Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development

Mathematical Medicine and Biology

Volumn 23, Issue 3, 2006, Pages 197-229

  Chaplain, M A J ^a   Graziano, Luigi ^b   Preziosi, Luigi ^b  

^a UNIVERSITY OF DUNDEE   (United Kingdom)

^b POLITECNICO DI TORINO   (Italy)

Author keywords

Avascular tumour growth; Proliferative disorders; Stress responsiveness; Tissue growth

Indexed keywords

CELL CULTURE; CLONE CELLS; ORDINARY DIFFERENTIAL EQUATIONS; POPULATION STATISTICS; TUMORS;

AVASCULAR TUMOR GROWTH; EXTRACELLULAR MATRICES; NORMAL TISSUE; PROLIFERATIVE DISORDER; SOLID TUMORS; STRESS RESPONSIVENESS; TISSUE COMPRESSION; TISSUE GROWTH; TUMOR DEVELOPMENT; TUMOR GROWTH;

CELL PROLIFERATION;

ANIMAL CELL; ARTICLE; CARCINOGENESIS; CELL POPULATION; CELL PROLIFERATION; CELL TYPE; CLONE; COMPRESSION; CONTROLLED STUDY; EXTRACELLULAR MATRIX; HUMAN; HUMAN CELL; HYPERPLASIA; MATHEMATICAL MODEL; NONHUMAN; SOLID TUMOR; STRESS; TISSUE GROWTH; TUMOR GROWTH; VELOCITY;

EID: 33750099897     PISSN: 14778599     EISSN: 14778602     Source Type: Journal    
DOI: 10.1093/imammb/dql009     Document Type: Article

References (117)

