Analysis and simulation of a model for intracellular drug accumulation in tumors
Analysis and simulation of a model for intracellular drug accumulation in tumors
复制标题
肿瘤细胞内药物蓄积模型的分析与模拟
DOI:
10.1016/j.amc.2005.10.004
复制
发表时间:
2006-05
影响因子:
4
通讯作者:
Tao Youshan
中科院分区:
文献类型:
--
作者:
Guo Qian;Tao Youshan
We consider a spatio-temporal mathematical model describing drug accumulation in tumors. The model is a free boundary problem for a system of partial differential equations governing extracellular drug concentration, intracellular drug concentration and sequestered drug concentration. The balance between cell proliferation and death generates a velocity field. The tumor surface is a moving boundary. We study the model using analytical methods and numerical methods. The analytical methods involve proving existence and uniqueness of model solutions and yielding an explicit condition, in terms of model parameters, for which tumor eradication may be achieved. The numerical results illustrate the effect of parameter variation on the system behavior and the profiles of the drug concentrations in three compartments. The effect of multiple rounds of treatment is also numerically studied.
登录
查看更多内容
影响因子:
1.7
作者:
Youshan Tao;N. Yoshida;Qian Guo
通讯作者:
Youshan Tao;N. Yoshida;Qian Guo
影响因子:
4.3
作者:
BYRNE, HM;CHAPLAIN, MAJ
通讯作者:
CHAPLAIN, MAJ
影响因子:
1.9
作者:
Tao, YS;Guo, Q
通讯作者:
Guo, Q
DOI:
--
发表时间:
1994-12
期刊:
The Journal of pharmacology and experimental therapeutics
影响因子:
--
作者:
M. Dordal;M. Jackson-Stone;A. C. Ho;J. Winter;A. Atkinson
通讯作者:
M. Dordal;M. Jackson-Stone;A. C. Ho;J. Winter;A. Atkinson
影响因子:
3
作者:
M. DeGregorio;G. Lui;B. Macher;J. Wilbur
通讯作者:
M. DeGregorio;G. Lui;B. Macher;J. Wilbur