<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>Cytoskeletal mechanics is a field that heavily relies on mathematical models to interpret experimental data related to forces and deformations. In this paper, we present a novel mathematical model designed specifically for analysing the mechanical properties of liposomes, which serve as model systems for studying biological membranes. Our model takes into account various factors such as stretching, bending, and contact adhesion during atomic force microscopy (AFM) indentation using a spherical tip. By applying our model to liposomes, we demonstrate that these structures exhibit nonlinear behaviour characterized by low stiffness at small deformations. Furthermore, we find that the mechanical response of liposomes is influenced by their size. Additionally, we observe that the presence of adhesion energy contributes to the generation of negative tip forces upon initial contact.</p>
</abstract>

Cytoskeletal mechanics is a field that heavily relies on mathematical models to interpret experimental data related to forces and deformations. In this paper, we present a novel mathematical model designed specifically for analysing the mechanical properties of liposomes, which serve as model systems for studying biological membranes. Our model takes into account various factors such as stretching, bending, and contact adhesion during atomic force microscopy (AFM) indentation using a spherical tip. By applying our model to liposomes, we demonstrate that these structures exhibit nonlinear behaviour characterized by low stiffness at small deformations. Furthermore, we find that the mechanical response of liposomes is influenced by their size. Additionally, we observe that the presence of adhesion energy contributes to the generation of negative tip forces upon initial contact.

Nonlinear Cell Deformation Model

Faculty of Mechanical Engineering, Czech Technical University of Prague

Department of Mechanics, Mechatronics and Biomechanics

Faculty of Biomedical Engineering, Czech Technical University of Prague

Strojnícky časopis - Journal of Mechanical Engineering

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Nonlinear Cell Deformation Model"}

Cytoskeletal mechanics is a field that heavily relies on mathematical models to interpret experimental data related to forces and deformations. In this paper,...

Nonlinear Cell Deformation Model

Published Online: Nov 23, 2023

Page range: 107 - 116

DOI: https://doi.org/10.2478/scjme-2023-0026

Keywords
AFM (atomic force microscopy), cell, deformation, liposomes, mathematical model, tip

© 2023 Katarína Mendová et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Nonlinear Cell Deformation Model

Published Online: Nov 23, 2023

Page range: 107 - 116

DOI: https://doi.org/10.2478/scjme-2023-0026

KeywordsAFM (atomic force microscopy), cell, deformation, liposomes, mathematical model, tip

© 2023 Katarína Mendová et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
AFM (atomic force microscopy), cell, deformation, liposomes, mathematical model, tip