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Models and Applications of Organism Transportation

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A Mathematical Approach to Research Problems of Science and Technology

Part of the book series: Mathematics for Industry ((MFI,volume 5))

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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.

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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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Authors and Affiliations

  1. Institute of Mathematics for Industry, Kyushu University, 744, Motooka, Nishiku, Fukuoka, 819-0395, Japan

    Atsushi Tero

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  1. Atsushi Tero
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Correspondence to Atsushi Tero .

Editor information

Editors and Affiliations

  1. Kyushu University, Fukuoka, Japan

    Ryuei Nishii

  2. Department of Mathematics, Hokkaido University, Sapporo, Japan

    Shin-ichiro Ei

  3. Kyushu University Institute of Mathematics for Industry, Fukuoka, Japan

    Miyuki Koiso

  4. Kyushu University Institute of Mathematics for Industry, Fukuoka, Japan

    Hiroyuki Ochiai

  5. Kyushu University Institute of Mathematics for Industry, Fukuoka, Japan

    Kanzo Okada

  6. Faculty of Arts and Science, Kyushu University, Fukuoka, Japan

    Shingo Saito

  7. Kyushu University Institute of Mathematics for Industry, Fukuoka, Japan

    Tomoyuki Shirai

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© 2014 Springer Japan

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Tero, A. (2014). Models and Applications of Organism Transportation. In: Nishii, R., et al. A Mathematical Approach to Research Problems of Science and Technology. Mathematics for Industry, vol 5. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55060-0_11

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  • DOI: https://doi.org/10.1007/978-4-431-55060-0_11

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  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-55059-4

  • Online ISBN: 978-4-431-55060-0

  • eBook Packages: EngineeringEngineering (R0)

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