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Single-Cell-Based Models in Biology and Medicine pp 271–299Cite as

A 3-D Deformable Ellipsoidal Cell Model with Cell Adhesion and Signaling

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Part of the book series: Mathematics and Biosciences in Interaction ((MBI))

Abstract

In this chapter a three-dimensional model of ellipsoidal cells is presented and used to study how cell-cell signaling, cell adhesion, chemotaxis and differentiation all work together in a coordinated fashion to give rise to the developed organism. The Dictyostelium discoideum is used as a model system, since it is simple, yet has all the basic cell-cell interactions. Another goal of introducing this model is to achieve visualization of cell movements and signal propagation in 3-D space.

This work was completed with the support of NSERC grant number RGPIN249789.

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References

  1. Alberts, B, Bray, D, Lewis, J, Raff, M, Roberts, K, & Watson, J. D. (1994) Molecular Biology of The Cell. (Garland, New York and London). 1994.

    Google Scholar 

  2. Elul, T, Koehl, M. A. R, & Keller, R. (1997) Developmental Biology 191, 243–258.

    Article  Google Scholar 

  3. Takeichi, M. (1993) Curr. Opin. Cell Biol. 5, 806–811.

    Article  Google Scholar 

  4. Bonner, J. T. (1967) The cellular slime molds. Second edition. (Princeton Univ. Press, Princeton, NJ).

    Google Scholar 

  5. Gilbert, S. F. (1997) Developmental Biology. (Sinauer Associates, Inc., Sunderland Massachusetts), Fifth edition.

    Google Scholar 

  6. Davidenko, J. M, Pertsov, A. V, Salomonsz, R, Baxter, W, & Jalife, J. (1992) Nature 355, 349–351.

    Article  Google Scholar 

  7. Jalife, J & Antzelevitch, C. (1979) Science 206, 695–697.

    Article  Google Scholar 

  8. Jaffe, L. F. (1995) Ciba Found Symposium 188, 4–12.

    Google Scholar 

  9. Ludwig, D, Jones, D. D, & Holling, C. S. (1978) Journal Animal Ecology 47, 315–332.

    Article  Google Scholar 

  10. Alcantara, F & Monk, M. (1974) J. Gen. Microbiol. 85, 321–334. J. Gen. Microbiol.

    Google Scholar 

  11. Konijn, T. M, van de Meene, J. G. C, Bonner, J. T, & Barkley, D. S. (1967) Proc. Natl. Acad. Sci. USA 58, 1152–1154. Proc. Natl. Acad. Sci. USA.

    Article  Google Scholar 

  12. Palsson, E, Lee, K. J, Goldstein, R. E, Franke, J, Kessin, R. H, & Cox, E. C. (1997) Proc. Natl. Acad. Sci. USA 94, 13719–13723.

    Article  Google Scholar 

  13. Wu, L, Franke, J, Blanton, R. L, Podgorski, G. J, & Kessin, R. H. (1995) Dev. Biol. 167, 1–8.

    Article  Google Scholar 

  14. Siegert, F & Weijer, C. J. (1992) Proc. Natl. Acad. Sci. USA 89, 6433–6437.

    Article  Google Scholar 

  15. Palsson, E & Othmer, H. (2000) Proc. Natl. Acad. Sci. USA 97, 10448–10453.

    Article  Google Scholar 

  16. Palsson, E. (2001) Future Generation Computer Systems 17, 835–852.

    Article  MATH  Google Scholar 

  17. Swanson, J & Taylor, D. L. (1982) Cell 28, 225–232.

    Article  Google Scholar 

  18. Chien, S, Schmid-Schonbein, G. W, Sung, K. L. P, Schmaizer, E. A, & Skalak, R. (1984) in Basic Science and Clinical Aspects. pp. 3–18.

