Two-dimensional discrete mathematical model of tumor-induced angiogenesis

摘要: A 2D discrete mathematical model of a nine-point finite difference scheme is built to simulate tumor-induced angiogenesis. Nine motion directions an individual endothelial cell and two parent vessels are extended in the present model. The process angiogenesis performed by coupling random motility, chemotaxis, haptotaxis different mechanical environments inside outside tumor. results show that nearly realistic tumor microvascular networks with neoplastic pathophysiological characteristics can be generated from Moreover, theoretical capillary numerical simulations may provide useful information for further clinical research.