Modelling the role of surface stress on the kinetics of tissue growth in confined geometries

Acta Biomaterialia

Volumn 9, Issue 3, 2013, Pages 5531-5543

  Gamsjager E ^a   Bidan, C M ^b   Fischer, F D ^a   Fratzl, P ^b   Dunlop, J W C ^b  

^a INSTITUTE OF MECHANICS   (Austria)

^b MAX PLANCK INSTITUTE OF COLLOIDS AND INTERFACES   (Germany)

Author keywords

Biological material; Cell culture; Surface stress; Thermodynamics; Tissue growth

Indexed keywords

CYLINDERS (SHAPES); GROWTH KINETICS; SURFACE STRESS; THERMODYNAMICS; TISSUE;

BIOLOGICAL TISSUES; CONCAVE SURFACE; CONFIGURATIONAL FORCE; CONFINED GEOMETRIES; CYLINDRICAL GEOMETRY; EIGENSTRAINS; MODEL-BASED OPC; SURFACE STRESS; THEORETICAL FRAMEWORK; TISSUE GROWTH;

CELL CULTURE;

ARTICLE; KINETICS; PRIORITY JOURNAL; SURFACE STRESS; TISSUE CULTURE; TISSUE GROWTH;

EID: 84873197336     PISSN: 17427061     EISSN: 18787568     Source Type: Journal    
DOI: 10.1016/j.actbio.2012.10.020     Document Type: Article

References (47)

