A sub-cellular viscoelastic model for cell population mechanics

PLoS ONE

Volumn 5, Issue 8, 2010, Pages

  Jamali, Yousef ^a   Azimi, Mohammad ^a   Mofrad, Mohammad R K ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APOPTOSIS; ARTICLE; BIOCHEMISTRY; BIOMECHANICS; CELL ADHESION; CELL COMMUNICATION; CELL DIVISION; CELL GROWTH; CELL INTERACTION; CELL MEMBRANE; CELL NUCLEUS; CELL POPULATION; CELL SHAPE; CELL STRUCTURE; COMPUTER MODEL; CYTOLOGY; CYTOSKELETON; EPITHELIUM CELL; EXTRACELLULAR MATRIX; MATHEMATICAL MODEL; MONOLAYER CULTURE; MORPHOGENESIS; POLARIZATION; TISSUE GROWTH; TISSUE STRUCTURE; VISCOELASTICITY; BIOLOGICAL MODEL; CELL MOTION; CELL PROLIFERATION; CYTOPLASM; ELASTICITY; INTRACELLULAR SPACE; METABOLISM; VISCOSITY;

BIOMECHANICS; CELL ADHESION; CELL COMMUNICATION; CELL MOVEMENT; CELL PROLIFERATION; CYTOPLASM; ELASTICITY; EPITHELIAL CELLS; EXTRACELLULAR MATRIX; INTRACELLULAR SPACE; MODELS, BIOLOGICAL; VISCOSITY;

EID: 77957769697     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0012097     Document Type: Article

References (81)

