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arXiv 1106.0929q-bio.CBcond-mat.soft
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基质刚性使活性凝胶变形并极化

Substrate rigidity deforms and polarizes active gels

Shiladitya Banerjee, M. Cristina Marchetti

摘要:

我们提出了一个连续模型的细胞和基板之间的耦合,占一些观察到的基板刚度依赖的细胞特性。细胞被建模为一个弹性的活性凝胶,适应最近发展的连续理论的活性粘弹性流体。与基底的耦合作为边界条件进入,将单元的变形场与局部应力梯度联系起来。在活动的存在下,耦合到基板产生空间上不均匀的收缩应力和变形的细胞,可以增强极化,打破细胞的前后对称性。

英文摘要:

We present a continuum model of the coupling between cells and substrate that accounts for some of the observed substrate-stiffness dependence of cell properties. The cell is modeled as an elastic active gel, adapting recently developed continuum theories of active viscoelastic fluids. The coupling to the substrate enters as a boundary condition that relates the cell's deformation field to local stress gradients. In the presence of activity, the coupling to the substrate yields spatially inhomogeneous contractile stresses and deformations in the cell and can enhance polarization, breaking the cell's front-rear symmetry.

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