메뉴 건너뛰기




Volumn 20, Issue 3, 2003, Pages 277-308

Mathematical modelling of comedo ductal carcinoma in situ of the breast

Author keywords

DCIS; Membrane theory; Nutrient limited growth; Strokes flow

Indexed keywords

CELL PROLIFERATION; DUCTS; NUMERICAL METHODS; NUTRIENTS;

EID: 0347504530     PISSN: 14778599     EISSN: None     Source Type: Journal    
DOI: 10.1093/imammb/20.3.277     Document Type: Article
Times cited : (73)

References (26)
  • 3
    • 0032733854 scopus 로고    scopus 로고
    • Matrix-metalloproteinases 1, 2 and 3 and their tissue inhibitors 1 and 2 in benign and malignant breast lesions: An in situ hybridization study
    • Brummer, O., Athar, S., Riethdorf, L., Loning, T. & Herbst, H. (1999) Matrix-metalloproteinases 1, 2 and 3 and their tissue inhibitors 1 and 2 in benign and malignant breast lesions: An in situ hybridization study. Int. J. Path., 435, 566-573.
    • (1999) Int. J. Path. , vol.435 , pp. 566-573
    • Brummer, O.1    Athar, S.2    Riethdorf, L.3    Loning, T.4    Herbst, H.5
  • 4
    • 0031309511 scopus 로고    scopus 로고
    • The importance of intercellular adhesion in the development of carcinomas
    • Byrne, H. M. (1997) The importance of intercellular adhesion in the development of carcinomas. IMA J. Math. Appl. Med. Biol., 14, 305-323.
    • (1997) IMA J. Math. Appl. Med. Biol. , vol.14 , pp. 305-323
    • Byrne, H.M.1
  • 5
    • 0026568374 scopus 로고
    • Variations in tumor cell growth rates and metabolism with oxygen concentration, glucose concentration and extracellular pH
    • Casciari, J. J., Sotirchos, S. V. & Sutherland, R. M. (1992) Variations in tumor cell growth rates and metabolism with oxygen concentration, glucose concentration and extracellular pH. J. Cell. Physiol., 151, 386-394.
    • (1992) J. Cell. Physiol. , vol.151 , pp. 386-394
    • Casciari, J.J.1    Sotirchos, S.V.2    Sutherland, R.M.3
  • 6
    • 0027291070 scopus 로고
    • The strain energy function of an ideal plant cell wall
    • Chaplain, M. A. J. (1993) The strain energy function of an ideal plant cell wall. J. Theor. Biol., 163, 77-97.
    • (1993) J. Theor. Biol. , vol.163 , pp. 77-97
    • Chaplain, M.A.J.1
  • 7
    • 0027437155 scopus 로고
    • Modelling the growth of solid tumours and incorporating a method for their classification using nonlinear elasticity theory
    • Chaplain, M. A. J. & Sleeman, B. D. (1992) Modelling the growth of solid tumours and incorporating a method for their classification using nonlinear elasticity theory. J. Math. Biol., 31, 431-473.
    • (1992) J. Math. Biol. , vol.31 , pp. 431-473
    • Chaplain, M.A.J.1    Sleeman, B.D.2
  • 8
    • 0031029433 scopus 로고    scopus 로고
    • Distinct angiogenic patterns are associated with high-grade in situ ductal carcinomas of the breast
    • Engels, K., Fox, S. B., Whitehouse, R. M., Gatter, K. C. & Harris, A. L. (1997) Distinct angiogenic patterns are associated with high-grade in situ ductal carcinomas of the breast. J. Path., 181, 207-212.
    • (1997) J. Path. , vol.181 , pp. 207-212
    • Engels, K.1    Fox, S.B.2    Whitehouse, R.M.3    Gatter, K.C.4    Harris, A.L.5
  • 9
    • 57249107803 scopus 로고    scopus 로고
    • On the exact speed and amplitude of solitary waves in fluid-filled elastic tubes
    • Epstein, M. & Johnston, C. R. (2001) On the exact speed and amplitude of solitary waves in fluid-filled elastic tubes. Proc. R. Soc. Lond. A., 457, 1195-1213.
    • (2001) Proc. R. Soc. Lond. A. , vol.457 , pp. 1195-1213
    • Epstein, M.1    Johnston, C.R.2
  • 10
