Modelling of 3D early blood vessel formation: Simulations and morphological analysis

Fausto Cavalli, A. Gamba, G. Naldi, S. Oriboni, M. Semplice, D. Valdembri, G. Serini

Risultato della ricerca: Contributo in libroContributo a convegno

1 Citazioni (Scopus)

Abstract

Vascular networks form by a self-aggregation process of individual endothelial cells that differentiate at seemingly random sites in the embryo and collectively migrate toward each other forming a preliminary vascular plexus (vasculogenesis), followed by functional remodelling that gives rise to the final hierarchical system (angiogenesis). The study of this phenomenon is performed by biologists using in vitro and in vivo assays, both in two and three dimensional settings. The lack of direct biological evidence of the chemotactic autocrine loop that is thought to be the main responsible for the early aggregation, called for the development of mathematical models of this process, in order to study the possible effects of such a loop. After successful two-dimensional studies, the model was recently extended to a three dimensional setting and a suitably efficient approximation scheme for the numerical simulations has been developed, while three-dimensional images of embryo vascular networks are becoming available through confocal microscopy. This paper is concerned with the comparison of experimental and simulated data on embryo vascular plexi. Critical exponents of percolation, Euler-Poincaré characteristic, fractal dimension, power spectrum decay and maximum distance from a vessel are considered and compared.
Lingua originaleEnglish
Titolo della pubblicazione ospiteCOLLECTIVE DYNAMICS: TOPICS ON COMPETITION AND COOPERATION IN THE BIOSCIENCES
Pagine311-327
Numero di pagine17
Stato di pubblicazionePubblicato - 2008
EventoBIOCOMP2007 - Vietri sul mare
Durata: 24 nov 200729 nov 2007

Serie di pubblicazioni

NomeAIP CONFERENCE PROCEEDINGS

Convegno

ConvegnoBIOCOMP2007
CittàVietri sul mare
Periodo24/11/0729/11/07

Keywords

  • Chemotaxis
  • Numerical simidations
  • Pattern formation
  • Scaling laws
  • Structures and organization in complex systems

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