Cited by 110Cellular Mechanics and InteractionsMaterial Dynamics and PropertiesTheoretical and Computational Physics

Sculpting tissues by phase transitions

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Lenne, Pierre-François, Trivedi, Vikas·2022·Nature Communications

Abstract

Biological systems display a rich phenomenology of states that resemble the physical states of matter - solid, liquid and gas. These phases result from the interactions between the microscopic constituent components - the cells - that manifest in macroscopic properties such as fluidity, rigidity and resistance to changes in shape and volume. Looked at from such a perspective, phase transitions from a rigid to a flowing state or vice versa define much of what happens in many biological processes especially during early development and diseases such as cancer. Additionally, collectively moving confluent cells can also lead to kinematic phase transitions in biological systems similar to multi-particle systems where the particles can interact and show sub-populations characterised by specific velocities. In this Perspective we discuss the similarities and limitations of the analogy between biological and inert physical systems both from theoretical perspective as well as experimental evidence in biological systems. In understanding such transitions, it is crucial to acknowledge that the macroscopic properties of biological materials and their modifications result from the complex interplay between the microscopic properties of cells including growth or death, neighbour interactions and secretion of matrix, phenomena unique to biological systems. Detecting phase transitions in vivo is technically difficult. We present emerging approaches that address this challenge and may guide our understanding of the organization and macroscopic behaviour of biological tissues.

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  1. [1]Saw TB Topological defects in epithelia govern cell death and extrusion Nature 2017 544 212 216 28406198 PMC5439518
  2. [2]Mongera A A fluid-to-solid jamming transition underlies vertebrate body axis elongation Nature 2018 561 401 405 30185907 PMC6148385
  3. [4]Garcia, S. et al. Physics of active jamming during collective cellular motion in a monolayer. Proc. Natl Acad. Sci. USA112, 15314–15319 (2015). PMC4687586 26627719
  4. [5]Iyer K Piscitello-Gómez R Paijmans J Jülicher F Eaton S Epithelial viscoelasticity is regulated by mechanosensitive E-cadherin turnover Curr. Biol. 2019 29 578 591 30744966
  5. [6]Malet-Engra G Collective cell motility promotes chemotactic prowess and resistance to chemorepulsion Curr. Biol. 2015 25 242 250 25578904
  6. [7]Cheung KJ Ewald AJ A collective route to metastasis: seeding by tumor cell clusters Science 2016 352 167 169 27124449 PMC8183671
  7. [8]Petridou, N. I. & Heisenberg, C. Tissue rheology in embryonic organization. EMBO J.38, e102497 (2019). PMC6792012 31512749
  8. [9]Clément, R., Dehapiot, B., Collinet, C., Lecuit, T. & Lenne, P. F. Viscoelastic dissipation stabilizes cell shape changes during tissue morphogenesis. Curr. Biol.27, 3132–3142 (2017). 28988857
  9. [10]Krieg, M. et al. Tensile forces govern germ-layer organization in zebrafish. Nat. Cell Biol.10, 429–436 (2008). 18364700
  10. [11]Angelini TE Glass-like dynamics of collective cell migration Proc. Natl Acad. Sci. USA 2011 108 4714 4719 21321233 PMC3064326
  11. [12]Bi D Yang X Marchetti MC Manning ML Motility-driven glass and jamming transitions in biological tissues Phys. Rev. X 2016 6 021011 28966874 PMC5619672
  12. [13]Brookes NH Riding the cell jamming boundary: geometry, topology, and phase of human corneal endothelium Exp. Eye Res. 2018 172 171 180 29656016
  13. [14]Chepizhko O From jamming to collective cell migration through a boundary induced transition Soft Matter 2018 14 3774 3782 29713711
  14. [15]Delarue M Self-driven jamming in growing microbial populations Nat. Phys. 2016 12 762 766 27642362 PMC5022770
  15. [16]Park, J. A. et al. Unjamming and cell shape in the asthmatic airway epithelium. Nat. Mater.14, 1040–1048 (2015). PMC4666305 26237129
