Open Access
Eur. Phys. J. Appl. Phys.
Volume 40, Number 3, December 2007
Page(s) 351 - 356
Section Physics of Biological Systems
Published online 13 December 2007
  1. P. Carmeliet, L. Coultas, K. Chawengsaksophak, T. Tammela, T.V. Petrova, D.A. Greenberg, K. Jin, R.F. Gariano, T.W. Gardner, N. Ferrara, R.S. Kerbel, L. Coultas, Nature 438, 7070 (2005)
  2. E. Tzima, M. Irani-Tehrani, B. Kiosses, E. Dejana, D.A. Schultz, B. Egelhardt, G. Cao, G. Delisser, M.A. Schwartz, Nature 437, 03952 (2005)
  3. S. Lehoux, Y. Castier, A. Tedqui, J. Int. Med. 259, 381 (2006) [CrossRef]
  4. V. Gambillara, G. Montorzi, C. Haziza-Pigeon, N. Stergiopoulos, P. Silacci, J. Vasc. Res. 42, 535 (2005) [CrossRef] [PubMed]
  5. A.L. Romanoff, The avian embryo (Macmilian, New York, 1960)
  7. S.R. Sternberg, IEEE Computer 16, 22 (1983)
  8. M. Durand, Phys. Rev. E 73, 016116 (2006) [CrossRef] [MathSciNet]
  9. We used the Cohn's theorem and Murray's law (all these notions are detailed in the Durand article) to give an energetic weight to the network and then begin to numerically change some parameters to see the cost on energy and very fast new networks are generated that have less energetic constrains. First results stress that the network does not seem to minimize global resistance
  10. S.F. Edwards, K.F. Freed, J. Chem. Phys. 61, 1189 (1974) [CrossRef]
  11. T.B. Liverpool, S.F. Edwards, Phys. Rev. Lett. 75, 3016 (1995) [CrossRef] [PubMed]
  12. S. Ikeda, G. Parker, K. Sawai, J. Fluid. Mech. 112, 363 (1981) [CrossRef]
  13. B.F. Edwards, D.H. Smith, Phys. Rev. E 65, 046303 (2002) [CrossRef]
  14. F. Le Noble, V. Fleury, A. Pries, P. Corvol, A. Eichmann, R.S. Reneman, Cardiovasc. Res. 65, 619 (2005) [CrossRef] [PubMed]
  15. T.H. Nguyen, A. Eichmann, F. Le Noble, V. Fleury, A. Pries, Phys. Rev. E 73, 061907 (2006) [CrossRef] [MathSciNet]
  16. R.S. Millman, G.D. Parker, Elements of Differential Geometry (Prentice-Hall, Englewood Cliffs, NJ, 1977)

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