Corpus ID: 235421785

Pattern formation of vascular network in a mathematical model of angiogenesis

  title={Pattern formation of vascular network in a mathematical model of angiogenesis},
  author={J. Mada and T. Tokihiro},
We discuss the characteristics of the patterns of the vascular networks in a mathematical model for angiogenesis. Based on recent in vitro experiments, this mathematical model assumes that the elongation and bifurcation of blood vessels during angiogenesis are determined by the density of endothelial cells at the tip of the vascular network, and describes the dynamical changes in vascular network formation using a system of simultaneous ordinary differential equations. The pattern of formation… Expand


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Numerical simulations of angiogenesis in the cornea.
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  • B. Masters
  • Biology, Medicine
  • Annual review of biomedical engineering
  • 2004
The methods of determining the fractal dimension for branching trees are reviewed together with proposed models for the optimal formation (Murray Principle) of the branching vascular tree in the human retina and the branching pattern of the human bronchial tree. Expand