应用数学和力学（英文版）
應用數學和力學（英文版）
응용수학화역학（영문판）
APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION)
2013年
10期
1237-1246
,共10页
吕杰%许世雄%姚伟%周瑜%龙泉
呂傑%許世雄%姚偉%週瑜%龍泉
려걸%허세웅%요위%주유%룡천
mathematical model%capillary point%tumor growth%oxygen
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.
