Emergence of traveling waves and their stability in a free boundary model of cell motility

Emergence of traveling waves and their stability in a free boundary model of cell motility
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细胞运动自由边界模型中行波的出现及其稳定性

DOI:
10.1090/tran/8824
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发表时间:
2023
影响因子:
1.3
通讯作者:
Berlyand, Leonid
Berlyand, Leonid
中科院分区:
数学1区
文献类型:
--
作者:
Rybalko, Volodymyr;Berlyand, Leonid

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受P. Recho, T. Putelat和L. Truskinovsky[物理学家]提出的一维收缩驱动的细胞运动模型的启发,我们考虑了细胞运动的二维自由边界模型。《社会科学》(2013),p. 1083。模型的关键成分是肌动蛋白-肌凝蛋白网络过阻尼运动的达西定律,以及肌凝蛋白密度的平流-扩散方程。这些方程补充了Young-Laplace方程来计算边界上的压力和无通量条件下的肌凝蛋白密度,而边界的演变取决于边缘的肌凝蛋白流动。
We consider a 2D free boundary model of cell motility, inspired by the 1D contraction-driven cell motility model due to P. Recho, T. Putelat, and L. Truskinovsky [Phys. Rev. Lett. 111 (2013), p. 108102]. The key ingredients of the model are the Darcy law for overdamped motion of the acto-myosin network, coupled with the advection-diffusion equation for myosin density. These equations are supplemented with the Young-Laplace equation for the pressure and no-flux condition for the myosin density on the boundary, while evolution of the boundary is subject to the acto-myosin flow at the edge.
爬行细胞的推和拉之间的不对称。
DOI: --
发表时间: 2013
期刊: Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子: --
作者:
P. Recho;L. Truskinovsky
通讯作者: L. Truskinovsky
DOI: 10.1038/npjcompumats.2016.19
发表时间: 2016-07
期刊: --
影响因子: --
作者:
F. Ziebert;I. Aranson
通讯作者: F. Ziebert;I. Aranson
DOI: 10.1073/pnas.1417257112
发表时间: 2015-04-21
影响因子: 11.1
作者:
Barnhart, Erin;Lee, Kun-Chun;Mogilner, Alex
通讯作者: Mogilner, Alex