| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Outline of Final Research Achievements |
We propose an environment-dependent model that is able to describe immune responses of effector group against canceer cells. This model is capable of expressing state transition according to the competition between cancer cells and neighboring immune effects. Scaling limit procedure produces a superprocess, and we investigate the limiting process precisely, with the result that (1) survival of normal cells depends greatly on the parameter of the system; (2) tendency toward cancer depends on the dimension of the system, for instance, it proves to be always cancerous in one dimension, and it heavily depends on the probabilistic property of the system in higher dimensions, and either it has tendency toward cancer or it becomes definitely cancerous according to the Markov property of the system.
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