1. O'Brien LE, Zegers MMP, Mostov E.K. (2002) Building epithelial architecture: insights from three-dimensional culture models. Nature Reviews Molecular Cell Biology 3: 7.
2. Debnath J, Brugge JS (2005) Modelling glandular epithelial cancers in threedimensional cultures. Nature review cancer 5: 14.
3. Wang AZ (1990) Steps in the morphogenesis of a polarized epithelium. I. Uncoupling the roles of cell-cell and cell-substratum contact in establishing plasma membrane polarity in multicellular epithelial (MDCK) cysts. 15 p.
4. Zegers MMP, O'Brien LE, Yu W, Datta A, Mostov KE (2003) Epithelial polarity and tubulogenesis in vitro. Trends in Cell Biology 13: 8.
5. Hogan BLM, Kolodziej PA (2002) Molecular mechanisms of tubulogenesis. Nat Rev Genet 3: 11.
6. Affolter M, Bellusci Sr, Itoh N, Shilo B, Thiery J-P, et al. (2003) Tube or not tube: Remodeling epithelial tissues by branching morphogenesis. Developmental Cell 4: 8.
7. Clark EA, Brugge JS (1995) Integrins and signal transduction pathways: the road taken. Science 268: 7.
8. Ettinger L, Doljanski F (1992) On the generation of form by the continuous interaction between cells and their extracellular matrix. Biol Rev 67: 11.
9. Gumbiner BM (2005) Regulation of cadherin-mediated adhesion in morphogenesis. Nature Reviews Molecular Cell Biology 6: 13.
10. Hagios C, Lochter A, Bissell MJ (1998) Tissue architecture: The ultimate regulator of epithelial function? PhilTrans R Soc Lond B 353: 4.
11. Lecuit T, Lenne P-F (2007) Cell surface mechanics and the control of cell shape, tissue patterns and morphogenesis. Nature Review Molecular Cell Biology 8: 12.
12. Lecuit T (2005) Adhesion remodeling underlying tissue morphogenesis. Trends in Cell Biology 15: 9.
13. Lecuit T, Pilot F (2003) Developmental control of cell morphogenesis: a focus on membrane growth. Nat Cell Biol 5: 6.
14. Anderson ARA (2005) A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion. Mathematical Medicine and Biology 22: 24
15. Turner S, Sherratt JA (2002) Intercellular adhesion and cancer iInvasion: A discrete simulation using the extended Potts model. Journal of Theoretical Biology 216: 16.
16. Freed LE, Vunjak-Novakovic G (1998) Culture of organized cell communities. Advanced Drug Delivery Reviews 33: 16.
17. Buck CA, Baldwin HS, DeLisser H, Mickanin C, Shen H-M, et al. (1993) Cell adhesion receptors and early mammalian heart development: an overview. Comptes Rendus de l Academie des Sciences Serie iii, Sciences de la Vie 316: 838-859.
18. CHAPLAIN MAJ (1996) Avascular growth, angiogenesis and vascular growth in solid tumours: The mathematical modelling of the stages of tumour development. Mathematical and computer modelling 23: 47-87.
19. Araujo RP, Mcelwain DLS (2004) A history of the study of solid tumour growth: The contribution of mathematical modelling. Bulletin of mathematical biology 66: 43.
20. Dormann S, Deutsch A (2002) Modeling of self-organized avascular tumor growth with a hybrid cellular automaton. In Silico Biology 2: 14.
21. Kansal AR, Torquatob S, Harsh GR, Chiocca EA, Deisboeck TS (2000) Simulated brain tumor growth dynamics using a three-dimensional cellular automaton. Journal of Theoretical Biology 203: 16.
22. Anderson ARA, Pitcarin AW (2003) Application of the Hybrid Discrete-Continuum Technique. In: Alt W, Chaplain M, Griebel M, Lenz J, eds. Polymer and Cell Dynamics Birkhauser. pp 261-279.
23. Düchting W, Ulmer W, Ginsberg1 T (1996) Cancer: A challenge for control theory and computer modelling. European Journal of Cancer 32: 10.
24. Ermentrout GB, Edelstein-Keshet L (1993) Cellular Automata Approaches to Biological Modeling. Journal of Theoretical Biology 160: 37.
25. Alber M, Kiskowski M, Glazier J, Jiang Y (2003) On cellular automaton approaches to modeling biological cells. In: Rosenthal J, Gilliam DS, eds. Mathematical Systems Theory in Biology, Communications, Computation and Finance Institute for Mathematics and Its Applications. 1 p.
26. Drasdo D, Kree R, McCaskill J (1995) Monte-carlo approach to tissue-cell populations. Phys Rev E 52: 23.
