During cell migration, forces applied to a cell from its environment influence the motion. When the cell is placed on a substrate, such a force is provided by the cell-substrate adhesion. Modulation of adhesivity, often performed by the modulation of the substrate stiffness, tends to cause common responses for cell spreading, cell speed, persistence, and random motility coefficient. Although the reasons for the response of cell spreading and cell speed have been suggested, other responses are not well understood. In this study, we develop a simple toy model for cell migration driven by the relation of two forces: the adhesive force and the plasma membrane tension. The simplicity of the model allows us to perform the calculation not only numerically but also analytically, and the analysis provides formulas directly relating the adhesivity to cell spreading, persistence, and the random motility coefficient. Accordingly, the results offer a unified picture on the causal relations between those multiple cellular responses. In addition, cellular properties that would influence the migratory behavior are suggested.

中文翻译：

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一种将细胞-基质粘附与多种细胞迁移反应联系起来的机械玩具模型

在细胞迁移过程中，从环境施加到细胞上的力会影响运动。当细胞被放置在基底上时，这种力是由细胞-基底粘附力提供的。粘附性的调节，通常通过基质刚度的调节进行，往往会引起细胞扩散、细胞速度、持久性和随机运动系数的常见反应。尽管已经提出了细胞扩散和细胞速度反应的原因，但其他反应尚不清楚。在这项研究中，我们开发了一个简单的玩具模型，用于由两种力的关系驱动的细胞迁移：粘附力和质膜张力。模型的简单性使我们不仅可以进行数值计算，还可以进行分析计算，该分析提供了与细胞扩散、持久性和随机运动系数直接相关的粘附性的公式。因此，结果提供了关于这些多个细胞反应之间因果关系的统一图景。此外，还建议了会影响迁移行为的细胞特性。