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In vitro Vasculogenesis Models Revisited - Measurement of VEGF Diffusion in Matrigel

T. Miura, R. Tanaka (2009)

Mathematical Modelling of Natural Phenomena

The circulatory system is one of the first to function during development. The earliest event in the system's development is vasculogenesis, whereby vascular progeniter cells form clusters called blood islands, which later fuse to form capillary networks. There exists a very good in vitro system that mimics this process. When HUVECs (Human Umbilical Vein Endothelial Cells) are cultured on Matrigel, they spontaneously form a capillary network structure. Two theoretical models have been proposed...

Investigation of the Migration/Proliferation Dichotomy and its Impact on Avascular Glioma Invasion

K. Böttger, H. Hatzikirou, A. Chauviere, A. Deutsch (2012)

Mathematical Modelling of Natural Phenomena

Gliomas are highly invasive brain tumors that exhibit high and spatially heterogeneous cell proliferation and motility rates. The interplay of proliferation and migration dynamics plays an important role in the invasion of these malignant tumors. We analyze the regulation of proliferation and migration processes with a lattice-gas cellular automaton (LGCA). We study and characterize the influence of the migration/proliferation dichotomy (also known...

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