Experimental characterization and computational modelling of two-dimensional cell spreading for skeletal regeneration

Journal of the Royal Society Interface

Volumn 4, Issue 17, 2007, Pages 1107-1117

  Sengers, Bram G ^a   Please, Colin P ^b   Oreffo, Richard O C ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

^b UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

Cell migration; Image analysis; Mathematical modelling; Skeletal tissue engineering

Indexed keywords

ARTICLE; BONE MARROW CELL; BONE REGENERATION; CELL INTERACTION; CELL MIGRATION; CELL POPULATION; CELL PROLIFERATION; CELL SPREADING; CELL TYPE; CELLULAR DISTRIBUTION; CONTROLLED STUDY; HUMAN; HUMAN CELL; IMAGE ANALYSIS; MATHEMATICAL MODEL; OSTEOBLAST; POROSITY; PREDICTION; STROMA CELL; THEORETICAL MODEL; TISSUE ENGINEERING;

EID: 37349111414     PISSN: 17425689     EISSN: 17425662     Source Type: Journal    
DOI: 10.1098/rsif.2007.0233     Document Type: Article

References (43)

1. Abercrombie, M. 1980 The croonian lecture, 1978: the crawling movement of metazoan cells. Proc. R. Soc. B 207, 129-147. (doi:10.1098/rspb.1980.0017)
2. Bancroft, G. N., Sikavitsas, V. I., Van den Dolder, J., Sheffield, T. L., Ambrose, C. G., Jansen, J. A. & Mikos, A. G. 2002 Fluid flow increases mineralized matrix deposition in 3D perfusion culture of marrow stromal osteoblasts in a dose-dependent manner. Proc. Natl Acad. Sci. USA 99, 12 600-12 605. (doi:10.1073/pnas.202296599)
3. Cai, A. Q., Landman, K. A. & Hughes, B. D. 2006 Modelling directional guidance and motility regulation in cell migration. Bull. Math. Biol. 68, 25-52. (doi:10.1007/s11538-005-9028-x)
4. Cai, A. Q., Landman, K. A. & Hughes, B. D. 2007 Multi-scale modeling of a wound-healing cell migration assay. J. Theor. Biol. 245, 576-594. (doi:10.1016/j.jtbi.2006.10.024)
5. Callaghan, T., Khain, E., Sander, L. M. & Ziff, R. M. 2006 A stochastic model for wound healing. J. Stat. Phys. 122, 909-924. (doi:10.1007/s10955-006-9022-1)
6. Chan, K. Y., Patton, D. L. & Cosgrove, Y. T. 1989 Time-lapse videomicroscopic study of in vitro wound closure in rabbit corneal cells. Invest. Ophthmol. Vis. Sci. 30, 2488-2498.
7. Crank, J. 1975 The mathematics of diffusion, 2nd edn. New York, NY: Oxford University Press.
8. Cukierman, E., Pankov, R. & Yamada, K. M. 2002 Cell interactions with three-dimensional matrices. Curr. Opin. Cell Biol. 14, 633-639. (doi:10.1016/S0955-0674(02)00364-2)
9. Dee, K. C., Andersen, T. T. & Bizios, R. 1999 Osteoblast population migration characteristics on substrates modified with immobilized adhesive peptides. Biomaterials 20, 221-227. (doi:10.1016/S0142-9612(98) 00161-6)
10. Dimilla, P. A., Barbee, K. & Lauffenburger, D. A. 1991 Mathematical-model for the effects of adhesion and mechanics on cell-migration speed. Biophys. J. 60, 15-37.
11. Dixit, P., Hern-Anderson, D., Ranieri, J. & Schmidt, C. E. 2001 Vascular graft endothelialization: comparative analysis of canine and human endothelial cell migration on natural biomaterials. J. Biomed. Mater. Res. 56, 545-555. (doi:10.1002/1097-4636(20010915)56:4〈545:: AIDJBM1126〉3.0.CO;2-V)
12. Dolle, J. P., Rezvan, A., Allen, F. D., Lazarovici, P. & Lelkes, P. I. 2005 Nerve growth factor-induced migration of endothelial cells. J. Pharmacol. Exp. Ther. 315, 1220-1227. (doi:10.1124/jpet.105.093252)
