School of Biomedical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China.
Comput Math Methods Med. 2012;2012:198145. doi: 10.1155/2012/198145. Epub 2012 Sep 3.
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.
原位控制原发性肿瘤以抑制远处转移灶的新概念为转移性肿瘤的治疗提供了思路。热疗被认为是控制肿瘤生长的手段之一。为了模拟肿瘤的生长,引入了一个连续体数学模型。该模型考虑了对细胞代谢和组织中营养物质扩散的最新沃伯格效应的理解。通过拟合不同热条件下的肿瘤细胞倍增时间/肿瘤细胞生长速率,将数值结果与体内实验数据进行了比较。预测了肿瘤生长曲线和相应的平均葡萄糖浓度。数值结果定量说明了在热疗初期对肿瘤生长的控制效果。