Abstract
The aim of this chapter is to describe models recently developed to simulate the formation of vascular networks which mainly occurs through two different processes: vasculogenesis and angiogenesis.
The former consists in the aggregation and organisation of endothelial cells dispersed in a given environment, the latter in the formation of new vessels sprouting from an existing vessel.
The results obtained by the use of the mathematical models are compared with experimental results in vitro and in vivo. The chapter also describes the effects of the environment on network formation and investigates the possibility of governing the network structure through the use of suitably placed chemoattractants and chemorepellents.
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Preziosi, L., Astanin, S. (2006). Modelling the formation of capillaries. In: Quarteroni, A., Formaggia, L., Veneziani, A. (eds) Complex Systems in Biomedicine. Springer, Milano. https://doi.org/10.1007/88-470-0396-2_4
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DOI: https://doi.org/10.1007/88-470-0396-2_4
Publisher Name: Springer, Milano
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