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通过数学方法解析癌症:从细胞到动物模型。

Dissecting cancer through mathematics: from the cell to the animal model.

机构信息

School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, UK.

出版信息

Nat Rev Cancer. 2010 Mar;10(3):221-30. doi: 10.1038/nrc2808.

DOI:10.1038/nrc2808
PMID:20179714
Abstract

This Timeline article charts progress in mathematical modelling of cancer over the past 50 years, highlighting the different theoretical approaches that have been used to dissect the disease and the insights that have arisen. Although most of this research was conducted with little involvement from experimentalists or clinicians, there are signs that the tide is turning and that increasing numbers of those involved in cancer research and mathematical modellers are recognizing that by working together they might more rapidly advance our understanding of cancer and improve its treatment.

摘要

这篇时间线文章描绘了过去 50 年来癌症数学建模方面的进展,重点介绍了用于剖析该疾病的不同理论方法以及由此产生的见解。尽管这项研究大多是在很少有实验人员或临床医生参与的情况下进行的,但有迹象表明,这种情况正在发生变化,越来越多的参与癌症研究和数学建模的人员认识到,通过共同努力,他们可能会更快地提高我们对癌症的认识并改善其治疗效果。

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Nonlinear modelling of cancer: bridging the gap between cells and tumours.癌症的非线性建模:弥合细胞与肿瘤之间的差距。
Nonlinearity. 2010;23(1):R1-R9. doi: 10.1088/0951-7715/23/1/r01.
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Quantification of endothelial cell-targeted anti-Bcl-2 therapy and its suppression of tumor growth and vascularization.内皮细胞靶向抗 Bcl-2 治疗及其对肿瘤生长和血管生成的抑制作用的定量评估。
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Discrete and continuous mathematical models of sharp-fronted collective cell migration and invasion.尖锐前沿集体细胞迁移和侵袭的离散与连续数学模型。
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Linking discrete and continuous models of cell birth and migration.连接细胞生成与迁移的离散模型和连续模型。
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Cancer cell sedimentation in 3D cultures reveals active migration regulated by self-generated gradients and adhesion sites.三维培养中的癌细胞沉降揭示了由自身产生的梯度和黏附位点调节的活跃迁移。
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Modeling tumors as species-rich ecological communities.将肿瘤模拟为物种丰富的生态群落。
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A compartment model of VEGF distribution in humans in the presence of soluble VEGF receptor-1 acting as a ligand trap.在可溶性血管内皮生长因子受体-1作为配体陷阱存在的情况下,人类血管内皮生长因子分布的房室模型
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