| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2018: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2017: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
Two-component system of the bulk diffusion equations are considered under the non-linear Robin type boundary conditions. The coupling between the two components are realized trough the nonlinear interaction on the boundary. Uniform steady states (representing non-polarized states) destabilized as the difference of diffusion rates of the two species increases, and give rise to the emergence of non-uniform stable states. Namely, the generation of Turing pattern has been proven mathematically rigorous manner. All of the three characteristics of polarization such as (i)spontaneity, (ii) stability, (iii) response to the external stimuli have been proven mathematically present in the model equation.
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