1
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Chisolm SJ, Guo E, Subramaniam V, Schulze KD, Angelini TE. Elastic modulus versus cell packing density in MDCK epithelial monolayers. J Biomech 2025; 184:112648. [PMID: 40157056 DOI: 10.1016/j.jbiomech.2025.112648] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/05/2024] [Revised: 02/18/2025] [Accepted: 03/24/2025] [Indexed: 04/01/2025]
Abstract
The elastic moduli of tissues are connected to their states of health and function. The epithelial monolayer is a simple, minimal, tissue model that is often used to gain understanding of mechanical behavior at the cellular or multi-cellular scale. Here we investigate how the elastic modulus of Madin Darby Canine Kidney (MDCK) cells depends on their packing density. Rather than measuring elasticity at the sub-cellular scale with local probes, we characterize the monolayer at the multi-cellular scale, as one would a thin slab of elastic material. We use a micro-indentation system to apply gentle forces to the apical side of MDCK monolayers, applying a normal force to approximately 100 cells in each experiment. In low-density confluent monolayers, we find that the elastic modulus decreases with increasing cell density. At high densities, the modulus appears to plateau. This finding will help guide our understanding of known collective behaviors in epithelial monolayers and other tissues where variations in cell packing density are correlated with cell motion.
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Affiliation(s)
- Steven J Chisolm
- Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL 32605, United States.
| | - Emily Guo
- Department of Mechanical Engineering, Auburn University, Auburn, AL 36849, United States.
| | - Vignesh Subramaniam
- Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL 32605, United States.
| | - Kyle D Schulze
- Department of Mechanical Engineering, Auburn University, Auburn, AL 36849, United States.
| | - Thomas E Angelini
- Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL 32605, United States; Department of Materials Science and Engineering, University of Florida, Gainesville, FL 32605, United States; J. Crayton Pruitt Family Department of Biomedical Engineering, University of Florida, Gainesville, FL 32605, United States.
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2
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Pesen T, Akgun B, Unlu MB. Measuring the effect of repetitive stretching on the deformability of human red blood cells using optical tweezers. Sci Rep 2025; 15:9060. [PMID: 40097548 PMCID: PMC11914483 DOI: 10.1038/s41598-025-93288-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/27/2024] [Accepted: 03/05/2025] [Indexed: 03/19/2025] Open
Abstract
Mechanical features of cells play a crucial role in many biological processes such as crawling, proliferation, spreading, stretching, contracting, division, and programmed cell death. The loss of cell viscoelasticity underlines different types of diseases such as cancer, sickle cell, malaria, and diabetes mellitus. To understand the loss of viscoelasticity, mechanical responses of various kinds of cells to stress or strain are under investigation. Especially red blood cells (RBCs) or erythrocytes are one of the simple structured cells such that the effects of stress or strain could be easily assessed. With their viscoelastic nature, they can deform by preserving cell integrity when passing through blood vessels that are smaller than their size. In this study, we investigated the mechanical response of RBCs under repetitive stretching-relaxation cycles and examined some of the universal cytoskeleton laws at the single cell level over the whole body. For this, the individual RBCs were exposed to repetitive biaxial stretch-relaxation cycles of 5 s duration by optical tweezers to assess their mechanical response. According to the findings, the cells became stiffer with each stretch and became completely undeformable after a certain number of stretch-relaxation cycles. We observed that with the increasing number of stretching cycles, cell stiffness changed as a sign of weak power law, implying cell rheology is scale-free and decay times were increased, showing the transition from fast to slow regime. In addition, the appearance of the cells became non-uniform with darker areas in some parts and highly elongated shape in the most extreme cases.
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Affiliation(s)
- Tuna Pesen
- Department of Physics, Boğaziçi University, 34342, Beşiktaş, İstanbul, Türkiye.
- Center for Life Sciences and Technologies, Boğaziçi University, 34342, Beşiktaş, İstanbul, Türkiye.
| | - Bora Akgun
- Department of Physics, Boğaziçi University, 34342, Beşiktaş, İstanbul, Türkiye
- Center for Life Sciences and Technologies, Boğaziçi University, 34342, Beşiktaş, İstanbul, Türkiye
| | - Mehmet Burcin Unlu
- Faculty of Aviation and Aeronautical Sciences, Özyeğin University, 34794, Çekmeköy, İstanbul, Türkiye
- Faculty of Engineering, Özyeğin University, 34794, Çekmeköy, İstanbul, Türkiye
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3
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Chisolm SJ, Guo E, Subramaniam V, Schulze KD, Angelini TE. Transitions between cooperative and crowding-dominated collective motion in non-jammed MDCK monolayers. Cells Dev 2025; 181:203989. [PMID: 39709146 DOI: 10.1016/j.cdev.2024.203989] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/25/2024] [Revised: 11/13/2024] [Accepted: 12/18/2024] [Indexed: 12/23/2024]
Abstract
Transitions between solid-like and fluid-like states in living tissues have been found in steps of embryonic development and in stages of disease progression. Our current understanding of these transitions has been guided by experimental and theoretical investigations focused on how motion becomes arrested with increased mechanical coupling between cells, typically as a function of packing density or cell cohesiveness. However, cells actively respond to externally applied forces by contracting after a time delay, so it is possible that at some packing densities or levels of cell cohesiveness, mechanical coupling stimulates cell motion instead of suppressing it. Here we report our findings that at low densities and within multiple ranges of cell cohesiveness, cell migration speeds increase with these measures of mechanical coupling. Our observations run counter to our intuition that cell motion will be suppressed by increasingly packing or sticking cells together and may provide new insight into biological processes involving motion in dense cell populations.
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Affiliation(s)
- Steven J Chisolm
- Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL 32605, United States of America
| | - Emily Guo
- Department of Mechanical Engineering, Auburn University, Auburn, AL 36849, United States of America
| | - Vignesh Subramaniam
- Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL 32605, United States of America
| | - Kyle D Schulze
- Department of Mechanical Engineering, Auburn University, Auburn, AL 36849, United States of America
| | - Thomas E Angelini
- Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL 32605, United States of America; Department of Materials Science and Engineering, University of Florida, Gainesville, FL 32605, United States of America; J. Crayton Pruitt Family Department of Biomedical Engineering, University of Florida, Gainesville, FL 32605, United States of America.
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4
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Stamenović D. Cellular solids and prestressed affine networks as models of the elastic behavior of soft biological structures. Biomech Model Mechanobiol 2025; 24:1-15. [PMID: 39407078 DOI: 10.1007/s10237-024-01894-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/27/2024] [Accepted: 09/25/2024] [Indexed: 02/24/2025]
Abstract
We reviewed two microstructural models, cellular solid models and prestressed affine network models, that have been used previously in studies of elastic behavior of soft biological materials. These models provide simple and mathematically transparent equations that can be used to interpret experimental data and to obtain quantitative predictions of the elastic properties of biological structures. In both models, volumetric density and elastic properties of the microstructure are key determinants of the macroscopic elastic properties. In the prestressed network model, geometrical rearrangement of the microstructure (kinematic stiffness) is also important. As examples of application of these models, we considered the shear behavior of the cytoskeleton of adherent cells, of the collagen network of articular cartilage, and of the lung parenchymal network since their ability to resist shear is important for their normal biological and physiological functions. All three networks carry a pre-existing stress (prestress). We predicted their shear moduli using the microstructural models and compared those predictions with existing experimental data. Prestressed network models of the cytoskeleton and of the lung parenchyma provided a better correspondence to experimental data than cellular solid models. Both cellular solid and prestressed network models of the cartilage collagen network provided reasonable agreements with experimental values. These findings suggested that the kinematic stiffness and material stiffness of microstructural elements were both important determinants of the shear modulus of the cytoskeleton and of the lung parenchyma, whereas elasticity of collagen fibrils had a predominant role in the cartilage shear behavior.
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Affiliation(s)
- Dimitrije Stamenović
- Department of Biomedical Engineering and Division of Materials Science & Engineering, Boston University, 44 Cummington Mall, Boston, MA, 02215, USA.
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5
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Goel T, Adams EM, Bialas AL, Tran CM, Rowe T, Martin S, Chandler M, Schubert J, Diamond PH, Collins EMS. Nonlinear elasticity and short-range mechanical coupling govern the rate and symmetry of mouth opening in Hydra. Proc Biol Sci 2024; 291:20232123. [PMID: 38378148 PMCID: PMC10878823 DOI: 10.1098/rspb.2023.2123] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/20/2023] [Accepted: 01/18/2024] [Indexed: 02/22/2024] Open
Abstract
Hydra has a tubular bilayered epithelial body column with a dome-shaped head on one end and a foot on the other. Hydra lacks a permanent mouth: its head epithelium is sealed. Upon neuronal activation, a mouth opens at the apex of the head which can exceed the body column diameter in seconds, allowing Hydra to ingest prey larger than itself. While the kinematics of mouth opening are well characterized, the underlying mechanism is unknown. We show that Hydra mouth opening is generated by independent local contractions that require tissue-level coordination. We model the head epithelium as an active viscoelastic nonlinear spring network. The model reproduces the size, timescale and symmetry of mouth opening. It shows that radial contractions, travelling inwards from the outer boundary of the head, pull the mouth open. Nonlinear elasticity makes mouth opening larger and faster, contrary to expectations. The model correctly predicts changes in mouth shape in response to external forces. By generating innervated : nerve-free chimera in experiments and simulations, we show that nearest-neighbour mechanical signalling suffices to coordinate mouth opening. Hydra mouth opening shows that in the absence of long-range chemical or neuronal signals, short-range mechanical coupling is sufficient to produce long-range order in tissue deformations.
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Affiliation(s)
- Tapan Goel
- Department of Physics, University of California San Diego, La Jolla, CA 92093, USA
- School of Biological Sciences, Georgia Institute of Technology, Atlanta, GA 30332, USA
- Department of Biology, University of Maryland, College Park, MD 20742, USA
| | - Ellen M. Adams
- Department of Biology, Swarthmore College, Swarthmore, PA 19081, USA
| | - April L. Bialas
- Department of Biology, Swarthmore College, Swarthmore, PA 19081, USA
| | - Cassidy M. Tran
- Division of Biological Sciences, University of California San Diego, La Jolla, CA 92093, USA
| | - Trevor Rowe
- Department of Physics, University of California San Diego, La Jolla, CA 92093, USA
| | - Sara Martin
- Department of Biology, Swarthmore College, Swarthmore, PA 19081, USA
| | - Maia Chandler
- Department of Biology, Swarthmore College, Swarthmore, PA 19081, USA
| | - Johanna Schubert
- Department of Biology, Swarthmore College, Swarthmore, PA 19081, USA
| | - Patrick H. Diamond
- Department of Physics, University of California San Diego, La Jolla, CA 92093, USA
| | - Eva-Maria S. Collins
- Department of Physics, University of California San Diego, La Jolla, CA 92093, USA
- Department of Biology, Swarthmore College, Swarthmore, PA 19081, USA
- Department of Neuroscience, Perelman School of Medicine, University of Pennsylvania, Philadelphia, PA, USA
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6
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Fielding SM, Cochran JO, Huang J, Bi D, Marchetti MC. Constitutive model for the rheology of biological tissue. Phys Rev E 2023; 108:L042602. [PMID: 37978678 DOI: 10.1103/physreve.108.l042602] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/07/2022] [Accepted: 09/13/2023] [Indexed: 11/19/2023]
Abstract
The rheology of biological tissue is key to processes such as embryo development, wound healing, and cancer metastasis. Vertex models of confluent tissue monolayers have uncovered a spontaneous liquid-solid transition tuned by cell shape; and a shear-induced solidification transition of an initially liquidlike tissue. Alongside this jamming/unjamming behavior, biological tissue also displays an inherent viscoelasticity, with a slow time and rate-dependent mechanics. With this motivation, we combine simulations and continuum theory to examine the rheology of the vertex model in nonlinear shear across a full range of shear rates from quastistatic to fast, elucidating its nonlinear stress-strain curves after the inception of shear of finite rate, and its steady state flow curves of stress as a function of strain rate. We formulate a rheological constitutive model that couples cell shape to flow and captures both the tissue solid-liquid transition and its rich linear and nonlinear rheology.
