Plasmodial vein networks of the slime mold Physarum polycephalum form regular graphs

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 82, Issue 4, 2010, Pages

  Baumgarten, Werner ^a   Ueda, Tetsuo ^b   Hauser, Marcus J B ^a  

^a OTTO VON GUERICKE UNIVERSITY   (Germany)

^b HOKKAIDO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EXPONENTIAL DISTRIBUTIONS; FUNCTIONAL DEPENDENCY; PHYSARUM POLYCEPHALUM; REAL-WORLD; REGULAR GRAPHS; SCALE-FREE PROPERTIES; SLIME MOLD; SMALL WORLDS; TRANSPORTATION NETWORK; VEIN SEGMENTS;

BIOLOGY; NORMAL DISTRIBUTION;

GRAPH THEORY;

EID: 78651270074     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.82.046113     Document Type: Article

References (31)

1. R. Diestel, Graphentheorie (Springer, Berlin, 1996).
2. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D.-U. Hwang, Phys. Rep. 424, 175 (2006). 10.1016/j.physrep.2005.10.009 (Pubitemid 43135890)
3. R. Albert and A.-L. Barabási, Rev. Mod. Phys. 74, 47 (2002). 10.1103/RevModPhys.74.47
4. D. J. Watts and S. H. Strogatz, Nature (London) 393, 440 (1998). 10.1038/30918 (Pubitemid 28292183)
5. A. Barrat, M. Barthélemy, R. Pastor-Satorras, and A. Vespignani, Proc. Natl. Acad. Sci. U.S.A. 101, 3747 (2004). 10.1073/pnas.0400087101 (Pubitemid 38381049)
6. R. Guimerà, S. Mossa, A. Turtschi, and L. A. N. Amaral, Proc. Natl. Acad. Sci. U.S.A. 102, 7794 (2005). 10.1073/pnas.0407994102 (Pubitemid 40781017)
7. W. Li and X. Cai, Physica A 382, 693 (2007). 10.1016/j.physa.2007.04.031 (Pubitemid 46936101)
8. A. Doménech, Physica A 388, 4658 (2009). 10.1016/j.physa.2009.07. 036
9. J. R. Less, T. C. Skalak, E. M. Sevick, and R. K. Jain, Cancer Res. 51, 265 (1991).
10. J. Buhl, J. Gautrais, R. V. Solé, P. Kuntz, S. Valverde, J. L. Deneubourg, and G. Theraulaz, Eur. Phys. J. B 42, 123 (2004). 10.1140/epjb/e2004-00364-9
11. J. Buhl, J. Gautrais, J. L. Deneubourg, P. Kuntz, and G. Theraulaz, J. Theor. Biol. 243, 287 (2006). 10.1016/j.jtbi.2006.06.018 (Pubitemid 44754868)
12. A. L. Barabási, H. Jeong, Z. Néda, E. Ravasz, A. Schubert, and T. Vicsek, Physica A 311, 590 (2002). 10.1016/S0378-4371(02)00736-7 (Pubitemid 34782622)
13. G. Fagiolo, J. Reyes, and S. Schiavo, Phys. Rev. E 79, 036115 (2009). 10.1103/PhysRevE.79.036115
14. I. Rodríguez-Iturbe and A. Rinaldo, Fractal River Bassins: Chance and Self-Organization (Cambridge University Press, Cambridge, England, 2001).
15. C. Villani, Topics in Optimal Transportation (American Mathematical Society, Providence, 2003).
16. A. Maritan, F. Colaiori, A. Flammini, M. Ciepak, and J. R. Banavar, Science 272, 984 (1996). 10.1126/science.272.5264.984
17. E. Katifori, G. J. Szöllösi, and M. O. Magnasco, Phys. Rev. Lett. 104, 048704 (2010). 10.1103/PhysRevLett.104.048704
18. F. Corson, Phys. Rev. Lett. 104, 048703 (2010). 10.1103/PhysRevLett.104. 048703
19. C. J. Alexopoulos and C. W. Mims, Introductory Mycology (Wiley and Sons, New York, 1979).
20. N. Kamiya, Protoplasmic Streaming. Protoplasmatlogia (Springer, Vienna, 1959).
21. T. Ueda, in Networks of Interacting Machines, edited by, D. Armbruster, K. Kaneko, and, A. S. Mikhailov, (World Scientific, New Jersey, 2005), p. 221.
22. A. Adamatzky and J. Jones, J. Bionic Eng. 5, 348 (2008). 10.1016/S1672-6529(08)60180-8
23. A. Tero, S. Takagi, T. Saigusa, K. Ito, D. P. Bebber, M. D. Fricker, K. Yumiki, R. Kobayashi, and T. Nakagaki, Science 327, 439 (2010). 10.1126/science.1177894
24. T. Nakagaki, H. Yamada, and Á. Tóth, Nature (London) 407, 470 (2000). 10.1038/35035159
25. T. Nakagaki, H. Yamada, and Á. Tóth, Biophys. Chem. 92, 47 (2001). 10.1016/S0301-4622(01)00179-X (Pubitemid 32799125)
26. T. Nakagaki, R. Kobayashi, Y. Nishiura, and T. Ueda, Proc. R. Soc. London, Ser. B 271, 2305 (2004). 10.1098/rspb.2004.2856
27. T. Nakagaki, M. Iima, T. Ueda, Y. Nishiura, T. Saigusa, A. Tero, R. Kobayashi, and K. Showalter, Phys. Rev. Lett. 99, 068104 (2007). 10.1103/PhysRevLett.99.068104 (Pubitemid 47263132)
28. W. Naib-Majani, M. Osborn, K. Weber, K.-E. Wohlfarth-Bottermann, H. Hinssen, and W. Stockem, J. Cell. Sci. 60, 13 (1983).
29. Y. Kagawa and A. Takamatsu, Phys. Rev. E 79, 046216 (2009). 10.1103/PhysRevE.79.046216
30. T. Akitaya, S. Ohsaka, T. Ueda, and Y. Kobatake, J. Gen. Microbiol. 131, 195 (1985). 10.1099/00221287-131-1-195
31. W. Baumgarten and M. J. B. Hauser, J. Comp. Interdiscip. Sci. 1, 241 (2010).