2011 Fiscal Year Final Research Report
Basic study on immigration super processes and catalytic super diffusions
| Project/Area Number |
20540106
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Saitama University |
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Principal Investigator |
DOKU Isamu 埼玉大学, 教育学部, 教授 (60207686)
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| Project Period (FY) |
2008 – 2011
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| Keywords | 確率論 / 超過程 / 分枝マルコフ性 / 確率モデル / 数理医学 / ガン / 免疫学 / 消滅性 |
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| Research Abstract |
We constructed a mathematical model (say a stochastic process) that is able to describe the status changing its branching mechanism according to whether the circumstance is good or not dependent on the location, and investigated the uniqueness and regularity of the process. On this account, based on the process we proposed a random model for immune response against the cancer cells, by taking cytotoxicity via effectors into consideration. As a result of analysis, we found that the local extinction revealed by the model is of extreme importance on an applicational basis, because the property just corresponds to the situation that effects provided by the effectors expel cancer cells from the tissue.
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