Cited by 190Cellular Mechanics and InteractionsForce Microscopy Techniques and ApplicationsAdvanced Materials and Mechanics

Scaling of Traction Forces with the Size of Cohesive Cell Colonies

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Mertz, Aaron F., Banerjee, Shiladitya, Che, Yonglu, German, Guy K., Xu, Ye, Hyland, Callen, Marchetti, M. Cristina, Horsley, Valerie +1 more·2012·Physical Review Letters

Abstract

To understand how the mechanical properties of tissues emerge from interactions of multiple cells, we measure traction stresses of cohesive colonies of 1-27 cells adherent to soft substrates. We find that traction stresses are generally localized at the periphery of the colony and the total traction force scales with the colony radius. For large colony sizes, the scaling appears to approach linear, suggesting the emergence of an apparent surface tension of the order of 10(-3) N/m. A simple model of the cell colony as a contractile elastic medium coupled to the substrate captures the spatial distribution of traction forces and the scaling of traction forces with the colony size.

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Crossref · 10.1103/physrevlett.108.198101

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  • Traction scales directly with keratinocyte spread area.

    “The magnitudes of these two tensions, T21 and T12, were divided by the spread area, K2 or K1, of cell 2 or cell 1, respectively, because traction scales directly with keratinocyte spread area64.”

    From E-cadherin integrates mechanotransduction and EGFR signaling to control junctional tissue polarization and tight junction positioning (2017) · cites this paper as [64]

    The paper defines colony radius as the radius of a disk with the same area, then reports that total traction force approaches linear scaling with radius for large keratinocyte colonies (Fig. 3 discussion and model; page unavailable). That is scaling with the square root of area, not directly with spread area. The paper does not establish the claimed area-proportional relationship for individual keratinocytes. (LLM, conf=0.87)