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Affiliation(s)
- Suzanne M Fielding
- Department of Physics, Durham University, Science Laboratories, South Road, Durham DH1 3LE, UK
| | - James O Cochran
- Department of Physics, Durham University, Science Laboratories, South Road, Durham DH1 3LE, UK
| | - Junxiang Huang
- Department of Physics, Northeastern University, Massachusetts 02115, USA
| | - Dapeng Bi
- Department of Physics, Northeastern University, Massachusetts 02115, USA
| | - M Cristina Marchetti
- Department of Physics, University of California, Santa Barbara, California 93106, USA
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Adjustable Thermo-Responsive, Cell-Adhesive Tissue Engineering Scaffolds for Cell Stimulation through Periodic Changes in Culture Temperature. Int J Mol Sci 2022; 24:ijms24010572. [PMID: 36614014 PMCID: PMC9820143 DOI: 10.3390/ijms24010572] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/11/2022] [Revised: 12/21/2022] [Accepted: 12/26/2022] [Indexed: 12/31/2022] Open
Abstract
A three-dimensional (3D) scaffold ideally provides hierarchical complexity and imitates the chemistry and mechanical properties of the natural cell environment. Here, we report on a stimuli-responsive photo-cross-linkable resin formulation for the fabrication of scaffolds by continuous digital light processing (cDLP), which allows for the mechano-stimulation of adherent cells. The resin comprises a network-forming trifunctional acrylate ester monomer (trimethylolpropane triacrylate, or TMPTA), N-isopropyl acrylamide (NiPAAm), cationic dimethylaminoethyl acrylate (DMAEA) for enhanced cell interaction, and 4-acryloyl morpholine (AMO) to adjust the phase transition temperature (Ttrans) of the equilibrium swollen cross-polymerized scaffold. With glycofurol as a biocompatible solvent, controlled three-dimensional structures were fabricated and the transition temperatures were adjusted by resin composition. The effects of the thermally induced mechano-stimulation were investigated with mouse fibroblasts (L929) and myoblasts (C2C12) on printed constructs. Periodic changes in the culture temperature stimulated the myoblast proliferation.
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8
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Doha U, Aydin O, Joy MSH, Emon B, Drennan W, Saif MTA. Disorder to order transition in cell-ECM systems mediated by cell-cell collective interactions. Acta Biomater 2022; 154:290-301. [PMID: 36243372 DOI: 10.1016/j.actbio.2022.10.012] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/19/2022] [Revised: 10/04/2022] [Accepted: 10/05/2022] [Indexed: 12/14/2022]
Abstract
Cells in functional tissues execute various collective activities to achieve diverse ordered processes including wound healing, organogenesis, and tumor formation. How a group of individually operating cells initiate such complex collective processes is still not clear. Here, we report that cells in 3D extracellular matrix (ECM) initiate collective behavior by forming cell-ECM network when the cells are within a critical distance from each other. We employed compaction of free-floating (FF) 3D collagen gels with embedded fibroblasts as a model system to study collective behavior and found a sharp transition in the amount of compaction as a function of cell-cell distance, reminiscent of phase transition in materials. Within the critical distance, cells remodel the ECM irreversibly, and form dense collagen bridges between each other resulting in the formation of a network. Beyond the critical distance, cells exhibit Brownian dynamics and only deform the matrix reversibly in a transient manner with no memory of history, thus maintaining the disorder. Network formation seems to be a necessary and sufficient condition to trigger collective behavior and a disorder-to order transition. STATEMENT OF SIGNIFICANCE: Macroscopic compaction of in vitro collagen gels is mediated by collective mechanical interaction of cells. Previous studies on cell-induced ECM compaction suggest the existence of a critical cell density and phase transition associated with this phenomenon. Cell-mediated mechanical remodeling and global compaction of ECM has mostly been studied at steady state. Our study reveals a link between a transition in cell dynamics and material microstructure as cells collectively compact collagen gels. It underscores the significance of temporal evolution of these cell-ECM systems in understanding the mechanism of such collective action and provides insights on the process from a mechanistic viewpoint. These insights can be valuable in understanding dynamic pathological processes such as, cancer progression and wound healing, as well as engineering biomaterials and regenerative tissue mimics.
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Affiliation(s)
- Umnia Doha
- Department of Mechanical Science and Engineering, University of Illinois Urbana Champaign, United States
| | - Onur Aydin
- Department of Mechanical Science and Engineering, University of Illinois Urbana Champaign, United States
| | - Md Saddam Hossain Joy
- Department of Mechanical Science and Engineering, University of Illinois Urbana Champaign, United States
| | - Bashar Emon
- Department of Mechanical Science and Engineering, University of Illinois Urbana Champaign, United States
| | - William Drennan
- Department of Mechanical Science and Engineering, University of Illinois Urbana Champaign, United States
| | - M Taher A Saif
- Department of Mechanical Science and Engineering, University of Illinois Urbana Champaign, United States.
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9
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Pajic-Lijakovic I, Milivojevic M. The role of viscoelasticity in long time cell rearrangement. PROGRESS IN BIOPHYSICS AND MOLECULAR BIOLOGY 2022; 173:60-71. [PMID: 35598807 DOI: 10.1016/j.pbiomolbio.2022.05.005] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/13/2021] [Revised: 05/06/2022] [Accepted: 05/16/2022] [Indexed: 06/15/2023]
Abstract
Cell rearrangement caused by collective cell migration (CCM) during free expansion of epithelial monolayers has become a landmark in our current understanding of fundamental biological processes such as tissue development, regeneration, wound healing or cancer invasion. Cell spreading causes formation of mechanical waves which has a feedback effect on cell rearrangement and can lead to the cell jamming state. The mechanical waves describe oscillatory changes in cell velocity, as well as, the rheological parameters that affect them. The velocity oscillations, obtained at a time scale of hours, are in the form of forward and backward flows. Collision of forward and backward flows can induce an increase in the cell compressive stress accompanied with cell packing density which have a feedback impact on cell mobility, tissue viscoelasticity and alters the tissue stiffness. The tissue stiffness depends on the cell packing density and the active/passive (i.e. migrating/resting) state of single cells and can be used as an indicator of cell jamming state transition. Since cell stiffness can be measured it may directly show in which state the multicellular system is. In this work a review of existing modeling approaches is given along with assortment of published experimental findings, in order to invite experimentalists to test given theoretical considerations in multicellular systems.
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Affiliation(s)
- Ivana Pajic-Lijakovic
- University of Belgrade, Faculty of Technology and Metallurgy, Department of Chemical Engineering, Karnegijeva 4, Belgrade, 11000, Serbia.
| | - Milan Milivojevic
- University of Belgrade, Faculty of Technology and Metallurgy, Department of Chemical Engineering, Karnegijeva 4, Belgrade, 11000, Serbia
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10
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Bashir KMI, Lee S, Jung DH, Basu SK, Cho MG, Wierschem A. Narrow-Gap Rheometry: A Novel Method for Measuring Cell Mechanics. Cells 2022; 11:2010. [PMID: 35805094 PMCID: PMC9265971 DOI: 10.3390/cells11132010] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/26/2022] [Revised: 06/21/2022] [Accepted: 06/21/2022] [Indexed: 12/18/2022] Open
Abstract
The viscoelastic properties of a cell cytoskeleton contain abundant information about the state of a cell. Cells show a response to a specific environment or an administered drug through changes in their viscoelastic properties. Studies of single cells have shown that chemical agents that interact with the cytoskeleton can alter mechanical cell properties and suppress mitosis. This envisions using rheological measurements as a non-specific tool for drug development, the pharmacological screening of new drug agents, and to optimize dosage. Although there exists a number of sophisticated methods for studying mechanical properties of single cells, studying concentration dependencies is difficult and cumbersome with these methods: large cell-to-cell variations demand high repetition rates to obtain statistically significant data. Furthermore, method-induced changes in the cell mechanics cannot be excluded when working in a nonlinear viscoelastic range. To address these issues, we not only compared narrow-gap rheometry with commonly used single cell techniques, such as atomic force microscopy and microfluidic-based approaches, but we also compared existing cell monolayer studies used to estimate cell mechanical properties. This review provides insight for whether and how narrow-gap rheometer could be used as an efficient drug screening tool, which could further improve our current understanding of the mechanical issues present in the treatment of human diseases.
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Affiliation(s)
- Khawaja Muhammad Imran Bashir
- German Engineering Research and Development Center, LSTME-Busan Branch, Busan 46742, Korea; (K.M.I.B.); (S.L.); (D.H.J.); (M.-G.C.)
| | - Suhyang Lee
- German Engineering Research and Development Center, LSTME-Busan Branch, Busan 46742, Korea; (K.M.I.B.); (S.L.); (D.H.J.); (M.-G.C.)
- Institute of Fluid Mechanics, Friedrich-Alexander-University Erlangen-Nürnberg (FAU), 91058 Erlangen, Germany;
| | - Dong Hee Jung
- German Engineering Research and Development Center, LSTME-Busan Branch, Busan 46742, Korea; (K.M.I.B.); (S.L.); (D.H.J.); (M.-G.C.)
- Division of Energy and Bioengineering, Dongseo University, Busan 47011, Korea
| | - Santanu Kumar Basu
- Institute of Fluid Mechanics, Friedrich-Alexander-University Erlangen-Nürnberg (FAU), 91058 Erlangen, Germany;
| | - Man-Gi Cho
- German Engineering Research and Development Center, LSTME-Busan Branch, Busan 46742, Korea; (K.M.I.B.); (S.L.); (D.H.J.); (M.-G.C.)
- Division of Energy and Bioengineering, Dongseo University, Busan 47011, Korea
| | - Andreas Wierschem
- German Engineering Research and Development Center, LSTME-Busan Branch, Busan 46742, Korea; (K.M.I.B.); (S.L.); (D.H.J.); (M.-G.C.)
- Institute of Fluid Mechanics, Friedrich-Alexander-University Erlangen-Nürnberg (FAU), 91058 Erlangen, Germany;
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11
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Mary G, Mazuel F, Nier V, Fage F, Nagle I, Devaud L, Bacri JC, Asnacios S, Asnacios A, Gay C, Marcq P, Wilhelm C, Reffay M. All-in-one rheometry and nonlinear rheology of multicellular aggregates. Phys Rev E 2022; 105:054407. [PMID: 35706238 DOI: 10.1103/physreve.105.054407] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/13/2021] [Accepted: 03/24/2022] [Indexed: 06/15/2023]
Abstract
Tissues are generally subjected to external stresses, a potential stimulus for their differentiation or remodeling. While single-cell rheology has been extensively studied leading to controversial results about nonlinear response, mechanical tissue behavior under external stress is still poorly understood, in particular, the way individual cell properties translate at the tissue level. Herein, using magnetic cells we were able to form perfectly monitored cellular aggregates (magnetic molding) and to deform them under controlled applied stresses over a wide range of timescales and amplitudes (magnetic rheometer). We explore the rheology of these minimal tissue models using both standard assays (creep and oscillatory response) as well as an innovative broad spectrum solicitation coupled with inference analysis thus being able to determine in a single experiment the best rheological model. We find that multicellular aggregates exhibit a power-law response with nonlinearities leading to tissue stiffening at high stress. Moreover, we reveal the contribution of intracellular (actin network) and intercellular components (cell-cell adhesions) in this aggregate rheology.
