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Cell-center-based model for simulating three-dimensional monolayer tissue deformation.

Tomohiro Mimura¹, Yasuhiro Inoue¹

¹Department of Micro Engineering, Graduate School of Engineering, Kyoto University, 615-8540 Kyoto, Japan.

Journal of Theoretical Biology

|June 14, 2023

Summary

This summary is machine-generated.

Researchers developed a new cell-center model to simulate 3D epithelial tissue deformation. This model accurately captures tissue shape changes, including in-plane and out-of-plane movements, and invagination.

Keywords:

Apical constriction Cell division Cell rearrangement Multicellular dynamics Tissue morphogenesis

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Area of Science:

Biophysics
Computational Biology
Developmental Biology

Background:

Epithelial monolayers form curved tissues in 3D space, with their morphogenesis driven by cell dynamics.
Mathematical modeling is crucial for understanding tissue development, but 3D cell-center models for monolayer deformation are lacking.
The cell nucleus serves as a experimentally observable proxy for the cell center in these models.

Purpose of the Study:

To develop a novel mathematical cell-center model for simulating three-dimensional (3D) monolayer tissue deformation.
To provide a computational tool for investigating the mechanics of epithelial tissue morphogenesis.

Main Methods:

Developed a new mathematical model based on the established cell-center approach.
Simulated 3D monolayer tissue deformation, including in-plane and out-of-plane movements.
Modeled tissue invagination driven by apical constriction.

Main Results:

The developed cell-center model successfully simulated various aspects of 3D monolayer tissue deformation.
The model accurately reproduced in-plane and out-of-plane tissue shape changes.
The simulation confirmed the model's ability to replicate invagination caused by apical constriction.

Conclusions:

The new cell-center model is a viable tool for simulating 3D epithelial monolayer deformation.
This model advances our understanding of tissue morphogenesis by accounting for cell discreteness in 3D.
The findings support the use of cell-center models for studying complex developmental processes.