Abstract
A hybrid discrete-continuum model of tumor growth in the avascular phase considering capillary points is established. The influence of the position of capillary points on tumor growth is also studied by simulation. The results of the dynamic tumor growth and the distribution of oxygen, matrix-degrading enzymes, and extracellular matrix-concentration in the microenvironment with respect to time are shown by graphs. The relationships between different oxygenated environments and the numbers of surviving, dead, proliferative, and quiescent tumor cells are also investigated.
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Project supported by the National Natural Science Foundation of China (Nos. 10372026 and 10772051), the Shanghai Leading Academic Discipline Project (No. B112), and the Eleventh Innovation Fund for Graduate Students of Fudan University
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Lyu, J., Xu, Sx., Yao, W. et al. Hybrid discrete-continuum model of tumor growth considering capillary points. Appl. Math. Mech.-Engl. Ed. 34, 1237–1246 (2013). https://doi.org/10.1007/s10483-013-1741-8
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DOI: https://doi.org/10.1007/s10483-013-1741-8