A three-dimensional model of cell movement in multicellular systems

Future Generation Computer Systems

Volumn 17, Issue 7, 2001, Pages 835-852

  Palsson, E ^a,b  

^a UNIVERSITY OF UTAH   (United States)

^b CITY UNIVERSITY OF NEW YORK   (United States)

Author keywords

Cell motility; Chemotactic signals; Dictyostelium discoideum; Multicellular systems

Indexed keywords

CELLS; COMPUTATIONAL COMPLEXITY; COMPUTATIONAL METHODS; COMPUTER SIMULATION; EQUATIONS OF MOTION; MATHEMATICAL MODELS; PARAMETER ESTIMATION; STATE ESTIMATION;

CELL MOTILITY; CHEMOTACTIC SIGNALS; MULTICELLULAR SYSTEMS;

PARALLEL PROCESSING SYSTEMS;

EID: 0035337889     PISSN: 0167739X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-739X(00)00062-5     Document Type: Article

References (50)

1. B. Alberts, D. Bray, J. Lewis, M. Raff, K. Roberts, J.D. Watson, Molecular Biology of the Cell, Garland, New York, 1994.
2. Bell G.I. Models for the specific adhesion of cells to cells. Science. 200:1978;618-627.
3. J.T. Bonner, The Cellular Slime Molds, Princeton University Press, Princeton, NJ, 1967.
4. Bonner J.T. A way of following individual cells in the migration slugs of Dictyostelium discoideum. Proc. Natl. Acad. Sci. USA. 95:1998;9355-9359.
5. D. Bray, Cell Movements, Garland, New York, 1992.
6. S. Chien, G.W. Schmid-Schonbein, K.L.P. Sung, E.A. Schmaizer, R. Skalak, Viscoelastic properties of leukocytes. White cell mechanics, Basic Science and Clinical Aspects, Liss, New York, 1984, pp. 19-51.
7. S. Childress, J.K. Percus, Modeling of cell and tissue movements in the developing embryo, in: S. Childress (Ed.), Lectures on Mathematics in the Life Sciences, Vol. 14, American Mathematical Society, Providence, RI, USA, 1981, pp. 59-88.
8. Dallon J.C., Othmer H.G. A discrete cell model with adaptive signalling for aggregation of Dictyostelium discoideum. Phil. Trans. Roy. Soc. London B. 352:1997;391-417.
9. Davis G.S., Phillips H.M., Steinberg M.S. Surface tensions and tissue affinities in Rana Pipiens gastrulae: quantitative measurements. Dev. Biol. 192:1997;630-644.
10. Elul T., Koehl M.A.R., Keller R. Cellular mechanism underlying neural convergent extension in Xenopus Laevis embryos. Dev. Biol. 191:1997;243-258.
11. Evans E.A. Detailed mechanics of membrane-membrane adhesion and separation. I. Continuum of molecular cross-bridges. Biophys. J. Biophys. Soc. 48:1985a;175-183.
12. Evans E.A. Detailed mechanics of membrane-membrane adhesion and separation. II. Discrete kinetically trapped molecular cross-bridges. Biophys. J. Biophys. Soc. 48:1985b;185-192.
13. Fisher P.R., Merkl R., Gerisch G. Quantitative analysis of cell motility and chemotaxis in Dictyostelium discoideum by using image processing system and a novel chemotaxis chamber providing stationary chemical gradients. J. Cell Biol. 108:1989;973-984.
14. Forgacs G., Foty R.A., Shafrir Y., Steinberg M.S. Viscoelastic properties of living embryonic tissues: a quantitative study. Biophys. J. 74:1998;2227-2234.
15. Foty R.A., Pfleger C.M., Forgacs G., Steinberg M.S. Surface tensions of embryonic tissues predict their mutual envelopment behavior. Development. 122:1996;1611-1620.
16. Fuchs M., Jones M.K., Williams K.L. Characterisation of an epithelium-like layer of cells in the multicellular Dictyostelium discoideum slug. J. Cell Sci. 105:1993;243-253.
17. Glazier J., Graner F. Simulations of the differential adhesion driven rearrangement of biological cells. Phys. Rev. E. 47:1993;2128-2154.
18. Graner F., Glazier J. Simulations of biological cell sortin using a two-dimensional extended Potts model. Phys. Rev. Lett. 69:1992;2013-2016.
19. Guilford W.H., Lantz R.C., Gore R.W. The Locomotive forces produced by single leukocytes in vivo and in vitro. Am. J. Physiol. 268:1995;1308-1312.
20. Honda H. Geometrical models for tissues. Int. Rev. Cytol. 81:1983;191-248.
21. Inouye K., Takeuchi I. Motive force of the migrating pseudoplasmodium of the cellular slime mold Dictostelium disoideum. J. Cell Sci. 41:1980;53-64.
22. Lee J., Leonard M., Oliver T., Ishihara A., Jacobson K. Traction forces generated by locomoting keratocytes. J. Cell Biol. 127:1994;1957-1964.
23. McEver R.P. Leukocite-endothelial cell interactions. Curr. Opin. Cell Biol. 4:1992;840-849.
24. Mochizuki A., Iwasa Y., Takeda Y. A stochastic model for cell sorting and measuring cell-cell adhesion. J. Theoret. Biol. 179:1996;129-146.