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Affiliation(s)
- Gaëtan Mary
- Laboratoire Matière et Systèmes Complexes, UMR 7057, CNRS and Université de Paris Cité, 75205 Paris cedex 13, France
| | - François Mazuel
- Laboratoire Matière et Systèmes Complexes, UMR 7057, CNRS and Université de Paris Cité, 75205 Paris cedex 13, France
| | - Vincent Nier
- Laboratoire Physico Chimie Curie, UMR 168, CNRS, Institut Curie, PSL University, Sorbonne Université, 75005 Paris, France
| | - Florian Fage
- Laboratoire Matière et Systèmes Complexes, UMR 7057, CNRS and Université de Paris Cité, 75205 Paris cedex 13, France
| | - Irène Nagle
- Laboratoire Matière et Systèmes Complexes, UMR 7057, CNRS and Université de Paris Cité, 75205 Paris cedex 13, France
| | - Louisiane Devaud
- Laboratoire Matière et Systèmes Complexes, UMR 7057, CNRS and Université de Paris Cité, 75205 Paris cedex 13, France
| | - Jean-Claude Bacri
- Laboratoire Matière et Systèmes Complexes, UMR 7057, CNRS and Université de Paris Cité, 75205 Paris cedex 13, France
| | - Sophie Asnacios
- Laboratoire Matière et Systèmes Complexes, UMR 7057, CNRS and Université de Paris Cité, 75205 Paris cedex 13, France
- Faculty of Science and Engineering, UFR 925 Physics, Sorbonne Université, Paris France
| | - Atef Asnacios
- Laboratoire Matière et Systèmes Complexes, UMR 7057, CNRS and Université de Paris Cité, 75205 Paris cedex 13, France
| | - Cyprien Gay
- Laboratoire Matière et Systèmes Complexes, UMR 7057, CNRS and Université de Paris Cité, 75205 Paris cedex 13, France
| | - Philippe Marcq
- Laboratoire Physico Chimie Curie, UMR 168, CNRS, Institut Curie, PSL University, Sorbonne Université, 75005 Paris, France
- Faculty of Science and Engineering, UFR 925 Physics, Sorbonne Université, Paris France
- Laboratoire Physique et Mécanique des Matériaux Hétérogènes, CNRS, ESPCI Paris, PSL University, Sorbonne Université, Université de Paris Cité, 75005 Paris, France
| | - Claire Wilhelm
- Laboratoire Matière et Systèmes Complexes, UMR 7057, CNRS and Université de Paris Cité, 75205 Paris cedex 13, France
- Laboratoire Physico Chimie Curie, UMR 168, CNRS, Institut Curie, PSL University, Sorbonne Université, 75005 Paris, France
| | - Myriam Reffay
- Laboratoire Matière et Systèmes Complexes, UMR 7057, CNRS and Université de Paris Cité, 75205 Paris cedex 13, France
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12
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Huang J, Cochran JO, Fielding SM, Marchetti MC, Bi D. Shear-Driven Solidification and Nonlinear Elasticity in Epithelial Tissues. PHYSICAL REVIEW LETTERS 2022; 128:178001. [PMID: 35570431 DOI: 10.1103/physrevlett.128.178001] [Citation(s) in RCA: 14] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/29/2021] [Accepted: 03/31/2022] [Indexed: 06/15/2023]
Abstract
Biological processes, from morphogenesis to tumor invasion, spontaneously generate shear stresses inside living tissue. The mechanisms that govern the transmission of mechanical forces in epithelia and the collective response of the tissue to bulk shear deformations remain, however, poorly understood. Using a minimal cell-based computational model, we investigate the constitutive relation of confluent tissues under simple shear deformation. We show that an initially undeformed fluidlike tissue acquires finite rigidity above a critical applied strain. This is akin to the shear-driven rigidity observed in other soft matter systems. Interestingly, shear-driven rigidity can be understood by a critical scaling analysis in the vicinity of the second order critical point that governs the liquid-solid transition of the undeformed system. We further show that a solidlike tissue responds linearly only to small strains and but then switches to a nonlinear response at larger stains, with substantial stiffening. Finally, we propose a mean-field formulation for cells under shear that offers a simple physical explanation of shear-driven rigidity and nonlinear response in a tissue.
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Affiliation(s)
- Junxiang Huang
- Department of Physics, Northeastern University, Boston, Massachusetts 02115, USA
| | - James O Cochran
- Department of Physics, Durham University, Science Laboratories, South Road, Durham DH1 3LE, United Kingdom
| | - Suzanne M Fielding
- Department of Physics, Durham University, Science Laboratories, South Road, Durham DH1 3LE, United Kingdom
| | - M Cristina Marchetti
- Department of Physics, University of California, Santa Barbara, California 93106, USA
| | - Dapeng Bi
- Department of Physics, Northeastern University, Boston, Massachusetts 02115, USA
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13
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Gupta SK, Lennon KR, Joens MA, Bandi H, Van Galen M, Han Y, Tang W, Li Y, Wasserman SC, Swan JW, Guo M. Optical tweezer measurements of asymptotic nonlinearities in complex fluids. Phys Rev E 2022; 104:064604. [PMID: 35030853 DOI: 10.1103/physreve.104.064604] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/13/2021] [Accepted: 11/11/2021] [Indexed: 01/07/2023]
Abstract
This article presents micro-medium-amplitude oscillatory shear (μMAOS), a method to measure the frequency-dependent micromechanical properties of soft materials in the asymptotically nonlinear regime using optical tweezers. We have developed a theoretical framework to extract these nonlinear mechanical properties of the material from experimental measurements and also proposed a physical interpretation of the third-order nonlinearities measured in single-tone oscillatory tests. We validate the method using a well-characterized surfactant solution of wormlike micelles, and subsequently employ this technique to demonstrate that the cytoplasm of a living cell undergoes strain softening and shear thinning when locally subjected to weakly nonlinear oscillatory deformations.
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Affiliation(s)
- Satish Kumar Gupta
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - Kyle R Lennon
- Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - Mary A Joens
- Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - Hari Bandi
- Operations Research Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - Martijn Van Galen
- Physical Chemistry and Soft Matter, Wageningen University & Research, NL-6708 WE Wageningen, The Netherlands
| | - YuLong Han
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - Wenhui Tang
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - Yiwei Li
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - Steven Charles Wasserman
- Department of Biological Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - James W Swan
- Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - Ming Guo
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
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14
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Bhide S, Gombalova D, Mönke G, Stegmaier J, Zinchenko V, Kreshuk A, Belmonte JM, Leptin M. Mechanical competition alters the cellular interpretation of an endogenous genetic program. J Cell Biol 2021; 220:212605. [PMID: 34449835 PMCID: PMC8406609 DOI: 10.1083/jcb.202104107] [Citation(s) in RCA: 18] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/24/2021] [Revised: 07/26/2021] [Accepted: 07/30/2021] [Indexed: 12/16/2022] Open
Abstract
The intrinsic genetic program of a cell is not sufficient to explain all of the cell's activities. External mechanical stimuli are increasingly recognized as determinants of cell behavior. In the epithelial folding event that constitutes the beginning of gastrulation in Drosophila, the genetic program of the future mesoderm leads to the establishment of a contractile actomyosin network that triggers apical constriction of cells and thereby tissue folding. However, some cells do not constrict but instead stretch, even though they share the same genetic program as their constricting neighbors. We show here that tissue-wide interactions force these cells to expand even when an otherwise sufficient amount of apical, active actomyosin is present. Models based on contractile forces and linear stress-strain responses do not reproduce experimental observations, but simulations in which cells behave as ductile materials with nonlinear mechanical properties do. Our models show that this behavior is a general emergent property of actomyosin networks in a supracellular context, in accordance with our experimental observations of actin reorganization within stretching cells.
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Affiliation(s)
- Sourabh Bhide
- Director's Research Unit, European Molecular Biology Laboratory, Heidelberg, Germany.,Collaboration for Joint PhD Degree between European Molecular Biology Laboratory and Faculty of Biosciences, Heidelberg University, Heidelberg, Germany
| | - Denisa Gombalova
- Director's Research Unit, European Molecular Biology Laboratory, Heidelberg, Germany.,Collaboration for Joint PhD Degree between European Molecular Biology Laboratory and Faculty of Biosciences, Heidelberg University, Heidelberg, Germany
| | - Gregor Mönke
- Director's Research Unit, European Molecular Biology Laboratory, Heidelberg, Germany
| | - Johannes Stegmaier
- Institute of Imaging and Computer Vision, Rheinisch-Westfälische Technische Hochschule Aachen University, Aachen, Germany
| | - Valentyna Zinchenko
- Collaboration for Joint PhD Degree between European Molecular Biology Laboratory and Faculty of Biosciences, Heidelberg University, Heidelberg, Germany.,Cell Biology and Biophysics Unit, European Molecular Biology Laboratory, Heidelberg, Germany
| | - Anna Kreshuk
- Cell Biology and Biophysics Unit, European Molecular Biology Laboratory, Heidelberg, Germany
| | - Julio M Belmonte
- Department of Physics, North Carolina State University, Raleigh, NC.,Quantitative and Computational Developmental Biology Cluster, North Carolina State University, Raleigh, NC
| | - Maria Leptin
- Director's Research Unit, European Molecular Biology Laboratory, Heidelberg, Germany.,European Molecular Biology Organization, Heidelberg, Germany
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15
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Hang JT, Kang Y, Xu GK, Gao H. A hierarchical cellular structural model to unravel the universal power-law rheological behavior of living cells. Nat Commun 2021; 12:6067. [PMID: 34663821 PMCID: PMC8523554 DOI: 10.1038/s41467-021-26283-y] [Citation(s) in RCA: 36] [Impact Index Per Article: 9.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/26/2021] [Accepted: 09/27/2021] [Indexed: 11/15/2022] Open
Abstract
Living cells are a complex soft material with fascinating mechanical properties. A striking feature is that, regardless of their types or states, cells exhibit a universal power-law rheological behavior which to this date still has not been captured by a single theoretical model. Here, we propose a cellular structural model that accounts for the essential mechanical responses of cell membrane, cytoplasm and cytoskeleton. We demonstrate that this model can naturally reproduce the universal power-law characteristics of cell rheology, as well as how its power-law exponent is related to cellular stiffness. More importantly, the power-law exponent can be quantitatively tuned in the range of 0.1 ~ 0.5, as found in most types of cells, by varying the stiffness or architecture of the cytoskeleton. Based on the structural characteristics, we further develop a self-similar hierarchical model that can spontaneously capture the power-law characteristics of creep compliance over time and complex modulus over frequency. The present model suggests that mechanical responses of cells may depend primarily on their generic architectural mechanism, rather than specific molecular properties. Different types of cells exhibit a universal power-law rheological behavior which to this date has not been captured by a single theoretical model. Here, the authors propose a self-similar hierarchical cellular model that can naturally reproduce the universal power-law characteristics of cell rheology.
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Affiliation(s)
- Jiu-Tao Hang
- Laboratory for Multiscale Mechanics and Medical Science, Department of Engineering Mechanics, SVL, School of Aerospace Engineering, Xi'an Jiaotong University, 710049, Xi'an, China
| | - Yu Kang
- College of Pharmaceutical Sciences, Zhejiang University, 310058, Hangzhou, China
| | - Guang-Kui Xu
- Laboratory for Multiscale Mechanics and Medical Science, Department of Engineering Mechanics, SVL, School of Aerospace Engineering, Xi'an Jiaotong University, 710049, Xi'an, China.
| | - Huajian Gao
- School of Mechanical and Aerospace Engineering, College of Engineering, Nanyang Technological University, 639798, Singapore, Singapore. .,Institute of High Performance Computing, A*STAR, 138632, Singapore, Singapore.
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16
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Chen S, Broedersz CP, Markovich T, MacKintosh FC. Nonlinear stress relaxation of transiently crosslinked biopolymer networks. Phys Rev E 2021; 104:034418. [PMID: 34654176 DOI: 10.1103/physreve.104.034418] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/15/2021] [Accepted: 08/22/2021] [Indexed: 11/07/2022]
Abstract
A long-standing puzzle in the rheology of living cells is the origin of the experimentally observed long-time stress relaxation. The mechanics of the cell is largely dictated by the cytoskeleton, which is a biopolymer network consisting of transient crosslinkers, allowing for stress relaxation over time. Moreover, these networks are internally stressed due to the presence of molecular motors. In this work we propose a theoretical model that uses a mode-dependent mobility to describe the stress relaxation of such prestressed transient networks. Our theoretical predictions agree favorably with experimental data of reconstituted cytoskeletal networks and may provide an explanation for the slow stress relaxation observed in cells.
