Figure 3.

Confined 1D cells migrate faster under higher coefficients of hydraulic resistance. (A) A diagram of the cell and the external fluid flow in a 1D channel is shown. (B) A model prediction of the cell boundary velocity $v_0$ as $d_g^{1\text{D}}$ varies is shown. Here, $c_{\text{in}}^{\text{f}}=340.7$ mM, which corresponds to a water flux of $J_{\text{water}}=82\mu$ m/h. (C) The velocity of the cell edge $v_0$ as $J_{\text{water}}$ and $d_g^{1\text{D}}$ vary as shown. We let $c_{\text{in}}^{\text{f}}$ vary from 340.6 to 341 mM and obtain $J_{\text{water}}$ accordingly. Cell velocity increases with increasing $J_{\text{water}}$ and $d_g^{1\text{D}}$. (D) The contours of $v_0$ as $J_{\text{actin}}$ and ${\eta }_{\text{st}}$ vary as shown. Here, $d_g^{1\text{D}}={10}^6$ Pa$\cdot$s/μm. For confined channels with high hydraulic resistance, neither actin polymerization nor focal adhesion friction influence the cell speed significantly. (E) Stall force per unit area increases with $d_g^{1\text{D}}$. To see this figure in color, go online.