Migration and proliferation dichotomy in tumor-cell invasion
Migration and proliferation dichotomy in tumor-cell invasion
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DOI：
10.1103/physrevlett.98.118101
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发表时间：
2007-03-16
影响因子：
8.6
通讯作者：
Iomin, Alexander
中科院分区：
文献类型：
--
作者：
Fedotov, Sergei;Iomin, Alexander
我们提出了一种双组分反应-转运模型，用于肿瘤细胞扩散中的迁移-增殖二分法。通过使用连续时间随机游走（CTRW），我们为两种表型的癌细胞在细胞增殖和迁移之间随机切换制定了平衡方程组。传输过程是根据 CTRW 制定的，具有任意的等待时间分配定律。增殖是通过标准物流增长来建模的。我们应用双曲标度和汉密尔顿-雅可比形式主义来确定肿瘤细胞侵袭的总体速率。特别是，我们考虑了正常扩散和异常传输（亚扩散），以证明迁移的标准扩散近似会导致对总体癌症扩散率的高估。
We propose a two-component reaction-transport model for the migration-proliferation dichotomy in the spreading of tumor cells. By using a continuous time random walk (CTRW), we formulate a system of the balance equations for the cancer cells of two phenotypes with random switching between cell proliferation and migration. The transport process is formulated in terms of the CTRW with an arbitrary waiting-time distribution law. Proliferation is modeled by a standard logistic growth. We apply hyperbolic scaling and Hamilton-Jacobi formalism to determine the overall rate of tumor cell invasion. In particular, we take into account both normal diffusion and anomalous transport (subdiffusion) in order to show that the standard diffusion approximation for migration leads to overestimation of the overall cancer spreading rate.