2D numerical simulation of effect of antiangiogenic factors Angiostatin and Endostatin on tumor-induced angiogenesis
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    Abstract:

    Objective To investigate the effect of antiangiogenic factors : “Angiostatin” and “Endostatin” on tumor- induced angiogenesis. Methods A 2D discrete mathematical model of tumor-induced angiogenesis was built to simulate the growth of microvascular networks inside and outside of the tumor, with specific terms for endothelial cell proliferation, degradation, random motility, chemtaxis, haptotaxis and angiostatin and endostatin inhibitions. The effect of antiangiogenic factors: “Angiostatin” and “Endostatin” on tumor-induced angiogenesis were discussed. Results The antiangiogenic factor Angiostatin had inhibiting effects on the rates of growth and development of vascular networks inside and outside of the tumor. Endostatin together with Angiostatin could obviously inhibit tumor-induced angiogenesis ,and decreased the numbers of tumor blood vessels at medium-term and terminal stages of tumor vessels growth. Conclusion The inhibiting effects of angiostatin and endostatin on endothelial cell proliferation and migration can be simulated better by using the present model.

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.2D numerical simulation of effect of antiangiogenic factors Angiostatin and Endostatin on tumor-induced angiogenesis[J]. Journal of medical biomechanics,2006,21(4):272-279

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