基于弹性壳的三维群体细胞动力学模型  

A 3D Collective Cell Dynamics Model Based on Elastic Shells

作　　者：于鹏宇 许琨 陈鹏程[1] 李博[1] YU Pengyu;XU Kun;CHEN Pengcheng;LI Bo(Institute of Biomechanics and Medical Engineering,Department of Engineering Mechanics,Tsinghua University,Beijing 100084,P.R.China)

机构地区：[1]清华大学工程力学系生物力学与医学工程研究所,北京100084

出　　处：《应用数学和力学》2021年第10期1062-1073,共12页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(11922207;11961131005)。

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.Collective cell migration occurs in various physiological and pathological processes such as embryonic development,wound healing and tumor invasion.Studies on collective cell dynamics are crucial for understanding the mechanism underlying collective cell migration and its related biological processes.Here,a 3D multicellular model was proposed based on elastically deformable shells.The equations of motion on the vertices of the cell were established.A 3D collective cell dynamics theory involving cell deformations and intercellular contact with adhesion was established,and the corresponding numerical algorithm was developed.Based on the developed dynamic model,the rotation of collective cells confined in a spherical lumen was simulated.The simulation reproduced some experimental observations.Further,the effects of cell polarity,cell deformations and intercellular interactions on the 3D dynamics of collective cells were analyzed.

关 键 词：细胞动力学 群体细胞运动 三维模型 数值模拟 

分 类 号：R318.1[医药卫生—生物医学工程] O39[医药卫生—基础医学]