  16. [17]Park JA Atia L Mitchel JA Fredberg JJ Butler JP Collective migration and cell jamming in asthma, cancer and development J. Cell Sci. 2016 129 3375 3383 27550520 PMC5047682
  17. [18]Sadati, M., Taheri Qazvini, N., Krishnan, R., Park, C. Y. & Fredberg, J. J. Collective migration and cell jamming. Differentiation86, 121–125 (2013). PMC3795803 23791490
  18. [19]Schötz, E. M., Lanio, M., Talbot, J. A. & Manning, M. L. Glassy dynamics in three-dimensional embryonic tissues. J. Royal Soc. Interf.10, 20130726 (2013). PMC3808551 24068179
  19. [20]Lawson-Keister, E. & Manning, M. L. Jamming and arrest of cell motion in biological tissues. Current Opinion in Cell Biology72, 146–155 (2021). 34461581
  20. [21]Bénazéraf B A random cell motility gradient downstream of FGF controls elongation of an amniote embryo Nature 2010 466 248 252 20613841 PMC3118990
  21. [22]Bertet C Sulak L Lecuit T Myosin-dependent junction remodelling controls planar cell intercalation and axis elongation Nature 2004 429 667 671 15190355
  22. [23]Krajnc M Dasgupta S Ziherl Pcv Prost J Fluidization of epithelial sheets by active cell rearrangements Phys. Rev. E 2018 98 022409 30253464
  23. [24]Blankenship JT Backovic ST Sanny JSS Weitz O Zallen JA Multicellular rosette formation links planar cell polarity to tissue morphogenesis Dev. Cell 2006 11 459 470 17011486
  24. [25]Firmino J Rocancourt D Saadaoui M Moreau C Gros J Cell division drives epithelial cell rearrangements during gastrulation in chick Dev. Cell 2016 36 249 261 26859350 PMC6485541
  25. [26]Ranft, J. et al. Fluidization of tissues by cell division and apoptosis. Proc. Natl Acad. Sci. USA107, 20863–20868 (2010). PMC3000289 21078958
  26. [27]Sato K Left-right asymmetric cell intercalation drives directional collective cell movement in epithelial morphogenesis Nat. Commun. 2015 6 1 11 PMC4682055 26656655
  27. [29]Farhadifar R Röper J Aigouy B Eaton S Jülicher F The influence of cell mechanics, cell-cell interactions, and proliferation on epithelial packing Curr. Biol. 2007 17 2095 2104 18082406
  28. [30]Wang, X. et al. Anisotropy links cell shapes to tissue flow during convergent extension. Proc. Natl Acad. Sci. USA https://www.pnas.org/content/early/2020/05/27/1916418117.full.pdf (2020). PMC7306759 32467168
  29. [31]Vicsek T Czirk A Ben-Jacob E Cohen I Shochet O Novel type of phase transition in a system of self-driven particles Phys. Rev. Lett. 1995 75 1226 1229 10060237
  30. [32]Giavazzi F Flocking transitions in confluent tissues Soft Matter 2018 14 3471 3477 29693694 PMC5995478
  31. [33]Szabó B Phase transition in the collective migration of tissue cells: experiment and model Phys. Rev. E 2006 74 061908 17280097
  32. [34]Petitjean L Velocity fields in a collectively migrating epithelium Biophys. J. 2010 98 1790 1800 20441742 PMC2862185
  33. [35]Palamidessi A Unjamming overcomes kinetic and proliferation arrest in terminally differentiated cells and promotes collective motility of carcinoma Nat. Mater. 2019 18 1252 1263 31332337
  34. [36]Lecaudey, V. & Gilmour, D. Organizing moving groups during morphogenesis. Curr. Opin. Cell Biol.18, 102–107 (2006). 16352429
  35. [37]Sadati M Taheri Qazvini N Krishnan R Park CY Fredberg JJ Collective migration and cell jamming Differentiation 2013 86 121 125 23791490 PMC3795803
  36. [39]Fodor É Spatial fluctuations at vertices of epithelial layers: quantification of regulation by Rho pathway Biophys. J. 2018 114 939 946 29490253 PMC5984978
  37. [40]Shelton, E. R. et al. Stress-driven tissue fluidization physically segments vertebrate somites. Preprint at https://www.biorxiv.org/content/10.1101/2021.03.27.437325v1 (2021). · DOI
  38. [41]Kim, S., Pochitaloff, M., Stooke-Vaughan, G. A. & Campàs, O. Embryonic tissues as active foams. Nat. Phys.10.1038/s41567-021-01215-1 (2021). PMC8336761 34367313 · DOI
  39. [42]Oriola, D. et al. Arrested coalescence of multicellular aggregates. Preprint at https://arxiv.org/abs/2012.01455 (2020). 35511111 · arXiv
  40. [43]Ongenae, S., Cuvelier, M., Vangheel, J., Ramon, H. & Smeets, B. Activity-induced fluidization of arrested coalescence in fusion of cellular aggregates. Preprint at https://www.biorxiv.org/content/early/2021/02/26/2021.02.26.433001.full.pdf (2021).