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Affiliation(s)
- Sihan Chen
- Department of Physics and Astronomy, Rice University, Houston, Texas 77005, USA.,Center for Theoretical Biological Physics, Rice University, Houston, Texas 77005, USA
| | - Chase P Broedersz
- Department of Physics and Astronomy, Vrije Universiteit Amsterdam, 1081 HV Amsterdam, The Netherlands.,Arnold-Sommerfeld-Center for Theoretical Physics and Center for NanoScience, Ludwig-Maximilians-Universität München, D-80333 München, Germany
| | - Tomer Markovich
- Center for Theoretical Biological Physics, Rice University, Houston, Texas 77005, USA
| | - Fred C MacKintosh
- Department of Physics and Astronomy, Rice University, Houston, Texas 77005, USA.,Center for Theoretical Biological Physics, Rice University, Houston, Texas 77005, USA.,Department of Chemical and Biomolecular Engineering, Rice University, Houston, Texas 77005, USA.,Department of Chemistry, Rice University, Houston, Texas 77005, USA
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17
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Berghoff K, Gross W, Eisentraut M, Kress H. Using blinking optical tweezers to study cell rheology during initial cell-particle contact. Biophys J 2021; 120:3527-3537. [PMID: 34181902 PMCID: PMC8391049 DOI: 10.1016/j.bpj.2021.04.034] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/01/2020] [Revised: 04/21/2021] [Accepted: 04/26/2021] [Indexed: 01/01/2023] Open
Abstract
Phagocytosis is an important part of innate immunity and describes the engulfment of bacteria and other extracellular objects on the micrometer scale. The protrusion of the cell membrane around the bacteria during this process is driven by a reorganization of the actin cortex. The process has been studied on the molecular level to great extent during the past decades. However, a deep, fundamental understanding of the mechanics of the process is still lacking, in particular because of a lack of techniques that give access to binding dynamics below the optical resolution limit and cellular viscoelasticity at the same time. In this work, we propose a technique to characterize the mechanical properties of cells in a highly localized manner and apply it to investigate the early stages of phagocytosis. The technique can simultaneously resolve the contact region between a cell and an external object (in our application, a phagocytic target) even below the optical resolution limit. We used immunoglobulin-G-coated microparticles with a size of 2 μm as a model system and attached the particles to the macrophages with holographic optical tweezers. By switching the trap on and off, we were able to measure the rheological properties of the cells in a time-resolved manner during the first few minutes after attachment. The measured viscoelastic cellular response is consistent with power law rheology. The contact radius between particle and cell increased on a timescale of ∼30 s and converged after a few minutes. Although the binding dynamics are not affected by cytochalasin D, we observed an increase of the cellular compliance and a significant fluidization of the cortex after addition of cytochalasin D treatment. Furthermore, we report upper boundaries for the length- and timescale, at which cortical actin has been hypothesized to depolymerize during early phagocytosis.
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Affiliation(s)
- Konrad Berghoff
- Department of Physics, University of Bayreuth, Bayreuth, Germany
| | - Wolfgang Gross
- Department of Physics, University of Bayreuth, Bayreuth, Germany
| | | | - Holger Kress
- Department of Physics, University of Bayreuth, Bayreuth, Germany.
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18
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Rheinlaender J, Wirbel H, Schäffer TE. Spatial correlation of cell stiffness and traction forces in cancer cells measured with combined SICM and TFM. RSC Adv 2021; 11:13951-13956. [PMID: 35423943 PMCID: PMC8697701 DOI: 10.1039/d1ra01277k] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/16/2021] [Accepted: 04/06/2021] [Indexed: 12/31/2022] Open
Abstract
The mechanical properties of cancer cells at the single-cell and the subcellular level might be the key for answering long-standing questions in the diagnosis and treatment of cancer. However, the subcellular distribution of two main mechanical properties, cell stiffness and traction forces, has been investigated only rarely and qualitatively yet. Here, we present the first direct combination of scanning ion conductance microscopy (SICM) and traction force microscopy (TFM), which we used to identify a correlation between the local stiffness and the local traction force density in living cells. We found a correlation in normal breast epithelial cells, but no correlation in cancerous breast epithelial cells. This indicates that the interplay between cell stiffness and traction forces is altered in cancer cells as compared to healthy cells, which might give new insight in the research field of cancer cell mechanobiology.
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Affiliation(s)
- Johannes Rheinlaender
- Institute of Applied Physics, University of Tübingen Auf der Morgenstelle 10 72076 Tübingen Germany +49 7071 29 5093 +49 7071 29 76030
| | - Hannes Wirbel
- Institute of Applied Physics, University of Tübingen Auf der Morgenstelle 10 72076 Tübingen Germany +49 7071 29 5093 +49 7071 29 76030
| | - Tilman E Schäffer
- Institute of Applied Physics, University of Tübingen Auf der Morgenstelle 10 72076 Tübingen Germany +49 7071 29 5093 +49 7071 29 76030
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19
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Dubey S, Veer S, Seshagiri Rao RV, Kalelkar C, Pullarkat PA. Investigation of soft and living matter using a micro-extensional rheometer. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2021; 33:084003. [PMID: 33171443 DOI: 10.1088/1361-648x/abc943] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
Rheological properties of a material often require to be probed under extensional deformation. Examples include fibrous materials such as spider-silk, high-molecular weight polymer melts, and the contractile response of living cells. Such materials have strong molecular-level anisotropies which are either inherent or are induced by an imposed extension. However, unlike shear rheology, which is well-established, techniques to perform extensional rheology are currently under development and setups are often custom-designed for the problem under study. In this article, we present a versatile device that can be used to conduct extensional deformation studies of samples at microscopic scales with simultaneous imaging. We discuss the operational features of this device and present a number of applications.
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Affiliation(s)
- Sushil Dubey
- Soft Condensed Matter group, Raman Research Institute, C. V. Raman Avenue, Bengaluru 560080, India
| | - Sukh Veer
- Soft Condensed Matter group, Raman Research Institute, C. V. Raman Avenue, Bengaluru 560080, India
| | - R V Seshagiri Rao
- Soft Condensed Matter group, Raman Research Institute, C. V. Raman Avenue, Bengaluru 560080, India
| | - Chirag Kalelkar
- Department of Mechanical Engineering, Indian Institute of Technology, Kharagpur 721302, India
| | - Pramod A Pullarkat
- Soft Condensed Matter group, Raman Research Institute, C. V. Raman Avenue, Bengaluru 560080, India
- Department of Mechanical Engineering, Indian Institute of Technology, Kharagpur 721302, India
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20
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Jaswandkar SV, Faisal HMN, Katti KS, Katti DR. Dissociation Mechanisms of G-actin Subunits Govern Deformation Response of Actin Filament. Biomacromolecules 2021; 22:907-917. [PMID: 33481563 DOI: 10.1021/acs.biomac.0c01602] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022]
Abstract
Actin molecules are essential structural components of the cellular cytoskeleton. Here, we report a comprehensive analysis of F-actin's deformation behavior and highlight underlying mechanisms using steered molecular dynamics simulations (SMD). The investigation of F-actin was done under tension, compression, bending, and torsion. We report that the dissociation pattern of conformational locks at intrastrand and interstrand G-actin interfaces regulates the deformation response of F-actin. The conformational locks at the G-actin interfaces are portrayed by a spheroidal joint, interlocking serrated plates' analogy. Further, the SMD simulation approach was utilized to evaluate Young's modulus, flexural rigidity, persistent length, and torsional rigidity of F-actin, and the values obtained were found to be consistent with available experimental data. The evaluation of the mechanical properties of actin and the insight into the fundamental mechanisms contributing to its resilience described here are necessary for developing accurate models of eukaryotic cells and for assessing cellular viability and mobility.
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Affiliation(s)
- Sharad V Jaswandkar
- Department of Civil and Environmental Engineering, North Dakota State University, Fargo, North Dakota 58105, United States
| | - H M Nasrullah Faisal
- Department of Civil and Environmental Engineering, North Dakota State University, Fargo, North Dakota 58105, United States
| | - Kalpana S Katti
- Department of Civil and Environmental Engineering, North Dakota State University, Fargo, North Dakota 58105, United States
| | - Dinesh R Katti
- Department of Civil and Environmental Engineering, North Dakota State University, Fargo, North Dakota 58105, United States
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21
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Jung W, Li J, Chaudhuri O, Kim T. Nonlinear Elastic and Inelastic Properties of Cells. J Biomech Eng 2020; 142:100806. [PMID: 32253428 PMCID: PMC7477719 DOI: 10.1115/1.4046863] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/08/2019] [Revised: 03/27/2020] [Indexed: 12/15/2022]
Abstract
Mechanical forces play an important role in various physiological processes, such as morphogenesis, cytokinesis, and migration. Thus, in order to illuminate mechanisms underlying these physiological processes, it is crucial to understand how cells deform and respond to external mechanical stimuli. During recent decades, the mechanical properties of cells have been studied extensively using diverse measurement techniques. A number of experimental studies have shown that cells are far from linear elastic materials. Cells exhibit a wide variety of nonlinear elastic and inelastic properties. Such complicated properties of cells are known to emerge from unique mechanical characteristics of cellular components. In this review, we introduce major cellular components that largely govern cell mechanical properties and provide brief explanations of several experimental techniques used for rheological measurements of cell mechanics. Then, we discuss the representative nonlinear elastic and inelastic properties of cells. Finally, continuum and discrete computational models of cell mechanics, which model both nonlinear elastic and inelastic properties of cells, will be described.
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Affiliation(s)
- Wonyeong Jung
- Weldon School of Biomedical Engineering, Purdue University, 206 S. Martin Jischke Drive, West Lafayette, IN 47907
| | - Jing Li
- Weldon School of Biomedical Engineering, Purdue University, 206 S. Martin Jischke Drive, West Lafayette, IN 47907
| | - Ovijit Chaudhuri
- Department of Mechanical Engineering, Stanford University, 440 Escondido Mall, Stanford, CA 94305
| | - Taeyoon Kim
- Weldon School of Biomedical Engineering, Purdue University, 206 S. Martin Jischke Drive, West Lafayette, IN 47907
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22
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Mierke CT. Mechanical Cues Affect Migration and Invasion of Cells From Three Different Directions. Front Cell Dev Biol 2020; 8:583226. [PMID: 33043017 PMCID: PMC7527720 DOI: 10.3389/fcell.2020.583226] [Citation(s) in RCA: 39] [Impact Index Per Article: 7.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/14/2020] [Accepted: 08/24/2020] [Indexed: 12/20/2022] Open
Abstract
Cell migration and invasion is a key driving factor for providing essential cellular functions under physiological conditions or the malignant progression of tumors following downward the metastatic cascade. Although there has been plentiful of molecules identified to support the migration and invasion of cells, the mechanical aspects have not yet been explored in a combined and systematic manner. In addition, the cellular environment has been classically and frequently assumed to be homogeneous for reasons of simplicity. However, motility assays have led to various models for migration covering only some aspects and supporting factors that in some cases also include mechanical factors. Instead of specific models, in this review, a more or less holistic model for cell motility in 3D is envisioned covering all these different aspects with a special emphasis on the mechanical cues from a biophysical perspective. After introducing the mechanical aspects of cell migration and invasion and presenting the heterogeneity of extracellular matrices, the three distinct directions of cell motility focusing on the mechanical aspects are presented. These three different directions are as follows: firstly, the commonly used invasion tests using structural and structure-based mechanical environmental signals; secondly, the mechano-invasion assay, in which cells are studied by mechanical forces to migrate and invade; and thirdly, cell mechanics, including cytoskeletal and nuclear mechanics, to influence cell migration and invasion. Since the interaction between the cell and the microenvironment is bi-directional in these assays, these should be accounted in migration and invasion approaches focusing on the mechanical aspects. Beyond this, there is also the interaction between the cytoskeleton of the cell and its other compartments, such as the cell nucleus. In specific, a three-element approach is presented for addressing the effect of mechanics on cell migration and invasion by including the effect of the mechano-phenotype of the cytoskeleton, nucleus and the cell's microenvironment into the analysis. In precise terms, the combination of these three research approaches including experimental techniques seems to be promising for revealing bi-directional impacts of mechanical alterations of the cellular microenvironment on cells and internal mechanical fluctuations or changes of cells on the surroundings. Finally, different approaches are discussed and thereby a model for the broad impact of mechanics on cell migration and invasion is evolved.
