A phenomenological approach to modelling collective cell movement in 2D

Biomechanics and Modeling in Mechanobiology

Volumn 12, Issue 6, 2013, Pages 1089-1100

  Rey, R ^a   Garcia Aznar J M ^a  

^a UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

Cell movement; Cell based model; Numerical simulation; Tissue engineering

Indexed keywords

CELL CULTURE; CELL ENGINEERING; CELLS; TISSUE ENGINEERING;

CELL MOVEMENT; CELL-BASED; CELL-BASED MODEL; CONDITION; IN-SILICO; IN-VITRO TESTS; IN-VIVO; MATHEMATICAL METHOD; PHENOMENOLOGICAL APPROACH; TISSUES ENGINEERINGS;

SUBSTRATES;

ARTICLE; CELL CULTURE; CELL INTERACTION; CELL MIGRATION; CELL MOTION; CELL SPREADING; COMPARATIVE STUDY; FORCE; POLARIZATION; RIGIDITY; WOUND HEALING;

ANIMALS; CELL COMMUNICATION; CELL MOVEMENT; CELL POLARITY; CELLS; CELLS, CULTURED; HUMANS; MODELS, BIOLOGICAL; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; TIME FACTORS; WOUND HEALING;

EID: 84896694667     PISSN: 16177959     EISSN: 16177940     Source Type: Journal    
DOI: 10.1007/s10237-012-0465-9     Document Type: Article

References (49)