1. Adam, J. A. & Bellomo, N. (eds) (1996) A Survey of Models on Tumour Immune Systems Dynamics. Boston: Birkhäuser.
2. Alini, M. & Losa, G. A. (1991) Partial characterization of proteoglycans isolated from neoplastic and nonneoplastic human breast tissues. Cancer Res., 51, 1443-1447.
3. Ambrosi, D. & Guana, F. (2005) Stress modulated growth. Math. Mech. Solids. doi: 10.1177/1081286505059739.
4. Ambrosi, D. & Mollica, F. (2002) On the mechanics of a growing tumour. Int. J. Eng. Sci., 40, 1297-1316.
5. Ambrosi, D. & Mollica, F. (2003) Mechanical models in tumour growth. Cancer Modelling and Simulation (L. Preziosi ed.). Chapman & Hall, pp. 121-145.
6. Ambrosi, D. & Mollica, F. (2004) The role of stress in the growth of a multicell spheroid. J. Math. Biol., 48, 477-499.
7. Ambrosi, D. & Preziosi, L. (2002) On the closure of mass balance models for tumour growth. Math. Models Methods Appl. Sci., 12, 737-754.
8. Anderson, A. R. A., Chaplain, M. A. J., Steele, R. J., Newman, E. L. & Thompson, A. (2000) Mathematical modelling of tumour invasion and metastasis. J. Theor Med., 2, 129-154.
9. Araujo, R. P. & McElwain, D. L. S. (2004a) A hystory of the study of solid tumour growth: The contribution of mathematical modelling. Bull. Math. Biol., 66, 1039-1091.
10. Araujo, R. P. & McElwain, D. L. S. (2004b) A linear-elastic model of anisotropic tumour growth. Eur J Appl. Math., 15, 365-384.
11. Barker, N. & Clevers, H. (2000) Catenins, wnt signalling and cancer. Bioessays, 22, 961-965.
12. Becker, K. F., Atkinson, M. J., Reich, U., Becker, I., Nekarda, H., Siewert, J. R. & Hofler, H. (1994) E-cadherin gene mutation provide clues to diffuse gastric carcinoma. Cancer Res., 54, 3845-3852.
13. Bellomo, N. & De Angelis, E. (eds) (2003) Modeling and simulation of tumour development, treatment, and control. Math. Comput. Model., 37, 1121-1252.
14. Bellomo, N., De Angelis, E. & Preziosi, L. L. (2003) Multiscale modeling and mathematical problems related to tumour evolution and medical therapy. J. Theor Med., 5, 111-136.
15. Berk, D. A., Yuan, F., Leunig, M. & Jain, R. K. (1993) Fluorescence photobleaching with spatial Fourier analysis: Measurement of diffusion in light scattering media. Biophys. J., 65, 2428-2436.
16. Bertsch, M., Gurtin, M. E., Hilhorst, D. & Peletier, L. A. (1985) On interacting populations that disperse to avoid crowding: Preservation and segregation. J. Math. Biol., 23, 1-13.
17. Breen, E. C. (2000) Mechanical strain increases type I collagen expression in pulmonary fibroblasts in vitro. J. Appl. Physiol., 88, 203-209.
18. Breward, C. J. W., Byrne, H. M. & Lewis, C. E. (2001) Modeling the interactions between tumour cells and a blood vessel in a microenvironment within a vascular tumour. Eur J. Appl. Math., 12, 529-556.
19. Breward, C. J. W., Byrne, H. M. & Lewis, C. E. (2002) The role of cell-cell interactions in a two-phase model for avascular tumour growth. J. Math. Biol., 45, 125-152.
20. Breward, C. J. W., Byrne, H. M. & Lewis, C. E. (2003) A multiphase model describing vascular tumour growth. Bull. Math. Biol., 65, 609-640.
21. Brewster, C. E., Howarth, P. H., Djukanovic, R., Wilson, J., Holgate, S. T. & Roche, W. R. (1990) Myofibroblasts and subepithelial fibrosis in bronchial asthma. Am. J. Respir Cell Mol. Biol., 3, 507-511.
22. Brown, L. F., Guidi, A. J., Schnitt, S. J., van de Water, L., Iruela-Arispe, M. L., Yeo, T.-K., Tognazzi, K. & Dvorak, H. F. (1999) Vascular stroma formation in carcinoma in situ, invasive carcinoma and metastatic carcinoma of the breast. Clin. Cancer Res., 5, 1041-1056.
