The effect of pressure on the growth of tumour cell colonies

Journal of Theoretical Biology

Volumn 243, Issue 2, 2006, Pages 171-180

  Bru A ^a   Casero, D ^a  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

Cell colonies; Dynamic scaling; Fractal properties; Tumour growth

Indexed keywords

COLONY; GROWTH; HIGH PRESSURE; TUMOR;

ARTICLE; CELL CULTURE; CONTROLLED STUDY; FRACTAL ANALYSIS; HOMEOSTASIS; HUMAN; HUMAN CELL; PRESSURE; PRIORITY JOURNAL; STATISTICAL ANALYSIS; STOCHASTIC MODEL; TUMOR CELL; TUMOR CELL LINE; TUMOR GROWTH;

CELL DIVISION; FRACTALS; HOMEOSTASIS; HUMANS; MODELS, BIOLOGICAL; NEOPLASMS; PRESSURE; TUMOR CELLS, CULTURED;

EID: 33749642868     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2006.05.020     Document Type: Article

References (50)

1. Amaral L.A.N., Barabàsi A.L., Makse H.A., and Stanley H.E. Scaling properties of driven interfaces in disordered media. Phys. Rev. E 52 (1995) 4087-4104
2. Ambrosi, D., Mollica, F., 2003. Mechanical models of tumour growth. In: Preziosi, L. (Ed.), the volume Cancer Modelling and Simulation, Chapman & Hall, London, pp. 121-146.
3. Ambrosi D., and Mollica F. The role of stress in the growth of a multicell spheroid. J. Math. Biol. 48 (2004) 477-499
4. Araujo R., and McElwain D.L.S. New insights into vascular collapse and growth dynamics in solid tumours. J. Theor. Biol. 228 (2004) 335-346
5. Barabàsi A.-L., and Stanley H.E. Fractal Concepts in Surface Growth (1995), Cambridge University Press, Cambridge, England
6. Brú A., and Casero D. Anomalous scaling of multivalued interfaces. Europhys. Lett. 64 5 (2003) 620-626
7. Brú, A., Herrero, M.A., 2006. From the physical laws if tumour growth to modelling cancer processes. Math. Models Methods Appl. Sci., to appear.
8. Brú A., Pastor J.M., Fernaud I., Brú I., Melle S., and Berenguer C. Super-rough dynamics on tumour growth. Phys. Rev. Lett. 81 (1998) 4008-4011
9. Brú A., Albertos S., López J.A., and Brú I. The universal dynamics of tumour growth. Biophs. J. 85 (2003) 2948-2961
10. Brú, A., Albertos, S., López, J.A., Brú, I. 2004. Pinning of tumoural growth by enhancement of the immune response. Phys. Rev. Lett. 92(23), 238101-1.
11. Brú A., Albertos S., García-Hoz F., and Brú I. Regulation of neutrophilia by granulocyte colony-stimulating factor: a new cancer therapy that reversed a case of terminal hepatocellular carcinoma. J. Clin. Res. 98 (2005) 9-13
12. Byrne H., and Preziosi L. Modelling solid tumour growth using the theory of mixtures. Math. Med. Biol. 20 (2003) 341-366
13. Chaplain M.A.J., and Sleeman B.D. Modelling the growth of solid tumours and incorporating a method for their classification using nonlinear elasticity theory. J. Math. Biol. 3 (1992) 431-471
14. Chen C.Y., Byrne H.M., and King J.R. The influence of growth-induced stress from the surrounding medium on the development of multicell spheroids. J. Math. Biol. 43 (2001) 191-220
15. Claridge E., Hall P.N., Keefe M., and Allen J.P. Shape analysis for classification of malignant melanoma. J. Biomed. Eng. 14 (1992) 229-234
16. Cross S.S., McDonagh A.J.C., Stephenson T.J., Cotton D.W., and Underwood J.C. Fractal and integer-dimensional geometric analysis of pigmented skin lessions. Am. J. Dermatopathol. 17 (1995) 374-378
17. Das Sarma S. Dynamic scaling in epitaxial growth. In: Zhang Z., and Lagally M. (Eds). Morphological Organizations in Epitaxial Growth and Removal (1998), World Scientific, Singapore
18. Drasdo D., and Höhme St. Single-cell-based model of tumour growth in vitro: monolayers and spheroids. Phys. Biol. 2 (2005) 133-147
19. Eaves G. The invasive growth of malignant tumours as a purely mechanical process. J. Pathol. 109 3 (1973) 233-237
20. Ferreira Jr. S.C., Martins M.L., and Vilela M.J. Reaction-diffusion model for the growth of avascular tumour. Phys. Rev. E 65 (2002) 021907
21. Fletcher D.A., and Theriot J.A. An introduction to cell motility for the physical scientist. Phys. Biol. 1 (2004) T1-T10
22. Folkman J., and Hochberg M. Self-regulation of growth in three dimensions. J. Exp. Med. 138 (1973) 745-753
23. Gatenby R.A. Mathematical models of tumour-host interactions. Cancer J. 11 6 (1998) 289-293