1. Ambrosi D, Gamba A, Serini G (2005) Cell directional persistence and chemotaxis in vascular morphogenesis (vol 66, pg 1851, 2004). Bull Math Biol 67(1):195
2. Angelini TE, Hannezo E, Trepat X, Fredberg JJ, Weitz DA (2010) Cell migration driven by cooperative substrate deformation patterns. Phys Rev Lett 104(16):168104
3. Angelini TE, Hannezo E, Trepat X, Marquez M, Fredberg JJ, Weitz DA (2011) Glass-like dynamics of collective cell migration. Proc Natl Acad Sci USA 108(12):4714-4719
4. Arciero JC, Mi Q, Branca MF, Hackam DJ, Swigon D (2011) Continuum model of collective cell migration in wound healing and colony expansion. Biophys J 100(3):535-543
5. Armstrong NJ, Painter KJ, Sherratt JA (2006) A continuum approach to modelling cell-cell adhesion. J Theor Biol 243(1):98-113
6. Beloussov L, Louchinskaia N, Stein A (2000) Tension-dependent collective cell movements in the early gastrula ectoderm of Xenopus laevis embryos. Dev Genes Evol 210(2):92-104
7. Bement W, Forscher P, Mooseker M (1993) A novel cytoskeletal structure involved in purse string wound closure and cell polarity maintenance. J Cell Biol 121(3):565-578
8. Beningo KA, Lo C-M, Wang Y-L (2002) Flexible polyacrylamide substrata for the analysis of mechanical interactions at cell-substratum adhesions. Method Cell Biol 69:325-339
9. Borau C, Kamm RD, Garcia-Aznar JM (2011) Mechano-sensing and cell migration: a 3d model approach. Phys Biol 8(6):1078-1088
10. Buxboim A, Ivanovska IL, Discher DE (2010) Matrix elasticity, cytoskeletal forces and physics of the nucleus: how deeply do cells 'feel' outside and in? J Cell Sci 123(3):297-308
11. Byrne H, Drasdo D (2009) Individual-based and continuum models of growing cell populations: a comparison. J Math Biol 58:657-687
12. Carmona-Fontaine C, Matthews HK, Kuriyama S, Moreno M, Dunn GA, Parsons M, Stern CD, Mayor R (2008) Contact inhibition of locomotion in vivo controls neural crest directional migration. Nature 456(7224):957-961
13. Discher D, Janmey P, Wang Y (2005) Tissue cells feel and respond to the stiffness of their substrate. Science 310(5751):1139-1143
14. Evan G, Vousden K (2001) Proliferation, cell cycle and apoptosis in cancer. Nature 411(6835):342-348
15. Flaherty B, McGarry JP, McHugh PE (2007) Mathematical models of cell motility. Cell Biochem Biophys 49(1):14-28
16. Friedl P, Wolf K (2010) Plasticity of cell migration: a multiscale tuning model. J Cell Biol 188(1):11-19
17. Friedl P, Hegerfeldt Y, Tusch M (2004) Collective cell migration in morphogenesis and cancer. Int J Dev Biol 48(5-6, SI):441-449
18. Geris L, Liedekerke PV, Smeets B, Tijskens E, Ramon H (2010) A cell based modelling framework for skeletal tissue engineering applications. J Biomech 43(5):887-892
19. Gracheva M, Othmer H (2004) A continuum model of motility in ameboid cells. Bull Math Biol 66(1):167-193
20. Grasso S, Hernandez JA, Chifflet S (2007) Roles of wound geometry, wound size, and extracellular matrix in the healing response of bovine corneal endothelial cells in culture. Am J Physiol Cell Physiol 293(4):C1327-C1337
21. Hayashi K (2006) Tensile properties and local stiffness of cells. In: Holzapfel GA, Ogden RW (eds) Mechanics of biological tissue, chap 10. Springer, Berlin/Heidelberg, pp 137-152
22. Helenius J, Heisenberg C-P, Gaub HE, Muller DJ (2008) Single-cell force spectroscopy. J Cell Sci 121(11):1785-1791
23. Huergo MAC, Pasquale MA, González PH, Bolzán AE, Arvia AJ (2011) Dynamics and morphology characteristics of cell colonies with radially spreading growth fronts. Phys Rev E 84(2):021917
24. Jamali Y, Azimi M, Mofrad MRK (2010) A sub-cellular viscoelastic model for cell population mechanics. PLoS ONE 5(8):e12097
25. Kim J-H, Dooling LJ, Asthagiri AR (2010) Intercellular mechanotransduction during multicellular morphodynamics. J R Soc Interface 7(3):S341-S350
26. Kopacz AM, Liu WK, Liu SQ (2008) Simulation and prediction of endothelial cell adhesion modulated by molecular engineering. Comput Method Appl Mech Eng 197(25-28):2340-2352
27. Lin Y-C, Tambe DT, Park CY, Wasserman MR, Trepat X, Krishnan R, Lenormand G, Fredberg JJ, Butler JP (2010) Mechanosensing of substrate thickness. Phys Rev E 82(4, Part 1):041918
28. Lo C, Wang H, Dembo M, Wang Y (2000) Cell movement is guided by the rigidity of the substrate. Biophys J 79(1):144-152
29. Maruthamuthu V, Sabass B, Schwarz US, Gardel ML (2011) Cell-ECM traction force modulates endogenous tension at cell-cell contacts. Proc Natl Acad Sci USA 108(12):4708-4713
30. Matsushita M, Wakita J, Itoh H, Watanabe K, Arai T, Matsuyama T, Sakaguchi H, Mimura M (1999) Formation of colony patterns by a bacterial cell population. Physica A 274(1-2):190-199
31. Newman TJ (2005) Modeling multicellular systems using subcellular elements. Math Biosci Eng 2(3):20
32. Omelchenko T, Vasiliev J, Gelfand I, Feder H, Bonder E (2003) Rho-dependent formation of epithelial "leader" cells during wound healing. Proc Natl Acad Sci USA 100(19):10788-10793
33. Palsson E (2001) A three-dimensional model of cell movement in multicellular systems. Future Gener Comput Syst 17(7):835-852
34. Palsson E, Othmer HG (2000) A model for individual and collective cell movement in dictyostelium discoideum. Proc Natl Acad Sci USA 97(19):10448-10453
35. Pelham R, Wang Y (1997) Cell locomotion and focal adhesions are regulated by substrate flexibility. Proc Natl Acad Sci USA 94(25):13661-13665
36. Raeber G, Lutolf M, Hubbell J (2005) Molecularly engineered peg hydrogels: a novel model system for proteolytically mediated cell migration. Biophys J 89:1374-1388
37. Reinhart-King CA, Dembo M, Hammer DA (2008) Cell-cell mechanical communication through compliant substrates. Biophys J 95(12):6044-6051
38. Schaller G, Meyer-Hermann M (2007) A modelling approach towards epidermal homoeostasis control. J Theor Biol 247(3):554-573
39. Simpson MJ, Baker RE, McCue SW (2011) Models of collective cell spreading with variable cell aspect ratio: a motivation for degenerate diffusion models. Phys Rev E 83(2, Part 1):021901
40. Stylianopoulos T, Barocas VH (2007) Volume-averaging theory for the study of the mechanics of collagen networks. Comput Method Appl Mech Eng 196(31-32):2981-2990
41. Takebayashi T, Iwamoto M, Jikko A, Matsumura T, Enomotoiwamoto M, Myoukai F, Koyama E, Yamaai T, Matsumoto K, Nakamura T, Kurisu K, Noji S (1995) Hepatocyte growth-factor scatter factor modulates cell motility, proliferation, and proteoglycan synthesis of chondrocytes. J Cell Biol 129(5):1411-1419
42. Tambe DT, Hardin CC, Angelini TE, Rajendran K, Park CY, Serra-Picamal X, Zhou EH, Zaman MH, Butler JP, Weitz DA, Fredberg JJ, Trepat X (2011) Collective cell guidance by cooperative intercellular forces. Nat Mater 10(6):469-475
43. Tijskens E, Ramon H, De Baerdemaeker J (2003) Discrete element modelling for process simulation in agriculture. J Sound Vib 266(3):493-514
44. Tranquillo R, Lauffenburger D, Zigmond S (1988) A stochastic-model for leukocyte random motility and chemotaxis based on receptor-binding fluctuations. J Cell Biol 106(2):303-309
45. Trepat X, Fredberg JJ (2011) Plithotaxis and emergent dynamics in collective cellular migration. Trends Cell Biol 21(11):638-646
46. Trepat X, Wasserman MR, Angelini TE, Millet E, Weitz DA, Butler JP, Fredberg JJ (2009) Physical forces during collective cell migration. Nat Phys 5(6):426-430
47. Vermolen F, Gefen A (2012) A semi-stochastic cell-based formalism to model the dynamics of migration of cells in colonies. Biomech Model Mech 11:183-195
48. Zaman MH, Kamm RD, Matsudaira P, Lauffenburger DA (2005) Computational model for cell migration in three-dimensional matrices. Biophys J 89(2):1389-1397
49. Zemel A, Rehfeldt F, Brown AEX, Discher DE, Safran SA (2010) Cell shape, spreading symmetry, and the polarization of stress-fibers in cells. J Phys Condens Matter 22(19):194110