|
Affiliation |
Faculty of Science Department of Mathematics |
|
Homepage |
|
|
Profile |
非線形解析を通して自然および数学現象の構造解明を目指している． |
|
External Link |
|
Ei Shin-Ichiro
|
|
|
Research Interests 【 display / non-display 】
-
反応拡散系
-
パターン形成
-
パルスの相互作用
-
Large Area Analysis
-
非線形解析
Research Areas 【 display / non-display 】
-
Natural Science / Mathematical analysis / 反応拡散系
-
Natural Science / Applied mathematics and statistics / 非線形解析
From School 【 display / non-display 】
-
Kyoto University Faculty of Science Graduated
1979.04 - 1982.03
Country：Japan
From Graduate School 【 display / non-display 】
-
Hiroshima University Graduate School, Division of Natural Science Doctor's Course Accomplished credits for doctoral program
1982.04 - 1987.09
Country：Japan
Studying abroad experiences 【 display / non-display 】
-
1996.04 - 1997.03 University of British Columbia
External Career 【 display / non-display 】
-
Josai University Professor
2024.04
Country：Japan
-
Hokkaido University Professor Emeritus
2023.04
Country：Japan
-
Hokkaido University Professor
2014.04 - 2023.03
Country：Japan
-
Kyushu University Professor
2011.04 - 2014.03
Country：Japan
-
Kyushu University Professor
2004.03 - 2011.03
Country：Japan
Papers 【 display / non-display 】
-
Bifurcation of co-existing traveling wave solutions in a three-component competition–diffusion system Reviewed
Shin-Ichiro Ei, Hideo Ikeda, Toshiyuki Ogawa
Physica D: Nonlinear Phenomena 448 133703 - 133703 2023.06
Language：English Publishing type：Research paper (scientific journal) Publisher：Elsevier BV
-
Alien invasion into the buffer zone between two competing species Reviewed
Shin-Ichiro Ei, Hideo Ikeda, Toshiyuki Ogawa
Discrete and Continuous Dynamical Systems - B 2023
Language：English Publishing type：Research paper (scientific journal) Publisher：American Institute of Mathematical Sciences (AIMS)
-
Method of fundamental solutions for Neumann problems of the modified Helmholtz equation in disk domains Reviewed
Shin-Ichiro Ei, Hiroyuki Ochiai, Yoshitaro Tanaka
Journal of Computational and Applied Mathematics 402 113795 - 113795 2022.03
Language：English Publishing type：Research paper (scientific journal) Publisher：Elsevier BV
-
Oscillations and bifurcation structure of reaction–diffusion model for cell polarity formation Reviewed
Masataka Kuwamura, HirofumiIzuhara, Shin-ichiro Ei
Journal of Mathematical Biology 84 ( 4 ) 2022.02
Language：English Publishing type：Research paper (scientific journal) Publisher：Springer Science and Business Media LLC
DOI： 10.1007/s00285-022-01723-5
Other Link： https://link.springer.com/article/10.1007/s00285-022-01723-5/fulltext.html
-
Intracellular trafficking of Notch orchestrates temporal dynamics of Notch activity in the fly brain Reviewed
Miaoxing Wang, Xujun Han, Chuyan Liu, Rie Takayama, Tetsuo Yasugi, Shin-Ichiro Ei, Masaharu Nagayama, Yoshitaro Tanaka, Makoto Sato
Nature Communications 12 ( 1 ) 2021.12
Language：English Publishing type：Research paper (scientific journal) Publisher：Springer Science and Business Media LLC
<title>Abstract</title>While Delta non-autonomously activates Notch in neighboring cells, it autonomously inactivates Notch through <italic>cis</italic>-inhibition, the molecular mechanism and biological roles of which remain elusive. The wave of differentiation in the <italic>Drosophila</italic> brain, the ‘proneural wave’, is an excellent model for studying Notch signaling in vivo. Here, we show that strong nonlinearity in <italic>cis</italic>-inhibition reproduces the second peak of Notch activity behind the proneural wave in silico. Based on this, we demonstrate that Delta expression induces a quick degradation of Notch in late endosomes and the formation of the twin peaks of Notch activity in vivo. Indeed, the amount of Notch is upregulated and the twin peaks are fused forming a single peak when the function of Delta or late endosomes is compromised. Additionally, we show that the second Notch peak behind the wavefront controls neurogenesis. Thus, intracellular trafficking of Notch orchestrates the temporal dynamics of Notch activity and the temporal patterning of neurogenesis.