  41. [44]Maître, J. L. et al. Adhesion functions in cell sorting by mechanically coupling the cortices of adhering cells. Science338, 253–256 (2012). 22923438
  42. [46]Marinari E Live-cell delamination counterbalances epithelial growth to limit tissue overcrowding Nature 2012 484 542 545 22504180
  43. [47]Shraiman BI Mechanical feedback as a possible regulator of tissue growth Proc. Natl Acad. Sci. USA 2005 102 3318 3323 15728365 PMC552900
  44. [48]Hufnagel L Teleman AA Rouault H Cohen SM Shraiman BI On the mechanism of wing size determination in fly development Proc. Natl Acad. Sci. USA 2007 104 3835 3840 17360439 PMC1820670
  45. [49]Puliafito A Collective and single cell behavior in epithelial contact inhibition Proc. Natl Acad. Sci. USA 2012 109 739 744 22228306 PMC3271933
  46. [50]Maître, J. L., Niwayama, R., Turlier, H., Nedelec, F. & Hiiragi, T. Pulsatile cell-autonomous contractility drives compaction in the mouse embryo. Nat. Cell Biol.17, 849–855 (2015).. 26075357
  47. [51]Martin AC Kaschube M Wieschaus EF Pulsed contractions of an actin-myosin network drive apical constriction Nature 2009 457 495 499 19029882 PMC2822715
  48. [52]Rauzi M Embryo-scale tissue mechanics during Drosophila gastrulation movements Nat. Commun. 2015 6 1 12 PMC4846315 26497898
  49. [53]Roh-Johnson M Triggering a cell shape change by exploiting preexisting actomyosin contractions Science 2012 335 1232 1235 22323741 PMC3298882
  50. [54]Solon J Kaya-Çopur A Colombelli J Brunner D Pulsed forces timed by a ratchet-like mechanism drive directed tissue movement during dorsal closure Cell 2009 137 1331 1342 19563762
  51. [56]Petridou NI Corominas-Murtra B Heisenberg C-P Hannezo E Rigidity percolation uncovers a structural basis for embryonic tissue phase transitions Cell 2021 184 1914 1928 33730596 PMC8055543
  52. [57]Krotov D Dubuis JO Gregor T Bialek W Morphogenesis at criticality Proc. Natl Acad. Sci. USA 2014 111 3683 3688 24516161 PMC3956198
  53. [58]Sugimura K Lenne PF Graner F Measuring forces and stresses in situ in living tissues Development 2016 143 186 196 26786209
  54. [59]Guevorkian K Colbert MJ Durth M Dufour S Brochard-Wyart F Aspiration of biological viscoelastic drops Phys. Rev. Lett. 2010 104 218101 20867138
  55. [60]Zhang, H. & Liu, K. K. Optical tweezers for single cells. J. Royal Soc. Interf.5, 671–690 (2008). PMC2408388 18381254
  56. [61]Prevedel, R., Diz-Muñoz, A., Ruocco, G. & Antonacci, G. Brillouin microscopy: an emerging tool for mechanobiology. Nat. Methods16, 969–977 (2019). 31548707
  57. [62]Benoit M Gabriel D Gerisch G Gaub HE Discrete interactions in cell adhesion measured by single-molecule force spectroscopy Nat. Cell Biol. 2000 2 313 317 10854320
  58. [63]Schötz E-M Quantitative differences in tissue surface tension influence zebrafish germ layer positioning HFSP J. 2008 2 42 56 19404452 PMC2640996
  59. [64]Barriga EH Franze K Charras G Mayor R Tissue stiffening coordinates morphogenesis by triggering collective cell migration in vivo Nature 2018 554 523 527 29443958 PMC6013044
  60. [65]Mathur AB Collinsworth AM Reichert WM Kraus WE Truskey GA Endothelial, cardiac muscle and skeletal muscle exhibit different viscous and elastic properties as determined by atomic force microscopy J. Biomech. 2001 34 1545 1553 11716856
  61. [66]Bambardekar K Clement R Blanc O Chardes C Lenne P-F Direct laser manipulation reveals the mechanics of cell contacts in vivo Proc. Natl Acad. Sci. USA 2015 112 1416 1421 25605934 PMC4321260
  62. [67]Yun, S. H. & Chernyak, D. Brillouin microscopy: assessing ocular tissue biomechanics. Curr. Opin. Ophthalmol.29, 299 (2018). PMC6012042 29771749
  63. [68]Bevilacqua C Sánchez-Iranzo H Richter D Diz-Muñoz A Prevedel R Imaging mechanical properties of sub-micron ECM in live zebrafish using Brillouin microscopy Biomed. Opt. Express 2019 10 1420 30891356 PMC6420298
