Three-Dimensional Collective Cell Dynamics Model Basedon Elastic Shells

YU Pengyu; XU Kun; CHEN Pengcheng; LI Bo

doi:10.21656/1000-0887.420264

Volume 42 Issue 10

Oct. 2021

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YU Pengyu, XU Kun, CHEN Pengcheng, LI Bo. Three-Dimensional Collective Cell Dynamics Model Basedon Elastic Shells[J]. Applied Mathematics and Mechanics, 2021, 42(10): 1062-1073. doi: 10.21656/1000-0887.420264

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Three-Dimensional Collective Cell Dynamics Model Basedon Elastic Shells

doi: 10.21656/1000-0887.420264

Institute of Biomechanics and Medical Engineering, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P.R.China

Funds:

The National Natural Science Foundation of China(11922207；11961131005)

Received Date: 2021-09-02
Rev Recd Date: 2021-09-10

Abstract

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.
- cell dynamics,
- collective cell motions,
- 3D model,
- numerical simulation

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References(51)

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