27. Drasdo D, Hoehme S, Block M (2007) On the role of physics in the growth and pattern formation of multi-cellular systems: What can we learn from individualcell based models? Journal of Statistical Physics 128: 59.
28. Dallon J, Othmer H (2004) How cellular movement determines the collective force generated by the dictyostelium discoideum slug. J theor Biol 231: 20.
29. Galle J, Loeffler M, Drasdo D (2005) Modelling the effect of deregulated proliferation and apoptosis on the growth dynamics of epithelial cell populations in vitro. Biophys J 88: 4.
30. Newman TJ (2005) Modeling multicellular systems using subcellular elements. Mathematical Biosciences and Engineering 2: 11.
31. Sandersius SA, Newman TJ (2008) Modeling cell rheology with the Subcellular Element Model. Physical Biology.
32. Palsson E, Othmer HG (2000) A model for individual and collective cell movement in Dictyostelium discoideum. PNAS 97: 6.
33. palsson E (2001) A three-dimensional model of cell movement in multicellular systems. Future Generation Computer Systems 17: 18.
34. Coskuna H, Lib Y, Mackey MA (2007) Ameboid cell motility: A model and inverse problem, with an application to live cell imaging data. Journal of Theoretical Biology 244: 11.
35. Rejniak KA (2007) An immersed boundary framework for modelling the growth of individual cells: An application to the early tumour development. Journal of Theoretical Biology 247: 19.
36. Rejniak KA, Anderson ARA (2007) A computational study of the development of epithelial acini: I. Sufficient conditions for the formation of a hollow structure. Bulletin of Mathematical Biology.
37. Rejniak KA, Dillon RH (2007) A single cell-based model of the ductal tumour microarchitecture. Computational and Mathematical Methods in Medicine 8: 9.
38. Rejniak KA, Kliman HJ, Fauci LJ (2004) A computational model of the mechanics of growth of the villous trophoblast bilayer. Bulletin of Mathematical Biology. 34 p.
39. Mofrad MRK, Kamm RD (2006) Cytoskeletal mechanics; Chien S, Saltzman WM, eds. Cambridge: Cambridge University Press. 252 p.
40. Fabry B, Maksym GN, Butler JP, Glogauer M, Navajas D, et al. (2003) Time scale and other invariants of integrative mechanical behavior in living cells. Physical Review E 68: 41914.
41. Gunst SJ, Fredberg JJ (2003) The first three minutes: smooth muscle contraction, cytoskeletal events, and soft glasses Am Physiological Soc. pp 413-425.
42. Yeung A, Evans E (1989) Cortical shell-liquid core model for passive flow of liquid-like spherical cells into micropipets. Biophysical Journal 56: 11.
43. Hochmuth RM, Ting-Beall HP, Beaty BB, Needham D, Tran-Son-Tay R (1993) Viscosity of passive human neutrophils undergoing small deformations. Biophysical Journal 64: 5.
44. Galli C, Guizzardi S, Passeri G, Macaluso GM, Scandroglio R (2005) Life on the wire: on tensegrity and force balance in cells. Acta Bio Med 76: 8.
45. Sultan C, Stamenovic D, Ingber DE (2004) A computational tensegrity model predicts dynamic rheological behaviors in living cells. Annals of Biomedical Engineering 32: 11.
46. Ingber DE (2003) Tensegrity I. Cell structure and hierarchical systems biology. Journal of Cell Science 116: 17.
47. Ingber DE (2003) Tensegrity II. How structural networks influence cellular information processing networks. Journal of Cell Science 116: 12.
48. Cañadas P, Laurent VM, Oddou C, Isabey D, Wendling S (2002) A cellular tensegrity model to analyse the structural viscoelasticity of the cytoskeleton. Journal of Theoretical Biology 218: 19.
49. Wang N, Naruse K, Stamenovic D, Fredberg JJ, Mijailovich SM, et al. (2001) Mechanical behavior in living cells consistent with the tensegrity model. Proceedings of the National Academy of Sciences 98: 7765.
50. Ingber DE, Heidemann SR (2000) Opposing views on tensegrity as a structural framework for understanding cell mechanics. J Appl Physiol 89: 8.
51. Chen CS, Ingber DE (1999) Tensegrity and mechanoregulation: from skeleton to cytoskeleton. Osteoarthritis and Cartilage 7: 14.
52. Castano E, Philimonenko VV, Kahle M, Fukalova J, Kalendova A, et al. (2010) Actin complexes in the cell nucleus: new stones in an old field. Histochem Cell Biol.
