Math. Model. Nat. Phenom.
Volume 4, Number 4, 2009Morphogenesis
|Page(s)||118 - 130|
|Published online||11 July 2009|
In vitro Vasculogenesis Models Revisited - Measurement of VEGF Diffusion in Matrigel
Department of Anatomy and Developmental Biology, Kyoto University
Graduate School of Medicine
2 JST CREST & PRESTO
3 Department of Mathematics, Kyoto University Faculy of Science
Corresponding author: email@example.com
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 to explain the pattern formation of this in vitro system. Both models utilize chemotaxis to generate spatial instability, and one model specifies VEGF as the chemoattractant. However, there are several unknown factors concerning the experimental model. First, the pattern formation process occurs at the interface between the liquid medium and Matrigel, and it is unclear whether diffusion in the liquid or gel is critical. Second, the diffusion coefficient of VEGF, which determines the spatial scale of the capillary structure, has not been properly measured. In the present study, we modified the experimental system to clarify the effect of diffusion in Matrigel, and experimentally measured the diffusion coefficient of VEGF in this system. The relationship with the spatial scale of the pattern generated is discussed.
Mathematics Subject Classification: 92B05
Key words: pattern formation / HUVEC / vascular endothelial growth factor (VEGF) / diffusion / Matrigel
© EDP Sciences, 2009
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