A minimal mechanosensing model predicts keratocyte evolution on flexible substrates

A minimal mechanosensing model predicts keratocyte evolution on flexible substrates
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DOI:
10.1098/rsif.2020.0175
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发表时间:
2018-03
影响因子:
3.9
通讯作者:
Zhiwen Zhang;P. Rosakis;T. Hou;G. Ravichandran
Zhiwen Zhang;P. Rosakis;T. Hou;G. Ravichandran
中科院分区:
综合性期刊2区
文献类型:
--
作者:
Zhiwen Zhang;P. Rosakis;T. Hou;G. Ravichandran

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建立了鱼类表皮角膜细胞在弹性基质上的形状演化和运动的数学模型。该模型是基于mechanosensing的概念:细胞施加收缩力到弹性基板上,而细胞形状的演变局部取决于由自己或外部机械刺激作用在基板上产生的基板应力。我们使用水平集方法数值研究了模型的行为,并预测了一些在实验中观察到的独特现象,如(i)从静止中心对称到众所周知的稳定传播的新月形的对称破缺,(ii)板状体前缘的非对称双足振荡和行波,(iii)对外部施加到基底的远程机械应力的响应(趋张性)和(iv)朝向与刚性基底的界面改变运动方向(硬旋转)。
A mathematical model is proposed for shape evolution and locomotion of fish epidermal keratocytes on elastic substrates. The model is based on mechanosensing concepts: cells apply contractile forces onto the elastic substrate, while cell shape evolution depends locally on the substrate stress generated by themselves or external mechanical stimuli acting on the substrate. We use the level set method to study the behaviour of the model numerically, and predict a number of distinct phenomena observed in experiments, such as (i) symmetry breaking from the stationary centrosymmetric to the well-known steadily propagating crescent shape, (ii) asymmetric bipedal oscillations and travelling waves in the lamellipodium leading edge, (iii) response to remote mechanical stress externally applied to the substrate (tensotaxis) and (iv) changing direction of motion towards an interface with a rigid substrate (durotaxis).