23. Byrne, H. M., King, J. R., McElwain, D. L. S. & Preziosi, L. (2003) A two-phase model of solid tumour growth. Appl. Math. Lett., 16, 567-573.
24. Byrne, H. M. & Preziosi, L. (2004) Modeling solid tumour growth using the theory of mixtures. Math. Med. Biol., 20, 341-366.
25. Carter. S. B. (1965) Principles of cell motility: The direction of cell movement and cancer invasion. Nature. 208. 1183-1187.
26. Castilla, M. A., Arroyo, M. V. A., Aceituno, E., Aragoncillo, P., Gonzalez-Pacheco, F. R., Texeiro, E., Bragado, R. & Caramelo, C. (1999) Disruption of cadherin-related junctions triggers autocrine expression of vascular endothelial growth factor in bovine aortic endothelial cells. Effect on cell proliferation and death resistance. Circ. Res., 85, 1132-1138.
27. Cavallaro, U., Schaffhauser, B. & Christofori, G. (2002) Cadherin and the tumour progression: Is it all in a switch? Cancer Lett., 176, 123-128.
28. Caveda, L., Martin-Padura, I., Navarro, P., Breviario, F., Corada, M., Gulino, D., Lampugnani, M. G. & Dejana, E. (1996) Inhibition of cultured cell growth by vascular endothelial cadherin (cadherin-5/VE-cadherin). J. Clin. Invest., 98, 886-893.
29. Chambers, A. F. & Matrisian, L. M. (1997) Changing views of the role of matrix metalloproteinases in metastasis. J. Natl Cancer Inst., 89, 1260-1270.
30. Chaplain, M. A. J. (ed.) (1999) Special issue on mathematical models for the growth, development and treatment of tumours. Math. Models Methods Appl. Sci., 9, 491-626.
31. Chaplain, M. A. J. (ed.) (2002) Special issue on mathematical modeling and simulations of aspects of cancer growth. J. Theor Med., 4, 1-93.
32. Chaplain, M. A. J. & Anderson, A. R. A. (2003) Mathematical modeling of tissue invasion. Cancer Modelling and Simulation (L. Preziosi ed.). Chapman & Hall, pp. 264-297.
33. Chiquet, M., Matthisson, M., Koch, M., Tannheimer, M. & Chiquet-Ehrismann, R. (1996) Regulation of extracellular matrix synthesis by mechanical stress. Biochem. Cell Biol., 74, 737-744.
34. Chiquet, M., Renedo, A. S., Huber, F. & Flück, M. (2003) How, do fibroblasts translate mechanical signals into changes in extracellular matrix production? Matrix Biol., 22, 73-80.
35. Christensen, L. (1992) The distribution of fibronectin, laminin and tetranectin in human breast cancer with special attention to the extracellular matrix. APMIS Suppl., 26, 1-39.
36. Christofori, G. & Semb, H. (1999) The role of cell-adhesion molecule E-cadherin as a tumors-suppressor gene. Trends Biochem. Sci., 24, 73-76.
37. Chuong, C. J. & Fung, Y. C. (1986) On residual stresses in arteries. ASME J. Biomech. Eng., 108, 189-192.
38. Coats, S., Flanagan, W. M., Nourse, J. & Roberts, J. (1996) Requirement of p27kip1 for restriction point control of the fibroblast cell cycle. Science, 272, 877-880.
39. Coplen, D. E., Macarak, E. J. & Howard, P. S. (2003) Matrix synthesis by bladder smooth muscle cells is modulated by stretch frequency. In Vitro Cell. Dev. Biol., 39, 157-162.
40. De Angelis, E. & Preziosi, L. (2000) Advection-diffusion models for solid tumours in vivo and related free-boundary problems. Math. Models Methods Appl. Sci., 10, 379-408.
41. Dejana, E., Lampugnani, M. G., Giorgi, M., Gaboli, M. & Marchisio, P. C. (1990) Fibrinogen induces endothelial cell adhesion and spreading via the release of endogenous matrix proteins and the recruitment of more than one integrin receptor. Blood, 75, 1509-1517.
