The analytical solution to the migration of an epithelial monolayer with a circular spreading front and its implications in the gap closure process

Zhao，Tiankai; Yuan，Hongyan

2023

10.1007/s10237-023-01723-4

Biomechanics and Modeling in Mechanobiology   影响因子和分区

1617-7959

1617-7940

The coordinated behaviors of epithelial cells are widely observed in tissue development, such as re-epithelialization, tumor growth, and morphogenesis. In these processes, cells either migrate collectively or organize themselves into specific structures to serve certain purposes. In this work, we study a spreading epithelial monolayer whose migrating front encloses a circular gap in the monolayer center. Such tissue is usually used to mimic the wound healing process in vitro. We model the epithelial sheet as a layer of active viscous polar fluid. With an axisymmetric assumption, the model can be analytically solved under two special conditions, suggesting two possible spreading modes for the epithelial monolayer. Based on these two sets of analytical solutions, we assess the velocity of the spreading front affected by the gap size, the active intercellular contractility, and the purse-string contraction acting on the spreading edge. Several critical values exist in the model parameters for the initiation of the gap closure process, and the purse-string contraction plays a vital role in governing the gap closure kinetics. Finally, the instability of the morphology of the spreading front was studied. Numerical calculations show how the perturbated velocities and the growth rates vary with respect to different model parameters.

Active polar fluid Collective motion Epithelial monolayer Gap closure Instability

SCI ; EI

英语

第一 ; 通讯

Science, Technology and Innovation Commission of Shenzhen Municipality[ZDSYS20210623092005017]

Biophysics ; Engineering

Biophysics ; Engineering, Biomedical

WOS:000982862300001

SPRINGER HEIDELBERG

20231914071031

Cells ; Monolayers ; Tissue regeneration

Biomedical Engineering:461.1 ; Biological Materials and Tissue Engineering:461.2

2-s2.0-85158171123

Scopus

Shenzhen Key Laboratory of Soft Mechanics & Smart Manufacturing,Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,518055,China

Zhao，Tiankai,Yuan，Hongyan. The analytical solution to the migration of an epithelial monolayer with a circular spreading front and its implications in the gap closure process[J]. Biomechanics and Modeling in Mechanobiology,2023,22(4):1349-1363.

Zhao，Tiankai,&Yuan，Hongyan.(2023).The analytical solution to the migration of an epithelial monolayer with a circular spreading front and its implications in the gap closure process.Biomechanics and Modeling in Mechanobiology,22(4),1349-1363.

Zhao，Tiankai,et al."The analytical solution to the migration of an epithelial monolayer with a circular spreading front and its implications in the gap closure process".Biomechanics and Modeling in Mechanobiology 22.4(2023):1349-1363.