| Budget Amount *help |
¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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)
|
|---|
| Research Abstract |
For understanding of active aggregation of biological populations which are formed in a self-organized way, two different types of models have been proposed in different fields; One is macroscopic models in the field of PDEs and the other is microscopic models in the fields of physics and mathematical biology. However, In order to reveal the mechanism of self-organization arising in aggregation, we need to understand the relation between these two models.
In this proposal, we focus on active aggregation of biological populations which secret aggregating pheromone by themselves. For the formation of aggregation, there are already a chemotaxis-diffusion model (macroscopic model) and independently an individual-based model (microscopic model). For a link of these models, we develop two limiting procedures, that is, a singular limit and a hydrodynamic limit and by complementarily using them, we succeed in revealing the relation between these two models.
|