25. G.D. Mostow, Mathematical Models for Cell Rearrangement, Yale University Press, New Haven, 1975.
26. Nossal R. On the elasticity of cytoskeletal networks. Biophys. J. 53:1988;349-359.
27. Odell G.M., Bonner J.T. How the Dictyostelium discoideum grex crawls. Phil. Trans. Roy. Soc. London. 312:1986;487-525.
28. Oliver T., Jacobson K., Dembo M. Design and use of substrata to measure traction forces exerted by cultured cells. Methods Enzymol. 298:1988;623.
29. Phillips H.M., Steinberg M.S. Embryonic tissues as elasticoviscous liquids, Part I: Rapid and Slow Shape Changes in Centrifuged Cell Aggregates. J. Cell Sci. 30:1978;1-20.
30. P.D. Richardson, M. Steiner, Principles of Cell Adhesion, CRC Press, London, 1994.
31. Rietdorf J., Siegert F., Weijer C.J. Analysis of optical density wave propagation and cell movement during mound formation in Dictyostelium discoideum. Dev. Biol. 177:1996;427-438.
32. J.S. Rowlinson, B. Widom, Molecular Theory of Capillarity, Clarendon Press, Oxford, 1989.
33. Sato M., Wong T.Z., Allen R.D. Rheological properties of living cytoplasm: endoplasm of Physarum plasmodium. J. Cell Biol. 97:1983;1089-1097.
34. Savill N., Hogeweg P. Modeling morphogenesis: from single cells to crawling slugs. J. Theoret. Biol. 184:1997;229-235.
35. Siegert F., Weijer C.J. Analysis of optical density wave propagation and cell movement in the cellular slime mould Dictyostelium discoideum. Physica D. 49:1991;224-232.
36. R. Skalak, S. Chien, G.W. Schmid-Schonbein, Viscoelastic deformation of white cells: theory and analysis, Basic Science and Clinical Aspects, Liss, New York, 1984, pp. 3-18.
37. Steinberg M.S. Adhesion-guided multicellular assembly: a commentary upon the postulates, real and imagined, of the differential adhesion hypothesis, with special attention to computer simulations of cell sorting. J. Theoret. Biol. 55:1975;431-443.
38. Sulsky D., Childress S., Percus J.K. A model of cell sorting. J. Theoret. Biol. 106:1984;275-301.
39. Takeichi M. Cadherins in cancer: implications for invasion and metastasis. Curr. Opin. Cell Biol. 5:1993;806-811.
40. 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. Cellular and molecular aspects of amoeboid movement. CSH Symp. Quant. Biol. 46:1982;101-111.
41. Umeda T., Inouye K. Theoretical model for morphogenesis and cell sorting in Dictyostelium discoideum. Physica D. 126:1999;189-200.
42. Usami S., Wung S-L., Skierczynski B.A., Skalak R., Chien S. Locomotion forces generated by a polymorphonuclear leukocyte. Biophys. J. 63(6):1992;1663-1666.
43. Varnum-Finney B., Edwards K.B., Voss E., Soll D.R. Amebae of Dictyostelium discoideum respond to an increasing temporal gradient of the chemoattractant cAMP with a reduced frequency of turning: evidence for a temporal mechanism in ameboid chemotaxis. Cell Motil. Cytoskeleton. 8:1987a;7-17.
44. Varnum-Finney B.J., Voss E., Soll D.R. Frequency and orientation of pseudopod formation of Dictyostelium discoideum amebae chemotaxing in a spatial gradient: further evidence for a temporal mechanism. Cell Motil. Cytoskeleton. 8:1987b;18-26.
45. Vasiev B., Siegert F., Weijer C.J. A hydrodynamic model for Dictyostelium discoideum mound formation. J. Theoret. Biol. 184(4):1997;441-450.
46. Wessels D., Vawter-Hugart H., Murray J., Soll D.R. Three-dimensional dynamics of pseudopod formation and the regulation of turning during the motility cycle of Dictyostelium. Cell Motil. Cytoskeleton. 27:1994;1-12.
47. Wessels D., Titus M., Soll D.R. A Dictyostelium myosin I plays a crucial role in regulation the frequency of pseudopods formed on the substratum. Cell Motil. Cytoskeleton. 33:1996;64-79.
48. Wessels D., Voss E., Bergen N., Von R., Burns, Stites J., Soll D.R. A Computer-assisted system for reconstructing and interpreting the dynamic three-dimensional relationships of the outer surface, nucleus, and pseudopods of crawling cells. Cell Motil. Cytoskeleton. 41:1998;225-246.
49. Williams K.L., Vardy P.H., Segel L.A. Cell migrations during morphogenesis: some clues from the slug of Dictyostelium discoideum. BioEssays. 5(4):1986;148-152.
50. C. Zhu, T.E. Williams, J. Delobel, D. Xia, M.K. Offerman, A cell-cell adhesion model for the analysis of micropipette experiments, in: Van C. Mow (Ed.), Cell Mechanics and Cellular Engineering, Springer, New York, 1994, pp. 160-180.