42. Deleu, L., Fuks, F., Spitkovsky, D., Hörlein, R., Faisst, S. & Rommelaere, J. (1998) Opposite transcriptional effects of cyclic AMP-responsive elements in confluent or p27kip-overexpressing cells versus serum-starved or growing cells. Mol. Cell. Biol., 18, 409-419.
43. Di Carlo, A. & Quiligotti, S. (2002) Growth and balance. Mech. Res. Commun., 29, 449-456.
44. Dietrich, C., Wallenfrang, K., Oesch, F. & Wieser, R. (1997) Differences in the mechanisms of growth control in contact-inhibited and serum-deprived human fibroblasts. Oncogene, 15, 2743-2747.
45. Franks, S. J. & King, J. R. (2003) Interactions between a uniformly proliferating tumour and its surrounding. Uniform material properties. Math. Med. Biol., 20, 47-89.
46. Freyer, J. P. & Sutherland, R. M. (1986) Regulation of growth saturation and development of necrosis in EMT6/Ro multicellular spheroids by the glucose and oxygen supply. Cancer Res., 46, 3504-3512.
47. Fung, Y. C. (1993) Biomechanics: Mechanical Properties of Living Tissues. New York: Springer.
48. Fusi, L., Farina, A. & Ambrosi, D. (2006) Mathematical modelling of a solid-liquid mixture with mass exchange between constituents. Math. Mech. Solids (to appear).
49. Gat, U., DasGupta, R., Degenstein, L. & Fuchs, E. (1998). De novo hair follicle morphogenesis and hair tumors in mice expressing a truncated β-catenin in skin. Cell, 95, 605-614.
50. Gatenby, R. A. & Gawlinski, E. T. (1996) A reaction-diffusion model of cancer invasion. Cancer Res., 56, 5745-5753.
51. George, S. J. & Dwivedi, A. (2004) MMPs, cadherins, and cell proliferation. Trends Cardiovasc. Mech., 14, 100-105.
52. Gottardi, C. J., Wong, E. & Gumbiner, B. M. (2001) E-cadherin suppresses cellular transformation by inhibiting, β-catenin signalling in an adhesion-independent manner. J. Cell Biol., 153, 1049-1060.
53. Gurtin, M. E. & McCamy, R. C. (1977) On the diffusion of biological populations. Math. Biosci., 33, 35-49.
54. Hanahan, D. & Folkman, J. (1996) Patterns and emerging mechanisms of the angiogenic switch during tumorigenesis. Cell, 86, 353-364.
55. Harada, N., Tamai, Y., Ishikawa, T., Sauer, G., Takaku, K., Oshima, M. & Taketo, M. M. (1999) Intestinal polyposis in mice with a dominant stable mutation of the β-catenin gene. EMBO J., 18, 5931-5942.
56. Harja, K. M. & Fearon, E. R. (2002) Cadherin and catenin alterations in human cancer. Genes Chromosomes Cancer, 34, 255-268.
57. Helmlinger, G., Netti, P. A., Lichtenbeld, H. C., Melder, R. J. & Jain, R. K. (1997) Solid stress inhibits the growth of multicellular tumour spheroids. Nat. Biotechnol., 15, 778-783.
58. Hengst, L., Dulic, V., Slingerland, J. M., Lees, E. & Reed, S. I. (1994) A cell cycle-regulated inhibitor of cyclin-dependent kinase. Proc. Natl Acad. Sci. USA, 91, 5291-5295.
59. Hengst, L. & Reed, S. I. (1996) Translational control of p27Kip1 accumulation during the cell cycle. Science, 271, 1861-1864.
60. Hillen, T. (2002) Hyperbolic models for chemosensitive movement. Math. Models Methods Appl. Sci., 12, 1007-1034.
61. Humphrey, J. D. & Rajagopal, K. R. (2002) A constrained mixture model for growth and remodeling of soft tissues. Math. Models Methods Appl. Sci., 12, 407-430.
62. Hutton, M., Willenbrock, F., Brocklehurst, K. & Murphy, G. (1998) Kinetic analysis of the mechanism of interaction of full-length TIMP-2 and gelatinase A: Evidence for the existence of a low affinity intermediate. Biochemistry, 37, 10094-10098.
