Seeing tissue as a 'phase of matter': Exploring statistical mechanics for the cell

Physical Biology

Volumn 5, Issue 1, 2008, Pages

  Pietak, Alexis ^a,b   Waldman, Stephen D ^a,b  

^a QUEEN S UNIVERSITY   (Canada)

^b KINGSTON GENERAL HOSPITAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BIOMECHANICS; CELL CULTURE; CELL INTERACTION; CELL MOTION; CELL TYPE; FIBROBLAST; HUMAN; HUMAN CELL; MESENCHYMAL STEM CELL; PRIORITY JOURNAL; STATISTICAL ANALYSIS; TISSUE ENGINEERING; BIOLOGICAL MODEL; CELL DIFFERENTIATION; CULTURE TECHNIQUE; CYTOLOGY; MUSCULOSKELETAL SYSTEM; STATISTICAL MODEL; STATISTICS;

BIOMECHANICS; CELL CULTURE TECHNIQUES; CELL DIFFERENTIATION; CELL MOVEMENT; FIBROBLASTS; HUMANS; MESENCHYMAL STEM CELLS; MODELS, BIOLOGICAL; MODELS, STATISTICAL; MUSCULOSKELETAL SYSTEM; TISSUE ENGINEERING;

EID: 42449163472     PISSN: 14783967     EISSN: 14783975     Source Type: Journal    
DOI: 10.1088/1478-3975/5/1/016007     Document Type: Article

References (48)