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Affiliation(s)
- Claudia Tanja Mierke
- Faculty of Physics and Earth Science, Peter Debye Institute of Soft Matter Physics, Biological Physics Division, University of Leipzig, Leipzig, Germany
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23
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Aermes C, Hayn A, Fischer T, Mierke CT. Environmentally controlled magnetic nano-tweezer for living cells and extracellular matrices. Sci Rep 2020; 10:13453. [PMID: 32778758 PMCID: PMC7417586 DOI: 10.1038/s41598-020-70428-w] [Citation(s) in RCA: 24] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/23/2020] [Accepted: 07/16/2020] [Indexed: 01/08/2023] Open
Abstract
The magnetic tweezer technique has become a versatile tool for unfolding or folding of individual molecules, mainly DNA. In addition to single molecule analysis, the magnetic tweezer can be used to analyze the mechanical properties of cells and extracellular matrices. We have established a magnetic tweezer that is capable of measuring the linear and non-linear viscoelastic behavior of a wide range of soft matter in precisely controlled environmental conditions, such as temperature, CO2 and humidity. The magnetic tweezer presented in this study is suitable to detect specific differences in the mechanical properties of different cell lines, such as human breast cancer cells and mouse embryonic fibroblasts, as well as collagen matrices of distinct concentrations in the presence and absence of fibronectin crosslinks. The precise calibration and control mechanism employed in the presented magnetic tweezer setup provides the ability to apply physiological force up to 5 nN on 4.5 µm superparamagnetic beads coated with fibronectin and coupled to the cells or collagen matrices. These measurements reveal specific local linear and non-linear viscoelastic behavior of the investigated samples. The viscoelastic response of cells and collagen matrices to the force application is best described by a weak power law behavior. Our results demonstrate that the stress stiffening response and the fluidization of cells is cell type specific and varies largely between differently invasive and aggressive cancer cells. Finally, we showed that the viscoelastic behavior of collagen matrices with and without fibronectin crosslinks measured by the magnetic tweezer can be related to the microstructure of these matrices.
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Affiliation(s)
- Christian Aermes
- Faculty of Physics and Earth Science, Peter Debye Institute of Soft Matter Physics, Biological Physics Division, University of Leipzig, Linnéstr. 5, 04103, Leipzig, Germany
| | - Alexander Hayn
- Faculty of Physics and Earth Science, Peter Debye Institute of Soft Matter Physics, Biological Physics Division, University of Leipzig, Linnéstr. 5, 04103, Leipzig, Germany
| | - Tony Fischer
- Faculty of Physics and Earth Science, Peter Debye Institute of Soft Matter Physics, Biological Physics Division, University of Leipzig, Linnéstr. 5, 04103, Leipzig, Germany
| | - Claudia Tanja Mierke
- Faculty of Physics and Earth Science, Peter Debye Institute of Soft Matter Physics, Biological Physics Division, University of Leipzig, Linnéstr. 5, 04103, Leipzig, Germany.
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24
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Dubey S, Bhembre N, Bodas S, Veer S, Ghose A, Callan-Jones A, Pullarkat P. The axonal actin-spectrin lattice acts as a tension buffering shock absorber. eLife 2020; 9:51772. [PMID: 32267230 PMCID: PMC7190353 DOI: 10.7554/elife.51772] [Citation(s) in RCA: 24] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/10/2019] [Accepted: 04/06/2020] [Indexed: 12/11/2022] Open
Abstract
Axons span extreme distances and are subject to significant stretch deformations during limb movements or sudden head movements, especially during impacts. Yet, axon biomechanics, and its relation to the ultrastructure that allows axons to withstand mechanical stress, is poorly understood. Using a custom developed force apparatus, we demonstrate that chick dorsal root ganglion axons exhibit a tension buffering or strain-softening response, where its steady state elastic modulus decreases with increasing strain. We then explore the contributions from the various cytoskeletal components of the axon to show that the recently discovered membrane-associated actin-spectrin scaffold plays a prominent mechanical role. Finally, using a theoretical model, we argue that the actin-spectrin skeleton acts as an axonal tension buffer by reversibly unfolding repeat domains of the spectrin tetramers to release excess mechanical stress. Our results revise the current viewpoint that microtubules and their associated proteins are the only significant load-bearing elements in axons.
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Affiliation(s)
| | | | - Shivani Bodas
- Indian Institute of Science Education and Research, Pune, India
| | - Sukh Veer
- Raman Research Institute, Bangalore, India
| | - Aurnab Ghose
- Indian Institute of Science Education and Research, Pune, India
| | - Andrew Callan-Jones
- Laboratory of Complex Materials Systems, Paris Diderot University, Paris, France
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25
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Intracellular nonequilibrium fluctuating stresses indicate how nonlinear cellular mechanical properties adapt to microenvironmental rigidity. Sci Rep 2020; 10:5902. [PMID: 32246074 PMCID: PMC7125211 DOI: 10.1038/s41598-020-62567-x] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/12/2019] [Accepted: 03/09/2020] [Indexed: 11/08/2022] Open
Abstract
Living cells are known to be in thermodynamically nonequilibrium, which is largely brought about by intracellular molecular motors. The motors consume chemical energies to generate stresses and reorganize the cytoskeleton for the cell to move and divide. However, since there has been a lack of direct measurements characterizing intracellular stresses, questions remained unanswered on the intricacies of how cells use such stresses to regulate their internal mechanical integrity in different microenvironments. This report describes a new experimental approach by which we reveal an environmental rigidity-dependent intracellular stiffness that increases with intracellular stress - a revelation obtained, surprisingly, from a correlation between the fluctuations in cellular stiffness and that of intracellular stresses. More surprisingly, by varying two distinct parameters, environmental rigidity and motor protein activities, we observe that the stiffness-stress relationship follows the same curve. This finding provides some insight into the intricacies by suggesting that cells can regulate their responses to their mechanical microenvironment by adjusting their intracellular stress.
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26
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Akamatsu M, Vasan R, Serwas D, Ferrin MA, Rangamani P, Drubin DG. Principles of self-organization and load adaptation by the actin cytoskeleton during clathrin-mediated endocytosis. eLife 2020; 9:49840. [PMID: 31951196 PMCID: PMC7041948 DOI: 10.7554/elife.49840] [Citation(s) in RCA: 102] [Impact Index Per Article: 20.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/02/2019] [Accepted: 01/16/2020] [Indexed: 12/20/2022] Open
Abstract
Force generation by actin assembly shapes cellular membranes. An experimentally constrained multiscale model shows that a minimal branched actin network is sufficient to internalize endocytic pits against membrane tension. Around 200 activated Arp2/3 complexes are required for robust internalization. A newly developed molecule-counting method determined that ~200 Arp2/3 complexes assemble at sites of clathrin-mediated endocytosis in human cells. Simulations predict that actin self-organizes into a radial branched array with growing ends oriented toward the base of the pit. Long actin filaments bend between attachment sites in the coat and the base of the pit. Elastic energy stored in bent filaments, whose presence was confirmed by cryo-electron tomography, contributes to endocytic internalization. Elevated membrane tension directs more growing filaments toward the base of the pit, increasing actin nucleation and bending for increased force production. Thus, spatially constrained actin filament assembly utilizes an adaptive mechanism enabling endocytosis under varying physical constraints. The outer membrane of a cell is a tight but elastic barrier that controls what enters or leaves the cell. Large molecules typically cannot cross this membrane unaided. Instead, to enter the cell, they must be packaged into a pocket of the membrane that is then pulled inside. This process, called endocytosis, shuttles material into a cell hundreds of times a minute. Endocytosis relies on molecular machines that assemble and disassemble at the membrane as required. One component, a protein called actin, self-assembles near the membrane into long filaments with many repeated subunits. These filaments grow against the membrane, pulling it inwards. But it was not clear how actin filaments organize in such a way that allows them to pull on the membrane with enough force – and without a template to follow. Akamatsu et al. set about identifying how actin operates during endocytosis by using computer simulations that were informed by measurements made in living cells. The simulations included information about the location of actin and other essential molecules, along with the details of how these molecules work individually and together. Akamatsu et al. also developed a method to count the numbers of molecules of a key protein at individual sites of endocytosis. High-resolution imaging was then used to create 3D pictures of actin and endocytosis in action in human cells grown in the laboratory. The analysis showed the way actin filaments arrange themselves depends on the starting positions of a few key molecules that connect to actin. Imaging confirmed that, like a pole-vaulting pole, the flexible actin filaments bend to store energy and then release it to pull the membrane inwards during endocytosis. Finally, the simulations predicted that the collection of filaments adapts its shape and size in response to the resistance of the elastic membrane. This makes the system opportunistic and adaptable to the unpredictable environment within cells.
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Affiliation(s)
- Matthew Akamatsu
- Department of Molecular and Cell Biology, University of California, Berkeley, Berkeley, United States
| | - Ritvik Vasan
- Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, United States
| | - Daniel Serwas
- Department of Molecular and Cell Biology, University of California, Berkeley, Berkeley, United States
| | - Michael A Ferrin
- Department of Molecular and Cell Biology, University of California, Berkeley, Berkeley, United States
| | - Padmini Rangamani
- Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, United States
| | - David G Drubin
- Department of Molecular and Cell Biology, University of California, Berkeley, Berkeley, United States
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Song J, Babayekhorasani F, Spicer PT. Soft Bacterial Cellulose Microcapsules with Adaptable Shapes. Biomacromolecules 2019; 20:4437-4446. [PMID: 31661248 DOI: 10.1021/acs.biomac.9b01143] [Citation(s) in RCA: 21] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/04/2023]
Abstract
Microcapsules with controlled stability and permeability are in high demand for applications in separation and encapsulation. We have developed a biointerfacial process to fabricate strong, but flexible, porous microcapsules from bacterial cellulose at an oil-water emulsion interface. A broad range of microcapsule sizes has been successfully produced, from 100 μm to 5 cm in diameter. The three-dimensional capsule microstructure was imaged using confocal microscopy, showing a cellulose membrane thickness of around 30 μm that is highly porous, with some pores larger than 0.5 μm that are permeable to most macromolecules by free diffusion but can exclude larger structures like bacteria. The mechanical deformation of cellulose microcapsules reveals their flexibility, enabling them to pass through constrictions with a much smaller diameter than their initial size by bending and folding. Our work provides a new approach for producing soft, permeable, and biocompatible microcapsules for substance encapsulation and protection. The capsules may offer a replacement for suspended polymer beads in commercial applications and could potentially act as a framework for artificial cells.
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Affiliation(s)
- Jie Song
- School of Chemical Engineering , UNSW Australia , Sydney NSW 2052 , Australia
| | | | - Patrick T Spicer
- School of Chemical Engineering , UNSW Australia , Sydney NSW 2052 , Australia
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Aufderhorst-Roberts A, Koenderink GH. Stiffening and inelastic fluidization in vimentin intermediate filament networks. SOFT MATTER 2019; 15:7127-7136. [PMID: 31334536 DOI: 10.1039/c9sm00590k] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
Intermediate filaments are cytoskeletal proteins that are key regulators of cell mechanics, a role which is intrinsically tied to their hierarchical structure and their unique ability to accommodate large axial strains. However, how the single-filament response to applied strains translates to networks remains unclear, particularly with regards to the crosslinking role played by the filaments' disordered "tail" domains. Here we test the role of these noncovalent crosslinks in the nonlinear rheology of reconstituted networks of the intermediate filament protein vimentin, probing their stress- and rate-dependent mechanics. Similarly to previous studies we observe elastic stress-stiffening but unlike previous work we identify a characteristic yield stress σ*, above which the networks exhibit rate-dependent softening of the network, referred to as inelastic fluidization. By investigating networks formed from tail-truncated vimentin, in which noncovalent crosslinking is suppressed, and glutaraldehyde-treated vimentin, in which crosslinking is made permanent, we show that rate-dependent inelastic fluidization is a direct consequence of vimentin's transient crosslinking. Surprisingly, although the tail-tail crosslinks are individually weak, the effective timescale for stress relaxation of the network exceeds 1000 s at σ*. Vimentin networks can therefore maintain their integrity over a large range of strains (up to ∼1000%) and loading rates (10-3 to 10-1 s-1). Our results provide insight into how the hierarchical structure of vimentin networks contributes to the cell's ability to be deformable yet strong.