63. Johnson, P. R. A. (2001) Role of human airway smooth muscle in altered extracellular matrix production in asthma. Clin. Exp. Pharmacol. Physiol., 28, 233-236.
64. Karagiannis, E. D. & Popel, A. S. (2004) A theoretical model of type I collagen proteolysis by matrix metalloproteinases (MMP)2 and membrane type 1 MMP in the presence of tissue inhibitor of metalloproteinases 2. J. Biol. Chem., 279, 39105-39114.
65. Kato, A., Takahashi, H., Takahashi, Y. & Matsushime, H. (1997) Inactivation of the cyclin D-dependent kinase in the rat fibroblast cell line, 3Y1, induced by contact inhibition. J. Biol. Chem., 272, 8065-8070.
66. Kim, S.-G., Akaike, T., Sasagawa, T., Atomi, Y. & Kurosawa, H. (2002) Gene expression of type I and type III collagen by mechanical stretch in anterior cruciate ligament cells. Cell Struct. Funct., 27, 139-144.
67. Kjaer, M. (2004) Role of extracellular matrix in adaptation of tendons and skeletal muscle to mechanical loading. Physiol. Rev., 84, 649-698.
68. Klominek, J., Robert, K. H. & Sundqvist, K.-G. (1993) Chemotaxis and haptotaxis of human malignant mesothelioma cells: Effects of fibronectin, laminin, type IV collagen, and an autocrine motility factor-like substance. Cancer Res., 53, 4376-4382.
69. Lacovara, J., Cramer, E. B. & Quigley, J. P. (1984) Fibronectin enhancement of directed migration of B16 melanoma cells. Cancer Res., 44, 1657-1663.
70. Lagace, R., Grimaud, J. A., Schurch, W. & Seemayer, T. A. (1985) Myofibroblastic stromal reaction in carcinoma of the breast: Variations of collagenous matrix and structural glycoproteins. Vircows Arch. A Pathol. Anat Histopatol., 408, 49-59.
71. Lawrence, J. A. & Steeg, P. S. (1996) Mechanisms of tumour invasion and metastasis. World J. Urol., 14, 124-130.
72. Lee, C. H., Shin, H. J., Cho, I. H., Kang, Y.-M., Kim, I. A., Park, K.-D. & Shin, J.-W. (2005) Nanofiber alignment and direction of mechanical strain affect the ECM production of human ACL fibroblant. Biomaterials, 26, 1261-1270.
73. Levenberg, S., Yarden, A., Kam, Z. & Geiger, B. (1999) p27 is involved in N-cadherin-mediated contact inhibition of cell growth and S-phase entry. Oncogene, 18, 869-876.
74. Levick, J. R. (1987) Flow through interstitium and other fibrous matrices. Quart. J. Exp. Physiol. Cogn. Med. Sci., 72, 409-438.
75. Liotta, L. A. & Kohn, E. C. (2001) The microenvironment of the tumor-host interface. Nature, 411, 375-379.
76. MacKenna, D., Summerour, S. R. & Villarreal, F. J. (2000) Role of mechanical factors inmodulatin cardiac fibroblast function and extracellular matrix synthesis. Cardiovasc. Res., 46, 257-263.
77. Mao, J. J. & Nah, H.-D. (2004) Growth and development: Hereditary and mechanical modulations. Am. J. Orthod. Dentofacial Orthop., 125, 676-689.
78. Marotta, M., Vecchione, R., Martino, G., Darmiento, F. P., De Cesare, M. & Rosati, P. (1985) Glycosaminoglycan-enriched extracellular matrix surrounds intraductal carcinoma of human breast, histochemical study. Appl. Pathol., 3, 179-185.
79. Matrisian, L. M. (1992) The matrix-degrading metalloproteinases. Bioessays, 14, 455-463.
80. McCarthy, J. B. & Furcht, L. T. (1984) Laminin and fibronectin promote the directed migration of B16 melanoma cells in vitro. J. Cell Biol., 98, 1474-1480.
81. Nelson, C. M. & Chen, C. S. (2003) VE-cadherin simultaneously stimulates and inhibits cell proliferation by altering cytoskeletal structure and tension. J. Cell Sci., 116, 3571-3581.
82. Newby, A. C. & Zaltsman, A. B. (2000) Molecular mechanisms in intimal hyperplasia. J. Pathol., 190, 300-309.
