论文部分内容阅读
目的探究细胞生长抑制因子和组织应力对处于初期生长阶段肿瘤的影响。方法将处于初期生长阶段的实体肿瘤分为肿瘤细胞相和间质相,采用二相模型描述其生长、演变过程。组织间营养的供给促进肿瘤细胞的生长;新陈代谢及细胞自身分泌的抑制因子加速细胞的凋亡。建立肿瘤细胞相的连续性方程与营养、抑制因子的扩散方程。考虑到两相的互相作用对肿瘤生长的影响,建立两相的力平衡方程,并利用各相的本构关系确定最终耦合的质量守恒方程、动量守恒方程和扩散方程,进行数值求解。结果数值计算结果显示,营养物质浓度随时间增加而减小,其分布由肿瘤中心向周边递增;抑制因子的含量随时间推进而减少,在肿瘤中心区域变化明显,周边变化不大;在抑制因子与组织应力的共同影响下,生长初期阶段肿瘤的中心区域活性小,周边区域活性大;忽略抑制因子的作用,肿瘤内部活性很高且肿瘤细胞分布均匀。结论抑制因子的存在,使生长初期阶段的肿瘤内部出现坏死区;间质挤压肿瘤细胞,细胞产生释放应力的趋势,从而向外生长。
Objective To investigate the effects of cell growth inhibitory factor and tissue stress on the tumor in the initial growth stage. Methods Solid tumors in the initial growth stage were divided into tumor cell phase and stroma phase, and their growth and evolution were described by two-phase model. Tissue nutrition supply to promote the growth of tumor cells; metabolism and cell self-secretion of inhibitors to accelerate cell apoptosis. Establishing the continuity equation of tumor cell phase and the diffusion equation of nutrition and inhibition factor. Taking into account the interaction between the two phases on the tumor growth, the establishment of two-phase force balance equation, and the use of the constitutive relationship of each phase to determine the final coupling mass conservation equation, momentum conservation equation and diffusion equation for numerical solution. Results The numerical results show that the concentration of nutrients decreases with the increase of time, and its distribution increases from the tumor center to the periphery. The content of inhibitors decreases with time, and changes significantly in the central region of the tumor, Under the common influence of tissue stress, the tumor in the initial stage of growth has small activity in the central region and large surrounding region. Neglecting the action of inhibitory factor, the activity in the tumor is high and the tumor cells are evenly distributed. Conclusions The presence of inhibitors inhibits the necrosis of the tumor in the early stage of growth. The stromal cells squeeze out the stress-induced tendency of the tumor cells to grow outward.