  64. [69]von Dassow M Davidson LA Natural variation in embryo mechanics: gastrulation in Xenopus laevis is highly robust to variation in tissue stiffness Dev. Dyn. 2009 238 2 18 19097119 PMC2733347
  65. [71]Bonnet I Mechanical state, material properties and continuous description of an epithelial tissue J. R. Soc. Interface 2012 9 2614 2623 22628216 PMC3427523
  66. [72]Foty, R., Pfleger, C., Forgacs, G. & Steinberg, M. Surface tensions of embryonic tissues predict their mutual envelopment behavior. Development122, 1611–1620 (1996). 8625847
  67. [73]Campàs O Quantifying cell-generated mechanical forces within living embryonic tissues Nat. Methods 2014 11 183 189 24317254 PMC3939080
  68. [74]Serwane, F. et al. In vivo quantification of spatially varying mechanical properties in developing tissues. Nat. Methods14, 181–186 (2017). PMC5524219 27918540
  69. [75]Mohagheghian E Quantifying compressive forces between living cell layers and within tissues using elastic round microgels Nat. Commun. 2018 9 1878 29760452 PMC5951850
  70. [76]Dolega ME Cell-like pressure sensors reveal increase of mechanical stress towards the core of multicellular spheroids under compression Nat. Commun. 2017 8 14056 28128198 PMC5290143
  71. [77]Wu PH A comparison of methods to assess cell mechanical properties Nat. Methods 2018 15 491 498 29915189 PMC6582221
  72. [79]Angelini, T. E. et al. Glass-like dynamics of collective cell migration. Proc. Natl Acad. Sci. USA108, 4714–4719 (2011). PMC3064326 21321233
  73. [80]Beauzamy L Nakayama N Boudaoud A Flowers under pressure: ins and outs of turgor regulation in development Ann. Bot. 2014 114 1517 1533 25288632 PMC4204789
  74. [81]Scott, R. J., Spielman, M. & Dickinson, H. G. Stamen structure and function. Plant Cell16, S46–S60 (2004). PMC2643399 15131249
  75. [82]Nelson MR A biomechanical model of anther opening reveals the roles of dehydration and secondary thickening N. Phytologist 2012 196 1030 1037 PMC3569878 22998410
  76. [83]van Doorn WG van Meeteren U Flower opening and closure: a review J. Exp. Bot. 2003 54 1801 1812 12869518
  77. [84]Stroka KM Water permeation drives tumor cell migration in confined microenvironments Cell 2014 157 611 623 24726433 PMC4365996
  78. [85]Egawa S Miura S Yokoyama H Endo T Tamura K Growth and differentiation of a long bone in limb development, repair and regeneration Dev. Growth Differ. 2014 56 410 424 24860986
  79. [86]Ury, L. A. et al. Campbell Biology (Pearson, 2021).
  80. [87]Davidson LA Keller R DeSimone DW Assembly and remodeling of the fibrillar fibronectin extracellular matrix during gastrulation and neurulation in Xenopus laevis Dev. Dyn. 2004 231 888 895 15517579
  81. [88]Moore, S., Keller, R. & Koehl, M. The dorsal involuting marginal zone stiffens anisotropically during its convergent extension in the gastrula of Xenopus laevis. Development121, 3131–3140 (1995). 7588048
  82. [89]Engler AJ Sen S Sweeney HL Discher DE Matrix elasticity directs stem cell lineage specification Cell 2006 126 677 689 16923388
  83. [90]Chen DY Crest J Streichan SJ Bilder D Extracellular matrix stiffness cues junctional remodeling for 3D tissue elongation Nat. Commun. 2019 10 1 15 31350387 PMC6659696
  84. [91]Pickup MW Mouw JK Weaver VM The extracellular matrix modulates the hallmarks of cancer EMBO Rep. 2014 15 1243 1253 25381661 PMC4264927
  85. [92]Elosegui-Artola A The extracellular matrix viscoelasticity as a regulator of cell and tissue dynamics Curr. Opin. Cell Biol. 2021 72 10 18 33993058
  86. [93]Davies, P. C., Demetrius, L. & Tuszynski, J. A. Cancer as a dynamical phase transition. http://tbiomed.biomedcentral.com/articles/10.1186/1742-4682-8-30 (2011). PMC3177875 21867509 · DOI
  87. [94]Sunyer R Collective cell durotaxis emerges from long-range intercellular force transmission Science 2016 353 1157 1161 27609894
