The role of fluctuations and stress on the effective viscosity of cell aggregates

Proceedings of the National Academy of Sciences of the United States of America

Volumn 106, Issue 41, 2009, Pages 17271-17275

  Marmottant, Philippe ^a   Mgharbel, Abbas ^b   Käfer, Jos ^a   Audren, Benjamin ^b   Rieu, Jean Paul ^b   Vial, Jean Claude ^a   Van Der Sanden, Boudewijn ^c   Marée, Athanasius F M ^d   Graner, François ^a,e   Delanoë Ayari, Hélène ^b  

^a UNIV GRENOBLE ALPES   (France)

^b UNIVERSITÉ LYON 1   (France)

^c GRENOBLE INSTITUT DES NEUROSCIENCES   (France)

^d UTRECHT UNIVERSITY   (Netherlands)

^e INSTITUT CURIE   (France)

Author keywords

Cellular Potts model; Statistical model; Surface tension

Indexed keywords

ARTICLE; CELL AGGREGATION; CELL SHAPE; CELL STRESS; CELL STRUCTURE; COMPRESSION; DECOMPRESSION; ENERGY; GEOMETRY; MATHEMATICAL COMPUTING; PREDICTION; PRIORITY JOURNAL; SHEAR STRESS; SIMULATION; SURFACE TENSION; VISCOSITY;

ANIMALS; BIOMECHANICS; CELL AGGREGATION; CELL CYCLE; CELL LINE, TUMOR; CELL SIZE; CELLS; COMPRESSIVE STRENGTH; ELASTICITY; EMULSIONS; MICE; STRESS, MECHANICAL; VISCOSITY;

EID: 70350452764     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.0902085106     Document Type: Article

References (33)