24. Gatenby R.A., and Gawlinsky E.T. A reaction-diffusion model for cancer invasion. Cancer Res. 56 (1996) 5745-5753
25. Gordon V.D., Valentine M.T., Gardel M.L., Andor-Ardo D., Dennison S., Bogdanov A.A., Weitz D.A., and Deisboeck T.S. Measuring the mechanical stress induced by an expanding multicellular tumour system: a case study. Exp. Cell Res. 289 1 (2003) 58-66
26. Greenspan H.P. On the growth and stability of cell cultures and solid tumours. J. Theor. Biol. 56 (1976) 229-242
27. Hallet M.B., Emlay D., and Kramer P.D. Neutrophil: Cellular Biochemistry and Physiology (1989), CRC Press, Boca Raton, FL
28. Helmlinger G., Netti P.A., Lichtenbeld H.C., Melder R.J., and Jain R.K. Solid stress inhibits the growth of multicellular tumour spheroids. Nature Biotech. 5 (1997) 778-783
29. Hicks A.M., Riedlinger G., Willingham M.C., Alexander-Miller M.A., Von Kap-Herr C., Pettenati M.J., Sanders A.M., Wier H.M., Du W., Kim J., Simpson A.J.G., Old L.J., and Cui Z. Transferable anticancer innate immunity in spontaneous regression/complete resistance mice. Proc. Natl Acad. Sci. 103 20 (2006) 7753-7758
30. Kaufman L.J., Brangwynne C.P., Kasza K.E., Filippidi E., Gordon V.D., Deisboeck T.S., and Weitz D.A. Glioma expansion in collagen I matrices: analyzing collagen concentration-dependent growth and motility patterns. Biophs. J. 89 (2005) 635-650
31. Kessler D.A., Levine H., and Sander L.M. Molecular beam epitaxial growth and surface diffusion. Phys. Rev. Lett. 69 (1993) 100
32. Kim Y., Liu X.L.S., Liu C., Smith D.E., Russell R.M., and Wang X.D. Induction of pulmonary neoplasia in the smoke-exposed ferret by 4-(methylnitrosamino)-1-(3-pyridyl)-1-butanone (NNK): a model for human lung cancer. Cancer Lett. 234 2 (2006) 209-219
33. Komarova N.L. Mathematical modeling of tumourigenesis: mission possible. Curr. Opin. Oncol. 17 (2005) 39-43
34. Komarova N.L., and Mironov V. On the role of endothelial progenitor cells in tumour neovascularization. J. Theor. Biol. 235 3 (2005) 338-349
35. Koplik J., and Levine H. Interface moving through a random background. Phys. Rev. B 32 (1985) 280
36. Krug J., Plischke M., and Siegert M. Surface diffusion currents and the universality classes of growth. Phys. Rev. Lett. 70 21 (1993) 3271-3274
37. Lacasta A.M., Cantalapiedra I.R., Auguet C.E., Peñaranda A., and Ramírez-Piscina L. Modeling of spatiotemporal patterns in bacterial colonies. Phys. Rev. E 59 6 (1999) 7036-7041
38. Landman K.A., and Please C. Tumour dynamics and necrosis: surface tension and stability. IMA J. Math. Appl. Med. Biol. 18 (2001) 131-158
39. Makse H.A., Buldyrev S., Leschhorn H., and Stanley H.E. The pinning paths of an elastic interface. Europhys. Lett. 41 (1998) 251
40. Meakin P. Fractals, Scaling and Growth Far From Equilibrium (1998), Cambridge University Press, Cambridge
41. Molski M., and Konarski J. Coherent states of gompertzian growth. Phys. Rev. E 68 (2003) 021916
42. Mullins W.W. Flattening of a nearly plane solid surface due to capillarity. J. Appl. Phys. 30 (1959) 77
43. Nattermann T., Stepanov S., Tang L.H., and Leschhorn H. Dynamics of interface depinning in a disordered medium. J. Phys. II France 2 (1992) 1483
44. Norton L. Conceptual and practical implications of breast tissue geometry: toward a more effective, less toxic therapy. Oncologist 10 (2005) 370-381
45. Ramasco J.J., López J.M., and Rodríguez M.A. Generic dynamic scaling in kinetic roughening. Phys. Rev. Lett. 84 (2000) 2199-2202
46. Roose T., Netti P.A., Munn L.L., Boucher Y., and Jain R.K. Solid stress generated by spheroid growth estimated using a linear poroelastisity model. Microvasc. Res. 66 (2003) 204-212
47. Sachs J. Textbook of Botany, Morphological and Physiological (1875), Clarendon, Oxford
48. Sarntinoranont M., Rooney F., and Ferrari M. Interstitial stress and fluid pressure within a growing tumour. Ann. Biomed. Eng. Mar. 31 3 (2003) 327-335
49. Shackney S.E. Tumour Growth, Cell Cycle Kinetics and Cancer Treatment (1993), McGraw Hill, New York
50. Young J.S. The invasive growth of malignant tumours: an experimental interpretation based on elastic-jelly models. J. Pathol. Bacteriol. 77 2 (1959) 321-339