Journal of Guangxi Normal University(Natural Science Edition) ›› 2013, Vol. 31 ›› Issue (1): 16-20.

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Study of Scaling Law in an Early-stage Tumour Growth Model

JIANG Chong-ming1,2, LIU Yan-hui2, HU Lin2   

  1. 1.Department of Physics,Sun Yat-Sen University,Guangzhou Guangdong 510275,China;
    2.College of Science,Guizhou University,Guiyang Guizhou 550025,China
  • Received:2012-12-31 Online:2013-03-20 Published:2018-11-26

Abstract: To investigate a better model to describe the tumor growth and to study the effect of scaling law on the growth of tumor,several typical tumor growth models and the differences between the models and the practical tumorgrowth were analyzed in the article.A multicellular tumor spheroids (MTS) modelwhich combines the diffusion theory was used to describe the tumor growth.When thescaling law was introduced,a better oxygen consumption rate in unit volume,Qwas got obtained,and it accords with the experiments well,which means the influence of scalinglaw on the growth of tumor is obvious.The relationship between the metabolic rate and tumor size was also investigated during the tumor growth.The critical size of dormant tumor could be the result of the competition between the diffusionrate and consumption rate of oxygen,and the critical size of tumor can be calculated by the equation B=I.

Key words: early tumor growth, tumor growth model, MTS model, scaling law

CLC Number: 

  • Q61
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