Pattern formations and control in reaction-diffusion systems

• Project/Area Number: 19540407
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Kyushu University
• Principal Investigator: SAKAGUCHI Hidetsugu Kyushu University, 大学院・総合理工学研究院, 准教授 (90192591)
• Project Period (FY): 2007 – 2009
• Project Status: Completed (Fiscal Year 2009)
• Budget Amount: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000); Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2007: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
• Keywords: 非平衡 / 非線形物理学 / 反応拡散系 / フィードバック制御 / パターン形成 / 細胞分化 / 比率制御 / カスケードモデル / ミセル / 分裂 / スパイラル / カオス / 心室細動 / 除細動 / 半透膜 / 原始細胞 / 揺らぎ / パターン制御 / 不均-反応 / 時空カオス

Research Abstract

Pattern formation is studied in various types of reaction-diffusion systems and Ginzburg-Landau systems, and the pattaren formation is controlled by using various types of external forces and feedback terms. We try to apply the control method of patter formation to various biological systems such as the defibrillation in cardiology and the creation and splitting of protocells.

Research Products

• [Journal Article] Creation and reproduction of model cells with semi-permeable membrane (2009)
  • Author(s): H. Sakaguchi
  • Journal Title: J. of Physical Society of Japan Vol.78 Pages: 14801-14801
• [Journal Article] Chevron patterns and defect lattices in an anisotropic model for electroconvection (2009)
  • Author(s): H. Sakaguchi, A. Matsuda
  • Journal Title: Physica D Vol.238 Pages: 1-8
• [Journal Article] Ratio control in a cascade model of cell differentiation (2009)
  • Author(s): H. Sakaguchi
  • Journal Title: Physical Review E Vol.79 Pages: 51916-51916
• [Journal Article] Splitting intstability of cellular structures in the Ginzburg-Landau model under feedback control (2009)
  • Author(s): H. Sakaguchi
  • Journal Title: Physical Review E Vol.80 Pages: 17202-17202
• [Journal Article] Chevron patterns and defect lattices in an anisotropic model for electro convection (2009)
  • Author(s): H.Sakaguchi, A.Matsuda
  • Journal Title: Physica D 238 Pages: 1-8
  • Peer Reviewed
• [Journal Article] Ratio control in a cascade model of cell differentiation (2009)
  • Author(s): H.Sakaguchi
  • Journal Title: Physical Review E 79 Pages: 51916-51916
  • Peer Reviewed
• [Journal Article] Splitting instability of cellular structures in the Ginzburg-Landau model under feedback control (2009)
  • Author(s): H.Sakaguchi
  • Journal Title: Physical Review E 80 Pages: 17202-17202
  • Peer Reviewed
• [Journal Article] Creation and reproduction of model cells with semipermeable membrane (2009)
  • Author(s): H. Sakaguchi
  • Journal Title: Journal of the Physical Society of Japan 78 Pages: 14801-14801
  • NAID: 110007042096
  • Peer Reviewed
• [Journal Article] Chaotic pulse transmission and spiral formation in a calcium oscillation model (2008)
  • Author(s): H. Sakaguchi, P. Woafo
  • Journal Title: Physical Review E Vol.77 Pages: 42902-42902
• [Journal Article] Elimination of pulses and spirals by external forces in Luo-Rudy model (2008)
  • Author(s): H. Sakaguchi, T. Maruyama
  • Journal Title: J. of the Physical Society of Japan Vol.77 Pages: 84801-84801
  • NAID: 110006914847
• [Journal Article] Chaotic pulse transmission and spiral formation in a calcium oscillation model (2008)
  • Author(s): H. Sakaguchi, P. Woafo
  • Journal Title: Physical Review E 77 Pages: 42902-42902
  • Peer Reviewed
• [Journal Article] Elimination of pulses and spirals by external forces in Luo-Rudy model (2008)
  • Author(s): H. Sakaguchi, T. Maruyama
  • Journal Title: Journal of the Physical Society of Japan 77 Pages: 84801-84801
  • NAID: 110006914847
  • Peer Reviewed
• [Journal Article] Charging dynamics of the electric double layer in porous media (2007)
  • Author(s): H. Sakaguchi, R. Baba
  • Journal Title: Physical Review E Vol.76 Pages: 11501-11501
• [Journal Article] Global structure in spatio-temporal chaos of the Matthews-Cox equation (2007)
  • Author(s): H. Sakaguchi, D. Tanaka
  • Journal Title: Physical Review E Vol.76 Pages: 25201-25201
• [Journal Article] Soliton turbulence in the complex Ginzburg-Landau equation (2007)
  • Author(s): H. Sakaguchi
  • Journal Title: Physical Review E Vol.76 Pages: 107205-107205
• [Journal Article] Charging dynamics of the electric double layer in porous media (2007)
  • Author(s): H. Sakaguchi, R. Baba
  • Journal Title: Physical Review E 76
  • Peer Reviewed
• [Journal Article] Global structure in spatio-temporal chaos of the Matthews-Cox equation (2007)
  • Author(s): H. Sakaguchi, and, D. Tanaka
  • Journal Title: Physical Review E 76
  • Peer Reviewed
• [Journal Article] Soliton turbulence in the complex Ginzburg-Landau equation (2007)
  • Author(s): H. Sakaguchi
  • Journal Title: Physical Review E 76
  • Peer Reviewed
• [Presentation] 1次元周期ポテンシャル中の協力的ジャンプ運動 (2010)
  • Author(s): 坂口英継
  • Organizer: 日本物理学会
  • Place of Presentation: 岡山
• [Presentation] 細胞分化のカスケードモデルと比率制御 (2009)
  • Author(s): 坂口英継
  • Organizer: 日本物理学会
  • Place of Presentation: 熊本
• [Presentation] 細胞分化のカスケードモデルと比率制御 (2009)
  • Author(s): 坂口英継
  • Organizer: 日本物理学会
  • Place of Presentation: 熊本大学
• [Presentation] フィードバッグ制御法によるソリトン型や渦型解の数値計算 (2008)
  • Author(s): 坂口英継
  • Organizer: 日本物理学会
  • Place of Presentation: 盛岡
  • Year and Date: 2008-09-21
• [Presentation] フィードバック制御法によるソリトン型や渦型解の数値計算 (2008)
  • Author(s): 坂口英継
  • Organizer: 日本物理学会
  • Place of Presentation: 盛岡
• [Presentation] 樹枝状結晶の横枝競合成長の数理モデル (2007)
  • Author(s): 坂口 英継
  • Organizer: 日本物理学会
  • Place of Presentation: 北海道大学
  • Year and Date: 2007-09-23
• [Presentation] 樹枝状結晶の横枝競合成長の数理モデル (2007)
  • Author(s): 坂口英継
  • Organizer: 日本物理学会
  • Place of Presentation: 札幌