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A Combined AFM and Lateral Stretch Device Enables Microindentation Analyses of Living Cells at High Strains. Methods Protoc 2019; 2:mps2020043. [PMID: 31164622 PMCID: PMC6632168 DOI: 10.3390/mps2020043] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/17/2019] [Revised: 05/13/2019] [Accepted: 05/21/2019] [Indexed: 12/22/2022] Open
Abstract
Mechanical characterization of living cells undergoing substantial external strain promises insights into material properties and functional principles of mechanically active tissues. However, due to the high strains that occur in physiological situations (up to 50%) and the complex structure of living cells, suitable experimental techniques are rare. In this study, we introduce a new system composed of an atomic force microscope (AFM), a cell stretching system based on elastomeric substrates, and light microscopy. With this system, we investigated the influence of mechanical stretch on monolayers of keratinocytes. In repeated indentations at the same location on one particular cell, we found significant stiffening at 25% and 50% strain amplitude. To study the contribution of intermediate filaments, we used a mutant keratinocyte cell line devoid of all keratins. For those cells, we found a softening in comparison to the wild type, which was even more pronounced at higher strain amplitudes.
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Active Prestress Leads to an Apparent Stiffening of Cells through Geometrical Effects. Biophys J 2019; 114:419-424. [PMID: 29401439 DOI: 10.1016/j.bpj.2017.11.014] [Citation(s) in RCA: 20] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/14/2017] [Revised: 10/27/2017] [Accepted: 11/14/2017] [Indexed: 01/07/2023] Open
Abstract
Tuning of active prestress, e.g., through activity of molecular motors, constitutes a powerful cellular tool to adjust cellular stiffness through nonlinear material properties. Understanding this tool is an important prerequisite for our comprehension of cellular force response, cell shape dynamics, and tissue organization. Experimental data obtained from cell-mechanical measurements often show a simple linear dependence between mechanical prestress and measured differential elastic moduli. Although these experimental findings could point to stress-induced structural changes in the material, we propose a surprisingly simple alternative explanation in a theoretical study. We show how geometrical effects can give rise to increased cellular force response of cells in the presence of active prestress. The associated effective stress-stiffening is disconnected from actual stress-induced changes of the elastic modulus, and should therefore be regarded as an apparent stiffening of the material. We argue that new approaches in experimental design are necessary to separate this apparent stress-stiffening due to geometrical effects from actual nonlinearities of the elastic modulus in prestressed cellular material.
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31
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Schierbaum N, Rheinlaender J, Schäffer TE. Combined atomic force microscopy (AFM) and traction force microscopy (TFM) reveals a correlation between viscoelastic material properties and contractile prestress of living cells. SOFT MATTER 2019; 15:1721-1729. [PMID: 30657157 DOI: 10.1039/c8sm01585f] [Citation(s) in RCA: 37] [Impact Index Per Article: 6.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
Living cells exhibit a complex mechanical behavior, whose underlying mechanisms are still largely unknown. Emerging from the molecular structure and dynamics of the cytoskeleton, the mechanical behavior comprises "passive" viscoelastic material properties and "active" contractile prestress. To directly investigate the connection between these quantities at the single-cell level, we here present the combination of atomic force microscopy (AFM) with traction force microscopy (TFM). With this combination, we simultaneously measure viscoelastic material parameters (stiffness, fluidity) and contractile prestress of adherent fibroblast and epithelial cells. Although stiffness, fluidity, and contractile prestress greatly vary within a cell population, they are highly correlated: stiffer cells have a lower fluidity and a larger prestress than softer cells. We show that viscoelastic material properties and contractile prestress are both governed by the activity of the actomyosin machinery. Our results underline the connection between a cell's viscoelastic material properties and its contractile prestress and their importance in cell mechanics.
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Affiliation(s)
- Nicolas Schierbaum
- Institute of Applied Physics, University of Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany.
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32
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Fernández-Castaño Romera M, Göstl R, Shaikh H, Ter Huurne G, Schill J, Voets IK, Storm C, Sijbesma RP. Mimicking Active Biopolymer Networks with a Synthetic Hydrogel. J Am Chem Soc 2019; 141:1989-1997. [PMID: 30636412 PMCID: PMC6367683 DOI: 10.1021/jacs.8b10659] [Citation(s) in RCA: 23] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Stiffening due to internal stress generation is of paramount importance in living systems and is the foundation for many biomechanical processes. For example, cells stiffen their surrounding matrix by pulling on collagen and fibrin fibers. At the subcellular level, molecular motors prompt fluidization and actively stiffen the cytoskeleton by sliding polar actin filaments in opposite directions. Here, we demonstrate that chemical cross-linking of a fibrous matrix of synthetic semiflexible polymers with thermoresponsive poly( N-isopropylacrylamide) (PNIPAM) produces internal stress by induction of a coil-to-globule transition upon crossing the lower critical solution temperature of PNIPAM, resulting in a macroscopic stiffening response that spans more than 3 orders of magnitude in modulus. The forces generated through collapsing PNIPAM are sufficient to drive a fluid material into a stiff gel within a few seconds. Moreover, rigidified networks dramatically stiffen in response to applied shear stress featuring power law rheology with exponents that match those of reconstituted collagen and actomyosin networks prestressed by molecular motors. This concept holds potential for the rational design of synthetic materials that are fluid at room temperature and rapidly rigidify at body temperature to form hydrogels mechanically and structurally akin to cells and tissues.
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33
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Gong B, Wei X, Qian J, Lin Y. Modeling and Simulations of the Dynamic Behaviors of Actin-Based Cytoskeletal Networks. ACS Biomater Sci Eng 2019; 5:3720-3734. [DOI: 10.1021/acsbiomaterials.8b01228] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/06/2023]
Affiliation(s)
- Bo Gong
- Department of Engineering Mechanics, Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Zhejiang University, Hangzhou, Zhejiang 310027, China
| | - Xi Wei
- Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, China
| | - Jin Qian
- Department of Engineering Mechanics, Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Zhejiang University, Hangzhou, Zhejiang 310027, China
| | - Yuan Lin
- Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, China
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34
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35
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Moshe M, Bowick MJ, Marchetti MC. Geometric Frustration and Solid-Solid Transitions in Model 2D Tissue. PHYSICAL REVIEW LETTERS 2018; 120:268105. [PMID: 30004729 DOI: 10.1103/physrevlett.120.268105] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/31/2017] [Revised: 03/05/2018] [Indexed: 06/08/2023]
Abstract
We study the mechanical behavior of two-dimensional cellular tissues by formulating the continuum limit of discrete vertex models based on an energy that penalizes departures from a target area A_{0} and a target perimeter P_{0} for the component cells of the tissue. As the dimensionless target shape index s_{0}=(P_{0}/sqrt[A_{0}]) is varied, we find a transition from a soft elastic regime for a compatible target perimeter and area to a stiffer nonlinear elastic regime frustrated by geometric incompatibility. We show that the ground state in the soft regime has a family of degenerate solutions associated with zero modes for the target area and perimeter. The onset of geometric incompatibility at a critical s_{0}^{c} lifts this degeneracy. The resultant energy gap leads to a nonlinear elastic response distinct from that obtained in classical elasticity models. We draw an analogy between cellular tissues and anelastic deformations in solids.
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Affiliation(s)
- Michael Moshe
- Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
- Department of Physics and Soft and Living Matter Program, Syracuse University, Syracuse, New York 13244, USA
| | - Mark J Bowick
- Department of Physics and Soft and Living Matter Program, Syracuse University, Syracuse, New York 13244, USA
- Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106, USA
| | - M Cristina Marchetti
- Department of Physics and Soft and Living Matter Program, Syracuse University, Syracuse, New York 13244, USA
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36
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Frahs SM, Oxford JT, Neumann EE, Brown RJ, Keller-Peck CR, Pu X, Lujan TJ. Extracellular Matrix Expression and Production in Fibroblast-Collagen Gels: Towards an In Vitro Model for Ligament Wound Healing. Ann Biomed Eng 2018; 46:1882-1895. [PMID: 29873012 DOI: 10.1007/s10439-018-2064-0] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/01/2018] [Accepted: 05/25/2018] [Indexed: 12/21/2022]
Abstract
Ligament wound healing involves the proliferation of a dense and disorganized fibrous matrix that slowly remodels into scar tissue at the injury site. This remodeling process does not fully restore the highly aligned collagen network that exists in native tissue, and consequently repaired ligament has decreased strength and durability. In order to identify treatments that stimulate collagen alignment and strengthen ligament repair, there is a need to develop in vitro models to study fibroblast activation during ligament wound healing. The objective of this study was to measure gene expression and matrix protein accumulation in fibroblast-collagen gels that were subjected to different static stress conditions (stress-free, biaxial stress, and uniaxial stress) for three time points (1, 2 or 3 weeks). By comparing our in vitro results to prior in vivo studies, we found that stress-free gels had time-dependent changes in gene expression (col3a1, TnC) corresponding to early scar formation, and biaxial stress gels had protein levels (collagen type III, decorin) corresponding to early scar formation. This is the first study to conduct a targeted evaluation of ligament healing biomarkers in fibroblast-collagen gels, and the results suggest that biomimetic in-vitro models of early scar formation should be initially cultured under biaxial stress conditions.
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Affiliation(s)
- Stephanie M Frahs
- Biomolecular Sciences Graduate Program, Boise State University, Boise, ID, USA
- Biomolecular Research Center, Boise State University, Boise, ID, USA
| | - Julia Thom Oxford
- Biomolecular Sciences Graduate Program, Boise State University, Boise, ID, USA
- Biomolecular Research Center, Boise State University, Boise, ID, USA
| | - Erica E Neumann
- Department of Mechanical & Biomedical Engineering, Boise State University, 1910 University Drive, Boise, ID, 83725-2085, USA
| | - Raquel J Brown
- Biomolecular Research Center, Boise State University, Boise, ID, USA
| | | | - Xinzhu Pu
- Biomolecular Research Center, Boise State University, Boise, ID, USA
| | - Trevor J Lujan
- Department of Mechanical & Biomedical Engineering, Boise State University, 1910 University Drive, Boise, ID, 83725-2085, USA.
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37
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Abstract
How do the cells in our body reconfigure their shape to achieve complex tasks like migration and mitosis, yet maintain their shape in response to forces exerted by, for instance, blood flow and muscle action? Cell shape control is defined by a delicate mechanical balance between active force generation and passive material properties of the plasma membrane and the cytoskeleton. The cytoskeleton forms a space-spanning fibrous network comprising three subsystems: actin, microtubules and intermediate filaments. Bottom-up reconstitution of minimal synthetic cells where these cytoskeletal subsystems are encapsulated inside a lipid vesicle provides a powerful avenue to dissect the force balance that governs cell shape control. Although encapsulation is technically demanding, a steady stream of advances in this technique has made the reconstitution of shape-changing minimal cells increasingly feasible. In this topical review we provide a route-map of the recent advances in cytoskeletal encapsulation techniques and outline recent reports that demonstrate shape change phenomena in simple biomimetic vesicle systems. We end with an outlook toward the next steps required to achieve more complex shape changes with the ultimate aim of building a fully functional synthetic cell with the capability to autonomously grow, divide and move.
