Coupled modeling of tumour angiogenesis, tumour growth,and blood perfusion  

作　　者：Y.Cai,1,2 S.X.Xu,1,a) J.Wu,3 and Q.Long 2,b) 1) Department of Mechanics and Engineering Science,Fudan University,Shanghai 200433,China 2) Brunel Institute for Bioengineering,School of Engineering and Design,Brunel University,Uxbridge,Middlesex,UK 3) School of Naval Architecture,Ocean and Civil Engineering,Shanghai Jiaotong University,Shanghai 200240,China 

出　　处：《Theoretical & Applied Mechanics Letters》2011年第4期80-82,共3页力学快报（英文版）

基　　金：supported by the National Natural Science Foundation of China (10772051);the State Scholarship Fund of China (2009610108);the Ninth Innovation Fundfor Graduate Students of Fudan University (YAN CAI)

摘　　要：This paper proposes a more realistic mathematical simulation method to investigate the dynamic process of tumour angio-genesis by fully coupling the vessel growth,tumour growth and associated blood perfusion.The tumour growth and angiogenesis are coupled by the chemical microenvironment and the cell-matrix interaction.The haemodynamic calculation is carried out on the new vasculature,and an estimation of vessel collapse is made according to the wall shear stress criterion.The results are consistent with physiological observations,and further confirm the application of the coupled model feedback mechanism.The model is available to examine the interactions between angiogenesis and tumour growth,to study the change in the dynamic process of chemical environment and the vessel remodeling.This paper proposes a more realistic mathematical simulation method to investigate the dynamic process of tumour angio-genesis by fully coupling the vessel growth,tumour growth and associated blood perfusion.The tumour growth and angiogenesis are coupled by the chemical microenvironment and the cell-matrix interaction.The haemodynamic calculation is carried out on the new vasculature,and an estimation of vessel collapse is made according to the wall shear stress criterion.The results are consistent with physiological observations,and further confirm the application of the coupled model feedback mechanism.The model is available to examine the interactions between angiogenesis and tumour growth,to study the change in the dynamic process of chemical environment and the vessel remodeling.

关 键 词：tumour growth ANGIOGENESIS coupled model mathematical modeling 

分 类 号：R730.2[医药卫生—肿瘤] O242.1[医药卫生—临床医学]