The positioning of stress fibers in contractile cells minimizes internal mechanical stress

Fuente: arXiv
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Main Authors: Riedel, Lukas, Wössner, Valentin, Kempf, Dominic, Ziebert, Falko, Bastian, Peter, Schwarz, Ulrich S.
Format: Preprint
Published: 2024
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author Riedel, Lukas
Wössner, Valentin
Kempf, Dominic
Ziebert, Falko
Bastian, Peter
Schwarz, Ulrich S.
author_facet Riedel, Lukas
Wössner, Valentin
Kempf, Dominic
Ziebert, Falko
Bastian, Peter
Schwarz, Ulrich S.
contents The mechanics of animal cells is strongly determined by stress fibers, which are contractile filament bundles that form dynamically in response to extracellular cues. Stress fibers allow the cell to adapt its mechanics to environmental conditions and to protect it from structural damage. While the physical description of single stress fibers is well-developed, much less is known about their spatial distribution on the level of whole cells. Here, we combine a finite element method for one-dimensional fibers embedded in an elastic bulk medium with dynamical rules for stress fiber formation based on genetic algorithms. We postulate that their main goal is to achieve minimal mechanical stress in the bulk material with as few fibers as possible. The fiber positions and configurations resulting from this optimization task alone are in good agreement with those found in experiments where cells in 3D-scaffolds were mechanically strained at one attachment point. For optimized configurations, we find that stress fibers typically run through the cell in a diagonal fashion, similar to reinforcement strategies used for composite material.
format Preprint
id arxiv_https___arxiv_org_abs_2407_07797
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The positioning of stress fibers in contractile cells minimizes internal mechanical stress
Riedel, Lukas
Wössner, Valentin
Kempf, Dominic
Ziebert, Falko
Bastian, Peter
Schwarz, Ulrich S.
Biological Physics
Soft Condensed Matter
Cell Behavior
Subcellular Processes
The mechanics of animal cells is strongly determined by stress fibers, which are contractile filament bundles that form dynamically in response to extracellular cues. Stress fibers allow the cell to adapt its mechanics to environmental conditions and to protect it from structural damage. While the physical description of single stress fibers is well-developed, much less is known about their spatial distribution on the level of whole cells. Here, we combine a finite element method for one-dimensional fibers embedded in an elastic bulk medium with dynamical rules for stress fiber formation based on genetic algorithms. We postulate that their main goal is to achieve minimal mechanical stress in the bulk material with as few fibers as possible. The fiber positions and configurations resulting from this optimization task alone are in good agreement with those found in experiments where cells in 3D-scaffolds were mechanically strained at one attachment point. For optimized configurations, we find that stress fibers typically run through the cell in a diagonal fashion, similar to reinforcement strategies used for composite material.
title The positioning of stress fibers in contractile cells minimizes internal mechanical stress
topic Biological Physics
Soft Condensed Matter
Cell Behavior
Subcellular Processes
url https://arxiv.org/abs/2407.07797