13. El-Ghannam, A. 2005 Bone reconstruction: from bioceramics to tissue engineering. Expert Rev. Med. Devices 2, 87-101. (doi:10.1586/17434440.2.1.87)
14. Erli, H. J., Ruger, M., Ragoss, C., Jahnen-Dechent, W., Hollander, D. A., Paar, O. & von Walter, M. 2006 The effect of surface modification of a porous TiO2/perlite composite on the ingrowth of bone tissue in vivo. Biomaterials 27, 1270-1276. (doi:10.1016/j.biomaterials.2005.08.001)
15. Farrell, B. E., Daniele, R. P. & Lauffenburger, D. A. 1990 Quantitative relationships between single-cell and cell-population model parameters for chemosensory migration responses of alveolar macrophages to C5A. Cell Motil. Cytoskel. 16, 279-293. (doi:10.1002/cm.970160407)
16. Friedl, P. 2004 Prespecification and plasticity: shifting mechanisms of cell migration. Curr. Opin. Cell Biol. 16, 14-23. (doi:10.1016/j.ceb.2003.11.001)
17. Haider, A. S., Grabarek, J., Eng, B., Pedraza, P., Ferreri, N. R., Balazs, E. A. & Darzynkiewicz, Z. 2003 In vitro model of "wound healing" analyzed by laser scanning cytometry: accelerated healing of epithelial cell monolayers in the presence of hyaluronate. Cytometry Part A 53, 1-8.
18. Kenkre, V. M. & Kuperman, M. N. 2003 Applicability of the Fisher equation to bacterial population dynamics. Phys. Rev. E 67, 051921. (doi:10.1103/PhysRevE.67.051921)
19. Khain, E. & Sander, L. M. 2006 The role of cell-cell adhesion in wound healing. J. Stat. Phys., Online first (arXiv:q-bio.CB/0610015).
20. Krooshoop, D. J. E. B., Torensma, R., van den Bosch, G. J. M., Nelissen, J. M. D. T., Figdor, C. G., Raymakers, R. A. P. & Boezeman, J. B. M. 2003 An automated multi well cell track system to study leukocyte migration. J. Immunol. Methods 280, 89-102. (doi:10.1016/S0022-1759(03)00262-X)
21. Landman, K. A., Pettet, G. J. & Newgreen, D. F. 2003 Chemotactic cellular migration: Smooth and discontinuous travelling wave solutions. SIAM J. Appl. Math. 63, 1666-1681. (doi:10.1137/S0036139902404694)
22. Lauffenburger, D. 1989 A simple-model for the effects of receptor-mediated cell-substratum adhesion on cell-migration. Chem. Eng. Sci. 44, 1903-1914. (doi:10.1016/0009-2509(89)85131-0)
23. Lauffenburger, D. A. & Horwitz, A. F. 1996 Cell migration: a physically integrated molecular process. Cell 84, 359-369. (doi:10.1016/S0092-8674(00)81280-5)
24. Letchford, J., Cardwell, A. M., Stewart, K., Coogans, K. K., Cox, J. P., Lee, M., Beresford, J. N., Perry, M. J. & Welham, M. J. 2006 Isolation of C15: a novel antibody generated by phage display against mesenchymal stem cell-enriched fractions of adult human marrow. J. Immunol. Methods 308, 124-137. (doi:10.1016/j.jim.2005.10.015)
25. Maini, P. K., McElwain, D. L. & Leavesley, D. I. 2004a Traveling wave model to interpret a wound-healing cell migration assay for human peritoneal mesothelial cells. Tissue Eng. 10, 475-482. (doi:10.1089/107632704323061834)
26. Maini, P. K., McElwain, D. L. S. & Leavesley, D. 2004b Travelling waves in a wound healing assay. Appl. Math. Lett. 17, 575-580. (doi:10.1016/S0893-9659(04)90128-0)
27. Mauney, J. R., Volloch, V. & Kaplan, D. L. 2005 Role of adult mesenchymal stem cells in bone tissue engineering applications: current status and future prospects. Tissue Eng. 11, 787-802. (doi:10.1089/ten.2005.11.787)
