We consider a force-based model for cell motion which models cell forces using Hooke's law and a random outreach from the cell center. In previous work this model was simplified to track the centroid by setting the relaxation time to zero, and a formula for the expected velocity of the centroid was derived. Here we extend that formula to allow for chemotaxis of the cell by allowing the outreach distribution to depend on the spatial location of the centroid.

中文翻译：

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趋化因子存在下细胞运动的连续时间随机模型

我们考虑了基于力的细胞运动模型，该模型使用胡克定律和来自细胞中心的随机扩展对细胞力进行建模。在先前的工作中，通过将松弛时间设置为零，简化了该模型以跟踪质心，并导出了质心的预期速度公式。在这里，我们通过允许扩展分布取决于质心的空间位置，扩展该公式以允许细胞趋化。