论文标题
活性凝胶理论，用于在细胞外基质中极细胞的多细胞迁移
Active-gel Theory for Multicellular Migration of Polar Cells in the Extra-cellular Matrix
论文作者
论文摘要
我们为细胞外基质（ECM）中多细胞迁移的活动凝胶理论制定。将细胞建模为活性，极性溶剂和ECM作为粘弹性固体。我们的理论使人可以根据不同的相对力和对准机制来分析迁移细胞及其环境之间的动态互惠。我们分析了在ECM中同质迁移的极性细胞的线性稳定性。我们的理论预测，由于细胞矩阵比对，收缩细胞对小波矢量均匀地迁移，而足够扩展的细胞在域中迁移。由于活性力以及细胞与其浓度梯度的对齐，扩展细胞和收缩细胞的均匀细胞迁移可能是不稳定的。这些机制通过与迁移流量和基质刚度的细胞对齐来稳定。预计它们将完全抑制具有10 kPa的弹性模量的刚性矩阵。我们的理论应该在分析以介质量表分析多细胞迁移和ECM模式的情况下有用。
We formulate an active-gel theory for multicellular migration in the extra-cellular matrix (ECM). The cells are modeled as an active, polar solvent, and the ECM as a viscoelastic solid. Our theory enables to analyze the dynamic reciprocity between the migrating cells and their environment in terms of distinct relative forces and alignment mechanisms. We analyze the linear stability of polar cells migrating homogeneously in the ECM. Our theory predicts that, as a consequence of cell-matrix alignment, contractile cells migrate homogeneously for small wave vectors, while sufficiently extensile cells migrate in domains. Homogeneous cell migration of both extensile and contractile cells may be unstable for larger wave vectors, due to active forces and the alignment of cells with their concentration gradient. These mechanisms are stabilized by cellular alignment to the migration flow and matrix stiffness. They are expected to be suppressed entirely for rigid matrices with elastic moduli of order 10 kPa. Our theory should be useful in analyzing multicellular migration and ECM patterning at the mesoscopic scale.
