A three dimensional soft matter cell model for mechanotransduction

Soft Matter

Volumn 8, Issue 21, 2012, Pages 5765-5776

  Zeng, Xiaowei ^b   Li, Shaofan ^a  

^a 109 McLaughlin Hall   (United States)

^b The University of Texas at San Antonio   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADHESIVE CONTACT; CELL MODEL; CELL NUCLEUS; CELL SHAPES; CELL SPREADING; COARSE-GRAINED; COMPARISON STUDY; COMPUTATIONAL ALGORITHM; EXPERIMENTAL DATA; EXTRACELLULAR ENVIRONMENTS; EXTRACELLULAR MATRICES; EXTRACELLULAR SUBSTRATES; GALERKIN FORMULATION; HYPER ELASTIC; INFORMATION EXCHANGES; LAGRANGE; LIGAND-RECEPTOR INTERACTIONS; MECHANOTRANSDUCTION; MESHFREE; MULTISCALES; NEMATIC FLUIDS; SOFT MATTER;

CYTOLOGY; ELASTICITY; GALERKIN METHODS; PROTEINS; STEM CELLS;

THREE DIMENSIONAL;

EID: 84863188199     PISSN: 1744683X     EISSN: 17446848     Source Type: Journal    
DOI: 10.1039/c2sm07138j     Document Type: Article

References (79)

