Numerical Simulation of the Inhibiting Effects on Solid Tumour Cells in Anti-Angiogenic Therapy: an Application of Coupled Mathematical Model of Angiogenesis With Tumour Growth
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摘要: 为研究抗血管生成因子angiostatin和抗血管生成药物endostatin对肿瘤血管生成和肿瘤细胞的抑制作用,建立耦合肿瘤血管生长、肿瘤生长和血液灌注的数学模型.模拟结果显示抗血管生成因子angiostatin和抗血管生成药物endostatin可明显抑制血管生成和减少肿瘤细胞数量,从而起到改善肿瘤组织内部异常微环境的作用.模型可作为肿瘤抗血管生成治疗的一种理论研究.Abstract: To investigate the inhibiting effects of anti-angiogenic factor angiostatin and anti-angiogenic drug endostatin on tumour angio genesis and tumour cells,a coupled mathematical model of tumor angiogenesis with tumour growth and blood perfusion was developed.The simulation results showed that angiostatin and endostatin could improve the abnormal microenvironment inside the tumour tissue,by effectively inhibiting the process of tumor angiogenesis and decreasing the number of tumour cells.The present model can be used as a valid theoretical method in the investigation of tumour anti-angiogenic therapy.
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Key words:
- tumor angiogenesis /
- tumor growth /
- anti-angiogenic therapy /
- coupled mathematical model
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