Investigation of propagation mechanism of reaction-diffusion wave in heterogeneous media in vivo

• Project/Area Number: 15KT0104
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 特設分野
• Research Field: Mathematical Sciences in Search of New Cooperation
• Research Institution: Kanazawa University
• Principal Investigator: Ken-Ichi Nakamura 金沢大学, 数物科学系, 准教授 (40293120)
• Co-Investigator(Kenkyū-buntansha): 佐藤 純 金沢大学, 新学術創成研究機構, 教授 (30345235) ; 長山 雅晴 北海道大学, 電子科学研究所, 教授 (20314289)
• Project Period (FY): 2015-07-10 – 2018-03-31
• Project Status: Completed (Fiscal Year 2017)
• Budget Amount: ¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000); Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2015: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
• Keywords: 反応拡散系 / 進行波 / 分化の波 / 側方抑制

Outline of Final Research Achievements

In collaboration with mathematicians and experimental biologists, we construct a robust mathematical model of propagation of the wave of differentiation (or proneural wave) in the Drosophila visual center by combining reaction-diffusion and lateral inhibition. Numerical simulations of our model are consistent with experimental results and genetic analysis.

Research Products

• [Int'l Joint Research] Tamkang University/National Chung Hsing University(Taiwan)
• [Journal Article] nter-progenitor pool wiring: An evolutionarily conserved strategy that expands neural circuit diversity. (2017)
  • Author(s): Makoto Sato, Takumi Suzuki
  • Journal Title: Developmental Biology Volume: 431 Issue: 2 Pages: 101-110
  • DOI: 10.1016/j.ydbio.2017.09.029
  • Peer Reviewed
• [Journal Article] Notch-mediated lateral inhibition regulates proneural wave propagation when combined with EGF-mediated reaction diffusion (2016)
  • Author(s): M. Sato, T. Yasugi, Y. Minami, T. Miura and M. Nagayama
  • Journal Title: PNAS Volume: 113 Issue: 35 Pages: 5153-5162
  • DOI: 10.1073/pnas.1602739113
  • Peer Reviewed / Open Access
• [Journal Article] Mathematical model for self-propelled droplets driven by interfacial tension (2016)
  • Author(s): Ken H. Nagai, Kunihito Tachibana, Yuta Tobe, Masaki Kazama, Hiroyuki Kitahata, Seiro Omata, Masaharu
  • Journal Title: Journal of Chemical Physics Volume: 144 Issue: 11 Pages: 114707-114707
  • DOI: 10.1063/1.4943582
  • NAID: 120005981396
  • Peer Reviewed
• [Journal Article] Formation of Neuronal Circuits by Interactions between Neuronal Populations Derived from Different Origins in the Drosophila Visual Center (2016)
  • Author(s): Suzuki, T., Hasegawa, E., Nakai, Y., Kaido, M., Takayama, R. and Sato, M.
  • Journal Title: Cell Reports Volume: 15 Issue: 3 Pages: 499-509
  • DOI: 10.1016/j.celrep.2016.03.056
  • Peer Reviewed / Open Access
• [Presentation] Asymptotic stability of monotone traveling waves for bistable lattice dynamical systems (2017)
  • Author(s): Ken-Ichi Nakamura
  • Organizer: International Conference on Nonlinear Analysis and its Applications
  • Int'l Joint Research / Invited
• [Presentation] Reaction diffusion, lateral inhibition and noise canceling orchestrate the wave of neural differentiation in the fly brain (2017)
  • Author(s): Sato, M.
  • Organizer: 50th Japanese Society of Developmental Biologists
• [Presentation] Boundary formation by Netrin and Slit in the fly brain (2017)
  • Author(s): Sato, M.
  • Organizer: The 40th Annual Meeting of the Japan Neuroscience Society
• [Presentation] Mathematical modeling and genetic analysis of the fly visual system (2017)
  • Author(s): Sato, M.
  • Organizer: MIMS Workshop on Modeling and Numerical Analysis of Nonlinear Phenomena: Fluid Dynamics, Motion of Interfaces, and Cell Biology
• [Presentation] Mathematical analysis of the collective motion of camphor disks (2016)
  • Author(s): Nagayama, M.
  • Organizer: International Workshop: Mathematics of Pattern Formation
  • Place of Presentation: Mathematical Research and Conference Center, Bedlewo (Poland)
  • Year and Date: 2016-09-11
  • Int'l Joint Research / Invited
• [Presentation] Mathematical modeling and genetic analysis of the proneural wave in the fly visual center (2016)
  • Author(s): Sato, M., Yasugi, T., Minami, Y., Miura, T. and Nagayama, M.
  • Organizer: Gordon Research Conference, Visual System Development
  • Place of Presentation: Mount Snow in West Dover, USA
  • Year and Date: 2016-08-11
  • Int'l Joint Research
• [Presentation] Stability of traveling waves for bistable lattice dynamical systems (2016)
  • Author(s): Nakamura, K.-I.
  • Organizer: International Conference on Patterns and Waves 2016
  • Place of Presentation: Hokkaido University, Sapporo(Japan)
  • Year and Date: 2016-08-02
  • Invited
• [Presentation] Stability of traveling waves for some bistable lattice dynamical system (2016)
  • Author(s): Ken-Ichi Nakamura
  • Organizer: The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications
  • Place of Presentation: Orlando, Florida, USA
  • Year and Date: 2016-07-01
  • Int'l Joint Research / Invited
• [Presentation] The collective motion of camphor papers in an annular water channel (2016)
  • Author(s): Nagayama, M.
  • Organizer: International Workshop in Industrial Mathematics
  • Place of Presentation: University of Campinas, Sao Paulo(Brazil)
  • Year and Date: 2016-05-05
  • Int'l Joint Research / Invited
• [Presentation] Proneural waveの数理モデリング (2015)
  • Author(s): 南佳晃，佐藤純，三浦岳，長山雅晴
  • Organizer: 応用数学合同研究集会
  • Place of Presentation: 龍谷大学
  • Year and Date: 2015-12-18
• [Presentation] Mathematical modeling and genetic analysis of the wave of differentiation in the Drosophila visual center (2015)
  • Author(s): Sato, M., Miura, T. and Nagayama, M.
  • Organizer: The International Congress on Industrial and Applied Mathematics 2015
  • Place of Presentation: Beijing, China
  • Year and Date: 2015-08-14
  • Int'l Joint Research / Invited