2014 Fiscal Year Final Research Report
Fundamental Research on Probabilistic Risk Analysis for Developing Diseases
| Project/Area Number |
24650147
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Statistical science
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| Research Institution | University of Tsukuba |
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Principal Investigator |
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Keywords | 疾病の発症過程 / イオンチャネルモデル / 疾患モデル化 / 非線形確率過程 / 確率分岐 / パラメータ推定 / 記憶効果 / 疾患マーカー |
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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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| Free Research Field |
確率論的リスク解析，非線形数理工学
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