论文标题
热力学上一致的弥散界面模型，用于细胞粘附和聚集
Thermodynamically Consistent Diffuse Interface Model for Cell Adhesion and Aggregation
论文作者
论文摘要
引入了热力学一致的相位模型，用于模拟多细胞变形和流动条件下的聚集。特别是，在细胞 - 细胞壁相互作用的相位场框架下提出了Lennard-Jones类型的电位。提出了在空间和时间上的二阶准确度$ C^0 $有限元方法来求解控制方程。各种数值测试证实了拟议方案的细胞的收敛，能量稳定性和非线性机械性能。具有不同粘附的囊泡也用于解释镰状细胞疾病患者的病理风险。
A thermodynamically consistent phase-field model is introduced for simulating multicellular deformation, and aggregation under flow conditions. In particular, a Lennard-Jones type potential is proposed under the phase-field framework for cell-cell, cell-wall interactions. A second-order accurate in both space and time $C^0$ finite element method is proposed to solve the model governing equations. Various numerical tests confirm the convergence, energy stability, and nonlinear mechanical properties of cells of the proposed scheme. Vesicles with different adhesion are also used to explain the pathological risk for patients with sickle cell disease.
