (Meiji University)
　　　　　　　　　　“Pattern formation in non-equilibrium soft matter systems“

Friday, 7th December 2012
10:30-12:00　Hans MEINHARDT (Max Planck Institute for Developmental Biology, Germany)
　　　　　　　　　　“Models of biological pattern formation IV”
13:00-14:30　Takashi MIURA (Kyoto University)
　　　　　　　　　　“Turing instability in Developmental Biology (1)”
14:40-16:10　Takashi MIURA (Kyoto University)
　　　　　　　　　　“Turing instability in Developmental Biology (2)”
16:20-17:50　Akiko NAKAMASU (Meiji University), Masayasu MIMURA (Meiji University)
　　　　　　　　　　“Turing patterns on growing organisms: From pigment patterns to branched leaves”
 

　4th December: Classroom A416 & A417
　5th－7th December: Classroom A401 & A402
　4th floor of University Building 2 Annex A,
　Ikuta Campus, Meiji University
　Please click here for the access map.
　Please click here for the place map

This subject is intended for doctoral students. However, any students in master program are welcome, as well as non-degree students and auditors from Meiji University and other universities.
※ No auditor’s fee and no preliminary application required.


Supported by
Meiji University Global COE Program "Formation and Development of Mathematical Sciences Based on Modeling and Analysis"
Meiji Institute for Advanced Study of Mathematical Sciences (MIMS)

Contact address:
Graduate School Office, Meiji University
1-1 Kanda-Surugadai, Chiyoda-ku, Tokyo 101-8301
TEL: 03-3296-4368
Email: dai_in@mics.meiji.ac.jp