A multiple scale model for tumor growth

被引:152
作者
Alarcón, T
Byrne, HM
Maini, PK
机构
[1] UCL, Dept Comp Sci, Bioinformat Unit, London WC1E 6BT, England
[2] Univ Nottingham, Sch Math Sci, Ctr Math Med, Nottingham NG7 2RD, England
[3] Math Inst, Ctr Math Biol, Inst Math, Oxford OX1 3LB, England
关键词
blood flow heterogeneity; growth laws; physiologically structured lattice model; cell-cycle; p27; p53; multiple scales;
D O I
10.1137/040603760
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We present a physiologically structured lattice model for vascular tumor growth which accounts for blood flow and structural adaptation of the vasculature, transport of oxygen, interaction between cancerous and normal tissue, cell division, apoptosis, vascular endothelial growth factor release, and the coupling between these processes. Simulations of the model are used to investigate the effects of nutrient heterogeneity, growth and invasion of cancerous tissue, and emergent growth laws.
引用
收藏
页码:440 / 475
页数:36
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