标度律对单细胞生物和肿瘤生长的影响研究  

Investigation on the Effects of Scaling Law on the Growths of Single-cell Organisms and Tumor

作　　者：蒋重明[1] 胡林[1] 刘艳辉[1] 

机构地区：[1]贵州大学理学院物理系,贵州贵阳550025

出　　处：《中国医学物理学杂志》2011年第4期2800-2803,2828,共5页Chinese Journal of Medical Physics

基　　金：国家自然基金(No.11047022);贵州省社会发展攻关项目(黔科合SY字[2009]3086);贵州省长专项基金(黔省专合字2010-5);贵州省社科攻关项目(黔科合OZ字[2009]2);贵州省科技基金项目(黔科合J字[2010]2141号);贵州大学引进人才研究项目(贵大人基合字(2009)001号)

摘　　要：目的:研究标度律对单细胞生物和肿瘤生长的影响。方法:基于单细胞模型,引入标度律研究单细胞生物生长中氧分压及氧代谢情况;用结合了扩散原理的多细胞肿瘤球体模型来研究标度律刻画的肿瘤生长。结果:研究给出了单细胞生物的氧分压分布及其代谢速率与半径关系,引入标度律得到的单细胞生物的生长结果与实验较符合;引入标度律得到了多细胞球体肿瘤不同区域内的氧分压分布,并给出了肿瘤的氧气消耗速率函数,扩散速率函数以及氧气消耗速率,扩散速率与肿瘤半径的关系。结论:引入标度律所得的单细胞生物的代谢速率及生长结果与实验较符合,标度律对单细胞生物生长的影响很明显。区别于前人研究肿瘤,对多细胞球体肿瘤的生长引入标度律得到的肿瘤单位体积氧消耗速率Q与半径的关系及肿瘤中氧分压的分布也和实验较一致,说明标度律对肿瘤生长的影响也很明显,但相对前者,肿瘤是个更复杂的体系,要完整而准确地描述整个肿瘤生长需要考虑更多的影响因子。Objective: To study the effect of scaling law on the growths of single-cell organisms and tumor.Methods: A single cell model was used to study the effect of scaling law to the tumor growth,and multicell tumour spheroids model was also discussed.Results: The oxygen distribution and the relationship between metabolic rate and radius were gotten,which was agreed well with the experiments;The oxygen distribution within the different regions of tumor was obtained;the function of oxygen consumption rate and diffusion rate and their relationship with the radius of tumor were also obtained.Conclusions: The influence of scaling law on the growth of single-cell organisms is obvious.Nevertheless,as the former,tumor is a more complex system.More factors should be considered to describe the growth of tumor in detail.

关 键 词：标度律 单细胞模型 MTS模型 氧分压 

分 类 号：R312[医药卫生—基础医学]