| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
I proved that the discrete KdV equation (the bilinear form, the nonlinear form) and the discrete Toda equations (semi-infinite boundary conditions, molecular boundary conditions, periodic boundary conditions) have the Laurent property, the irreducibility and co-primeness.
The other hand, from recent time-lapse imaging experiments on the dynamics of endothelial cells (ECs) in angiogenesis, I proposed a mathematical model of ECs by methods of a discrete system and a ultra-discrete discrete system. Furthermore, I proposed a continuous model and an extended model incorporating the influence of vascular endothelial growth factor (VEGF).
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