1. A.J. Engler, S. Sen, H.L. Sweeney, and D.E. Discher Matrix elasticity directs stem cell lineage specification Cell 126 2006 677 689 (Pubitemid 44233625)
2. D.E. Discher, P. Janmey, and Y.L. Wang Tissue cells feel and respond to the stiffness of their substrate Science 310 2005 1139 1143 (Pubitemid 41681732)
3. N. Huebsch Harnessing traction-mediated manipulation of the cell/matrix interface to control stem-cell fate Nat Mater 9 2010 518 526
4. P.M. Gilbert Substrate elasticity regulates skeletal muscle stem cell self-renewal in culture Science 329 2010 1078 1081
5. F. Gentile Cells preferentially grow on rough substrates Biomaterials 31 2010 7205 7212
6. M. Arnold Cell interactions with hierarchically structured nano-patterned adhesive surfaces Soft Matter 5 2009 72 77
7. E.A. Cavalcanti-Adam, T. Volberg, A. Micoulet, H. Kessler, B. Geiger, and J.P. Spatz Cell spreading and focal adhesion dynamics are regulated by spacing of integrin ligands Biophys J 92 2007 2964 2974 (Pubitemid 46557869)
8. C.S. Chen, M. Mrksich, S. Huang, G.M. Whitesides, and D.E. Ingber Geometric control of cell life and death Science 276 1997 1425 1428 (Pubitemid 27235413)
9. K.A. Kilian, B. Bugarija, B.T. Lahn, and M. Mrksich Geometric cues for directing the differentiation of mesenchymal stem cells Proc Natl Acad Sci USA 107 2010 4872 4877
10. M. Thery, A. Pepin, E. Dressaire, Y. Chen, and M. Bornens Cell distribution of stress fibres in response to the geometry of the adhesive environment Cell Motil Cytoskeleton 63 2006 341 355 (Pubitemid 43787719)
11. E. Cukierman, R. Pankov, D.R. Stevens, and K.M. Yamada Taking cell-matrix adhesions to the third dimension Science 294 2001 1708 1712 (Pubitemid 33104840)
12. P. Kollmannsberger, C.M. Bidan, J.W.C. Dunlop, and P. Fratzl The physics of tissue patterning and extracellular matrix organisation: how cells join forces Soft Matter 7 2011 9549 9560
13. C.M. Nelson Emergent patterns of growth controlled by multicellular form and mechanics Proc Natl Acad Sci USA 102 2005 11594 11599 (Pubitemid 41170771)
14. M. Rumpler, A. Woesz, J.W.C. Dunlop, J.T. van Dongen, and P. Fratzl The effect of geometry on three-dimensional tissue growth J Roy Soc Int 5 2008 1173 1180
15. C.M. Bidan How linear tension converts to curvature: geometric control of bone tissue growth PLoS One 7 2012 e36336
16. K.P. Kommareddy Two stages in three-dimensional in vitro growth of tissue generated by osteoblastlike cells Biointerphases 5 2010 45 52
17. J.W.C. Dunlop, F.D. Fischer, E. Gamsjäger, and P. Fratzl A theoretical model for tissue growth in confined geometries J Mech Phys Sol 58 2010 1073 1087
18. U. Ripamonti, and L. Roden Biomimetics for the induction of bone formation Expert Rev Med Devic 7 2010 469 479
19. U. Ripamonti, L.C. Roden, and L.F. Renton Osteoinductive hydroxyapatite-coated titanium implants Biomaterials 33 2012 3813 3823
20. F. Shapiro Bone development and its relation to fracture repair. The role of mesenchymal osteoblasts and surface osteoblasts Eur Cells Mater 15 2008 53 76 (Pubitemid 351958405)
21. M. Kerschnitzki, W. Wagermaier, Y.F. Liu, P. Roschger, G.N. Duda, and P. Fratzl Poorly ordered bone as an endogenous scaffold for the deposition of highly oriented lamellar tissue in rapidly growing ovine bone Cells Tissues Organs 194 2011 119 123
22. K.H. Schuckert, and M. Osadnik Bone tissue engineering in oral surgery: a new method of bone development in periodontal surgery Tissue Eng Part C Methods 17 2011 1179 1187
23. H. Jinnai, H. Watashiba, T. Kajihara, Y. Nishikawa, M. Takahashi, and M. Ito Surface curvatures of trabecular bone microarchitecture Bone 30 2002 191 194 (Pubitemid 34044318)
24. D. Ambrosi, and F. Guana Stress-modulated growth Math Mech Sol 12 2007 319 342 (Pubitemid 47039403)
25. D. Ambrosi, and A. Guillou Growth and dissipation in biological tissues Cont Mech Thermodyn 19 2007 245 251 (Pubitemid 47460544)
26. D. Ambrosi Perspectives on biological growth and remodeling J Mech Phys Sol 59 2011 863 883
27. M. Epstein, and G.A. Maugin Thermomechanics of volumetric growth in uniform bodies Int J Plast 16 2000 951 978
28. L. Onsager Reciprocal relations in irreversible processes. I Phys Rev 37 1931 405 426
29. J. Svoboda, I. Turek, and F.D. Fischer Application of the thermodynamic extremal principle to modeling of thermodynamic processes in material sciences Philos Mag 85 2005 3699 3707
30. J.-F. Ganghoffer Mechanical modeling of growth considering domain variation - Part II: Volumetric and surface growth involving Eshelby tensors J Mech Phys Sol 58 2010 1434 1459
31. B. Loret, and F.M.F. Simoes Elastic-growing tissues: a growth rate law that satisfies the dissipation inequality Mech Mater 42 2010 782 796
32. N. Hodge, and P. Papadopoulos A continuum theory of surface growth Proc Roy Soc A 466 2010 3135 3152
33. T. Lecuit, and P.F. Lenne Cell surface mechanics and the control of cell shape, tissue patterns and morphogenesis Nat Rev Mol Cell Biol 8 2007 633 644 (Pubitemid 47108184)
34. F. Graner, and J.A. Glazier Simulation of biological cell sorting using a 2-dimensional extended Potts-model Phys Rev Lett 69 1992 2013 2016
35. A.F.M. Maree, and P. Hogeweg How amoeboids self-organize into a fruiting body: multicellular coordination in Dictyostelium discoideum Proc Natl Acad Sci USA 98 2001 3879 3883 (Pubitemid 32249865)
36. M. Krieg Tensile forces govern germ-layer organization in zebrafish Nat Cell Biol 10 2008 429 436
37. J. Käfer, T. Hayashi, A.F.M. Marée, R.W. Carthew, and F. Graner Cell adhesion and cortex contractility determine cell patterning in the Drosophila retina Proc Natl Acad Sci USA 104 2007 18549 18554 (Pubitemid 350210734)
38. R.C. Cammarata Surface and interface stress effects in thin-films Prog Surf Sci 46 1994 1 38
39. F.D. Fischer, T. Waitz, D. Vollath, and N.K. Simha On the role of surface energy and surface stress in phase-transforming nanoparticles Prog Mater Sci 53 2008 481 527
40. P. Hecquet Stability of vicinal surfaces and role of the surface stress Surf Sci 604 2010 834 852
41. D. Kondepudi, I. Prigogine, and Thermodynamics Modern From heat engines to dissipative structures 1998 Wiley Chichester
42. Guevorkian K, Colbert MJ, Durth M, Dufour S, Brochard-Wyart F, Aspiration of biological viscoelastic drops. Phys Rev Lett 2010;104:218101.
43. D.A. Porter, K.E. Easterling, and M.Y. Sherif Transformations in metals and alloys 3rd ed. 2009 CRC Press/Taylor & Francis Boca Raton, FL
44. I. Bischofs, F. Klein, D. Lehnert, M. Bastmeyer, and U. Schwarz Filamentous network mechanics and active contractility determine cell and tissue shape Biophys J 95 2008 3488 3496
45. D.E. Moulton, and A. Goriely Circumferential buckling instability of a growing cylindrical tube J Mech Phys Sol 59 2011 525 537
46. J. Dervaux, and M. Ben Amar Buckling condensation in constrained growth J Mech Phys Sol 59 2011 538 560
47. B. Li, Y.P. Cao, X.J. Feng, and J.J. Gao Surface wrinkling of mucosa induced by volumetric growth: Theory, simulation and experiment J Mech Phys Sol 59 2011 758 774