    • 0015804548 scopus 로고
    • Self regulation of growth in three dimensions
    • Folkman, J. & Hochberg, M. (1973) Self regulation of growth in three dimensions. J. Exp. Med., 138, 745-753.
    • (1973) J. Exp. Med. , vol.138 , pp. 745-753
    • Folkman, J.1    Hochberg, M.2
  • 13
    • 0042562209 scopus 로고    scopus 로고
    • Interaction between a uniformly proliferating tumour and its surroundings: Uniform material properties
    • Franks, S. J. & King, J. R. (2003) Interaction between a uniformly proliferating tumour and its surroundings: Uniform material properties. Math. Med. Biol., 20, 47-89.
    • (2003) Math. Med. Biol. , vol.20 , pp. 47-89
    • Franks, S.J.1    King, J.R.2
  • 16
    • 0000128125 scopus 로고
    • Models for the growth of a solid tumor by diffusion
    • Greenspan, H. P. (1972) Models for the growth of a solid tumor by diffusion. Stud. Appl. Math., 51, 317-340.
    • (1972) Stud. Appl. Math. , vol.51 , pp. 317-340
    • Greenspan, H.P.1
  • 17
    • 0017198676 scopus 로고
    • On the growth and stability of cell cultures and solid tumors
    • Greenspan, H. P. (1976) On the growth and stability of cell cultures and solid tumors. J. Theo. Biol., 56, 229-242.
    • (1976) J. Theo. Biol. , vol.56 , pp. 229-242
    • Greenspan, H.P.1
  • 19
    • 38249010504 scopus 로고
    • Joined dissimilar elastic thin tubes containing steady viscous-flow
    • Hart, V. G. & Shi, J. (1992) Joined dissimilar elastic thin tubes containing steady viscous-flow. J. Mech. Phys. Solids, 40, 1507-1527.
    • (1992) J. Mech. Phys. Solids , vol.40 , pp. 1507-1527
    • Hart, V.G.1    Shi, J.2
  • 21
    • 0021732038 scopus 로고
    • Inhibition of the estradiol-induced growth of cultured human breast cancer cells by the anti-estrogens tamoxifen, desmethyl-tamoxifen, 4-hydroxy-tamoxifen and enclomiphene
    • Marth, C., Daxenbichler, G., Buehring, G. C., Hofstadter, F. & Dapunt, O. (1984) Inhibition of the estradiol-induced growth of cultured human breast cancer cells by the anti-estrogens tamoxifen, desmethyl-tamoxifen, 4-hydroxy-tamoxifen and enclomiphene. Biochem. Pharmacol., 33, 3951-3956.
    • (1984) Biochem. Pharmacol. , vol.33 , pp. 3951-3956
    • Marth, C.1    Daxenbichler, G.2    Buehring, G.C.3    Hofstadter, F.4    Dapunt, O.5
  • 22
    • 0020038803 scopus 로고
    • Oxygen-tensions in multicell spheroids of 2 cell-lines
    • Mueller-Klieser, W. F. & Sutherland, R. M. (1982) Oxygen-tensions in multicell spheroids of 2 cell-lines. Br. J. Cancer, 45, 256-264
    • (1982) Br. J. Cancer , vol.45 , pp. 256-264
    • Mueller-Klieser, W.F.1    Sutherland, R.M.2
  • 23
    • 0346663035 scopus 로고    scopus 로고
    • Malignant and morphogenetic waves
    • Ph.D. Thesis, University of Oxford
    • Perumpanani, A. J. (1996) Malignant and morphogenetic waves. Ph.D. Thesis, University of Oxford.
    • (1996)
    • Perumpanani, A.J.1
  • 25
    • 0032704903 scopus 로고    scopus 로고
    • DCIS grading schemes and clinical implications
    • Shoker, B. S. & Sloane, J. P. (1999) DCIS grading schemes and clinical implications. Histopath., 35, 393-400.
    • (1999) Histopath. , vol.35 , pp. 393-400
    • Shoker, B.S.1    Sloane, J.P.2
  • 26
    • 0031087466 scopus 로고    scopus 로고
    • Mathematical modelling of avascular-tumour growth
    • Ward, J. P. & King, J. R. (1997) Mathematical modelling of avascular-tumour growth. IMA J. Math. Appl. Med. Biol., 14, 39-69.
    • (1997) IMA J. Math. Appl. Med. Biol. , vol.14 , pp. 39-69
    • Ward, J.P.1    King, J.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.