1. Holtfreter J (1944) Experimental studies on the development of the pronephros. Rev Can Biol 3:220-250.
2. Lin RZ, Chang HY (2008) Recent advances in three-dimensional multicellular spheroid culture for biomedical research. Biotechnol J 3:1172-1184.
3. Mgharbel A, Delanoë-Ayari H, Rieu J-P (2009) Measuring accurately liquid and tissue surface tension with a compression plate tensiometer. HFSP J 3:213-221.
4. Steinberg MS (2007) Differential adhesion in morphogenesis: A modern view. Curr Opin Genet Dev 17:281-286.
5. Wilson HV (1907) On some phenomena of coalescence and regeneration in sponges. J Exp Zool 5:245-258.
6. Steinberg MS (1963) Reconstruction of tissues by dissociated cells. Some morphogenetic tissue movements and the sorting out of embryonic cells may have a common explanation. Science 141:401-408.
7. Foty RA, Forgacs G, Pfleger CM, Steinberg MS (1994) Liquid properties of embryonic tissues: Measurement of interfacial tensions. Phys Rev Lett 72:2298-2301. (Pubitemid 24975149)
8. Norotte C, Marga F, Neagu A, Kosztin I, Forgacs G (2008) Experimental evaluation of apparent tissue surface tension based on the exact solution of the Laplace equation. Europhys Lett 81:R163-R165.
9. Foty RA, Pfleger CM, Forgacs G, Steinberg MS (1996) Surface tensions of embryonic tissues predict their mutual envelopment behavior. Development 122:1611-1620. (Pubitemid 26159647)
10. Gordon R, Goel NS, Steinberg MS, Wiseman LL (1972) A rheological mechanism sufficient to explain the kinetics of cell sorting. J Theor Biol 37:43-73.
11. Jakab K, Damon B, Marga F, Doaga O, Mironov V, Kosztin I, Markwald R, Forgacs G (2008) Relating cell and tissue mechanics: Implications and applications., Dev Dyn 237:2438-2449.
12. Mombach JCM, Robert D, Graner F, Gillet G, Thomas GL, Idiart M, Rieu JP (2005) Rounding of aggregates of biological cells: Experiments and simulations, Physica A 352:525-534.
13. Forgacs G, Foty RA, Shafrir Y, Steinberg MS (1998) Viscoelastic properties of living embryonic tissues: A quantitative study. Biophys J 74:2227-2234. (Pubitemid 28225220)
14. Brodland GW, Chen DI, Veldhuis JH (2006) A cell-based constitutive model for embryonic epithelia and other planar aggregates of biological cells. Int J Plasticity 22:965-995.
15. Malik WA, Prasad SC, Rajagopal KR, Preziosi L (2008) On the modeling of the viscoelastic response of embryonic tissues. Math Mech Solids 13:81-91.
16. Phillips HM, Steinberg MS (1978) Embryonic tissues as elasticoviscous liquids. I. Rapid and slow shape changes in centrifuged cell aggregates. J Cell Sci 30:1-20.
17. Phillips HM, Steinberg MS, Lipton BH (1977) Embryonic tissues as elasticoviscous liquids. II. Direct evidence for cell slippage in centrifuged aggregates. Dev Biol 59:124-134.
18. Yang J, Brodland GW (2009) Estimating interfacial tension from the shape histories of cells in compressed aggregates: A computational study. Ann Biomed Eng 37:1019-1027.
19. Graner F (1993) Can surface-adhesion drive cell-rearrangement. 1. Biological cell-sorting. J Theor Biol 164:455-476. (Pubitemid 23353294)
20. Weaire D, Rivier N (1984) Soap, cells and statistics - Random patterns in two dimensions. Contemp Phys 25:59-99.
21. Marmottant P, Raufaste C, Graner F (2008) Discrete rearranging disordered patterns, part II: 2D plasticity, elasticity and flow of a foam. Eur Phys J E 25:371-384.
22. Mombach JC, Glazier JA, Raphael RC, Zajac M (1995) Quantitative comparison between differential adhesion models and cell sorting in the presence and absence of fluctuations. Phys Rev Lett 75:2244-2247.
23. Beysens DA, Forgacs G, Glazier JA (2000) Cell sorting is analogous to phase ordering in fluids. Proc Natl Acad Sci USA 97:9467-9471. (Pubitemid 30650798)
24. Rieu JP, Upadhyaya A, Glazier JA, Ouchi NB, Sawada Y (2000) Diffusion and deformations of single hydra cells in cellular aggregates. Biophys J 79:1903-1914. (Pubitemid 30761440)
25. Mombach JC, Glazier JA (1996) Single cell motion in aggregates of embryonic cells. Phys Rev Lett 76:3032-3035. (Pubitemid 126639059)
26. Eyring H (1935) The activated complex in chemical reactions. J Chem Phys 3:107-115.
27. Krieg M, et al. (2008) Tensile forces govern germ-layer organization in zebrafish. Nat Cell Biol 10:429-436.
28. Yamada S, Wirtz D, Kuo SC (2000) Mechanics of living cells measured by laser tracking microrheology. Biophys J 78:1736-1747. (Pubitemid 30183572)
29. Watanabe N, Mitchison TJ (2002) Single-molecule speckle analysis of actin filament turnover in lamellipodia, Science 295:1083-1086. (Pubitemid 34132240)
30. Nagafuchi A, Shirayoshi Y, Okazaki K, Yasuda K, Takeichi M (1987) Transformation of cell adhesion properties by exogenously introduced E-cadherin cDNA. Nature 329:341-343. (Pubitemid 17125410)
31. Graner F, Glazier JA (1992) Simulation of biological cell sorting using a two-dimensional extended Potts model. Phys Rev Lett 69:2013-2016.
32. Marée AFM, Grieneisen VA, Hogeweg P (2007) The cellular Potts model and biophysical properties of cells, tissues and morphogenesis. Single Cell Based Models in Biology and Medicine, eds Anderson ARA, Chaplain MAJ, Rejniak KA (Birkhäuser, Basel), pp 107-136.
33. Käfer, J (2008) From cells to tissues: Physical modelling of the collective behaviour of embryonic cells. PhD thesis, University Joseph Fourier-Grenoble I, available at http://tel.archives-ouvertes.fr/tel-00346418/ fr/.