28. Mistry, A. S. & Mikos, A. G. 2005 Tissue engineering strategies for bone regeneration. Adv. Biochem. Eng. Biotechnol. 94, 1-22.
29. Murray, J. D. 2002 Mathematical biology, vol. I, 3rd edn. New York, NY: Springer.
30. Murray, J. D. 2003 Mathematical biology, vol. II, 3rd edn. New York, NY: Springer.
31. Nabeshima, K., Shimao, Y., Inoue, T., Itoh, H., Kataoka, H. & Koono, M. 1998 Hepatocyte growth factor scatter factor induces not only scattering but also cohort migration of human colorectal-adenocarcinoma cells. Int. J. Cancer 78, 750-759. (doi:10.1002/(SICI)1097-0215(19981209)78: 6〈750::AID-IJC13〉3.0.CO;2-)
32. Niedbala, M. J., Crickard, K. & Bernacki, R. J. 1986 Adhesion, growth and morphology of human mesothelial cells on extracellular matrix. J. Cell Sci. 85, 133-147.
33. Savla, U., Olson, L. E. & Waters, C. M. 2004 Mathematical modeling of airway epithelial wound closure during cyclic mechanical strain. J. Appl. Physiol 96, 566-574. (doi:10.1152/japplphysiol.00510.2003)
34. Sheardown, H. & Cheng, Y. L. 1996 Mechanisms of corneal epithelial wound healing. Chem. Eng. Sci. 51, 4517-4529. (doi:10.1016/0009- 2509(96)00299-0)
35. Sherratt, J. A. & Marchant, B. P. 1996 Nonsharp travelling wave fronts in the Fisher equation with degenerate nonlinear diffusion. Appl. Math. Lett. 9, 33-38. (doi:10.1016/0893-9659(96)00069-9)
36. Shin, H., Zygourakis, K., Farach-Carson, M. C., Yaszemski, M. J. & Mikos, A. G. 2004 Attachment, proliferation, and migration of marrow stromal osteoblasts cultured on biomimetic hydrogels modified with an osteopontin-derived peptide. Biomaterials 25, 895-906. (doi:10.1016/S0142-9612(03)00602-1)
37. Simpson, M. J., Landman,K.A., Hughes,B.D.&Newgreen, F. 2006 Looking inside an invasion wave of cells using continuum models: proliferation is the key. J. Theor. Biol. 243, 343-360. (doi:10.1016/j.jtbi.2006.06. 021)
38. Simpson, M. J., Zhang, D. C., Mariani, M., Landman, K. A. & Newgreen, D. F. 2007 Cell proliferation drives neural crest cell invasion of the intestine. Dev. Biol. 302, 553-568. (doi:10.1016/j.ydbio.2006.10. 017)
39. Takamizawa, K., Niu, S. & Matsuda, T. 1996 Mathematical simulation of unidirectional tissue formation: in vitro transanastomotic endothelialization model. J. Biomater. Sci. Polym. Edin. 8, 323-334.
40. Tranquillo, R. T., Zigmond, S. H. & Lauffenburger, D. A. 1988 Measurement of the chemotaxis coefficient for human-neutrophils in the under-agarose migration assay. Cell Motil. Cytoskel. 11, 1-15. (doi:10.1002/cm.970110102)
41. Walker, D. C., Hill, G., Wood, S. M., Smallwood, R. H. & Southgate, J. 2004 Agent-based computational modeling of wounded epithelial cell monolayers. IEEE Trans. Nanobiosci. 3, 153-163. (doi:10.1109/TNB.2004.833680)
42. Zahm, J. M., Kaplan, H., Herard, A. L., Doriot, F., Pierrot, D., Somelette, P. & Puchelle, E. 1997 Cell migration and proliferation during the in vitro wound repair of the respiratory epithelium. Cell Motil. Cytoskel. 37, 33-43. (doi:10.1002/(SICI)1097-0169(1997)37:1〈33:: AID-CM4〉3.0.CO;2-I)
43. Zhao, F., Pathi, P., Grayson, W., Xing, Q., Locke, B. R. & Ma, T. 2005 Effects of oxygen transport on 3-d human mesenchymal stem cell metabolic activity in perfusion and static cultures: experiments and mathematical model. Biotechnol. Prog. 21, 1269-1280. (doi:10.1021/bp0500664)