论文标题

在各种生物医学过程中,用于建模牵引力和细胞迁移过程中细胞形状演变的形式主义

A Formalism for Modelling Traction forces and Cell Shape Evolution during Cell Migration in Various Biomedical Processes

论文作者

Peng, Qiyao, Vermolen, Fred, Weihs, Daphne

论文摘要

细胞形状变形和细胞迁移的现象学模型(Chen et.Al.2018; Vermolen and Gefen 2012)随着细胞牵引力的掺入和细胞平衡形状的演变而扩展。使用形态弹性理论对细胞外基质的塑性变形进行建模。通过使用有限元方法来求解所得的部分微分微分方程。本文处理各种需要细胞迁移和细胞形状演化的生物学情景。 Mak等人的实验观察结果。 (2013年),研究癌细胞通过狭窄的孔进行移民,使用蒙特卡洛框架再现。

The phenomenological model for cell shape deformation and cell migration (Chen et.al. 2018; Vermolen and Gefen 2012) is extended with the incorporation of cell traction forces and the evolution of cell equilibrium shapes as a result of cell differentiation. Plastic deformations of the extracellular matrix are modelled using morphoelasticity theory. The resulting partial differential differential equations are solved by the use of the finite element method. The paper treats various biological scenarios that entail cell migration and cell shape evolution. The experimental observations in Mak et.al. (2013), where transmigration of cancer cells through narrow apertures is studied, are reproduced using a Monte Carlo framework.

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