    Google Scholar 

  19. Evans, E. A. (1985) Biophys J. Biophysical Society 48, 175–183.

    Google Scholar 

  20. Bray, D. (1992) Cell Movements. (Garland Publishing, Inc, New York and London).

    Google Scholar 

  21. Richardson, P. D & Steiner, M. (1994) Principles of Cell Adhesion. (CRC Press., London). 1994.

    Google Scholar 

  22. Usami, S, Wung, S, Skierczynski, B, Skalak, R, & Chien, S. (1992) Biophysics J. 63, 1663–1666.

    Google Scholar 

  23. Oliver, T, Jacobson, K, & Dembo, M. (1988) Methods in Enzymology 298, 623.

    Google Scholar 

  24. Lee, J, leonard, M, Oliver, T, Ishihara, A, & Jacobson, K. (1994) Journal of Cell Biology. 127, 1957–1964.

    Article  Google Scholar 

  25. Inouye, K & Takeuchi, I. (1980) Journal of Cell Science 41, 53–64.

    Google Scholar 

  26. Guilford, W. H, Lantz, R. C, & Gore, R. W. (1995) American Journal of Physiology. 268, 1308–1312.

    Google Scholar 

  27. Wessels, D, Vawter-Hugart, H, Murray, J, & Soll, D. R. (1994) Cell Motility and the Cytoskeleton 27, 1–12.

    Article  Google Scholar 

  28. Wessels, D, Voss, E, Bergen, N. V, Burns, R, Stites, J, & Soll, D. R. (1998) Cell Motility and the Cytoskeleton 41, 225–246.

    Article  Google Scholar 

  29. Varnum-Finney, B, Edwards, K. B, Voss, E, & Soll, D. R. (1987) Cell Motility and the Cytoskeleton 8, 7–17.

    Article  Google Scholar 

  30. Varnum-Finney, B. J, Voss, E, & Soll, D. R. (1987) Cell Motility and Cytoskeleton 8, 18–26.

    Article  Google Scholar 

  31. Wessels, D, Vawter-Hugart, H, Murray, J, & Soll, D. R. (1994) Cell Motility and the Cytoskeleton 27, 1–12.

    Article  Google Scholar 

  32. Wessels, D, Voss, E, Bergen, N. V, Burns, R, Stites, J, & Soll, D. R. (1998) Cell Motility and the Cytoskeleton 41, 225–246.

    Article  Google Scholar 

  33. Odell, G. M & Bonner, J. (1986) Phil. Trans.R. Soc. Lond. 312, 487–525.

    Article  Google Scholar 

  34. Skalak, R, Chien, S, & Schmid-Schonbein, G. W. (1984) in Basic Science and Clinical Aspects. pp. 3–18. 1984.

    Google Scholar 

  35. Taylor, D. L, Heiple, J, Wang, Y. L, Luna, E. J, Tanasugarn, L, Brier, J, Swanson, J, Fechheimer, M, Amato, P, Rockwel, M, & Daley, G. (1982) CSH Symp. Quant. Biol. 46, 101–111.

    Google Scholar 

  36. Wessels, D, Titus, M, & Soll, D. R. (1996) Cell Motility and the Cytoskeleton 33, 64–79.

    Article  Google Scholar 

  37. Alcantara, F & Monk, M. (1974) JGM, Journal of General Microbiology 85, 321–334.

    Google Scholar 

  38. Evans, E. A. (1985) Biophysical Journal 48, 175–183.

    Google Scholar 

  39. Evans, E. A. (1985) Biophysical Journal 48, 185–192.

    Google Scholar 

  40. Zhu, C, Williams, T. E, Delobel, J, Xia, D, & Offerman, M. K. (1994) in Cell mechanics and Cellular engineering., eds. Van, C. M & et al. (Springer, New York), pp. 160–180. 1994.