DOI： 10.1038/s41467-021-22442-3
Other Link： http://www.nature.com/articles/s41467-021-22442-3
Books and Other Publications 【 display / non-display 】
-
Nonlinear dynamics in partial differential equations
栄 伸一郎, 川島 秀一, 木村 正人, 水町 徹
Mathematical Society of Japan 2015 （ ISBN:9784864970228 ）
-
A mathematical approach to research problems of science and technology : theoretical basis and developments in mathematical modeling
西井 龍映, 栄 伸一郎, 小磯 深幸, 落合 啓之, 岡田 勘三, 斎藤 新悟, 白井 朋之
Springer 2014 （ ISBN:9784431550594 ）
Misc 【 display / non-display 】
-
Heterogeneity-induced effects for pulse dynamics in FitzHugh–Nagumo-type systems Reviewed
Chao Nien Chen, Shin Ichiro Ei, Shin Ichiro Ei, Shyuh yaur Tzeng
Physica D: Nonlinear Phenomena 2018.01
Language：English
© 2018 Elsevier B.V. Particle like structures have been observed in many fields of science. In a homogeneous medium, a stable, standing pulse is a localized wave that may arise when nonlinear and dissipative effects are in balance. In this paper, we investigate certain phenomena associated with the dynamics of pulse solutions for a FitzHugh–Nagumo reaction–diffusion model. When two pulses are located far from one another initially, their weak interaction drives the subsequent slow dynamics. Our comprehension of the standing pulse profiles allows us to quantitatively characterize their interplay; when the diffusivity of the activator is small compared to that of the inhibitor, the two pulses repel. In addition, using a center-manifold reduction to study the presence of heterogeneities in the environment, we demonstrate that the pulses will move so as to maximize the strength of activation or minimize that of inhibition. The pulse motion will also be influenced by the reaction mechanism.
-
Dynamics of localized solutions for reaction-diffusion systems on two dimensional domain : Spot dynamics on curved surface (Nonlinear Partial Differential Equations, Dynamical Systems and Their Applications)
Ei Shin-Ichiro, Yagisita Hiroki
RIMS Kokyuroku 1881 66 - 70 2014.04
-
Dynamics of Spot Solutions in Two Dimensional Spaces(Invited Lectures in the JSIAM Annual Meeting 2013)
Ei Shin-Ichiro
応用数理 24 ( 1 ) 34 - 36 2014.03
-
Mathematical Analysis for Pattern Formation Problems,A Mathematical Approach to Research Problems of Science and Technology
R. Nishii, S.-I. Ei, M. Koiso, H. Ochiai, K. Okada, S. Saito, T. Shirai, Editors
Mathematics for Industry 5, Springer 2014 133 - 139 2014
解説・総説
Presentations 【 display / non-display 】
-
Effective kernels for pattern formation problems
EI Shin-Ichiro
Turing Symposium on Morphogenesis, 2024 — a Panorama in Turing's Sight — 2024.02
-
On the contraction of pattern formation problem
Shin-Ichiro Ei
Dynamics Days Kagurazaka 2023 2023.12
Event date： 2023.12
-
Interaction of localized patterns in two dimensional spaces
Shin-Ichiro Ei
Multidisciplinary Research on Nonlinear Phenomena: Modeling, Analysis and Applications 2023.11
-
A Billiard Problem in Nonlinear Dissipative Systems
Shin-Ichiro Ei
ICMMA 2023 2023.11
-
dynamics of pulses on a metric graph
Shin-Ichiro Ei
One Day Workshop on Mathematical Analysis in Hakodate 2023.10
Event date： 2023.10
Other research activities 【 display / non-display 】
-
China-Japan Workshop for Young Researchers on Nonlinear Diffusion Equations
2019.10
October 26-28, 2019, Beijing, China
School of Mathematical Sciences, Capital Normal University, Beijing,
China
首都?范大学 数学科学学院,北京,2019,10,26-28
Organizing committee:
Hailiang Li Capital Normal University , China
Yaping Wu Capital Normal University, China
Shin-Ichiro Ei Hokkaido University, Japan
Bendong Lou Shanghai Normal University, China
Local organizing committee:
Hailiang Li、Yaping Wu、Quansen Jiu、Dongjuan Niu、Xuying Zhao
http://www.math.sci.hokudai.ac.jp/~Eichiro/Conference/China-Japan2019/WS.html
Awards 【 display / non-display 】
-
応用数学賞
2022.03 日本数学会
栄 伸一郎
Award type：Award from Japanese society, conference, symposium, etc. Country：Japan