83. Oda, T., Kanai, Y., Okama, T., Yoshiura, K., Shimoyama, Y., Birchmeier, W., Sugimura, T. & Hirohashi, S. (1994) E-cadherin gene mutation in human gastric carcinoma cell lines. Proc. Natl Acad. Sci. USA, 91, 1858-1862.
84. Ottl, J., Gabriel, D., Murphy, G., Knauper, V., Tominaga, Y., Nagase, H., Kroger, M., Tschesche, H., Bode, W. & Moroder, L. (2000) Recognition and catabolism of synthetic heterotrimetric collagen peptides by matrix metalloproteinases. Chem. Biol., 7, 119-132.
85. Painter, K. & Hillen, T. (2002) Volume filling and quorum-sensing in models for chemosensitive movement. Can. Appl. Math. Q., 10, 501-543.
86. Parson, S. L., Watson, S. A., Brown, P. D., Collins, H. M. & Steele, R. J. C. (1997) Matrix metalloproteinases. Br J. Surg., 84, 160-166.
87. Paszek, M. J., Zahir, N., Johnson, K. R., Lakins, J. N., Rozenberg, G. I., Gefen, A., Reinhart-King, C. A., Margulies, S. S., Dembo, M., Boettiger, D., Hammer, D. A. & Weaver, V. M. (2005) Tensional homeostasis and the malignant phenotype. Cancer Cell, 8, 241-254.
88. Perumpanani, A. J. & Byrne, H. M. (1996) Biological inferences from a mathematical model of malignant invasion. Invasion Metastasis, 16, 209-221.
89. Polyak, K., Kato, J., Solomon, M. J., Sherr, C. J., Massague, J., Roberts, J. M. & Koff, A. (1994a) p27Kip1, a cyclin-Cdk inhibitor, links transforming growth factor-β and contact inhibition to cell cycle arrest. Genes Dev., 8, 9-22.
90. Polyak, K., Lee, M. H., Erdjument-Bromage, H., Koff, A., Roberts, J. M., Tempst, P. & Massague, J. (1994b) Cloning of p27Kip1, a cyclic-dependent kinase inhibitor and a potential mediator of extracellular antimitogenic signals. Cell, 78, 59-66.
91. Preziosi, L. (ed.) (2003) Cancer Modelling and Simulation. Boca Raton, FL: CRC-Press.
92. Preziosi, L. & Graziano, L. (2003) Multiphase models of tumour growth: general framework and particular cases. Mathematical Modeling and Computer in Biology and Medicine. Proceeedings of the 5th Conference on the ESMTB. (V. Capasso ed.). Milan: Società Editrice Esculapio, pp. 622-628.
93. Pujuguet, P., Hammann, A., Moutet, M., Samuel, J. L., Martin, F. & Martin, M. (1996) Expression of fibronectin EDA+ and EDB+ isoforms by human and experimental colorectal cancer. Am. J. Pathol., 148, 579-592.
94. Quigley, J. P., Lacovara, J. & Cramer, E. B. (1983) The directed migration of B-16 melanoma cells in response to a haptotactic chemotactic gradient of fibronectin. J. Cell Biol., 97, A450-A451.
95. Rao, I. J., Humphrey, J. D. & Rajagopal, K. R. (2003) Biological growth and remodeling: A uniaxial example with possible application to tendons and ligaments. Comput. Model. Eng. Sci., 4, 439-455.
96. Risinger, J. I., Berchuck, A., Kohler, M. F. & Boyd, J. (1994) Mutation of E-cadherin gene in human gynecological cancers. Nat. Genet., 7, 98-102.
97. Rouslahti, E. (1997) Stretching is good for a cell. Science, 276, 1345-1346.
98. Rubinfeld, B., Souza, B., Albert, I., Muller, O., Chamberlain, S. H., Masiark, F. R., Munemitsu, S. & Polakis, P. (1993) Association of the APC gene product with, β-catenin. Science, 262, 1731-1734.
99. Skalak, R., Zargaryan, S., Jain, R. K., Netti, P. A. & Hoger, A. (1996) Compatibility and genesis of residual stress by volumetric growth. J. Math. Biol., 34, 889-914.
100. St Croix, B., Sheehan, C., Rak, J. W., Florenes, V. A., Slingerland, J. M. & Kerbel, R. S. (1998) E-cadherin-dependent growth suppression is mediated by the cyclin-dependent kinase inhibitor p27(Kip1). J. Cell Biol., 142, 557-571.
