Numerical simulations of angiogenesis in the cornea
To understand the mechanisms of angiogenesis, a mathematical model was developed for quantitative analysis of various biological events involved in angiogenesis. The model was focused on twodimensional angiogenesis in the cornea. The model considered diffusion of angiogenic factors, uptake of these factors by endothelial cells, and randomness in the direction and the probability of sprout formation. The mathematical model can be used to evaluate effects of individual factors on angiogenesis, understand mechanisms of interactions among different factors during angiogenesis, and generate experimentally testable hypotheses.
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