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  1. [1]Discher D Janmey P Wang Y Science 2005 310 1139 16293750
  2. [2]Basan M Risler T Joanny J Sastre-Garau X Prost J HFSP J 2009 3 265 20119483 PMC2799988
  3. [3]Lee J Leonard M Oliver T Ishihara A Jacobson K J. Cell Biol 1994 127 1957 7806573 PMC2120302
  4. [4]Ananthakrishnan R Ehrlicher A International Journal of Biological Sciences 2007 3 303 17589565 PMC1893118
  5. [5]Vogel V Sheetz M Nat. Rev. Mol. Cell Biol 2006 7 265 16607289
  6. [6]Gardel M Sabass B Ji L Danuser G Schwarz U Waterman C J. Cell Biol 2008 183 999 19075110 PMC2600750
  7. [7]Nelson C Jean R Tan J Liu W Sniadecki N Spector A Chen C Proc. Natl. Acad. Sci. U.S.A 2005 102 11 594 PMC1187971 16049098
  8. [8]du Roure O Saez A Buguin A Austin R Chavrier P Siberzan P Ladoux B Proc. Natl. Acad. Sci. U.S.A 2005 102 2390 15695588 PMC548966
  9. [10]Angelini T Hannezo E Trepat X Fredberg J Weitz D Phys. Rev. Lett 2010 104 168104 20482085 PMC3947506
  10. [11]Khalil A Friedl P Integr. Biol 2010 2 568 20886167
  11. [12]Liu Z Tan J Cohen D Yang M Sniadecki N Ruiz S Nelson C Chen C Proc. Natl. Acad. Sci. U.S.A 2010 107 9944 20463286 PMC2890446
  12. [13]Saez A Anon E Ghibaudo M du Roure O Di Meglio J Hersen P Silberzan P Buguin A Ladoux B J. Phys. Condens. Matter 2010 22 194119 21386442
  13. [14]Tambe D Nature Mater 2011 10 469 21602808 PMC3135682
  14. [15]Maruthamuthu V Sabass B Schwarz U Gardel M Proc. Natl. Acad. Sci. U.S.A 2011 108 4708 21383129 PMC3064395
  15. [16]Dembo M Wang Y Biophys. J 1999 76 2307 10096925 PMC1300203
  16. [17]Xu Y Engl W Jerison E Wallenstein K Hyland C Wilen L Dufresne E Proc. Natl. Acad. Sci. U.S.A 2010 107 14 964 PMC2930552 20696929
  17. [19]del Álamo J Meili R Alonso-Latorre B Rodríguez-Rodríguez J Aliseda A Firtel R Lasheras J Proc. Natl. Acad. Sci. U.S.A 2007 104 13 343 PMC1940228 17684097
  18. [20]Butler J Tolić-Nørrelykke I Fabry B Fredberg J American Journal of Physiology—Cell Physiology 2002 282 C595 [ http://ajpcell.physiology.org/content/282/3/C595] 11832345
  19. [21]Barrandon Y Green H Proc. Natl. Acad. Sci. U.S.A 1987 84 2302 2436229 PMC304638
  20. [22]O'Keefe E Briggaman R Herman B J. Cell Biol 1987 105 807 2442175 PMC2114785
  21. [23]Vaezi A Bauer C Vasioukhin V Fuchs E Dev. Cell 2002 3 367 12361600
  22. [24]Wang H-B Dembo M Hanks S Wang Y.-l. Proc. Natl. Acad. Sci. U.S.A 2001 98 11 295 11572981 PMC58723
  23. [25]Wang N Ostuni E Whitesides G Ingber D Cell Motil. Cytoskeleton 2002 52 97 12112152
  24. [26]Delanoë-Ayari H Rieu J Phys. Rev. Lett 2010 105 248103 21231559
  25. [27]Fournier M Sauser R Ambrosi D Meister J Verkhovsky A J. Cell Biol 2010 188 287 20100912 PMC2812525
  26. [28]Krishnan R American Journal of Physiology—Cell Physiology 2011 300 C146 20861463 PMC3023192
  27. [29]See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevLett.108.198101 for the distribution of traction stresses and strain energy for all 45 colonies examined
  28. [30]Califano J Reinhart-King C Cell. Mol. Bioeng 2010 3 68 21116436 PMC2992361
  29. [31]Fu J Wang Y Yang M Desai R Yu X Liu Z Chen C Nat. Methods 2010 7 733 20676108 PMC3069358
  30. [32]Tolić-Nørrelykke I Wang N J. Biomech 2005 38 1405 15922751
  31. [33]Tan J Tien J Pirone D Gray D Bhadriraju K Chen C Proc. Natl. Acad. Sci. U.S.A 2003 100 1484 12552122 PMC149857
  32. [34]de Gennes P-G Brochard-Wyart F Quèrè D Capillarity and Wetting Phenomena: Drops, Bubbles, Pearls, Waves 2004 Springer-Verlag New York
  33. [35]Foty R Steinberg M Dev. Biol 2005 278 255 15649477
  34. [36]Douezan S Guevorkian K Naouar R Dufour S Cuvelier D Brochard-Wyart F Proc. Natl. Acad. Sci. U.S.A 2011 108 7315 21504944 PMC3088609
  35. [37]Jerison E Xu Y Wilen L Dufresne E Phys. Rev. Lett 2011 106 186103 21635105
  36. [38]Steinberg M Curr. Opin. Genet. Dev 2007 17 281 17624758
  37. [39]Foty R Forgacs G Pfleger C Steinberg M Phys. Rev. Lett 1994 72 2298 10055839
  38. [40]Foty R Pfleger C Forgacs G Steinberg M Development (Cambridge, U.K.) 1996 122 1611 [ http://dev.biologists.org/content/122/5/1611] 8625847
  39. [41]Guevorkian K Colbert M-J Durth M Dufour S Brochard-Wyart F Phys. Rev. Lett 2010 104 218101 20867138
  40. [42]Käfer J Hayashi T Marée A Carthew R Graner F Proc. Natl. Acad. Sci. U.S.A 2007 104 18549 18003929 PMC2141814
  41. [43]Manning M Foty R Steinberg M Schoetz E-M Proc. Natl. Acad. Sci. U.S.A 2010 107 12 517 PMC2906578 20616053
  42. [45]Edwards C Schwarz U Phys. Rev. Lett 2011 107 128101 22026803
  43. [46]Kruse K Joanny J Jülicher F Prost J Sekimoto K Eur. Phys. J. E 2005 16 5 15688136
  44. [47]Bischofs I Schmidt S Schwarz U Phys. Rev. Lett 2009 103 48101 19659402
  45. [48]Kruse K Joanny J Jülicher F J. Prost, Phys. Biol 2006 3 130 16829699

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Authors
Mertz, A. F., Banerjee, S., Che, Y., German, G. K., Xu, Y., Hyland, C., Marchetti, M. C., Horsley, V., & Dufresne, E. R.
Affiliations
  • Yale University (US)
  • Syracuse University (US)
Corresponding author
Dufresne, Eric R.
Venue
Physical Review Letters
Published
2012-05-08
Volume
108
Issue
19
Pages
198101-198101
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
OpenAlex
W2079798883
Cited by
190
References
3
Citations by year
2026: 5 · 2025: 9 · 2024: 12 · 2023: 10 · 2022: 8 · 2021: 13 · 2020: 10 · 2019: 16 · 2018: 23 · 2017: 19 · 2016: 18 · 2015: 16 · 2014: 14 · 2013: 12 · 2012: 5
FWCI
7.12
Type
journal article
Language
en
Open access
Locations
  • Physical Review Letters (publishedVersion)
  • PubMed (publishedVersion)
  • Europe PMC (PubMed Central) (acceptedVersion)
  • PubMed Central (acceptedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • UCL Discovery (University College London) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • National Science Foundation
  • National Institutes of Health
Topics
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Cell Biology › Cellular Mechanics and Interactions
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Force Microscopy Techniques and Applications
  • Physical Sciences › Engineering › Mechanical Engineering › Advanced Materials and Mechanics
Keywords
traction force, tissue mechanics, cell-substrate interaction, soft substrates, mechanobiology
MeSH terms
Animals, Calcium Chloride, Cell Adhesion, Cell Communication, Cell Count, Culture Media, Models, Biological, Keratinocytes, Mice

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