1. src activation and translocation to cytoskeleton in fetal rat lung cells J. Biol. Chem. 1996 271 7066 7071
2. O. P. Hamill B. Martinac Molecular basis of mechanotransduction in living cells Physiol. Rev. 2001 81 685 740
3. K. S. Kolahi M. R. Mofrad Mechanotransduction: a major regulator of homeostasis and development Wiley Interdiscip. Rev.: Syst. Biol. Med. 2010 2 6 625 639
4. D. E. Discher P. Janmey Y. L. Wang Tissue cells feel and respond to the stiffness of their substrate Science 2005 310 1139 1143
5. A. J. Engler S. Sen H. L. Sweeney D. E. Discher Matrix elasticity directs stem cell lineage specification Cell 2006 126 677 689
6. D. Cuvelier M. Thery Y. Chiu S. Dufour J. Thiery M. Bornens P. Nassoy L. Mahadevan The universal dynamics of cell spreading Curr. Biol. 2007 17 694 699
7. F. Vernerey M. Farsad An Eulerian/XFEM formulation for the large deformation of cortical cell membrane Comput. Methods Biomech. Biomed. Eng. 2011 14 433 445
8. T. Yeung P. C. Georges L. A. Flanagan B. Marg M. Ortiz M. Funaki N. Zahir W. Ming V. Weaver P. A. Janmey Effects of substrate stiffness on cell morphology, cytoskeletal structure, and adhesion Cell Motil. Cytoskeleton 2005 60 24 34
9. M. J. Paszek N. Zahir K. R. Johnson J. N. Lakins G. I. Rozenberg A. Gefen C. A. Reinhart-King S. S. Margulies M. Dembo D. Boettiger D. A. Hammer V. M. Weaver Tensional homeostasis and the malignant phenotype Cancer Cell 2005 8 241 254
10. J. P. Winer S. Oake P. A. Janmey Non-Linear Elasticity of Extracellular Matrices Enables Contractile Cells to Communicate Local Position and Orientation PLoS One 2009 4 7 e6382
11. J. H.-C. Wang Substrate deformation determines actin cytoskeleton reorganization: a mathematical modeling and experimental study J. Theor. Biol. 2000 202 33 41
12. T. Bickel and R. Bruinsma, Focal adhesion: physics of a biological mechano-sensor, 2003, arXiv:condmat0306116v1
13. I. L. Novak B. M. Slepchenko A. Mogilner L. M. Loew Cooperativity between cell contractility and adhesion Phys. Rev. Lett. 2004 93 268109
14. T. Shemesh B. Geiger A. D. Bershadsky M. M. Kozlov Focal adhesions as mechanosensors: a physical mechanism Proc. Natl. Acad. Sci. U. S. A. 2005 102 12383 12388
15. R. Bruinsma Theory of force regulation by nascent adhesion sites Biophys. J. 2005 89 87 94
16. A. Bershadsky M. L. Ran L. Carramusa P.-K. Masha K. Arnold S. Boguslavsky E. Landau Y. Zilberman Cytoskeleton-adhesion crosstalk: molecular and biophysical aspects Life Science Open Day, Weizmann Institute of Science 2006
17. D. R.-B. Aroush H. D. Wagner Shear-stress profile along a cell focal adhesion Adv. Mater. 2006 18 1537 1540
18. A. Besser S. A. Safran Force-induced adsorption and anisotropic growth of focal adhesion Biophys. J. 2006 90 3469 3484
19. U. Schwarz Soft matters in cell adhesion: rigidity sensing on soft elastic substrate Soft Matter 2007 3 263 266
20. F. Rehfeldt D. E. Discher Cell dipoles feel their way Nat. Phys. 2007 3 592 593
21. N. Wang J. D. Tytell D. E. Ingber Mechanotransduction at a distance: mechanically coupling the extracellular matrix with the nucleus Nat. Rev. Mol. Cell Biol. 2009 10 75 82
22. M. A. Wozniak C. Chen Mechanotransduction in development: a growning role for contractility Nat. Rev. Mol. Cell Biol. 2009 10 34 43
23. A. Zemel F. Rehfeldt A. E. X. Brown D. E. Discher S. A. Safran Optimal matrix rigidity for stress-fibre polarization in stem cells Nat. Phys. 2010 6 468 473
24. F. Vernerey M. Farsad A constrained mixture approach to mechano-sensing and force generation in contractile cells J. Mech. Behav. Biomed. Mater. 2011 4 8 1683 1699
25. V. S. Deshpande M. Mrksich R. M. McMeeking A. G. Evans A bio-mechanical model for coupling cell contractility with focal adhesion formation J. Mech. Phys. Solids 2008 56 1484 1510
26. P. Liu Y. W. Zhang Q. H. Cheng C. Lu Simulations of the spreading of a vesicle on a substrate surface mediated by receptor-ligand binding J. Mech. Phys. Solids 2007 55 1166 1181
27. L. Sun Q. H. Cheng H. J. Gao Y. W. Zhang Computational modeling for cell spreading on a substrate mediated by specific interactions, long-range recruiting interactions, and diffusion of binders Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2009 79 061907
28. S. Roy H. Jerry Qi A computational biomimetic study of cell crawling Biomech. Model. Mechanobiol. 2010 9 573 581
29. A. S. Sarvestani E. Jabbari Modeling the kinetics of cell membrane spreading on substrates with ligand density gradient J. Biomech. 2008 41 921 1863
30. A. S. Sarvestani A model for cell motility on soft bio-adhesive substrates J. Biomech. 2011 44 755 758
31. B. Rubinstein M. F. Fournier K. Jacobson A. B. Verkhovsky A. Mogilner actin-myosin viscoelastic flow in the keratocyte lamellipod Biophys. J. 2009 97 1853 1863
32. C. M. Coppin P. C. Leavis Quantitation of liquid-crystalline ordering in F-actin solutions Biophys. J. 1992 63 794 807
33. R. Furukawa R. Kundra M. Fechheimer Formation of liquid crystal from actin filaments Biochemistry 1993 32 12346 12352
34. J. Kas H. Strey J. X. Tang D. Finger R. Ezzell E. Sachmann P. A. Janmey F-actin, a model polymer for semiflexible chains in dilute, semidilute, and liquid crystalline solutions Biophys. J. 1996 70 609 625
35. J. Viamonte S. Narayanan A. R. Sandy J. X. Tang Orientational order parameter of the nematic liquid crystalline phase of F-actin Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2006 73 061901
36. J. Viamontes J. X. Tang Continuous isotropic-nematic liquid crystalline transition of F-actin solutions Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 2003 67 040701
37. P. W. Oakes J. Viamontes J. Tang Growth of tactoidal droplets during the first-order isotropic to nematic phase transition of F-actin Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2007 75 069102
