Cell directional and chemotaxis in vascular morphogenesis

D. Ambrosi, A. Gamba, G. Serini

Research output: Contribution to journalArticle

42 Citations (Scopus)

Abstract

In vertebrates, supply of oxygen and nutrients to tissues is carried out by the blood vascular system through capillary networks. Capillary patterns are closely mimicked by endothelial cells cultured on Matrigel, a preparation of basement membrane proteins. On the Matrigel surface, single randomly dispersed endothelial cells self-organize into vascular networks. The network is characterized by a typical length scale, which is independent of the initial mean density of deposed cells n̄ over a wide range of values of n̄. We give here a detailed description of a mathematical model of the process which is able to reproduce several qualitative and quantitative features of in vitro vascularization experiments. Cell matter is basically modelled as an elastic fluid subjected to a specific force field depending on the concentration of a chemoattractant factor. Starting from sparse initial data, mimicking the initial conditions realized in laboratory experiments, numerical solutions reproduce characteristic network structures, similar to observed ones, whose average size is theoretically related to the finite range of chemoattractant diffusion. A possible area of application of the model is the design of properly vascularized artificial tissues.

Original languageEnglish
Pages (from-to)1851-1873
Number of pages23
JournalBulletin of Mathematical Biology
Volume66
Issue number6
DOIs
Publication statusPublished - Nov 2004

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chemotaxis
Morphogenesis
chemoattractants
Chemotaxis
Chemotactic Factors
morphogenesis
Endothelial cells
blood vessels
endothelial cells
Blood Vessels
Endothelial Cells
Tissue
Cell
basement membrane
Basement Membrane
membrane proteins
Nutrients
Vertebrates
Membrane Proteins
Membrane Protein

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)

Cite this

Cell directional and chemotaxis in vascular morphogenesis. / Ambrosi, D.; Gamba, A.; Serini, G.

In: Bulletin of Mathematical Biology, Vol. 66, No. 6, 11.2004, p. 1851-1873.

Research output: Contribution to journalArticle

Ambrosi, D. ; Gamba, A. ; Serini, G. / Cell directional and chemotaxis in vascular morphogenesis. In: Bulletin of Mathematical Biology. 2004 ; Vol. 66, No. 6. pp. 1851-1873.
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