101. Stetler-Stevenson, W. G., Hewitt, R. & Corcoran, M. (1996) Matrix metalloproteinases and tumour invasion: From correlation to causality to the clinic. Cancer Biol., 7, 147-154.
102. Stockinger, A., Eger, A., Wolf, J., Beug, H. & Foisner, R. (2001) E-cadherin regulates cell growth by modulating proliferation-dependent β-catenin transcriptional activity. J Cell Biol., 152, 1185-1196.
103. Su, L. K., Vogelstein, B. & Kinzel, K. W. (1993) Association of the APC tumor suppressor gene with catenins. Science, 262, 1734-1737.
104. Sutherland, R. M. & Durand, R. E. (1984) Growth and cellular characteristics of multicell spheroids. Recent Results Cancer Res. 95, 24-49.
105. Taber, L. & Humphrey, J. D. (2001) Stress-modulated growth, residual stress and vascular heterogeneity. ASME J. Biomech. Eng., 123, 528-535.
106. Takeuchi, T., Misaki, A., Liang, S.-B., Tachibana, A., Hayashi, N., Sonobe, H. & Ohtsuki, Y. (2000) Expression of T-cadherin (CDH13, H-cadherin) in human brain and its characteristics as a negative growth regulator of epidermal growth factor in neuroblastoma cells. J. Neurochem., 74, 1489-1497.
107. Takeuchi, J., Sobue, M., Sato, E., Shamoto, M. & Miura, K. (1976) Variation in glycosaminoglycan components of breast tumours. Cancer Res., 36, 2133-2139.
108. Tzukatani, Y., Suzuki, K. & Takahashi, K. (1997) Loss of density-dependent growth inhibition and dissociation of α-catenin from E-cadherin. J. Cell. Physiol., 173, 54-63.
109. Tzukita, S., Itoh, M., Nagafuchi, A., Yonemura, S. & Tsukita, S. (1993) Submembrane junctional plaque proteins include potential tumor suppressor molecules. J. Cell Biol., 123, 1049-1053.
110. Uglow, E. B., Angelini, G. D. & George, S. J. (2000) Cadherin expression is altered during intimal thickening in humal sapphenous vein. J. Submicrosc. Cytol. Pathol., 32, C113-C119.
111. Uglow, E. B., Slater, S., Sala-Newby, G. B., Aguilera-Garcia, C. M., Angelini, G. D., Newby, A. C. & George, S. J. (2003) Dismantling of cadherin-mediated cell-cell contacts modulates smooth muscle cell proliferation. Circ. Res., 92, 1314-1321.
112. Vijayagopal, P., Figueroa, J. E. & Levine, E. A. (1998) Altered composition and increased endothelial cell proliferative activity of proteoglycans isolated from breast carcinoma. J. Surg. Oncol., 68, 250-251.
113. Warchol, M. E. (2002) Cell proliferation and N-cadherin interactions regulate cell proliferation in the sensory epithelia of the inner ear. J. Neurosci., 22, 2607-2616.
114. Winston, J., Dong, F. & Pledger, W. J. (1996) Differential modulation of G1 cyclins and the Cdk inhibitor p27kip1 by platelet-derived growth factor and plasma factors in density-arrested fibroblasts. J. Biol. Chem., 271, 11253-11260.
115. Wolf, K., Mueller, R., Borgmann, S., Broecker, E.-B. & Friedl, P. (2003) Ameboid shape change and contact guidance: T-lymphocyte crawling through fibrillar collagen is independent of matrix remodelling by MMPs and other proteases. Blood, 102, 3262-3269.
116. Yang, C.-M., Chien, C.-S., Yao, C.-C., Hsiao, L.-D., Huang, Y.-C. & Wu, C. B. (2004) Mechanical strain induces collagenases-3 (MMP-13) expression in MC3T3-E1 osteoblastic cells. J. Biol. Chem., 279, 22158-22165.
117. Zhang, Y., Nojima, S., Nakayama, H., Yulan, J. & Enza, H. (2003) Characteristics of normal stromal components and their correlation with cancer occurrence in human prostate. Oncol. Rep., 10, 207-211.