Angiogenesis Modeling

Sprouting angiogenesis is the process by which new blood vessels grow fromexisting ones. It is an ubiquitous phenomenon in the life of higher organisms, playing a pivotal role in diverse processes from wound healing to morphogenesis, diabetic retinopathy, or even tumor growth. We are developing a phase field model to describe the growth of capillaries in a tissue in hypoxia. The capillary endothelial cells proliferation and migration are directed by the concentration gradient of VEGF. This factor is produced by the oxygen deprived tissue cells. The model also displays the anastomosis of the capillaries. In collaboration with

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Publications

The Mechanics of Blood Vessel Growth, Rui D. M. Travasso, in Vasculogenesis and Angiogenesis – from Embrionic Development to Regenerative Medicine, eds Dan T. Simionescu and Agneta Simionescu, InTech (2011)

Tumor Angiogenesis and Vascular Patterning: A Mathematical Model, Rui D. M. Travasso, Eugenia Corvera Poiré, Mario Castro, Juan Carlos Rodríguez-Manzaneque, A. Hernández-Machado, PLoS ONE 6, e19989 (2011)

Thesis

Novel approach to vascular network modeling in 3D, Margarida Quinas Guerra (2011), supervisor: Rui Travasso

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