Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2013: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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Research Abstract |
Mathematical foundation is given for Morse decomposition of dynamical systems from time-series data using topological-computation method. The theory is successfully applied to time-series data from a biological regulatory network model and global circulation data in meteorology. For a biological application, our theory on dynamical time-series analysis for Morse decomposition is combined with the Fiedler-Mochizuki theory on regulatory networks, and is tested for a model of a gene regulatory network of circadian rhythm. Our dynamical time-series analysis for Morse decomposition is also applied to some data on the global circulation in the troposphere and stratosphere, and correctly recovered transition of characteristic pressure patterns which meteorologists empirically observed.
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