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Updated: Aug 7, 2025

Author Spotlight: Advancing Cell Membrane Biophysics - Exploring Interactions and Challenges Through Experimental and Computational Approaches

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Towards predicting shear-banding instabilities in lipid monolayers.

A R Carotenuto¹, A Gaffney², N Nguyen²

¹Department of Structures for Engineering and Architecture, University of Napoli "Federico II", Italy.

Journal of the Mechanical Behavior of Biomedical Materials

|March 9, 2023

Summary

This study introduces a new hyperelastic model to describe the nonlinear behavior of lipid monolayers. The model successfully predicts the onset of shear banding, a previously unexplained in-plane instability phenomenon in these systems.

Keywords:

Hyperelasticity Langmuir monolayers Lipid monolayers Shear banding

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Area of Science:

Biophysics
Materials Science
Soft Matter Physics

Background:

Langmuir monolayers are crucial for understanding lipid membrane physiology and collapse phenomena.
Existing models adequately describe liquid-expanded phases but fail to capture nonlinear behavior in condensed phases.
Out-of-plane instabilities like buckling and wrinkling are studied, but in-plane shear banding remains theoretically undescribed.

Purpose of the Study:

To develop a theoretical framework for understanding in-plane shear banding in lipid monolayers.
To investigate the material stability and nonlinear mechanical response of lipid monolayers.
To introduce a novel constitutive model for monolayer behavior in the condensed phase.

Main Methods:

Macroscopic description and incremental approach to analyze material stability.
Introduction of a hyperfoam hyperelastic potential to model nonlinear response.
Application of the model to reproduce shear banding under varying conditions.

Main Results:

The hyperfoam hyperelastic potential successfully traces the nonlinear response of monolayers during densification.
The model accurately reproduces the onset of shear banding in lipid systems.
Mechanical properties and strain energy are validated against experimental observations.

Conclusions:

The proposed hyperelastic model provides a theoretical basis for understanding shear banding in lipid monolayers.
This work bridges the gap in describing in-plane instabilities in these systems.
The findings have implications for various biological and material science applications involving lipid membranes.