A MATHEMATICAL-MODEL OF TUMOR-GROWTH .2. EFFECTS OF GEOMETRY AND SPATIAL NONUNIFORMITY ON STABILITY
A MATHEMATICAL-MODEL OF TUMOR-GROWTH .2. EFFECTS OF GEOMETRY AND SPATIAL NONUNIFORMITY ON STABILITY
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DOI：
10.1016/0025-5564(87)90010-1
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发表时间：
1987-10-01
影响因子：
4.3
通讯作者：
ADAM, JA
中科院分区：
文献类型：
--
作者：
ADAM, JA
有丝分裂抑制在一个，两个和三维配置的理论帐户。基于较早的论文，抑制剂的生产率被认为是不均匀的整个组织，导致显着偏差的预测均匀的模型。几何形状也影响增长的稳定性。这里提出的分析代表了一个详细的研究高度不均匀的抑制，从中可以很容易地推断出中间抑制模型的信息的属性。在本系列的第三篇论文中，这些信息被用来将这样的模型与实验结果进行比较。
A theoretical account of mitotic inhibition in one-, two-, and three-dimensional configurations is presented. Based on an earlier paper, the inhibitor production rate is taken to be nonuniform throughout the tissue, resulting in significant deviations from the prediction of uniform models. Geometry affects the stability of growth also. The analysis presented here represents a detailed study of the properties of highly nonuniform inhibition, from which information on intermediate inhibition models can be readily deduced. This information is used to compare such a model with experimental results in the third paper in this series.