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)
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 tumou...
supported by the National Natural Science Foundation of China (No. 10772051);the Postdoctral Foundation of China (No. 20100470702)
The effects of anti-angiogenesis treatment by angiostatin and endostatin on normalization of tumor microvasculature and microenvironment are investigated, based on mathematical modeling and numerical simulation of tum...
supported by the National Natural Science Foundation of China (No. 10772051);the ScienceFoundation for the Excellent Youth Scholars of Higher Education of Shanghai (No. 571215);the Research Fund for the Doctoral Program of University of Shanghai for Science and Technology(No. 10D214)
A 2D discrete mathematical model of a nine-point finite difference scheme is built to simulate tumor-induced angiogenesis. Nine motion directions of an individual endothelial cell and two parent vessels are extended i...