Chemical-Kinetics Model for the Growth of a Multicellular Tumor Spheroid

JOURNAL OF CHEMICAL ENGINEERING OF JAPAN

Toshiro Maruyama¹  Takeshi Katsuda² 

[1] Department of Chemical Engineering, Kyoto University;Institute of Industrial Science (IIS), University of Tokyo

关键词: Multicellular Tumor Spheroid;    Reaction-Diffusion Equation;    Necrotic Core;    Monod Equation;    Specific Growth Rate;   

DOI  :  10.1252/jcej.08we229

来源: Maruzen Company Ltd

【 摘 要 】

References(18)Cited-By(2)We propose a model based on chemical kinetic analysis for the growth of a multicellular tumor spheroid. The growth of avascular tumor cells is simulated by an autocatalytic reaction where the cell itself converts glucose and oxygen into a new cell. Glucose is assumed to be the limiting substrate, and its depletion gives rise to the necrosis of tumor cells. Since the depletion is assumed to be the major cause of the central necrosis, the death of tumor cells is determined by the critical value of the concentration. The concentration profile of glucose inside the tumor is obtained from a reaction-diffusion equation. The characteristic features of the experimental results are demonstrated well in this model.

【 授权许可】

Unknown