肿瘤生长中的Allee效应
Emerging Allee effect in tumor growth
摘要：
肿瘤细胞发展出不同的特征以适应环境条件。一个突出的例子是肿瘤细胞在迁移和增殖表型之间切换的能力，这种现象称为去或生长机制。然而，目前尚不清楚这种特殊的表型可塑性如何影响整体肿瘤生长。为了解决这个问题，我们制定和研究的时空肿瘤动力学的数学模型不同的反应，当地的细胞密度介导的去或生长二分法。我们的分析表明，两个动态政权可以区分。如果允许细胞运动性随局部细胞密度增加，则任何肿瘤细胞群将随时间持续存在，而不管其初始大小。相反，如果假设细胞运动性相对于局部细胞密度降低，则出现Allee效应，使得任何低于一定大小阈值的肿瘤群体最终死亡。这些结果表明，旨在阻碍迁移的策略，例如通过增强接触抑制，值得探索作为主要集中在检查肿瘤增殖的替代方案。
英文摘要：
Tumor cells develop different features to adapt to environmental conditions. A prominent example is the ability of tumor cells to switch between migratory and proliferative phenotypes, a phenomenon known as go-or-grow mechanism. It is however unclear how this particular phenotypic plasticity affects overall tumor growth. To address this problem, we formulate and study a mathematical model of spatio-temporal tumor dynamics where different responses to local cell density mediate the go-or-grow dichotomy. Our analysis reveals that two dynamic regimes can be distinguished. If cell motility is allowed to increase with local cell density, any tumor cell population will persist in time, irrespective of its initial size. On the contrary, if cell motility is assumed to decrease with respect to local cell density, an Allee effect emerges, so that any tumor population below a certain size threshold eventually extinguishes. These results suggest that strategies aimed at hindering migration, for instance by enhancing contact inhibition, are worth to be explored as alternatives to those mainly focused at checking tumor proliferation.
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