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A mathematical model for adaptive transport network in path finding by true slime mold
| Title: | A mathematical model for adaptive transport network in path finding by true slime mold |
| Authors: | Tero, Atsushi Browse this author | | Kobayashi, Ryo Browse this author | | Nakagaki, Toshiyuki Browse this author |
| Keywords: | Physarum polycephalum | | Mathematical modeling | | Natural adaptive networks |
| Issue Date: | 21-Feb-2007 |
| Publisher: | Elsevier |
| Journal Title: | Journal of Theoretical Biology |
| Volume: | 244 |
| Issue: | 4 |
| Start Page: | 553 |
| End Page: | 564 |
| Publisher DOI: | 10.1016/j.jtbi.2006.07.015 |
| PMID: | 17069858 |
| Abstract: | We describe here a mathematical model of the adaptive dynamics of a transport network of the true slime mold Physarum polycephalum, an amoeboid organism that exhibits path-finding behavior in a maze. This organism possesses a network of tubular elements, by means of which nutrients and signals circulate through the plasmodium. When the organism is put in a maze, the network changes its shape to connect two exits by the shortest path. This process of path-finding is attributed to an underlying physiological mechanism: a tube thickens as the flux through it increases. The experimental evidence for this is, however, only qualitative. We constructed a mathematical model of the general form of the tube dynamics. Our model contains a key parameter corresponding to the extent of the feedback regulation between the thickness of a tube and the flux through it. We demonstrate the dependence of the behavior of the model on this parameter. |
| Relation: | http://www.sciencedirect.com/science/journal/00225193 |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/28041 |
| Appears in Collections: | 電子科学研究所 (Research Institute for Electronic Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 中垣 俊之
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