氧气浓度对肿瘤生长影响的建模及模拟计算

Modeling and Simulation of the Effects of Oxygen Concentration on Tumor Cell Growth

恶性肿瘤是危害人类生命健康的严重疾病。恶性肿瘤发生是一个多因素作用、多基因参与、经过多个阶段才最终形成的极其复杂的生物学现象。氧气是影响肿瘤生长最重要的营养物质之一,在这篇文章中,我们提出了一种血管肿瘤生长的建模方法,通过一个固定边界条件的偏微分方程求解无血管肿瘤细胞中氧气浓度的分布,由此定量计算氧气浓度对肿瘤细胞的生长的影响,可以为下一步研究药物对肿瘤细胞的抑制作用打下基础。

Malignant tumor is harm to people’s life and health. Tumor is a function, multiple genes involved in multiple factors, multiple stages to eventually become the extremely complex biological phe-nomena. Oxygen is one of the most important nutrients affecting tumor growth, in this article, we propose a fixed boundary conditions of partial differential equation of oxygen concentration dis-tribution in the avascular tumor cells, oxygen concentration can affect the growth of tumor cells, movement, sleep, and death by studying the oxygen concentration of tumor cells in tissue to study the effect of drugs on tumor cell next to lay the foundation.