Data di Pubblicazione:
2007
Citazione:
3D simulations of early blood vessel formation / F. Cavalli, A. Gamba, G. Naldi , M. Semplice, D. Valdembri, G. Serini. - In: JOURNAL OF COMPUTATIONAL PHYSICS. - ISSN 0021-9991. - 225:2(2007 Aug), pp. 2283-2300. [10.1016/j.jcp.2007.03.030]
Abstract:
Blood vessel networks form by spontaneous aggregation of individual cells migrating toward vascularization sites vasculogenesis).
A successful theoretical model of two dimensional experimental vasculogenesis has been recently proposed, showing the relevance of percolation concepts and of cell cross-talk (chemotactic autocrine loop) to the understanding of this self-aggregation
process. Here we study the natural 3D extension of the computational model proposed earlier, which is relevant for the investigation of the genuinely threedimensional process of vasculogenesis in vertebrate embryos. The computational model is based on a multidimensional Burgers
equation coupled with a reaction diffusion equation for a chemotactic factor and a mass conservation law. The numerical approximation of the computational model is obtained by
high order relaxed schemes. Space and time discretization are performed by using TVD
schemes and, respectively, IMEX schemes.
Due to the computational costs of realistic simulations, we have implemented the numerical algorithm on a cluster for parallel
computation. Starting from initial conditions mimicking the experimentally observed ones, numerical simulations produce network-like structures qualitatively similar to those observed in the early stages of in vivo vasculogenesis. We develop the computation of critical percolative indices as a robust measure of the network geometry as a first step towards the comparison of computational and experimental data.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Computational biology; IMEX schemes; Percolative analysis; Relaxed schemes; Vasculogenesis simulations
Elenco autori:
F. Cavalli, A. Gamba, G. Naldi, M. Semplice, D. Valdembri, G. Serini
Link alla scheda completa: