Qualitative analysis of systems of differential equations describing the dynamics of infectious disease

2008 Fiscal Year Self-evaluation Report

• Project/Area Number: 18540122
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: Okayama University
• Principal Investigator: SASAKI Toru Okayama University, 大学院・環境学研究科, 准教授 (20260664)
• Project Period (FY): 2006 – 2009
• Keywords: 応用解析 / 数理モデル

Research Abstract

(1) 体内における病原体のダイナミクスを記述する数理モデルの定性的な性質を数学的に解明する。
(2) (1)の研究の基礎として、免疫系のダイナミクスを記述する数理モデルの定性的な性質を調べる。
(3) 社会レベルでの感染症のダイナミクスを記述する数理モデルの定性的な性質を解明する。

Research Products

• [Journal Article] Global dynamics of B cells and anti-idiotipic B cells and its application to autoimmunity (2007)
  • Author(s): Toru Sasaki and Tsuyoshi Kajiwara
  • Journal Title: Japan Journal of Industrial and Applied Mathematics Pages: 24-1
  • Peer Reviewed
• [Journal Article] Dynamical properties of autoimmune disease models : Tolerance, flare-up, dormancy (2007)
  • Author(s): Shingo Iwamia, Yasuhiro Takeuchi, Yoshiharu Miura, Toru Sasaki and Tsuyoshi Kajiwara
  • Journal Title: J. theor. Biol. 246 Pages: 646-659
  • Peer Reviewed
• [Presentation] Mathematical models describing autoimmunity (2007)
  • Author(s): Toru Sasaki
  • Organizer: International Symposium on Dynamical Systems Theory and Its Applications to Biology and Environmental Sciences
  • Place of Presentation: Shizuoka University, Hamamatsu, Japan
  • Year and Date: 2007-03-14
• [Presentation] Global behavior of a B model incorporating autoimmunity (2006)
  • Author(s): Toru Sasaki
  • Organizer: Japanese-Korean Joint Meeting for Mathematical Biology
  • Place of Presentation: 九州大学
  • Year and Date: 2006-09-16
• [Book] 感染症の数理モデル (2008)
  • Author(s): 稲葉寿
  • Total Pages: 125-138
  • Publisher: 培風館
• [Book] 「数」の数理生物学,シリーズ 数理生物学要論(日本数理生物学会) (2008)
  • Total Pages: 92-100
  • Publisher: 共立出版