Numerical simulation of tumor-induced angiogenesis influenced by the extra-cellular matrix mechanical environment
Abstract
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.
- Publication:
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Acta Mechanica Sinica
- Pub Date:
- December 2009
- DOI:
- 10.1007/s10409-009-0301-3
- Bibcode:
- 2009AcMSn..25..889C
- Keywords:
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- Tumor-induced angiogenesis;
- Mechanical environment;
- 2D mathematical model