Numerical simulation of tumor-induced angiogenesis influenced by the extra-cellular matrix mechanical environment

作者：Cai Yan; Gulnar Kalkabay; Zhang Hongyi; Cao Jinfeng; Xu Shixiong^*; Long Quan

来源：Acta Mechanica Sinica, 2009, 25(6): 889-895.

DOI：10.1007/s10409-009-0301-3

• Tumor-induced angiogenesis
• Mechanical environment
• 2D mathematical model

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.

• 出版日期2009-12
• 单位复旦大学