  88. [95]Duda M Polarization of myosin II refines tissue material properties to buffer mechanical stress Dev. Cell 2019 48 245–260.e7 30695698 PMC6353629
  89. [96]Chanet S Actomyosin meshwork mechanosensing enables tissue shape to orient cell force Nat. Commun. 2017 8 1 13 28504247 PMC5440693
  90. [97]Collinet C Rauzi M Lenne PF Lecuit T Local and tissue-scale forces drive oriented junction growth during tissue extension Nat. Cell Biol. 2015 17 1247 1258 26389664
  91. [98]Hakim V Silberzan P Collective cell migration: a physics perspective Rep. Prog. Phys. 2017 80 076601 28282028
  92. [100]Ahmed WW Active mechanics reveal molecular-scale force kinetics in living oocytes Biophysical J. 2018 114 1667 1679 PMC5954280 29642036
  93. [101]Bernheim Groswasser A Gov NS Safran SA Tzlil S Living matter: mesoscopic active materials Adv. Mater. 2018 30 1707028 30256463
  94. [102]Rupprecht JF Singh Vishen A Shivashankar GV Rao M Prost J Maximal fluctuations of confined actomyosin gels: dynamics of the cell nucleus Phys. Rev. Lett. 2018 120 098001 29547335
  95. [103]Berthier L Flenner E Szamel G Glassy dynamics in dense systems of active particles J. Chem. Phys. 2019 150 200901 31153189
  96. [105]Weeks E Crocker J Levitt A Schofield A Weitz D Three-dimensional direct imaging of structural relaxation near the colloidal glass transition Science 2000 287 627 631 10649991
  97. [106]Pouliquen O Velocity correlations in dense granular flows Phys. Rev. Lett. 2004 93 1243 1253 15697862
  98. [109]Thorpe, M. Rigidity percolation. in Physics of Disordered Materials. (eds Adler, D., Fritzsche, H. & Ovshinsky, S. R.) 55–61 (Springer, 1985).
  99. [111]van Hecke M Jamming of soft particles: geometry, mechanics, scaling and isostaticity J. Phys.: Condens. Matter 2009 22 033101 21386274
  100. [112]Rauzi M Verant P Lecuit T Lenne P-F Nature and anisotropy of cortical forces orienting Drosophila tissue morphogenesis Nat. Cell Biol. 2008 10 1401 10 18978783

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Authors
Lenne, P.-F., & Trivedi, V.
Affiliations
  • Centre National de la Recherche Scientifique (FR)
  • European Molecular Biology Laboratory (ES)
Corresponding author
  • Lenne, Pierre-François
  • Trivedi, Vikas
Venue
Nature Communications
Published
2022-02-03
Volume
13
Issue
1
Pages
664-664
ISSN
2041-1723 (ISSN-L)
OpenAlex
W4213020595
Cited by
110
References
4
Citations by year
2026: 30 · 2025: 18 · 2024: 30 · 2023: 24 · 2022: 7 · 2021: 1
FWCI
2.84
Type
journal article
Language
en
Open access
Locations
  • Nature Communications (publishedVersion, cc-by)
  • PubMed Central (publishedVersion, cc-by)
  • PubMed (publishedVersion)
  • HAL AMU (submittedVersion, other-oa)
  • RePEc: Research Papers in Economics (submittedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
Funders
  • Aix-Marseille Université (ANR-16-CONV-0001)
  • European Molecular Biology Laboratory
  • Agence Nationale de la Recherche (ANR-16-CONV-0001, ANR-17-CE13-0032, ANR‐19, ANR-16, ANR-17, ANR-19-CE13-0022)
Topics
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Cell Biology › Cellular Mechanics and Interactions
  • Physical Sciences › Materials Science › Materials Chemistry › Material Dynamics and Properties
  • Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
Keywords
phase transitions, biological tissue, cell mechanics, tissue stiffness, cell-cell interactions, extracellular matrix, collective cell migration, tissue morphogenesis, cancer, biological materials
MeSH terms
Animals, Biomechanical Phenomena, Cell Adhesion, Cell Communication, Computer Simulation, Humans, Models, Theoretical, Thermodynamics, Intracellular Space, Phase Transition, Chemical Phenomena, Viscoelastic Substances

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