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Updated: Jul 6, 2025

The Mechanics of Poro-Elastic Contractile Actomyosin Networks As a Model System of the Cell Cytoskeleton
Published on: March 10, 2023
Geometric control by active mechanics of epithelial gap closure
1MOX, Dipartimento di Matematica, Politecnico di Milano, piazza Leonardo da Vinci 32, 20133 Milano, Italy. pasquale.ciarletta@polimi.it.
This study models epithelial wound healing using a new diffuse interface approach, revealing how cell crawling and supracellular tension control gap closure dynamics. The findings align with biological experiments and microscopy measurements.
Area of Science:
- Biophysics
- Cell Biology
- Mathematical Biology
Background:
- Epithelial wound healing is a crucial self-repair process for tissue integrity.
- Understanding the biophysical mechanisms driving gap closure is essential.
Purpose of the Study:
- To develop a novel diffuse interface model for epithelial gap closure.
- To investigate the roles of lamellipodia-driven crawling and actomyosin tension in closure dynamics.
Main Methods:
- Derivation of a diffuse interface model using a variational principle in non-equilibrium thermodynamics.
- Incorporation of active features (lamellipodia, actomyosin cable) as Korteweg forces.
- Asymptotic analysis to derive sharp interface limits and interfacial relations (Gibbs-Thompson).
- Finite element simulations to validate model predictions against experimental data.
Main Results:
- The model accurately predicts closure dynamics and edge morphology, matching experimental observations.
- Simulations show good qualitative agreement with traction force microscopy measurements.
- Identified the geometrical control of gap closure by active, chemically activated forces at the gap edge.
Conclusions:
- The diffuse interface approach provides a robust framework for modeling epithelial wound healing.
- Active cellular forces, particularly supracellular tension, play a significant role in regulating wound closure.
- The study offers insights into the interplay between mechanics and chemistry in biological self-repair.
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