| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
In this project, we have studied 1D and 2D partial differential equation models with cell structure having ion-channels ① to extract the essential factors for developing diseases (various heart failures, neurological diseases), ② to quantify the features of complex space-time dynamical aspects of them on the basis of probabilistic risk analysis approach, and ③ to construct the fundamental physical and mathematical aspects for developing disease. Intermittent dynamics of phase-singularities and of complex spatio-temporal variations around them exhibit non-Gaussian distributions with long-memory under the influence of multiplicative noise. We have found various new features of dynamics of singularities by numerical simulation of models for heart failures and neural diseases. Also, we have constructed new stochastic methods/models with non-Gaussian and non-Markovian natures under the influence of multiplicative and additive noises for describing the dynamics of phase-singularities.
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