An explicit model to extract viscoelastic properties of cells from AFM force-indentation curves

Summary: Atomic force microscopy (AFM) is widely used for quantifying the mechanical properties of soft materials such as cells. AFM force-indentation curves are conventionally fitted with a Hertzian model to extract elastic properties. These properties solely are, however, insufficient to describe...

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Main Authors: Shada Abuhattum, Dominic Mokbel, Paul Müller, Despina Soteriou, Jochen Guck, Sebastian Aland
Format: Article
Language:English
Published: Elsevier 2022-04-01
Series:iScience
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2589004222002863
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author Shada Abuhattum
Dominic Mokbel
Paul Müller
Despina Soteriou
Jochen Guck
Sebastian Aland
author_facet Shada Abuhattum
Dominic Mokbel
Paul Müller
Despina Soteriou
Jochen Guck
Sebastian Aland
author_sort Shada Abuhattum
collection DOAJ
description Summary: Atomic force microscopy (AFM) is widely used for quantifying the mechanical properties of soft materials such as cells. AFM force-indentation curves are conventionally fitted with a Hertzian model to extract elastic properties. These properties solely are, however, insufficient to describe the mechanical properties of cells. Here, we expand the analysis capabilities to describe the viscoelastic behavior while using the same force-indentation curves. Our model gives an explicit relation of force and indentation and extracts physically meaningful mechanical parameters. We first validated the model on simulated force-indentation curves. Then, we applied the fitting model to the force-indentation curves of two hydrogels with different crosslinking mechanisms. Finally, we characterized HeLa cells in two cell cycle phases, interphase and mitosis, and showed that mitotic cells have a higher apparent elasticity and a lower apparent viscosity. Our study provides a simple method, which can be directly integrated into the standard AFM framework for extracting the viscoelastic properties of materials.
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spelling doaj.art-d43aba00d43a4f1985cf74e4fce46f502022-12-22T00:03:13ZengElsevieriScience2589-00422022-04-01254104016An explicit model to extract viscoelastic properties of cells from AFM force-indentation curvesShada Abuhattum0Dominic Mokbel1Paul Müller2Despina Soteriou3Jochen Guck4Sebastian Aland5Max Planck Institute for the Science of Light and Max-Planck-Zentrum für Physik und Medizin, Staudstr. 2, 91058 Erlangen, Germany; Technische Universität Dresden, Biotechnology Center, Center for Molecular and Cellular Bioengineering, Tatzberg 47-51, 01307 Dresden, Germany; Corresponding authorFakultät Mathematik und Informatik, Technische Universität Freiberg, 09599 Freiberg, GermanyMax Planck Institute for the Science of Light and Max-Planck-Zentrum für Physik und Medizin, Staudstr. 2, 91058 Erlangen, Germany; Technische Universität Dresden, Biotechnology Center, Center for Molecular and Cellular Bioengineering, Tatzberg 47-51, 01307 Dresden, GermanyMax Planck Institute for the Science of Light and Max-Planck-Zentrum für Physik und Medizin, Staudstr. 2, 91058 Erlangen, GermanyMax Planck Institute for the Science of Light and Max-Planck-Zentrum für Physik und Medizin, Staudstr. 2, 91058 Erlangen, Germany; Technische Universität Dresden, Biotechnology Center, Center for Molecular and Cellular Bioengineering, Tatzberg 47-51, 01307 Dresden, GermanyFakultät Mathematik und Informatik, Technische Universität Freiberg, 09599 Freiberg, Germany; Fakultät Informatik/Mathematik, Hochschule für Technik und Wirtschaft Dresden, 01069 Dresden, Germany; Corresponding authorSummary: Atomic force microscopy (AFM) is widely used for quantifying the mechanical properties of soft materials such as cells. AFM force-indentation curves are conventionally fitted with a Hertzian model to extract elastic properties. These properties solely are, however, insufficient to describe the mechanical properties of cells. Here, we expand the analysis capabilities to describe the viscoelastic behavior while using the same force-indentation curves. Our model gives an explicit relation of force and indentation and extracts physically meaningful mechanical parameters. We first validated the model on simulated force-indentation curves. Then, we applied the fitting model to the force-indentation curves of two hydrogels with different crosslinking mechanisms. Finally, we characterized HeLa cells in two cell cycle phases, interphase and mitosis, and showed that mitotic cells have a higher apparent elasticity and a lower apparent viscosity. Our study provides a simple method, which can be directly integrated into the standard AFM framework for extracting the viscoelastic properties of materials.http://www.sciencedirect.com/science/article/pii/S2589004222002863BiophysicsBiomechanicsMaterials science
spellingShingle Shada Abuhattum
Dominic Mokbel
Paul Müller
Despina Soteriou
Jochen Guck
Sebastian Aland
An explicit model to extract viscoelastic properties of cells from AFM force-indentation curves
iScience
Biophysics
Biomechanics
Materials science
title An explicit model to extract viscoelastic properties of cells from AFM force-indentation curves
title_full An explicit model to extract viscoelastic properties of cells from AFM force-indentation curves
title_fullStr An explicit model to extract viscoelastic properties of cells from AFM force-indentation curves
title_full_unstemmed An explicit model to extract viscoelastic properties of cells from AFM force-indentation curves
title_short An explicit model to extract viscoelastic properties of cells from AFM force-indentation curves
title_sort explicit model to extract viscoelastic properties of cells from afm force indentation curves
topic Biophysics
Biomechanics
Materials science
url http://www.sciencedirect.com/science/article/pii/S2589004222002863
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