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Computational and Mathematical Methods in Medicine
Volume 2012 (2012), Article ID 198145, 9 pages
Research Article

Study of Tumor Growth under Hyperthermia Condition

1School of Biomedical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
2Med-X Research Institute, Shanghai Jiao Tong University, Shanghai 200240, China

Received 2 May 2012; Revised 22 July 2012; Accepted 23 July 2012

Academic Editor: Scott Penfold

Copyright © 2012 Qing Zhu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The new concept of keeping primary tumor under control in situ to suppress distant foci sheds light on the treatment of metastatic tumor. Hyperthermia is considered as one of the means for controlling tumor growth. To simulate the tumor growth, a continuum mathematical model has been introduced. The newest understanding of the Warburg effect on the cellular metabolism and diffusion of the nutrients in the tissue has been taken into consideration. The numerical results are compared with the in vivo experimental data by fitting the tumor cell doubling time/tumor cell growth rate under different thermal conditions. Both the tumor growth curve and corresponding average glucose concentration have been predicted. The numerical results have quantitatively illustrated the controlling effect on tumor growth under hyperthermia condition in the initial stage.