Mathematical analysis for autonomous systems with self-recovery properties

2016 Fiscal Year Final Research Report

• Project/Area Number: 25400199
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Foundations of mathematics/Applied mathematics
• Research Institution: University of Toyama
• Principal Investigator: Ueda Keiichi 富山大学, 大学院理工学研究部(理学), 准教授 (00378960)
• Project Period (FY): 2013-04-01 – 2017-03-31
• Keywords: 数理モデル / 真正粘菌変形体 / 自律分散システム

Outline of Final Research Achievements

(1) We proposed a mathematical model for cell movement in amoeba. We successfully reproduced the stimulation-induced differentiation of behavioral types, which was observed experimentally. These dynamics may be explained by a saddle structure around a canard solution. Our result imply that the differentiation of behavioral types in amoeba is modified step-by-step via the compounding of stimulation inputs.
(2) We proposed a continuous model for a pathfinding system. The proposed model autonomously finds a path connecting two specified vertices, and the path is represented by a stable solution of the proposed model. The system has a self-recovery property, i.e., the system can find a path when one of the connections in the existing path is suddenly terminated. Further, we demonstrate that the appropriate installation of inhibitory interaction improves the search time.

Free Research Field

非線形現象の数理解析