1. Sharma B and Elisseeff J 2004 Engineering structurally organized cartilage and bone tissues Ann. Biomed. Eng. 32 148-59
2. Curtis A and Riehle M 2001 Tissue engineering: the biophysical background Phys. Med. Biol. 46 R47-65
3. Elsdale T and Foley R 1968 Morphogenetic aspects of multilayering in petri dish cultures of human fetal lung fibroblasts J. Cell Biol. 41 298-311
4. Elsdale T and Bard J 1972 Cellular interactions in mass cultures of human diploid fibroblasts Nature 236 152-5
5. Edelstein-Keshet L 1990 Ermentrout G. models for contact-mediated pattern formation: cells that form parallel arrays J. Math. Biol. 29 33-58
6. Elsdale T and Wasoff F 1976 Fibroblast cultures and dermatoglyphics: The topology of two planar patterns Roux's Arch. Develop. Biol. 180 121-47
7. Squier C and Bausch W 1984 Three-dimensional organization of fibroblasts and collagen fibrils in rat tail tendon Cell Tissure Res. 238 319-27
8. Brunette D 1986 Fibroblasts on micromachined substrata orient hierarchially to grooves of different dimensions Exp. Cell Res. 164 11-26
9. Brunette D 1986 Spreading and orientation of epithelial cells on grooved substrata Exp. Cell Res. 167 203-17
10. Chen S, Mrksich M, Huang S, Whitesides G and Ingber D 1998 Micropatterned surfaces for control of cell shape, position and function Biotech. Prog. 14 356-63
11. Clark P, Connolly P, Curtis A, Dow J and Wilkinson C 1991 Cell guidance by ultrafine topography in vitro J. Cell Sci. 99 73-7
12. den Braber E, de Ruijter J, Ginsel L, von Recum A and Jansen J 1996 Quantitative analysis of fibroblast morphology on microgrooved surfaces with various groove and ridge dimensions Biomaterials 17 2037-44
13. Flemming R, Murphy C, Abrams G, Goodman S and Nealey P 1999 Effects of synthetic micro- and nano- structured surfaces on cell behavior Biomaterials 20 573-88
14. Sarkar S, Dadhania M, Rourke P, Desai T and Wong J 2005 Vascular tissue engineering: microtextured scaffold templates to control organization of vascular smooth muscle cells and extra cellular matrix Acta Biomater. 1 93-1000
15. Pietak A, Gauthier S, MacGregor A and Waldman S 2007 Patterned substrates are unable to organize cells in multilayer constructs (in preparation)
16. Johnson W, Wootton A, El Haj A, Eisenstein S, Curtis A and Roberts S 2006 Topographical guidance of intervertebral disc cell growth in vitro: towards the development of tissue repair strategies for the anulus fibrosus Eur. Spine J. 15 S389-96
17. de Gennes P 1993 Prost. The Physics of Liquid Crystals 2nd edn (Oxford: Clarendon Press)
18. Collings P 1990 Liquid Crystals: Nature's Delecate Phase of Matter (Princeton, NJ: Princeton University Press)
19. Newman S, Forgacs G, Hinner B, Maier C and Sackmann E 2004 Phase transformations in a model mesenchymal tissue Phys. Biol. 1 100-9
20. Sethna J 2007 Statistical Mechanics: Entropy, Order Parameters and Complexity (Oxford: Clarendon Press)
21. Haken H 1983 Synergetics: An Introduction 3rd edn (New York: Springer)
22. Haken H 2006 Synergetics on its way to the life sciences Complexus Mundi: Emergent Patterns in Nature ed M Novak (New Jersey: World Scientific) pp 155-69
23. Sornette D 2000 Critical Phenomena in the Natural Sciences (New York: Springer)
24. Mainzer K 2006 Complexity in Nature and Society Complexus Mundi: Emergent Patterns in Nature ed M Novak (New Jersey: World Scientific) pp 113-33
25. Beekman M, Sumpter D and Ratnieks F 2001 Phase transition between disordered and ordered foraging in Pharaoh's Ants Proc. Natl. Acad. Sci. 98 9703-6
26. Tziampazis E and Sambanis A 1994 Modeling of cell culture processes Cytotechnology 14 191-204
27. Pathra R 1996 Statistical Mechanics (Boston: Butterworth- Heinemann)
28. Avrami M 1939 Kinetics of phase change: I. General theory J. Chem. Phys. 9 1103
29. Avrami M 1940 Kinetics of phase change: II. Transformation- time relations for random distribution of nuclei J. Chem. Phys. 8 212
30. Avrami M 1941 Kinetics of phase change: III. Granulation, phase change and microstructure J. Chem. Phys. 9 177
31. Kayacan O and Cetinel H 2005 A nonextensive statistical approach to the kinetics of phase transformations Physica A 348 223-35
32. Menon A and Bhandarkar S 2004 Predicting polymorphic transformation curves using a logistic equation Int. J. Pharmeceut. 286 125-9
33. Gail M and Boone C 1970 The locomotion of mouse fibroblasts in tissue culture Biophys. J. 10 980-93
34. Dunn G 1983 Characterizing a kinesis response: time averaged measures of cell speed and directional persistence Agents Actions 12 (Suppl.) 14-33
35. Stokes C and Lauffenburger D 1991 Migration of individual microvessel endothelial cells: stochastic model and parameter measurement J. Cell Sci. 99 419-30
36. Sornette D 2000 Critical Phenomena in Natural Sciences (New York: Springer) pp 163-70
37. Vicsek T, Czirok A, Ben-Jacob E, Cohen I and Schochet O 1995 Novel type of phase transition in a system of self-driven particles Phys. Rev. Lett. 75 1226-9
38. Huang S, Brangwynne C, Parker K and Ingber D 2005 Symmetry-breaking in mammalian cell cohort migration during tissue pattern formation: role of random-walk persistence Cell Motil. Cytoskeleton 61 201-13
39. Collings P and Patel J 1997 Handbook of Liquid Crystals (New York: Oxford University Press)
40. Armstrong 2006 A continuum approach to modelling cell-cell adhesion J. Theor. Biol. 243 98-113
41. Hayashi T and Carthew R 2004 Surface mechanics mediate pattern formation in the developing retina Nature 431 647-52
42. Mochizuki 2002 Pattern formation of the cone mosaic in the zebrafish retina: a cell rearrangement model J. Theor. Biol. 215 345-61
43. Lo C, Wang H, Dembo M and Wang Y 2000 Cell movement is guided by the rigidity of the substrate Biophys. J. 79 144-52
44. Gray D, Tien J and Chen C 2003 Repositioning of cells by mechanotaxis on surfaces with micropatterned Young's modulus J. Biomed. Mater. Res. A 66 605-14
45. Discher D, Janmey P and Wang Y 2005 Tissue cells feel and respond to the stiffness of their substrate Mater. Biol. Rev. 310 1139-43
46. Mudera V et al 2000 Molecular responses of human dermal fibroblasts to dual cues: contact guidance and mechanical load Cell Motil. Cytoskeleton 45 1-9
47. Ware M, Wells A and Lauffenburger D 1998 Epidermal growth factor alters fibroblast migration speed and directional persistence reciprocally and in a matrix-dependent manner J. Cell Sci. 111 2423-32
48. Sells M, Boyd J and Chernoff J 1999 p21-activated kinase 1 (Pak1) regulates cell motility in mammalian fibroblasts J. Cell Biol. 145 837-49