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Affiliation(s)
- Yuval Mulla
- These authors contributed equally to this work
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38
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Rajagopal V, Holmes WR, Lee PVS. Computational modeling of single-cell mechanics and cytoskeletal mechanobiology. WILEY INTERDISCIPLINARY REVIEWS. SYSTEMS BIOLOGY AND MEDICINE 2018; 10:e1407. [PMID: 29195023 PMCID: PMC5836888 DOI: 10.1002/wsbm.1407] [Citation(s) in RCA: 31] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 04/07/2017] [Revised: 08/19/2017] [Accepted: 09/07/2017] [Indexed: 01/10/2023]
Abstract
Cellular cytoskeletal mechanics plays a major role in many aspects of human health from organ development to wound healing, tissue homeostasis and cancer metastasis. We summarize the state-of-the-art techniques for mathematically modeling cellular stiffness and mechanics and the cytoskeletal components and factors that regulate them. We highlight key experiments that have assisted model parameterization and compare the advantages of different models that have been used to recapitulate these experiments. An overview of feed-forward mechanisms from signaling to cytoskeleton remodeling is provided, followed by a discussion of the rapidly growing niche of encapsulating feedback mechanisms from cytoskeletal and cell mechanics to signaling. We discuss broad areas of advancement that could accelerate research and understanding of cellular mechanobiology. A precise understanding of the molecular mechanisms that affect cell and tissue mechanics and function will underpin innovations in medical device technologies of the future. WIREs Syst Biol Med 2018, 10:e1407. doi: 10.1002/wsbm.1407 This article is categorized under: Models of Systems Properties and Processes > Mechanistic Models Physiology > Mammalian Physiology in Health and Disease Models of Systems Properties and Processes > Cellular Models.
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Affiliation(s)
- Vijay Rajagopal
- Cell Structure and Mechanobiology Group, Department of Biomedical EngineeringUniversity of MelbourneMelbourneAustralia
| | - William R. Holmes
- Department of Physics and AstronomyVanderbilt UniversityNashvilleTNUSA
| | - Peter Vee Sin Lee
- Cell and Tissue Biomechanics Laboratory, Department of Biomedical EngineeringUniversity of MelbourneMelbourneAustralia
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39
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Mollaeian K, Liu Y, Bi S, Ren J. Atomic force microscopy study revealed velocity-dependence and nonlinearity of nanoscale poroelasticity of eukaryotic cells. J Mech Behav Biomed Mater 2018; 78:65-73. [DOI: 10.1016/j.jmbbm.2017.11.001] [Citation(s) in RCA: 21] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/29/2017] [Revised: 10/30/2017] [Accepted: 11/01/2017] [Indexed: 11/25/2022]
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40
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Nyberg KD, Hu KH, Kleinman SH, Khismatullin DB, Butte MJ, Rowat AC. Quantitative Deformability Cytometry: Rapid, Calibrated Measurements of Cell Mechanical Properties. Biophys J 2017; 113:1574-1584. [PMID: 28978449 DOI: 10.1016/j.bpj.2017.06.073] [Citation(s) in RCA: 99] [Impact Index Per Article: 12.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/08/2016] [Revised: 06/14/2017] [Accepted: 06/29/2017] [Indexed: 11/29/2022] Open
Abstract
Advances in methods that determine cell mechanical phenotype, or mechanotype, have demonstrated the utility of biophysical markers in clinical and research applications ranging from cancer diagnosis to stem cell enrichment. Here, we introduce quantitative deformability cytometry (q-DC), a method for rapid, calibrated, single-cell mechanotyping. We track changes in cell shape as cells deform into microfluidic constrictions, and we calibrate the mechanical stresses using gel beads. We observe that time-dependent strain follows power-law rheology, enabling single-cell measurements of apparent elastic modulus, Ea, and power-law exponent, β. To validate our method, we mechanotype human promyelocytic leukemia (HL-60) cells and thereby confirm q-DC measurements of Ea = 0.53 ± 0.04 kPa. We also demonstrate that q-DC is sensitive to pharmacological perturbations of the cytoskeleton as well as differences in the mechanotype of human breast cancer cell lines (Ea = 2.1 ± 0.1 and 0.80 ± 0.19 kPa for MCF-7 and MDA-MB-231 cells). To establish an operational framework for q-DC, we investigate the effects of applied stress and cell/pore-size ratio on mechanotype measurements. We show that Ea increases with applied stress, which is consistent with stress stiffening behavior of cells. We also find that Ea increases for larger cell/pore-size ratios, even when the same applied stress is maintained; these results indicate strain stiffening and/or dependence of mechanotype on deformation depth. Taken together, the calibrated measurements enabled by q-DC should advance applications of cell mechanotype in basic research and clinical settings.
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Affiliation(s)
- Kendra D Nyberg
- Department of Integrative Biology and Physiology, University of California, Los Angeles, California; Department of Bioengineering, University of California, Los Angeles, California
| | - Kenneth H Hu
- Department of Physics, Stanford University, Stanford, California
| | - Sara H Kleinman
- Department of Pediatrics, Stanford University, Stanford, California
| | | | - Manish J Butte
- Department of Pediatrics, University of California, Los Angeles, California; Department of Microbiology, Immunology, and Molecular Genetics, University of California, Los Angeles, California
| | - Amy C Rowat
- Department of Integrative Biology and Physiology, University of California, Los Angeles, California; Department of Bioengineering, University of California, Los Angeles, California; UCLA Jonsson Comprehensive Cancer Center, University of California, Los Angeles, California; Broad Stem Cell Research Center, University of California, Los Angeles, California; Center for Biological Physics, University of California, Los Angeles, California.
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41
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Pegoraro AF, Janmey P, Weitz DA. Mechanical Properties of the Cytoskeleton and Cells. Cold Spring Harb Perspect Biol 2017; 9:9/11/a022038. [PMID: 29092896 DOI: 10.1101/cshperspect.a022038] [Citation(s) in RCA: 178] [Impact Index Per Article: 22.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022]
Abstract
SUMMARYThe cytoskeleton is the major mechanical structure of the cell; it is a complex, dynamic biopolymer network comprising microtubules, actin, and intermediate filaments. Both the individual filaments and the entire network are not simple elastic solids but are instead highly nonlinear structures. Appreciating the mechanics of biopolymer networks is key to understanding the mechanics of cells. Here, we review the mechanical properties of cytoskeletal polymers and discuss the implications for the behavior of cells.
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Affiliation(s)
- Adrian F Pegoraro
- Department of Physics and School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138
| | - Paul Janmey
- Institute for Medicine and Engineering and Department of Physiology, Perelman School of Medicine, and Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104
| | - David A Weitz
- Department of Physics and School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138
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42
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Sander M, Dobicki H, Ott A. Large Amplitude Oscillatory Shear Rheology of Living Fibroblasts: Path-Dependent Steady States. Biophys J 2017; 113:1561-1573. [PMID: 28978448 PMCID: PMC5627183 DOI: 10.1016/j.bpj.2017.07.032] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/28/2016] [Revised: 06/12/2017] [Accepted: 07/10/2017] [Indexed: 01/16/2023] Open
Abstract
Mechanical properties of biological cells play a role in cell locomotion, embryonic tissue formation, and tumor migration among many other processes. Cells exhibit a complex nonlinear response to mechanical cues that is not understood. Cells may stiffen as well as soften, depending on the exact type of stimulus. Here we apply large-amplitude oscillatory shear to a monolayer of separated fibroblast cells suspended between two plates. Although we apply identical steady-state excitations, in response we observe different typical regimes that exhibit cell softening or cell stiffening to varying degrees. This degeneracy of the cell response can be linked to the initial paths that the instrument takes to go from cell rest to steady state. A model of cross-linked, force-bearing filaments submitted to steady-state excitation renders the different observed regimes with minor changes in parameters if the filaments are permitted to self-organize and form different spatially organized structures. We suggest that rather than a complex viscoelastic or plastic response, the different observed regimes reflect the emergence of different steady-state cytoskeletal conformations. A high sensitivity of the cytoskeletal rheology and structure to minor changes in parameters or initial conditions enables a cell to respond to mechanical requirements quickly and in various ways with only minor biochemical intervention. Probing path-dependent rheological changes constitutes a possibly very sensitive assessment of the cell cytoskeleton as a possible tool for medical diagnosis. Our observations show that the memory of subtle differences in earlier deformation paths must be taken into account when deciphering the cell mechanical response to large-amplitude deformations.
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Affiliation(s)
- Mathias Sander
- Biological Experimental Physics, Department of Physics, Saarland University, Saarbruecken, Germany
| | - Heike Dobicki
- Biological Experimental Physics, Department of Physics, Saarland University, Saarbruecken, Germany
| | - Albrecht Ott
- Biological Experimental Physics, Department of Physics, Saarland University, Saarbruecken, Germany.
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43
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Mehrnezhad A, Park K. Multifrequency Optomechanical Stiffness Measurement of Single Adherent Cells on a Solid Substrate with High Throughput. Anal Chem 2017; 89:10841-10849. [PMID: 28895727 DOI: 10.1021/acs.analchem.7b02356] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022]
Abstract
Mechanical properties of a cell reflect its biological and pathological conditions and there have been active research efforts to develop high-throughput platforms to mechanically characterize single cells. Yet, many of these research efforts are focused on suspended cells and use a flow-through configuration. In this paper, the stiffness of single adherent cells are optomechanically characterized using the vibration-induced phase shift (VIPS) without detaching them from the substrate. With the VIPS measurements, the frequency and amplitude dependency of the cell stiffness is investigated and statistically significant difference in the cell stiffness is confirmed after exposure to various drugs affecting cytoskeleton network. Furthermore, a 3-dimensional finite element model of a cell on a vibrating substrate is developed to extract the mechanical property from the measured VIPS. The developed technique can characterize the mechanical properties of single adherent cells at multiple frequencies with high throughput and will provide valuable clues in understanding cell mechanics.
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Affiliation(s)
- Ali Mehrnezhad
- Division of Electrical and Computer Engineering, Electrical Engineering Building, Louisiana State University , Baton Rouge, Louisiana 70809, United States
| | - Kidong Park
- Division of Electrical and Computer Engineering, Electrical Engineering Building, Louisiana State University , Baton Rouge, Louisiana 70809, United States
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Kurniawan NA, Vos BE, Biebricher A, Wuite GJL, Peterman EJG, Koenderink GH. Fibrin Networks Support Recurring Mechanical Loads by Adapting their Structure across Multiple Scales. Biophys J 2017; 111:1026-34. [PMID: 27602730 DOI: 10.1016/j.bpj.2016.06.034] [Citation(s) in RCA: 36] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/08/2016] [Revised: 06/01/2016] [Accepted: 06/29/2016] [Indexed: 12/11/2022] Open
Abstract
Tissues and cells sustain recurring mechanical loads that span a wide range of loading amplitudes and timescales as a consequence of exposure to blood flow, muscle activity, and external impact. Both tissues and cells derive their mechanical strength from fibrous protein scaffolds, which typically have a complex hierarchical structure. In this study, we focus on a prototypical hierarchical biomaterial, fibrin, which is one of the most resilient naturally occurring biopolymers and forms the structural scaffold of blood clots. We show how fibrous networks composed of fibrin utilize irreversible changes in their hierarchical structure at different scales to maintain reversible stress stiffening up to large strains. To trace the origin of this paradoxical resilience, we systematically tuned the microstructural parameters of fibrin and used a combination of optical tweezers and fluorescence microscopy to measure the interactions of single fibrin fibers for the first time, to our knowledge. We demonstrate that fibrin networks adapt to moderate strains by remodeling at the network scale through the spontaneous formation of new bonds between fibers, whereas they adapt to high strains by plastic remodeling of the fibers themselves. This multiscale adaptation mechanism endows fibrin gels with the remarkable ability to sustain recurring loads due to shear flows and wound stretching. Our findings therefore reveal a microscopic mechanism by which tissues and cells can balance elastic nonlinearity and plasticity, and thus can provide microstructural insights into cell-driven remodeling of tissues.
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Affiliation(s)
- Nicholas A Kurniawan
- Department of Systems Biophysics, FOM Institute AMOLF, Amsterdam, The Netherlands; Department of Biomedical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands; Institute for Complex Molecular Systems, Eindhoven University of Technology, Eindhoven, The Netherlands
| | - Bart E Vos
- Department of Systems Biophysics, FOM Institute AMOLF, Amsterdam, The Netherlands
| | - Andreas Biebricher
- Department of Physics and Astronomy, Vrije Universiteit Amsterdam, Amsterdam, The Netherlands
| | - Gijs J L Wuite
- Department of Physics and Astronomy, Vrije Universiteit Amsterdam, Amsterdam, The Netherlands
| | - Erwin J G Peterman
- Department of Physics and Astronomy, Vrije Universiteit Amsterdam, Amsterdam, The Netherlands
| | - Gijsje H Koenderink
- Department of Systems Biophysics, FOM Institute AMOLF, Amsterdam, The Netherlands.
