Three-Dimensional Collective Cell Dynamics Model Basedon Elastic Shells
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摘要: 群体细胞迁移常见于胚胎发育、伤口愈合和肿瘤侵袭等各种生理和病理过程中,关于其动力学的研究对于揭示群体细胞迁移机理、深刻理解有关生物过程十分重要.该文构建了群体细胞的三维可变形壳状模型,提出了一种考虑细胞弹性形变和细胞间接触与黏附相互作用的群体细胞动力学理论,并发展了相应的数值算法.基于所发展的动力学模型与算法,对多细胞在嚢腔里的受限旋转运动进行了模拟,复现了相关实验现象,分析了细胞极性、细胞形变、胞间相互作用等因素对多细胞三维动力学的影响规律.Abstract: Collective cell migration occurs in various physiological and pathological processes such as embryonic development, wound healing and tumor invasion. Studies on collective dynamics are crucial for understanding the mechanism underlying collective cell migration and its related biological processes. Here, we propose a three-dimensional (3D) multicellular model based on elastically deformable shells. The equation of motion on the vertices of the cell was established. A 3D collective cell dynamics theory that involves cell deformations and intercellular contact and adhesion is established, and the corresponding numerical algorithm is developed. Based on the developed dynamic model, the rotation of collective cell confined in a spherical lumen is simulated. Our simulations reproduce the experimental observation. Further, we analyze the influence of cell polarity, cell deformations, and intercellular interactions on the 3D dynamics of collective cells.
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Key words:
- cell dynamics /
- collective cell motions /
- 3D model /
- numerical simulation
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