基质力学环境影响下实体肿瘤血管生成的二维数值模拟
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国家自然科学基金资助项目(10372026,10772751); 上海市重点学科建设项目(B112)


Numerical simulation of tumor-induced angiogenesis incorporating mechanical effects in matrix
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    摘要:

    目的考察肿瘤内外不同的力学环境对实体肿瘤血管生成过程中内皮细胞迁移运动的影响,数值生成毛细血管网络图。方法考虑内皮细胞(EC)和细胞外基质(ECM)两相,将ECM设为线性黏弹性体,ECM位移由EC牵引力、ECM黏弹性力及外力构成的力平衡方程得出。通过对EC运动方程的离散,数值生成肿瘤内外血管网络。结果考虑肿瘤内外力学环境对内皮细胞运动的影响,可以获得相对真实的分层毛细血管网络:在肿瘤外层富含毛细血管,越靠近肿瘤中心,血管越稀少。结论考虑力学环境影响的模型在一定程度上可以产生符合生理真实的肿瘤内外毛细血管网络,同时也给后续的研究提供了一定的依据。

    Abstract:

    Objective To investigate tumor-induced angiogenesis influenced by the mechanical environments in and out of tumor, and simulate the capillary network numerically.Methods Considering the effects of both endothelia cell(EC) and extra cellular matrix(ECM), it is assumed that ECM to be linear visco-elastic.The displacement of ECM is obtained from force balance equation consisted of EC traction, ECM visco-elastic force and external force.The capillary network in and out of tumor is simulated numerically by discrete equation of EC movement equation.Results Taking account of the influence from the mechanical environment, a relatively realistic capillary network could be obtained.The mechanical factor resulted in a layered structure:at the edge of tumor, numerous capillaries are generated, while the closer to the tumor center, less capillaries there would be.Conclusion Generated by such computer simulations, this theoretical capillary networks correspond with realistic physiology and provide a premise for further research.

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蔡彦,古娜,张洪一,曹金凤,许世雄.基质力学环境影响下实体肿瘤血管生成的二维数值模拟[J].医用生物力学,2008,23(6):434-440

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