Using cell potential energy to model the dynamics of adhesive biological cells

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 71, Issue 4, 2005, Pages

  Turner, Stephen ^a  

^a HERIOT WATT UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BIOLOGICAL CELLS; BIOPHYSICAL SYSTEMS; CELL KINETICS; ENERGY DENSITY;

ADHESIVES; COMPUTER SIMULATION; DIFFUSION; GROWTH KINETICS; MATHEMATICAL MODELS; PHASE SEPARATION; POLYNOMIALS; POTENTIAL ENERGY;

CELLS;

ANIMAL; BIOLOGICAL MODEL; CELL ADHESION; CELL AGGREGATION; CELL COMMUNICATION; CELL MOTION; COMPUTER SIMULATION; DIFFUSION; ENERGY TRANSFER; EVALUATION STUDY; HUMAN; MEMBRANE FLUIDITY; MEMBRANE FUSION; PHYSIOLOGY;

ANIMALS; CELL ADHESION; CELL AGGREGATION; CELL COMMUNICATION; CELL MOVEMENT; COMPUTER SIMULATION; DIFFUSION; ENERGY TRANSFER; HUMANS; MEMBRANE FLUIDITY; MEMBRANE FUSION; MODELS, BIOLOGICAL;

EID: 45849155848     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.041903     Document Type: Article

References (50)

1. D. S. Cohen and J. D. Murray, J. Math. Biol. 12, 237 (1981).
2. K. M. Page, P. K. Maini, N. A. M. Monk, and C. D. Stern, J. Theor. Biol. 208, 419 (2001).
3. K. J. Painter, P. K. Maini, and H. G. Othmer, Bull. Math. Biol. 62, 501 (2000).
4. E. L. Stott, N. F. Britton, J. A. Glazier, and M. Zajaz, Math. Comput. Modell. 30, 183 (1999).
5. A. A. Patel, E. T. Gawlinski, S. K. Lemieux, and R. A. Gatenby, J. Theor. Biol. 213, 315 (2001).
6. S. Turner and J. A. Sherratt, J. Theor. Biol. 216, 85 (2002).
7. J. A. Sherratt and M. A. J. Chaplain, J. Math. Biol. 43, 291 (2001).
8. A. R. A. Anderson and M. A. J. Chaplain, Bull. Math. Biol. 60, 857 (1998).
9. R. A. Gatenby, P. K. Maini, and E. T. Gawlinski, Appl. Math. Lett. 15, 339 (2002).
10. H. M. Byrne and M. A. J. Chaplain, Math. Comput. Modell. 24, 1 (1996).
11. D. J. T. Sumpter and D. S. Broomhead, Proc. R. Soc. London, Ser. B 268, 925 (2001).
12. P. Turchin, J. Anim. Ecol. 58, 75 (1989).
13. A. Johansson and D. J. T. Sumpter, Theor Popul. Biol. 64, 497 (2003).
14. K. M. Page, P. K. Maini, and N. A. M. Monk, Physica D 181, 80 (2003).
15. K. J. Painter, P. K. Maini, and H. G. Othmer, Proc. Natl. Acad. Sci. U.S.A. 96, 5549 (1999).
16. K. P. Painter, P. K. Maini, and H. G. Othmer, J. Math. Biol. 41, 285 (2000).
17. M. R. Owen and J. A. Sherratt, J. Theor. Biol. 189, 63 (1997).
18. T. Sekimura, M. Zhu, J. Cook, P. K. Maini, and J. D. Murray, Bull. Math. Biol. 61, 807 (1999).
19. A. Deutsch and A. T. Lawniczak, Math. Biosci. 156, 255 (1999).
20. S. Turner, J. A. Sherratt, K. J. Painter, and N. J. Savill, Phys. Rev. E 69, 021910 (2004).
21. A. T. Lawniczak, Transp. Theory Stat. Phys. 29, 261 (2000).
22. J. D. Murray, Mathematical Biology, 2nd ed. (Springer-Verlag, Berlin, 1993).
23. J. C. M. Mombach and N. Lemke, Europhys. Lett. 59, 923 (2002).
24. L. Granasy, Solid State Phenom. 56, 67 (1997).
25. E. Coutsias and B. A. Huberman, Phys. Rev. B 24, 2592 (1981).
26. J. W. Cahn, Trans. Metall. Soc. AIME 242, 166 (1968).
27. J. W. Cahn, Acta Metall. 14, 1685 (1966).
28. B. K. Hall and T. Miyake, Anat. Embryol. 186, 107 (1992).
29. B. K. Hall and T. Miyake, BioEssays 22, 138 (2000).
30. W. G. Stetler-Stevenson, S. Aznavoorian, and L. A. Liotta, "Tumor cell interactions with the extracellular matrix during invasion and metastasis," Annu. Rev. Cell Biol. 9:541, 1993.
31. S. Turner, J. A. Sherratt, and D. Cameron, J. Theor. Biol. 229, 101 (2004).
32. J. C. M. Mombach, J. A. Glazier, R. C. Raphael, and M. Zajaz, Phys. Rev. Lett. 75, 2244 (1995).
33. J. A. Sherratt, SIAM J. Appl. Math. 60, 392 (2000).
34. J. C. M. Mombach, Phys. Rev. E 59, R3827 (1999).
35. J. C. M. Mombach and J. A. Glazier, Phys. Rev. Lett. 76, 3032 (1996).
36. M. S. Steinberg and R. S. Foty, J. Cell Physiol. 173, 135 (1997).
37. P. B. Armstrong and D. Parenti, J. Cell Biol. 55, 660 (1972).
38. J. P. Rieu, A. Upadhyaya, J. A. Glazier, N. B. Ouchi, and Y. Sawada, Biophys. J. 79, 1903 (2000).
39. J. P. Rieu and Y. Sawada, Eur. Phys. J. B 27, 167 (2002).
40. J. S. Rowlinson, J. Stat. Phys. 20, 197 (1979).
41. O. Penrose (private communication).
42. S. A. Gourlay and M. V. Bartucelli, Dyn. Stab. Syst. 15, 253 (2000).
43. F. Lara-Ochoa and V. P. Bustos, BioSystems 24, 223 (1990).
44. F. Lara Ochoa and J. D. Murray, Bull. Math. Biol. 45, 917 (1983).
45. F. Lara-Ochoa, BioSystems 17, 35 (1984).
46. B. A. Huberman, J. Chem. Phys. 65, 2013 (1976).
47. K. Nabeshima, T. Inoue, Y. Shimao, H. Kataoka, and M. Koono, Histol. Histopathol 14, 1183 (1999).
48. J. Guck, R. Ananthakrishnan, C. C. Cunningham, and J. Kas, J. Phys.: Condens. Matter 14, 4843 (2002).
49. J. Guck, R. Ananthakrishnan, H. Mahmood, T. J. Moon, C. C. Cunningham, and J. Kas, Biophys. J. 81, 767 (2001).
50. M. Benoit, D. Gabriel, G. Gerisch, and H. E. Gaub, Nat. Cell Biol. 2, 313 (2000).