Stochastic model of the formation of cancer metastases via cancer stem cells

被引：0
作者：
Vladimir P. Zhdanov
机构：
[1] Chalmers University of Technology,Department of Applied Physics
[2] Boreskov Institute of Catalysis,undefined
[3] Russian Academy of Sciences,undefined
来源：
European Biophysics Journal | 2008年 / 37卷
关键词：
Cancer; Metastases; Cancer stem and progenitor cells; Premetastatic niches; Proliferation, differentiation and death of cells; Mean-field kinetic equations; Monte Carlo simulations;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The author presents Monte Carlo simulations of the temporal kinetics of the formation of cancer metastases with emphasis on cancer stem cells. The model used implies the existence of premetastatic niches. The population of cancer stem cells located outside tumors and inducing the formation of new tumors in niches is considered to be heterogeneous. If the niches are equivalent with respect to the formation of metastases, the kinetics are predicted to exhibit an induction period and then rapid growth of the number of metastases. If the niches are heterogeneous, the kinetics are found to be more gradual.
引用
收藏
页码：1329 / 1334
页数：5
相关论文
共 173 条
  • [11] Benito-Hemandez A(2007)Developmental signaling pathways in brain tumor-derived stem-like cells Dev Dyn 236 3297-2194
  • [12] Morrison SJ(2007)Splenectomy: a new treatment option for ALL tumors expressing Hox-11 and a means to test the stem cell hypothesis of cancer in humans Leukemia 21 2192-487
  • [13] Clarke MF(2007)(A) symmetric stem cell replication and cancer PLOS Comput Biol 3 482-14
  • [14] Araujo RP(2007)Migration and proliferation dichotomy in tumor-cell invasion Phys Rev Lett 98 118101-354
  • [15] McElwain DLS(2006)Mathematical model for the cancer stem cell hypothesis Cell Prolif 39 3-2361
  • [16] Barnhart BC(2007)Mathematical model for chemotherapeutic drug efficacy in arresting tumour growth based on the cancer stem cell hypothesis Cell Prolif 40 338-3482
  • [17] Simon MC(1977)Exact stochastic simulation of coupled chemical reactions J Phys Chem 81 2340-417
  • [18] Bellomo N(2007)Carcinogenesis and environment: the cancer stem cell hypothesis and implications for the development of novel therapeutics and diagnostics Front Biosci 12 3475-1440
  • [19] Maini PK(2006)A stochastic model for the sizes of detectable metastases J Theor Biol 343 407-1375
  • [20] Bonnet D(2007)Destemming cancer stem cells J Natl Cancer Inst 99 1435-1067
12345678910