Growth kinetics (upper panel) and spatial profiles of TUNEL, Ki67, Collagen IV for [G] = 5mM, [O] = 0.28mM (condition II, upper right picture and middle panel) and [G] = 25mM, [O] = 0.28mM (condition III, upper left picture and low panel.).

The dotted curves show simulations where cell cycle progression requires the product of local glucose and oxygen concentration to exceed a critical threshold, while below this threshold cells become quiescent and die. If the product is replaced by the local concentration of ATP, the agreement improves significantly (solid lines). For dashed curves the diffusion coefficient in medium was assumed to be Dmed = 30Dtum. The experimental growth curves are shown as boxplots (box: mean, lower & upper quartiles, horizontal dashes: minimum & maximum), and the radial profiles as composition of mean (bold line) and standard deviation (thin line).

虚线曲线展示的模拟场景中，细胞周期进程要求局部葡萄糖与氧浓度的乘积超过某一临界阈值；当该乘积低于此阈值时，细胞会进入静止状态并死亡。若将该乘积替换为局部三磷酸腺苷（ATP）浓度，则模拟结果与实验的契合度将显著提升（对应实线曲线）。对于虚线曲线，我们假设培养基中的扩散系数为Dmed = 30Dtum。实验生长曲线以箱线图形式呈现（箱体：均值、上下四分位数，横向虚线：最小值与最大值）；径向分布则由均值（粗实线）与标准差（细实线）组合展示。