    Google Scholar 

  41. Philips, H. M & Steinberg, M. S. (1978) Journal of Cell Science 30, 1–20.

    Google Scholar 

  42. Philips, H. M, Steinberg, M. S, & Lipton, B. H. (1977) Developmental Biology 59, 124–134.

    Article  Google Scholar 

  43. Bell, G. I. (1978) Science 200, 618–627.

    Article  Google Scholar 

  44. Forgacs, G, Foty, R. A, Shafrir, Y, & Steinberg, M. S. (1998) Biophysical Journal 74, 2227–2234.

    Google Scholar 

  45. Fuchs, M, Jones, M. K, & Williams, K. L. (1993) J. Cell Sci. 105, 243–253.

    Google Scholar 

  46. Schonfisch, B & Roos, A. d. (1999) Biosystems 51, 123–143.

    Article  Google Scholar 

  47. Martiel, J. L & Goldbeter, A. (1987) Biophys. J. 52, 807–828.

    Article  Google Scholar 

  48. Palsson, E & Cox, E. C. (1996) Proc. Natl. Acad. Sci. USA 93, 1151–1155.

    Article  Google Scholar 

  49. Ramsey, A. F, Gabor, F, Cathie, M. P, & Malcolm, S. S. (1994) Physical Review Letters 72, 2298–2301.

    Article  Google Scholar 

  50. Rowlinson, J. S & Widom, B. (1989) Molecular theory of capillarity. (Clarendon Press., Oxford). 1989.

    Google Scholar 

  51. Foty, R. A, Pfleger, C. M, Forgacs, G, & Steinberg, M. S. (1996) Development 122, 1611–1620.

    Google Scholar 

  52. Davis, G. S, Phillips, H. M, & Steinberg, M. S. (1997) Developmental Biology 192, 630–644.

    Article  Google Scholar 

  53. Steinberg, M. S. (1975) J. Theor. Biol. 55, 431–443.

    Article  Google Scholar 

  54. Takeuchi, I, Kakutani, T, & Tasaka, M. (1988) Dev. Genet. 9, 607–614. Dev. Genet.

    Article  Google Scholar 

  55. Gross, J. D, Peacey, M. J, & Trevan, D. J. (1976) Journal of Cell Science 22, 645–656.

    Google Scholar 

  56. Bonner, J. T. (1998) Proc. Natl. Acad. Sci. USA. 95, 9355–9359.

    Article  Google Scholar 

  57. Tasaka, M & Takeuchi, I. (1979) Journal of Embryology and Experimental Morphology 49, 89–102.

    Google Scholar 

  58. Takeuchi, I, Kakutani, T, & Tasaka, M. (1988) Developmental Genetics 9, 607–614.

    Article  Google Scholar 

  59. Iranfar, N, Fuller, D, & Loomis, W. F. (2003) Eukaryotic Cell 2, 664–670.

    Article  Google Scholar 

  60. Lam, T. Y, Pickering, G, Geltosky, J, & Siu, C. H. (1981) Differentiation 20, 22–28.

    Article  Google Scholar 

  61. Siegert, F & Weijer, C. J. (1991) Physica D 49, 224–232.

    Article  Google Scholar 

  62. Rietdorf, J, Siegert, F, & Weijer, C. J. (1996) Developmental Biology 177, 427–438.

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Biology, Simon Fraser University, 8888 University Dr, Burnaby, BC, V5A 1S6, Canada

    Eirikur Palsson

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  1. Eirikur Palsson
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Editor information

Editors and Affiliations

  1. Division of Mathematics, University of Dundee, 23 Perth Road, Dundee, DD1 4HN, UK

    Alexander R. A. Anderson , Mark A. J. Chaplain  & Katarzyna A. Rejniak ,  & 

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Palsson, E. (2007). A 3-D Deformable Ellipsoidal Cell Model with Cell Adhesion and Signaling. In: Anderson, A.R.A., Chaplain, M.A.J., Rejniak, K.A. (eds) Single-Cell-Based Models in Biology and Medicine. Mathematics and Biosciences in Interaction. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8123-3_12

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