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Percolation and Burgers' dynamics in a model of capillary formation.

Publication ,  Journal Article
Coniglio, A; de Candia, A; Di Talia, S; Gamba, A
Published in: Phys Rev E Stat Nonlin Soft Matter Phys
May 2004

Capillary networks are essential in vertebrates to supply tissues with nutrients. Experiments of in vitro capillary formation show that cells randomly spread on a gel matrix autonomously organize to form vascular networks. Cells form disconnected networks at low densities and connected ones above a critical density. Above the critical density the network is characterized by a typical mesh size approximately 200 microm, which is approximately constant on a wide range of density values. In this paper we present a full characterization of a recently proposed model which reproduces the main features of the biological system, focusing on its dynamical properties, on the fractal properties of patterns, and on the percolative phase transition. We discuss the relevance of the model in relation with some experiments in living beings and proposed diagnostic methods based on the measurement of the fractal dimension of vascular networks.

Duke Scholars

Published In

Phys Rev E Stat Nonlin Soft Matter Phys

DOI

ISSN

1539-3755

Publication Date

May 2004

Volume

69

Issue

5 Pt 1

Start / End Page

051910

Location

United States

Related Subject Headings

  • Models, Statistical
  • Models, Biological
  • Humans
  • Fluids & Plasmas
  • Endothelium, Vascular
  • Cluster Analysis
  • Capillaries
  • Animals
  • 09 Engineering
  • 02 Physical Sciences
 

Citation

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ICMJE
MLA
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Coniglio, A., de Candia, A., Di Talia, S., & Gamba, A. (2004). Percolation and Burgers' dynamics in a model of capillary formation. Phys Rev E Stat Nonlin Soft Matter Phys, 69(5 Pt 1), 051910. https://doi.org/10.1103/PhysRevE.69.051910
Coniglio, A., A. de Candia, S. Di Talia, and A. Gamba. “Percolation and Burgers' dynamics in a model of capillary formation.Phys Rev E Stat Nonlin Soft Matter Phys 69, no. 5 Pt 1 (May 2004): 051910. https://doi.org/10.1103/PhysRevE.69.051910.
Coniglio A, de Candia A, Di Talia S, Gamba A. Percolation and Burgers' dynamics in a model of capillary formation. Phys Rev E Stat Nonlin Soft Matter Phys. 2004 May;69(5 Pt 1):051910.
Coniglio, A., et al. “Percolation and Burgers' dynamics in a model of capillary formation.Phys Rev E Stat Nonlin Soft Matter Phys, vol. 69, no. 5 Pt 1, May 2004, p. 051910. Pubmed, doi:10.1103/PhysRevE.69.051910.
Coniglio A, de Candia A, Di Talia S, Gamba A. Percolation and Burgers' dynamics in a model of capillary formation. Phys Rev E Stat Nonlin Soft Matter Phys. 2004 May;69(5 Pt 1):051910.

Published In

Phys Rev E Stat Nonlin Soft Matter Phys

DOI

ISSN

1539-3755

Publication Date

May 2004

Volume

69

Issue

5 Pt 1

Start / End Page

051910

Location

United States

Related Subject Headings

  • Models, Statistical
  • Models, Biological
  • Humans
  • Fluids & Plasmas
  • Endothelium, Vascular
  • Cluster Analysis
  • Capillaries
  • Animals
  • 09 Engineering
  • 02 Physical Sciences