53. Ostlund C, Folker ES, Choi JC, Gomes ER, Gundersen GG, et al. (2009) Dynamics and molecular interactions of linker of nucleoskeleton and cytoskeleton (LINC) complex proteins. J Cell Sci 122: 4099-4108.
54. Dahl KN, Ribeiro AJ, Lammerding J (2008) Nuclear shape, mechanics, and mechanotransduction. Circ Res 102: 1307-1318.
55. Wang N, Tytell JD, Ingber DE (2009) Mechanotransduction at a distance: mechanically coupling the extracellular matrix with the nucleus. Nature Reviews Molecular Cell Biology 10: 75-82.
56. Wei C, Lintilhac PM (2003) Loss of stability-a new model for stress relaxation in plant cell walls. Journal of Theoretical Biology 224: 8.
57. Bereiter-Hahn J (1985) Architecture of tissue cells the structural basis which determines shape and locomotion of cells. Acta Biotheoretica 34: 10.
58. Tran-Son-Tay R, Sutera SP, Zahalak GI, Rao PR (1987) Membrane stress and internal pressure in a red blood cell freely suspended in a shear flow. Biophysical Journal 51: 10.
59. Charras GT, Yarrow JC, Horton MA, Mahadevan L, Mitchison TJ (2005) Nonequilibration of hydrostatic pressure in blebbing cells. Nature 435: 5.
60. Yoshida K, Soldati T (2006) Dissection of amoeboid movement into two mechanically distinct modes. Journal of Cell Science 119: 3833.
61. Chandran PL, Mofrad MRK (2010) Averaged implicit hydrodynamic model of semiflexible filaments. Physical Review E 81.
62. Gong Y, Mo C, Fraser SE (2004) Planar cell polarity signalling controls cell division orientation during zebrafish gastrulation. Nature 430: 689-693.
63. Thery M, Jimenez-Dalmaroni A, Racine V, Bornens M, Julicher F (2007) Experimental and theoretical study of mitotic spindle orientation. Nature 447: 493-496.
64. Siegrist SE, Doe CQ (2006) Extrinsic cues orient the cell division axis in Drosophila embryonic neuroblasts. Development 133: 529-536.
65. Lodish H, Berk A, Matsudaira P, Kaiser CA, Krieger M, et al. (2003) Molecular cell biology W.H. Freeman & Company.
66. Bray D (2001) Cell Movements: From Molecules to Motility Garland Publishing.
67. Bottino D, Mogilner A, Roberts T, Stewart M, Oster G (2002) How nematode sperm crawl. Journal of Cell Science 115: 367-384.
68. Mogilner A, Verzi DW (2003) A Simple 1-D Physical Model for the Crawling Nematode Sperm Cell. Journal of Statistical Physics 110: 1169-1189.
69. Flaherty B, McGarry JP, McHugh PE (2007) Mathematical Models of Cell Motility. Cell Biochemistry and Biophysics 49: 14-28.
70. Gruber HE, Hanley Jr. EN (2000) Human disc cells in monolayer vs 3D culture: cell shape, division and matrix formation. BMC Musculoskelet Disord 1: 1.
71. Brodland GW, Chen HH (2000) The mechanics of heterotypic cell aggregates: Insights from computer simulations. Journal of Biomechanical Engineering 122: 402.
72. Hall HG, Farson DA, Bissell MJ (1982) Lumen formation by epithelial cell lines in response to collagen overlay: a morphogenetic model in culture. Proceedings of the National Academy of Sciences of the United States of America 79: 4672.
73. Ojakian GK (2001) Integrin regulation of cell-cell adhesion during epithelial tubule formation. 12 p.
74. Ingber DE (2006) Mechanical control of tissue morphogenesis during embryological development. Int J Dev Biol 50: 12.
75. Debnath J, Mills KR, Collins NL, Reginato MJ, Muthuswamy SK, et al. (2002) The Role of Apoptosis in Creating and Maintaining Luminal Space within Normal and Oncogene-Expressing Mammary Acini. Cell 111: 12.
76. Mofrad M, Kamm R, eds (2009) Cellular Mechanotransduction: Diverse Perspectives from Molecules to Tissues. Cambridge, UK: Cambridge University Press.
77. Lee SE, Kamm RD, Mofrad MRK (2007) Force-induced activation of Talin and its possible role in focal adhesion mechanotransduction. Journal of Biomechanics 40: 2096-2106.
78. Goldmann WH (2002) Mechanical aspects of cell shape regulation and signaling. Cell Biology International 26: 313-318.
79. Vogel V, Sheetz MP (2009) Cell fate regulation by coupling mechanical cycles to biochemical signaling pathways. Current Opinion in Cell Biology.
80. Howard J (2009) Mechanical Signaling in Networks of Motor and Cytoskeletal Proteins. Annual Review of Biophysics 38.
81. Kamm RD, Kaazempur-Mofrad MR (2004) On the Molecular Basis forMechanotransduction. MCB 1: 10.