生物医学过程中细胞迁移过程中牵引力和细胞形状演变的模型化
A Formalism for Modelling Traction forces and Cell Shape Evolution during Cell Migration in Various Biomedical Processes
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）扩展为细胞牵引力的结合和细胞分化导致的细胞平衡形状的演变。细胞外基质的塑性变形采用形态弹性理论建模。由此产生的偏微分方程求解的有限元法的使用。本文处理各种生物的情况下，需要细胞迁移和细胞形状的演变。Mak等人（2013年）的实验观察结果，其中研究了癌细胞通过狭窄孔径的迁移，使用Monte Carlo框架重现。
英文摘要：
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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