Numerical simulation of tumor-induced angiogenesis influenced by the extra-cellular matrix mechanical environment
Numerical simulation of tumor-induced angiogenesis influenced by the extra-cellular matrix mechanical environment
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DOI：
10.1007/s10409-009-0301-3
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发表时间：
2009-12-01
影响因子：
3.5
通讯作者：
Long, Quan
中科院分区：
文献类型：
--
作者：
Cai, Yan;Gulnar, Kalkabay;Long, Quan
为了研究肿瘤内外力学环境对肿瘤血管生成的影响，建立了肿瘤血管生成的数学模型。在该模型中，细胞外基质(ECM)被视为一个薄平面。由ECS牵引力、ECM粘弹力和外力组成的力平衡方程求出ECM的位移。模拟结果表明，肿瘤周围血管丰富，毛细血管网络呈层状分布。该模型可作为肿瘤诱导血管生成基础研究的有效理论方法。
To investigate tumor-induced angiogenesis under the influence of the mechanical environments inside and outside the tumor, mathematical model of tumor angiogenesis was developed. In the model, extra-cellular matrix (ECM) was treated as a thin plane. The displacement of ECM is obtained from the force balance equation consisted of the ECs traction, the ECM visco-elastic forces and the external forces. Simulation results show that a layered capillary network is obtained with a well vascularized region at the periphery of the tumor. The present model can be used as a valid theoretical method in the basic researches in tumor-induced angiogenesis.