38. J. He M. Mak Y. Liu J. X. Tang Counterion-dependent microrheological properties of F-actin solutions across the isotropic-nematic phase transition Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2008 78 011908
39. X. Zeng S. Li Multiscale modeling and simulation of soft adhesion and contact of stem cells J. Mech. Behav. Biomed. Mater. 2011 4 180 189
40. S. J. Singer G. L. Nicolson The fluid mosaic model of the structure of cell membranes Science 1972 175 720 731
41. W. Helfrich Elastic properties of lipid bilayer: theory and possible experiments Z. Naturforsch., C: J. Biosci. 1973 28 693 703
42. J. P. McGarry B. P. Murphy P. E. McHugh Computational mechanics modeling of cell-substrate contact during cyclic substrate deformation J. Mech. Phys. Solids 2005 53 2597 2637
43. H. Karcher J. Lammerding H. Huang R. T. Lee R. D. Kamm M. R. K. Mofrad A three-dimensional viscoelastic model for cell deformation with experimental verification Biophys. J. 2003 85 3336 3349
44. N. Wang J. P. Butler D. E. Ingber Mechanotransduction across the cell surface and through the cytoskeleton Science 1993 260 1124 1127
45. D. E. Ingber Tensegrity: the architectural basis of cellular mechanotransduction Annu. Rev. Physiol. 1997 59 575 599
46. A. E. Carlsson Contractile stress generation by actomyosin gels Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2006 74 051912
47. F. Chowdhury S. Na D. Li Y. Poh T. S. Tanaka F. Wang N. Wang Material properties of the cell dictate stress-induced spreading and differentiation in embryonic stem cells Nat. Mater. 2010 9 82 88
48. S. J. Woltman G. D. Jay G. P. Crawford Liquid-crystal materials find a new order in biomedical applications Nat. Mater. 2007 6 929 938
49. F. H. Lin C. Liu Existence of solutions for the Ericksen-Leslie system Arch. Ration. Mech. Anal. 2000 154 135 156
50. N. Caille O. Thoumine Y. Tardy J. Meister Contribution of the nucleus to the mechanical properties of endothelial cells J. Biomech. 2002 35 177 187
51. A. J. Maniotis C. S. Chen D. E. Ingber Demonstration of mechanical connections between integrins, cytoskeletal filaments, and nucleoplasm that stabilize nuclear structure Proc. Natl. Acad. Sci. U. S. A. 1997 94 849 854
52. G. Marckmann E. Verron Comparison of hyperelastic models for rubberlike materials Rubber Chem. Technol. 2006 79 5 835 858
53. I. Fried A. R. Johnson A note on elastic energy density functions for largely deformed compressible rubber solids Comput. Methods Appl. Mech. Eng. 1988 69 53 64
54. S. Sen A. J. Engler D. E. Discher Matrix strains induced by cells: computing how far cells can feel Cell. Mol. Bioeng. 2009 2 39 48
55. S. Fereol R. Fodil V. M. Laurent M. Balland B. Louis G. Pelle S. Hnon E. Planus D. Isabey Prestress and adhesion site dynamics control cell sensitivity to extracellular stiffness Biophys. J. 2009 96 2009 2022
56. K. Kruse J. F. Joanny F. Jülicher J. Prost K. Sekimoto Asters, vortices, and rotating spirals in active gels of polar filaments Phys. Rev. Lett. 2004 92 078101
57. K. Kruse J. F. Joanny F. Jülicher J. Prost K. Sekimoto Generic theory of active polar gels: a paradigm for cytoskeletal dynamics Eur. Phys. J. E 2005 16 5 16
58. K. Kruse J. F. Joanny F. Jülicher J. Prost Contractility and retrograde flow in lamellipodium motion Phys. Biol. 2006 3 130 137
59. J. F. Joanny J. Prost Active gels as a description of the actin-myosin cytoskeleton HFSP J. 2009 3 94 104
60. F. Jülicher K. Kruse J. Prost J. F. Joanny Active behavior of the Cytoskeleton Phys. Rep. 2007 449 3 28
61. R. A. Simha S. Ramaswamy Hydrodynamic fluctuations and instabilities in ordered suspensions of self-propelled particles Phys. Rev. Lett. 2002 89 058101
62. S. Ramaswamy M. Rao Active-filament hydrodynamics: instabilities, boundary conditions and rhelogy New J. Phys. 2007 9 423 1 9
63. M. E. Cates S. M. Fielding D. Marenduzzo E. Orlandini J. M. Yeomans Shearing active gels close to the isotropic-nematic transition Phys. Rev. Lett. 2008 101 068102
64. S. A. Edwards J. M. Yeomans Spontaneous flow states in active nematics: A unified picture Europhys. Lett. 2009 85 18008
65. L. M. Yang V. P. W. Shim C. T. Lim A visco-hyperelastoc approach to modelling the constitive behaviour of rubber Int. J. Impact Eng. 2000 24 545 560
66. L. M. Yang V. P. W. Shim A visco-hyperelastic constitutive description of elastomeric foam Int. J. Impact Eng. 2004 30 1099 1110
67. S. Li and W. Kam Liu, Meshfree Particle Methods, Springer, Berlin, 2004
68. R. Sauer S. Li A contact mechanics model for quasi-continua Int. J. Numer. Methods Eng. 2007 71 931 962
69. T. Belytschko, W. K. Liu and B. Moran, Nonlinear Finite Elenments for Continua and Structures, Wiley, 2000
70. X. Zeng S. Li Modeling and simulation of substrate elasticity sensing in stem cells Comput. Methods Biomech. Biomed. Eng. 2011 14 447 458
71. G. A. Holzapfel, Nonlinear Solid Mechanics: A Continuum Approach for Engineering Wiley, 2000
72. J. N. Israelachvili, Intermolecular and surface forces, Academic Press, 3rd edn, 2010
73. Y. Ni M. Chiang Cell morphology and migration linked to substrate rigidity Soft Matter 2007 3 1285 1292
74. J. Y. Wong A. Velasco P. Rajagopalan Q. Pham Directed movement of vascular smooth muscle cells on gradient-compliant hydrogels Langmuir 2003 19 1908 1913
75. R. McBeath D. M. Pirone C. M. Nelson K. Bhadriraju C. S. Chen Cell shape, cytoskeleton tension, and RohA regulate stem cell lineage commitment Dev. Cell 2004 6 483 495
76. A. Boulbitch Z. Guttenberg E. Sackmann Kinetics of membrane adhesion mediated by ligand-receptor interaction studied with a biomimetic system Biophys. J. 2001 81 2743 2751
77. G. I. Bell Models for the specific adhesion of cells to cells Science 1978 200 618 627
78. G. I. Bell M. Dembo P. Bongrand Cell adhesion: competition between nonspecific repulsion and specific bonding Biophys. J. 1984 45 1051 1064
79. U. Seifert Adhesion of vesicles in two dimensions Phys. Rev. A: At., Mol., Opt. Phys. 1991 43 6803 6814