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45
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Fischer-Friedrich E, Toyoda Y, Cattin CJ, Müller DJ, Hyman AA, Jülicher F. Rheology of the Active Cell Cortex in Mitosis. Biophys J 2017; 111:589-600. [PMID: 27508442 DOI: 10.1016/j.bpj.2016.06.008] [Citation(s) in RCA: 76] [Impact Index Per Article: 9.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/02/2015] [Revised: 06/06/2016] [Accepted: 06/09/2016] [Indexed: 12/22/2022] Open
Abstract
The cell cortex is a key structure for the regulation of cell shape and tissue organization. To reach a better understanding of the mechanics and dynamics of the cortex, we study here HeLa cells in mitosis as a simple model system. In our assay, single rounded cells are dynamically compressed between two parallel plates. Our measurements indicate that the cortical layer is the dominant mechanical element in mitosis as opposed to the cytoplasmic interior. To characterize the time-dependent rheological response, we extract a complex elastic modulus that characterizes the resistance of the cortex against area dilation. In this way, we present a rheological characterization of the cortical actomyosin network in the linear regime. Furthermore, we investigate the influence of actin cross linkers and the impact of active prestress on rheological behavior. Notably, we find that cell mechanics values in mitosis are captured by a simple rheological model characterized by a single timescale on the order of 10 s, which marks the onset of fluidity in the system.
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Affiliation(s)
- Elisabeth Fischer-Friedrich
- Max Planck Institute of Molecular Cell Biology and Genetics, Dresden, Germany; Max Planck Institute for the Physics of Complex Systems, Dresden, Germany
| | - Yusuke Toyoda
- Max Planck Institute of Molecular Cell Biology and Genetics, Dresden, Germany; Institute of Life Science, Kurume University, Kurume, Japan
| | - Cedric J Cattin
- Department of Biosystems Science and Engineering, Eidgenössische Technische Hochschule Zürich, Basel, Switzerland
| | - Daniel J Müller
- Department of Biosystems Science and Engineering, Eidgenössische Technische Hochschule Zürich, Basel, Switzerland
| | - Anthony A Hyman
- Max Planck Institute of Molecular Cell Biology and Genetics, Dresden, Germany.
| | - Frank Jülicher
- Max Planck Institute for the Physics of Complex Systems, Dresden, Germany.
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46
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Efremov YM, Wang WH, Hardy SD, Geahlen RL, Raman A. Measuring nanoscale viscoelastic parameters of cells directly from AFM force-displacement curves. Sci Rep 2017; 7:1541. [PMID: 28484282 PMCID: PMC5431511 DOI: 10.1038/s41598-017-01784-3] [Citation(s) in RCA: 133] [Impact Index Per Article: 16.6] [Reference Citation Analysis] [Abstract] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/12/2016] [Accepted: 04/04/2017] [Indexed: 01/12/2023] Open
Abstract
Force-displacement (F-Z) curves are the most commonly used Atomic Force Microscopy (AFM) mode to measure the local, nanoscale elastic properties of soft materials like living cells. Yet a theoretical framework has been lacking that allows the post-processing of F-Z data to extract their viscoelastic constitutive parameters. Here, we propose a new method to extract nanoscale viscoelastic properties of soft samples like living cells and hydrogels directly from conventional AFM F-Z experiments, thereby creating a common platform for the analysis of cell elastic and viscoelastic properties with arbitrary linear constitutive relations. The method based on the elastic-viscoelastic correspondence principle was validated using finite element (FE) simulations and by comparison with the existed AFM techniques on living cells and hydrogels. The method also allows a discrimination of which viscoelastic relaxation model, for example, standard linear solid (SLS) or power-law rheology (PLR), best suits the experimental data. The method was used to extract the viscoelastic properties of benign and cancerous cell lines (NIH 3T3 fibroblasts, NMuMG epithelial, MDA-MB-231 and MCF-7 breast cancer cells). Finally, we studied the changes in viscoelastic properties related to tumorigenesis including TGF-β induced epithelial-to-mesenchymal transition on NMuMG cells and Syk expression induced phenotype changes in MDA-MB-231 cells.
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Affiliation(s)
- Yuri M Efremov
- School of Mechanical Engineering, Purdue University, West Lafayette, Indiana, 47907, USA.,Birck Nanotechnology Center, Purdue University, West Lafayette, Indiana, 47907, USA
| | - Wen-Horng Wang
- Department of Medicinal Chemistry and Molecular Pharmacology, Purdue University, West Lafayette, Indiana, 47907, USA
| | - Shana D Hardy
- Department of Medicinal Chemistry and Molecular Pharmacology, Purdue University, West Lafayette, Indiana, 47907, USA
| | - Robert L Geahlen
- Department of Medicinal Chemistry and Molecular Pharmacology, Purdue University, West Lafayette, Indiana, 47907, USA.,Purdue University Center for Cancer Research, Purdue University, West Lafayette, Indiana, 47907, USA
| | - Arvind Raman
- School of Mechanical Engineering, Purdue University, West Lafayette, Indiana, 47907, USA. .,Birck Nanotechnology Center, Purdue University, West Lafayette, Indiana, 47907, USA.
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47
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Schulze KD, Zehnder SM, Urueña JM, Bhattacharjee T, Sawyer WG, Angelini TE. Elastic modulus and hydraulic permeability of MDCK monolayers. J Biomech 2017; 53:210-213. [PMID: 28173919 DOI: 10.1016/j.jbiomech.2017.01.016] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/12/2016] [Revised: 12/31/2016] [Accepted: 01/13/2017] [Indexed: 11/26/2022]
Abstract
The critical role of cell mechanics in tissue health has led to the development of many in vitro methods that measure the elasticity of the cytoskeleton and whole cells, yet the connection between these local cell properties and bulk measurements of tissue mechanics remains unclear. To help bridge this gap, we have developed a monolayer indentation technique for measuring multi-cellular mechanics in vitro. Here, we measure the elasticity of cell monolayers and uncover the role of fluid permeability in these multi-cellular systems, finding that the resistance of fluid transport through cells controls their force-response at long times.
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Affiliation(s)
- K D Schulze
- Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL, United States
| | - S M Zehnder
- Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL, United States
| | - J M Urueña
- Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL, United States
| | - T Bhattacharjee
- Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL, United States
| | - W G Sawyer
- Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL, United States; Department of Material Science and Engineering, University of Florida, Gainesville, FL, United States
| | - T E Angelini
- Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL, United States; J. Crayton Pruitt Family Department of Biomedical Engineering, University of Florida, Gainesville, FL, United States; Institute for Cell Engineering and Regenerative Medicine, University of Florida, Gainesville, FL, United States.
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48
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Huang C, Liu L, You Z, Wang B, Du Y, Ogawa R. Keloid progression: a stiffness gap hypothesis. Int Wound J 2016; 14:764-771. [PMID: 27995750 DOI: 10.1111/iwj.12693] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/06/2016] [Accepted: 11/06/2016] [Indexed: 12/19/2022] Open
Abstract
Keloids are fibroproliferative skin disorders characterised clinically by continuous horizontal progression and post-surgical recurrence and histologically by the accumulation of collagen and fibroblast ingredients. Till now, their aetiology remains clear, which may cover genetic, environmental and metabolic factors. Evidence in the involvement of local mechanics (e.g. predilection site and typical shape) and the progress in mechanobiology have incubated our stiffness gap hypotheses in illustrating the chronic but constant development in keloid. We put forward that the enlarged gap between extracellular matrix (ECM) stiffness and cellular stiffness potentiates keloid progression. Matrix stiffness itself provides organisational guidance cues to regulate the mechanosensitive resident cells (e.g. proliferation, migration and apoptosis). During this dynamic process, the ECM stiffness and cell stiffness are not well balanced, and the continuously enlarged stiffness gap between them potentiates keloid progression. The cushion factors, such as prestress for cell stiffness and topology for ECM stiffness, serve as compensations, the decompensation of which aggravates keloid development. It can well explain the typical shape of keloids, their progression in a horizontal but not vertical direction and the post-surgical recurrence, which were evidenced by our clinical cases. Such a stiffness gap hypothesis might be bridged to mechanotherapeutic approaches for keloid progression.
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Affiliation(s)
- Chenyu Huang
- Department of Dermatology Beijing Tsinghua Changgung Hospital, Tsinghua University, Beijing, China
| | - Longwei Liu
- Department of Biomedical Engineering, School of Medicine, Tsinghua University, Beijing, China
| | - Zhifeng You
- Department of Biomedical Engineering, School of Medicine, Tsinghua University, Beijing, China
| | - Bingjie Wang
- Department of Biomedical Engineering, School of Medicine, Tsinghua University, Beijing, China
| | - Yanan Du
- Department of Biomedical Engineering, School of Medicine, Tsinghua University, Beijing, China
| | - Rei Ogawa
- Department of Plastic, Reconstructive and Aesthetic Surgery, Nippon Medical School, Tokyo, Japan
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49
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Sander M, Flesch J, Ott A. Using cell monolayer rheology to probe average single cell mechanical properties. Biorheology 2016; 52:269-78. [PMID: 26639359 DOI: 10.3233/bir-15070] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/22/2023]
Abstract
The cell monolayer rheology technique consists of a commercial rotational rheometer that probes the mechanical properties of a monolayer of isolated cells. So far we have described properties of an entire monolayer. In this short communication, we show that we can deduce average single cell properties. Results are in very good agreement with earlier work on single cell mechanics. Our approach provides a mean of 105-106 adherent cells within a single experiment. This makes the results very reproducible. We extend our work on cell adhesion strength and deduce cell adhesion forces of fibroblast cells on fibronectin coated glass substrates.
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Affiliation(s)
- Mathias Sander
- Biological Experimental Physics, Department of Physics FR 7.2, Saarland University, Germany
| | - Julia Flesch
- Biological Experimental Physics, Department of Physics FR 7.2, Saarland University, Germany
| | - Albrecht Ott
- Biological Experimental Physics, Department of Physics FR 7.2, Saarland University, Germany
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50
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Kamble H, Barton MJ, Jun M, Park S, Nguyen NT. Cell stretching devices as research tools: engineering and biological considerations. LAB ON A CHIP 2016; 16:3193-203. [PMID: 27440436 DOI: 10.1039/c6lc00607h] [Citation(s) in RCA: 70] [Impact Index Per Article: 7.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/04/2023]
Abstract
Cells within the human body are subjected to continuous, cyclic mechanical strain caused by various organ functions, movement, and growth. Cells are well known to have the ability to sense and respond to mechanical stimuli. This process is referred to as mechanotransduction. A better understanding of mechanotransduction is of great interest to clinicians and scientists alike to improve clinical diagnosis and understanding of medical pathology. However, the complexity involved in in vivo biological systems creates a need for better in vitro technologies, which can closely mimic the cells' microenvironment using induced mechanical strain. This technology gap motivates the development of cell stretching devices for better understanding of the cell response to mechanical stimuli. This review focuses on the engineering and biological considerations for the development of such cell stretching devices. The paper discusses different types of stretching concepts, major design consideration and biological aspects of cell stretching and provides a perspective for future development in this research area.
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Affiliation(s)
- Harshad Kamble
- Queensland Micro- and Nanotechnology Centre, Griffith University, Nathan Campus, 170 Kessels Road, QLD 4111, Australia.
| | - Matthew J Barton
- Menzies Health Institute Queensland, Griffith University, Gold Coast, QLD, Australia
| | - Myeongjun Jun
- School of Mechanical Engineering, Sungkyunkwan University, Suwon, Korea
| | - Sungsu Park
- School of Mechanical Engineering, Sungkyunkwan University, Suwon, Korea
| | - Nam-Trung Nguyen
- Queensland Micro- and Nanotechnology Centre, Griffith University, Nathan Campus, 170 Kessels Road, QLD 4111, Australia.
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