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

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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.

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Authors and Affiliations

  1. Department of Mechanics and Engineering Science, Fudan University, 200433, Shanghai, China

    Yan Cai, Kalkabay Gulnar, Hongyi Zhang, Jinfeng Cao & Shixiong Xu

  2. Brunel Institute for Bioengineering, School of Engineering and Design, Brunel University, Uxbridge, Middlesex, UK

    Quan Long

Authors
  1. Yan Cai
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  2. Kalkabay Gulnar
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  3. Hongyi Zhang
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  4. Jinfeng Cao
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  5. Shixiong Xu
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  6. Quan Long
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Corresponding author

Correspondence to Shixiong Xu.

Additional information

The project was supported by the National Natural Science Foundation of China (10372026 and 10772751), Shanghai Leading Academic Discipline Project (B112).

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Cai, Y., Gulnar, K., Zhang, H. et al. Numerical simulation of tumor-induced angiogenesis influenced by the extra-cellular matrix mechanical environment. Acta Mech Sin 25, 889–895 (2009). https://doi.org/10.1007/s10409-009-0301-3

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  • DOI: https://doi.org/10.1007/s10409-009-0301-3

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