# Models and Applications of Organism Transportation

## Abstract

Organism makes various transportation networks. These many networks have adaptive character, in which the link grows with high-use and degenerates with low-use. In this chapter the mathematical model of adaptive network is introduced. Next, this chapter shows the simulation results by this mathematical model with various parameter. As a result, this chapter shows that how the organism can gain the global function only with the local growth law.

## Keywords

Adaptive network Mathematical model Optimal network Shortest path True slime mold## Notes

### Acknowledgments

I would like to express my gratitude to joint researchers Professor Toshiyuki Nakagaki (Future University Hakodate), Professor Seiji Takagi (Hokkaido University), and Professor Toru Saigusa (Kyushu University) who provided experimental data for this research, as well as Professor Ryo Kobayashi (Hiroshima University) for assisting us with consultation on mathematical models.

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